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	6	Number of curves in isogeny class
Curves	7728r1 7728r2 7728r3 7728r4 7728r5 7728r6	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2- 3- -2 7+  4 -2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.6553165896498	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	966g 30912bk 23184bi 54096bw	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 7728r

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

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Quadratic twists for isogeny class 7728r

-4	8	-3	-7
966g	30912bk	23184bi	54096bw

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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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