Cremona's table of elliptic curves

Conductor 17661

17661 = 3 · 7 · 29²

Isogeny classes of curves of conductor 17661 [newforms of level 17661]

Class

r

Atkin-Lehner

Eigenvalues

17661a (6 curves)

1

³+ ⁷+ ²⁹+

1 ³+ -2 ⁷+ -4 -2 6 -4

17661b (1 curve)

1

³+ ⁷- ²⁹-

1 ³+ 2 ⁷- -1 4 1 -1

17661c (1 curve)

1

³+ ⁷- ²⁹-

1 ³+ -3 ⁷- -6 -6 1 -6

17661d (1 curve)

1

³+ ⁷- ²⁹-

-1 ³+ 1 ⁷- -2 -2 5 2

17661e (1 curve)

1

³- ⁷- ²⁹+

1 ³- 1 ⁷- 2 -2 -5 -2

17661f (6 curves)

1

³- ⁷- ²⁹+

1 ³- -2 ⁷- -4 -2 -2 4

17661g (2 curves)

1

³- ⁷- ²⁹+

-1 ³- 0 ⁷- 0 -6 2 0

17661h (1 curve)

1

³- ⁷- ²⁹+

-1 ³- 2 ⁷- 1 4 -1 1

17661i (1 curve)

1

³- ⁷- ²⁹+

-1 ³- -3 ⁷- 6 -6 -1 6

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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