3 ms·
No, they mean elliptic curves defined over number fields that don't embed into the reals.
by leanuser57 7y ago
No, they mean elliptic curves defined over number fields that don't embed into the reals.
- QuesnayJr 7y agoBut they don't mean the general case, do they? If I look at the abstract for the 10-author paper, they talk about CM fields.
- williamstein 7y agoYou're right -- they do not and are instead restricting to certain specific classes of number fields. Proving some notion of modularity of all elliptic curves over all number fields is surely completely out of reach at present.