Cremona's table of elliptic curves

369 = 3² · 41

Field	Data	Notes
Atkin-Lehner	3- 41+	Signs for the Atkin-Lehner involutions
Conductor	369	Conductor
Count	2	Number of curves in isogeny class
Curves	369b1 369b2	Curves in isogeny class
deg	160	Modular degree for the optimal curve
Eigenvalues	2 3-  4 -2  3 -6 -3  0	Hecke eigenvalues for primes less than 20
L	3.060436620844	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5904o 23616m 123a 9225t	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 369b

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	-2	3	-6	-3	0	6	-5	7	-7	+	-1	-3	6	0	-3	-2	3	-11	10	16	10	-12

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Quadratic twists for isogeny class 369b

-4	8	-3	5	-7	-11	13	17	41
5904o	23616m	123a	9225t	18081n	44649q	62361j	106641i	15129e

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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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