Computations with Modular Forms by Gebhard Böckle & Gabor Wiese

Author:Gebhard Böckle & Gabor Wiese
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Example 7.6

U L/F (3), , , weight (0,0,0):

In this case, the class number of the principal genus is 2, with the classes represented by the standard lattice and its 29-neighbour Λ 2 with basis

(This calculation took 1.85 seconds.)

As above, , and the form with system of Hecke eigenvalues is a lift from U(1)×U(1)×U(1). Also, observe that

Table 5Timings: computation of mod for with

29

43

71

113

127

197

211

239

281

871

1893

5113

12883

16257

39007

44733

57361

79243

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