Cremona's table of elliptic curves

58 = 2 · 29

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Conductor	58	Conductor
Count	2	Number of curves in isogeny class
Curves	58b1 58b2	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2- -1  1 -2 -3 -1  8  0	Hecke eigenvalues for primes less than 20
L	1.0332075093651	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	464c 1856a 522f 1450a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 58b

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	1	-2	-3	-1	8	0	4	+	-3	8	2	-11	13	-11	0	-8	-12	2	4	15	4	-10	-2

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Quadratic twists for isogeny class 58b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47
464c	1856a	522f	1450a	2842e	7018b	9802a	16762i	20938e	30682g	1682a	55738v	79402d	97498k	107242a	128122j

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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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