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	1302o1 1302o2 1302o3 1302o4	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+  0  2  6  4	Hecke eigenvalues for primes less than 20
L	2.8559851079466	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	10416z 41664j 3906g 32550m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1302o

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	+	0	2	6	4	4	6	-	-2	2	0	8	-10	4	-14	-4	0	6	-12	-4	-2	10

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Quadratic twists for isogeny class 1302o

-4	8	-3	5	-7	-31
10416z	41664j	3906g	32550m	9114s	40362w

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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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