Cremona's table of elliptic curves

32 = 2⁵

Field	Data	Notes
Atkin-Lehner	2-	Signs for the Atkin-Lehner involutions
Conductor	32	Conductor
Count	4	Number of curves in isogeny class
Curves	32a1 32a2 32a3 32a4	Curves in isogeny class
deg	1	Modular degree for the optimal curve
Eigenvalues	2-  0 -2  0  0  6  2  0	Hecke eigenvalues for primes less than 20
L	0.65551438857303	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	32a 64a 288d 800a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 32a

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	0	6	2	0	0	-10	0	-2	10	0	0	14	0	-10	0	0	-6	0	0	10	18

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Quadratic twists for isogeny class 32a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61
32a	64a	288d	800a	1568g	3872b	5408a	9248e	11552h	16928e	26912a	30752f	43808a	53792e	59168e	70688c	89888a	111392b	119072c

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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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