Cremona's table of elliptic curves

37 = Prime conductor

Field	Data	Notes
Atkin-Lehner	37-	Signs for the Atkin-Lehner involutions
Conductor	37	Conductor
Count	3	Number of curves in isogeny class
Curves	37b1 37b2 37b3	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	0  1  0 -1  3 -4  6  2	Hecke eigenvalues for primes less than 20
L	0.72568106193615	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	592e 2368c 333a 925b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 37b

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
0	1	0	-1	3	-4	6	2	6	-6	-4	-	-9	8	3	-3	12	8	-4	-15	11	-10	9	6	8

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Quadratic twists for isogeny class 37b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59
592e	2368c	333a	925b	1813c	4477b	6253a	10693a	13357a	19573a	31117a	35557a	1369a	62197c	68413a	81733c	103933b	128797a

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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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