Cremona's table of elliptic curves

1271 = 31 · 41

Field	Data	Notes
Atkin-Lehner	31- 41-	Signs for the Atkin-Lehner involutions
Conductor	1271	Conductor
Count	2	Number of curves in isogeny class
Curves	1271a1 1271a2	Curves in isogeny class
deg	72	Modular degree for the optimal curve
Eigenvalues	1  0  2  2 -4 -4 -4 -2	Hecke eigenvalues for primes less than 20
L	3.373951025244	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	20336b 81344g 11439f 31775h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1271a

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

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Quadratic twists for isogeny class 1271a

-4	8	-3	5	-7	-31	41
20336b	81344g	11439f	31775h	62279a	39401a	52111c

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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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