Cremona's table of elliptic curves

9768 = 2³ · 3 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 11- 37-	Signs for the Atkin-Lehner involutions
Conductor	9768	Conductor
Count	4	Number of curves in isogeny class
Curves	9768o1 9768o2 9768o3 9768o4	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	2- 3+  2  0 11- -2  6  4	Hecke eigenvalues for primes less than 20
L	2.1712151171377	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	19536i 78144z 29304c 107448d	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 9768o

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

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Quadratic twists for isogeny class 9768o

-4	8	-3	-11
19536i	78144z	29304c	107448d

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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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