Cremona's table of elliptic curves

1961 = 37 · 53

Field	Data	Notes
Atkin-Lehner	37- 53-	Signs for the Atkin-Lehner involutions
Conductor	1961	Conductor
Count	4	Number of curves in isogeny class
Curves	1961a1 1961a2 1961a3 1961a4	Curves in isogeny class
deg	114	Modular degree for the optimal curve
Eigenvalues	1  0  2  0  4 -2 -6 -4	Hecke eigenvalues for primes less than 20
L	3.8498329894203	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	31376c 125504a 17649c 49025a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1961a

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
1	0	2	0	4	-2	-6	-4	0	-2	0	-	-6	4	-8	-	12	-6	-8	12	-6	-8	-16	-14	10

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Quadratic twists for isogeny class 1961a

-4	8	-3	5	-7	37	53
31376c	125504a	17649c	49025a	96089a	72557d	103933c

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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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