Cremona's table of elliptic curves

592 = 2⁴ · 37

Field	Data	Notes
Atkin-Lehner	2- 37-	Signs for the Atkin-Lehner involutions
Conductor	592	Conductor
Count	3	Number of curves in isogeny class
Curves	592e1 592e2 592e3	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2- -1  0  1 -3 -4  6 -2	Hecke eigenvalues for primes less than 20
L	1.8129978972182	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	37b 2368j 5328u 14800l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 592e

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	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 592e

-4	8	-3	5	-7	-11	13	37
37b	2368j	5328u	14800l	29008l	71632p	100048i	21904h

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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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