27

Answers
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5
Best bounds toward Serre’s uniformity conjecture
7
Are Kato’s zeta elements integral?
7
Deducing BSD from Gross-Zagier and Kolyvagin
2
Do isogenies with rational kernels tend to be surjective?
5
How many points are there on an elliptic curve reduced at a bad prime?
8
Smart elliptic curve rational point search given Reg*#Sha
10
Torsion subgroups in families of twists of elliptic curves
4
Tamagawa numbers of abelian varieties and torsion.
10
Is (n,m)=(18,7) the only positive solution to n^2 + n + 1 = m^3 ?
3
How to explicitly compute lifting of points from an elliptic curve to a modular curve?
6
How to get explicit unramified covers of an elliptic curve?
11
Can the number of solutions $xy(x-y-1)=n$ for $x,y,n \in Z$ be unbounded as n varies?
3
Prime factorization theory
16
P-adic L functions
2
applications of Tate-Poitou duality
7
Capitulation in cyclotomic extensions
10
Why are the only numbers $m$ for which $n^{m+1}\equiv n \pmod{m}$ also the only numbers such that $\displaystyle\sum_{n=1}^{m}{n^m}\equiv 1 \bmod m$?
2
Fermat’s Bachet-Mordell Equation
3
Motivation for uniform surjectivity of mod l representations associated to elliptic curves
3
Geometric meaning of fiber of modular parameterization over a point of an elliptic curve?
5
Reciprocity law for number fields defined by torsion points of modular elliptic curves
3
How is the period of an elliptic curve defined exactly?
1
non-commutative iwasawa theory
8
Does p-adic $L$- function determine the $L$ function
3
finite generation of the Mordell-Weil group over finitely generated fields
4
Additive reduction of elliptic curves
6
Decomposition of Tate-Shafarevich groups in field extensions