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Results tagged with modular-forms
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user 18394
Questions about modular forms and related areas
23
votes
3
answers
4k
views
Subgroups of GL(2,q)
I have been wondering about something for a while now, and the simplest incarnation of it is the following question:
Find a finite group that is not a subgroup of any $GL_2(q)$.
Here, $GL_2(q)$ …
- 295
4
votes
1
answer
725
views
Rational points on $X_0(15)$
The modular curve $X_0(15)$ has a canonical model over $\mathbf{Q}$, and it has genus $1$. As the cusp $\infty$ is rational, it is an elliptic curve. Roughly, my question is whether we can find all th …
- 295
2
votes
1
answer
530
views
Is there a Miller basis for M_k(N)?
The space $M_k(1)$ of modular forms of level $1$ has a unique basis $\left\{ f_0,f_1,\ldots,f_d\right\}$ such that $a_i(f_j) = \delta_{ij}$ for all $0\leq i,j \leq d$, and $f_i \in \mathbb{Z}[[q]]$ f …
- 295