Cremona's table of elliptic curves

1302 = 2 · 3 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 31-	Signs for the Atkin-Lehner involutions
Conductor	1302	Conductor
Count	4	Number of curves in isogeny class
Curves	1302h1 1302h2 1302h3 1302h4	Curves in isogeny class
deg	576	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0 7-  6  2  6 -4	Hecke eigenvalues for primes less than 20
L	1.7708010182517	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	10416p 41664z 3906u 32550bu	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1302h

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
+	-	0	-	6	2	6	-4	-6	0	-	2	0	-4	6	12	6	-10	-4	12	2	8	0	-18	-10

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Quadratic twists for isogeny class 1302h

-4	8	-3	5	-7	-31
10416p	41664z	3906u	32550bu	9114a	40362d

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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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