Cremona's table of elliptic curves

Conductor 9996

9996 = 22 · 3 · 72 · 17



Isogeny classes of curves of conductor 9996 [newforms of level 9996]

Class r Atkin-Lehner Eigenvalues
9996a (1 curve) 0 2- 3+ 7+ 17+ 2- 3+  1 7+  2  5 17+  6
9996b (1 curve) 1 2- 3+ 7+ 17- 2- 3+  3 7+  2 -3 17- -6
9996c (1 curve) 1 2- 3+ 7- 17+ 2- 3+ -1 7-  5  5 17+ -1
9996d (2 curves) 1 2- 3+ 7- 17+ 2- 3+  2 7- -2 -4 17+  4
9996e (2 curves) 1 2- 3+ 7- 17+ 2- 3+  3 7- -3  1 17+ -5
9996f (2 curves) 0 2- 3+ 7- 17- 2- 3+  0 7-  0 -5 17-  1
9996g (2 curves) 0 2- 3+ 7- 17- 2- 3+ -2 7-  0  2 17- -6
9996h (2 curves) 0 2- 3+ 7- 17- 2- 3+  3 7- -6 -5 17- -2
9996i (2 curves) 1 2- 3- 7+ 17+ 2- 3-  0 7+  0  5 17+ -1
9996j (2 curves) 1 2- 3- 7+ 17+ 2- 3- -3 7+ -6  5 17+  2
9996k (1 curve) 0 2- 3- 7- 17+ 2- 3- -3 7-  2  3 17+  6
9996l (1 curve) 1 2- 3- 7- 17- 2- 3-  1 7-  3 -3 17- -1
9996m (1 curve) 1 2- 3- 7- 17- 2- 3- -1 7- -1  7 17- -3
9996n (1 curve) 1 2- 3- 7- 17- 2- 3- -1 7-  2 -5 17- -6
9996o (2 curves) 1 2- 3- 7- 17- 2- 3- -2 7-  0 -6 17-  2
9996p (2 curves) 1 2- 3- 7- 17- 2- 3- -2 7- -2  4 17- -4
9996q (1 curve) 1 2- 3- 7- 17- 2- 3-  3 7- -5 -1 17- -3


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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