# Questions tagged [elliptic-curves]

An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varieties, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.

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### finite $p$ extensions on adjoining $p$-torsion points of an elliptic curve

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### Field of Definition of Quotient of Elliptic Curve

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### Structure of the End group scheme of an abelian scheme over ring of integers

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### Is there a substitution that relates every Fermat curve to an elliptic curve?

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### Algebraic theta-functions of level $2$ on an elliptic curve

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### What do we know about the ramification of the modularity map $X_0(N)\to E$?

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### Kato's Euler System for Isogenous Elliptic Curves

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### Local root numbers of the Hecke character associated with some specific CM elliptic curves, should they be some roots of unity?

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### trivial solutions for Diophantine equations

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### Deuring's result on elliptic curves. Any proof reference

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### Distribution of Elliptic Curve Generators over Q

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### A website which explains Mazur's torsion point theorem

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### Is there relationship between $\mu=0$ for an elliptic curve and the irreducibility of its residual representation at a prime $p$?

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### How likely is it for Selmer groups to have mu invariant 0?

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### What are the smallest positive $a,b,c$ for which $a/(b+c)+b/(a+c)+c/(a+b)$ is an integer $>2$?

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### lcalc and the Analytic Rank of $y^2 = x^3 + 432764797 x^2 + 332896 x$

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### Record analytic rank for an elliptic curve?

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### When is this localization map injective, if at all?

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### Notation for endomorphism algebra of Elliptic Curves

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### Do we need the Weber function to generate ray class fields of imaginary quadratic fields of class number one?

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### Elliptic curves and $GL(2)$ Iwasawa theory

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### The valuation of j-functions vs number of isomorphisms for an elliptic curve

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### Sage: Evaluation precision for elliptic curves over p-adic fields

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### Raynaud's universal Tate elliptic curves

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### Existence of newforms which are non-ordinary at a given prime

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### Existence of certain endomorphism of supersingular elliptic curve

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### BSD conjecture for rank 1 elliptic curves

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### On $x^4+16z^n=y^2$ and $x^4+z^n=y^2$

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### Can the base of an elliptically fibered Calabi-Yau threefold be an Enriques surface?

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### An explicit correspondence for reductions of modular curves $Y(N)$

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### Points of elliptic curves over cyclotomic extensions

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### Smooth morphisms to the moduli stack of elliptic curves

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### Is there infinitely many prime $p$ such that the normalized trace of Frobenius $\frac{a_p(E)}{2\sqrt{p}}$ is arbitrarily small (but not zero)?

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### Torsion subgroup of the group of points of an elliptic curve over local field

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### Which proportion of elliptic curves over Q is proved to satisfy BSD conjecture?

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### p-adic L-functions for (dual of) fine Selmer Groups

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### projective plane cubics with exactly 9 real points

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### Largest rank assumed by infinitely many elliptic curves

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### Singular abelian surfaces that can be defined over $\mathbb Q$

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### Confusion on supersingular reduction of elliptic curves with complex multiplication

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### Tangent Bundle of reducible genus one curves

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### Isogenies of degree 3 of elliptic curves with j-invariant 0

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### Growth of Selmer Groups

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### The specific elliptic fibration on the Kummer surface of the superspecial abelian surface

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### The quotient of a superspecial abelian surface by the involution

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### Elliptic fibrations on the Fermat quartic surface

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### Modular parametrization of a curve of Heegner and Weber

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### Explicit example of elliptic curve of the kind needed for IUTT

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### How to compute Weber polynomials efficiently?

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