Cremona's table of elliptic curves

728 = 2³ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 7+ 13-	Signs for the Atkin-Lehner involutions
Conductor	728	Conductor
Count	1	Number of curves in isogeny class
Curves	728c1	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	2-  0 -1 7+  2 13-  0 -7	Hecke eigenvalues for primes less than 20
L	2.0890611620256	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1456d 5824a 6552g 18200d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 728c

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	-1	+	2	-	0	-7	-3	-9	5	-8	-10	5	7	3	0	6	-10	4	-11	-11	11	-3	-15

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Quadratic twists for isogeny class 728c

-4	8	-3	5	-7	-11	13
1456d	5824a	6552g	18200d	5096h	88088j	9464c

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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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