Cremona's table of elliptic curves

726 = 2 · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11+	Signs for the Atkin-Lehner involutions
Conductor	726	Conductor
Count	2	Number of curves in isogeny class
Curves	726a1 726a2	Curves in isogeny class
deg	144	Modular degree for the optimal curve
Eigenvalues	2+ 3+  0  0 11+ -6  6 -6	Hecke eigenvalues for primes less than 20
L	1.4899240841974	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	5808z 23232bf 2178h 18150co	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 726a

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

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Quadratic twists for isogeny class 726a

-4	8	-3	5	-7	-11	13
5808z	23232bf	2178h	18150co	35574v	726f	122694br

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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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