Cremona's table of elliptic curves

1365 = 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	3+ 5+ 7+ 13-	Signs for the Atkin-Lehner involutions
Conductor	1365	Conductor
Count	4	Number of curves in isogeny class
Curves	1365a1 1365a2 1365a3 1365a4	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	1 3+ 5+ 7+  0 13-  2 -4	Hecke eigenvalues for primes less than 20
L	1.2356741351268	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21840by 87360ct 4095l 6825j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1365a

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	-	2	-4	0	6	8	2	-10	8	12	-6	4	6	12	12	-6	-8	8	-10	10

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Quadratic twists for isogeny class 1365a

-4	8	-3	5	-7	13
21840by	87360ct	4095l	6825j	9555u	17745i

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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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