Computational Evidence for the Bloch-kato Conjecture for Elliptic Modular Forms of Square-free Level
نویسنده
چکیده
In this short note we provide computational evidence for the main result found in On the Bloch-Kato conjecture for elliptic modular forms of square-free level.
منابع مشابه
On the Bloch-kato Conjecture for Elliptic Modular Forms of Square-free Level
Let κ ≥ 6 be an even integer, M an odd square-free integer, and f ∈ S2κ−2(Γ0(M)) a newform. We prove that under some reasonable assumptions that half of the λ-part of the Bloch-Kato conjecture for the near central critical value L(κ, f) is true. We do this by bounding the l-valuation of the order of the appropriate Bloch-Kato Selmer group below by the l-valuation of algebraic part of L(κ, f). W...
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