Cremona's table of elliptic curves

156 = 2² · 3 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Conductor	156	Conductor
Count	4	Number of curves in isogeny class
Curves	156b1 156b2 156b3 156b4	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	2- 3-  0  2  0 13- -6  2	Hecke eigenvalues for primes less than 20
L	1.3761495936397	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	624g 2496a 468d 3900c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 156b

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	0	2	0	-	-6	2	0	-6	2	2	-12	-4	0	6	12	2	-10	12	14	8	12	0	-10

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Quadratic twists for isogeny class 156b

-4	8	-3	5	-7	-11	13	17	-19	-23
624g	2496a	468d	3900c	7644a	18876h	2028d	45084g	56316d	82524j

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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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