I have seen in a few places in the literature that given a weight two modular form, we can find an abelian variety that have the same $L$-function. But I haven't been able to find a precise statement on this correspondance. So, my question is, given a modular form $f$, what conditions do we need if we want to associate it to an abelian variety? Where can I find a proof in the literature?
2026-03-25 09:33:59.1774431239
Which modular forms correspond to abelian varieties?
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