Cremona's table of elliptic curves

7581 = 3 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	3+ 7+ 19-	Signs for the Atkin-Lehner involutions
Conductor	7581	Conductor
Count	6	Number of curves in isogeny class
Curves	7581b1 7581b2 7581b3 7581b4 7581b5 7581b6	Curves in isogeny class
deg	3456	Modular degree for the optimal curve
Eigenvalues	1 3+ -2 7+  4  2 -6 19-	Hecke eigenvalues for primes less than 20
L	0.87682224594065	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	121296dk 22743n 53067q 21a	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for isogeny class 7581b

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	+	4	2	-6	-	0	2	0	-6	-2	-4	0	-6	-12	-2	-4	0	-6	16	-12	14	-18

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Quadratic twists for isogeny class 7581b

-4	-3	-7	-19
121296dk	22743n	53067q	21a

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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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