William Stein's table of weight 2 newforms

Level 689

689 = 13 · 53

Galois conjugacy classes of newforms of level 689 [elliptic curves of conductor 689]

Class L Sign Degree Atkin-Lehner Traces of eigenvalues
689A - 1 13+ 53+  -1  -2  -2   2   2  -1  -2   4
689B - 2 13+ 53+  -2   1   1  -1  -1  -2   1  -2
689C - 2 13+ 53+   0  -1  -1  -3  -1  -2   1  -6
689D - 3 13+ 53+   3  -1   1  -3  -5  -3  -5  -2
689E - 9 13- 53-  -3  -3  -3 -13  -3   9   5 -22
689G + 18 13+ 53-   2   5   1   3   3 -18  -1   0
689F + 18 13- 53+   2   1   1  19   9  18  -1  24

Data from The Modular Forms Database by William Stein.
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