Cremona's table of elliptic curves

282 = 2 · 3 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 47-	Signs for the Atkin-Lehner involutions
Conductor	282	Conductor
Count	2	Number of curves in isogeny class
Curves	282b1 282b2	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2- 3+ -4 -4  0 -2 -6  6	Hecke eigenvalues for primes less than 20
L	1.6378344218273	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2256n 9024z 846a 7050g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 282b

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
-	+	-4	-4	0	-2	-6	6	-4	4	2	-6	-12	-2	-	-6	-4	2	10	8	-2	-12	12	-18	14

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Quadratic twists for isogeny class 282b

-4	8	-3	5	-7	-11	13	17	-19	-47
2256n	9024z	846a	7050g	13818be	34122h	47658d	81498z	101802f	13254j

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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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