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	1365c1 1365c2 1365c3 1365c4	Curves in isogeny class
deg	256	Modular degree for the optimal curve
Eigenvalues	1 3- 5+ 7+  4 13+  6  8	Hecke eigenvalues for primes less than 20
L	2.3489617488133	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21840bi 87360bb 4095k 6825d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1365c

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	-	+	+	4	+	6	8	-4	-2	-4	10	-2	8	8	6	8	-10	-12	-8	6	8	-4	6	-2

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Quadratic twists for isogeny class 1365c

-4	8	-3	5	-7	13
21840bi	87360bb	4095k	6825d	9555k	17745w

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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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