Hecke eigenforms with rational coefficients and complex multiplication
Hecke eigenforms with rational coefficients and complex multiplication
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具有有理系数和复数乘法的 Hecke 特征形
DOI：
10.1090/s0002-9947-08-04560-1
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发表时间：
2005
影响因子：
1.3
通讯作者：
M. Schuett
中科院分区：
文献类型：
--
作者：
M. Schuett
我们证明，假设GRH，只有100多个新形式的合理的傅立叶系数和复杂的乘法固定重量扭曲。我们为权3和4生成这样的形式的表，其中这个有限性无条件地成立。我们还评论几何实现。
We prove that, assuming GRH, there are only finitely many newforms with rational Fourier coefficients and complex multiplication for fixed weight up to twisting. We produce tables of such forms for weights 3 and 4, where this finiteness holds unconditionally. We also comment on geometric realizations.