William Stein's table of weight 2 newforms

Level 1564

1564 = 22 · 17 · 23

Galois conjugacy classes of newforms of level 1564 [elliptic curves of conductor 1564]

Class L Sign Degree Atkin-Lehner Traces of eigenvalues
1564A + 1 2- 17+ 23+   0  -3   0   2   4  -1  -1   2
1564B + 1 2- 17- 23-   0   3   2   0   0   3   1  -2
1564D + 6 2- 17+ 23+   0   6   2   2   8  -2  -6  -4
1564C + 6 2- 17- 23-   0   0   2   2  10   2   6   8
1564E - 7 2- 17+ 23-   0  -3  -4   0 -14   1  -7  -8
1564F - 7 2- 17- 23+   0  -3  -2  -2  -8  -7   7  -8

Data from The Modular Forms Database by William Stein.
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