Cremona's table of elliptic curves

1001 = 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	7+ 11- 13+	Signs for the Atkin-Lehner involutions
Conductor	1001	Conductor
Count	4	Number of curves in isogeny class
Curves	1001b1 1001b2 1001b3 1001b4	Curves in isogeny class
deg	152	Modular degree for the optimal curve
Eigenvalues	-1  0 -2 7+ 11- 13+ -2 -4	Hecke eigenvalues for primes less than 20
L	0.47843048872809	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	16016j 64064a 9009c 25025k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1001b

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	0	6	-4	6	6	12	4	-10	0	10	12	0	14	0	-4	-14	-14

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Quadratic twists for isogeny class 1001b

-4	8	-3	5	-7	-11	13
16016j	64064a	9009c	25025k	7007c	11011p	13013i

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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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