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	4	Number of curves in isogeny class
Curves	726h1 726h2 726h3 726h4	Curves in isogeny class
deg	480	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 -2 11-  4  6  4	Hecke eigenvalues for primes less than 20
L	2.8285144256968	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5808p 23232i 2178c 18150i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 726h

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	-2	-	4	6	4	6	-6	8	-10	-6	-8	-6	0	0	-8	-4	6	-2	-14	12	-6	14

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Quadratic twists for isogeny class 726h

-4	8	-3	5	-7	-11	13
5808p	23232i	2178c	18150i	35574by	66a	122694bd

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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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