Cremona's table of elliptic curves

1369 = 37²

Field	Data	Notes
Atkin-Lehner	37+	Signs for the Atkin-Lehner involutions
Conductor	1369	Conductor
Count	2	Number of curves in isogeny class
Curves	1369b1 1369b2	Curves in isogeny class
deg	1332	Modular degree for the optimal curve
Eigenvalues	1  0  1  2 -2 -2  3 -6	Hecke eigenvalues for primes less than 20
L	3.3668281888319	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	21904e 87616b 12321e 34225e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1369b

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	2	-2	-2	3	-6	-4	9	-10	+	-9	2	6	-2	-4	1	-10	6	-10	10	-12	7	7

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Quadratic twists for isogeny class 1369b

-4	8	-3	5	-7	37
21904e	87616b	12321e	34225e	67081b	1369c

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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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