Cremona's table of elliptic curves

258 = 2 · 3 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 43+	Signs for the Atkin-Lehner involutions
Conductor	258	Conductor
Count	4	Number of curves in isogeny class
Curves	258d1 258d2 258d3 258d4	Curves in isogeny class
deg	60	Modular degree for the optimal curve
Eigenvalues	2- 3+ -2  4  4  6 -6 -4	Hecke eigenvalues for primes less than 20
L	1.6628412601244	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2064n 8256w 774b 6450o	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 258d

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
-	+	-2	4	4	6	-6	-4	-4	6	-8	2	2	+	4	-6	-12	10	12	-8	-6	-16	-12	10	2

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Quadratic twists for isogeny class 258d

-4	8	-3	5	-7	-11	13	17	-19	-43
2064n	8256w	774b	6450o	12642bi	31218b	43602b	74562y	93138q	11094j

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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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