Cremona's table of elliptic curves

7728 = 2⁴ · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 23+	Signs for the Atkin-Lehner involutions
Conductor	7728	Conductor
Count	4	Number of curves in isogeny class
Curves	7728h1 7728h2 7728h3 7728h4	Curves in isogeny class
deg	115200	Modular degree for the optimal curve
Eigenvalues	2- 3+  0 7+ -6  2 -6 -2	Hecke eigenvalues for primes less than 20
L	0.52368442089646	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	966f 30912bv 23184bn 54096cq	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 7728h

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

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Quadratic twists for isogeny class 7728h

-4	8	-3	-7
966f	30912bv	23184bn	54096cq

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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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