Modular forms and elliptic curves over the cubic field of discriminant -23
نویسندگان
چکیده
Let F be the cubic field of discriminant −23 and let O ⊂ F be its ring of integers. By explicitly computing cohomology of congruence subgroups of GL2(O), we computationally investigate modularity of elliptic curves over F .
منابع مشابه
A Table of Elliptic Curves over the Cubic Field of Discriminant-23
Let F be the cubic field of discriminant −23 and OF its ring of integers. Let Γ be the arithmetic group GL2(OF ), and for any ideal n ⊂ OF let Γ0(n) be the congruence subgroup of level n. In [17], two of us (PG and DY) computed the cohomology of various Γ0(n), along with the action of the Hecke operators. The goal of [17] was to test the modularity of elliptic curves over F . In the present pap...
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