Cremona's table of elliptic curves

1953 = 3² · 7 · 31

Field	Data	Notes
Atkin-Lehner	3- 7- 31+	Signs for the Atkin-Lehner involutions
Conductor	1953	Conductor
Count	4	Number of curves in isogeny class
Curves	1953d1 1953d2 1953d3 1953d4	Curves in isogeny class
deg	1024	Modular degree for the optimal curve
Eigenvalues	1 3-  2 7-  0 -6 -6 -4	Hecke eigenvalues for primes less than 20
L	3.9107448195325	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	31248bp 124992cs 651d 48825s	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1953d

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	-	2	-	0	-6	-6	-4	4	2	+	-10	6	-8	-8	2	4	-6	-4	8	14	4	4	-14	-6

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Quadratic twists for isogeny class 1953d

-4	8	-3	5	-7	-31
31248bp	124992cs	651d	48825s	13671p	60543p

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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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