Cremona's table of elliptic curves

286 = 2 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 11- 13-	Signs for the Atkin-Lehner involutions
Conductor	286	Conductor
Count	2	Number of curves in isogeny class
Curves	286d1 286d2	Curves in isogeny class
deg	120	Modular degree for the optimal curve
Eigenvalues	2- -1  1  3 11- 13-  3  0	Hecke eigenvalues for primes less than 20
L	1.8464793390387	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2288e 9152a 2574h 7150f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 286d

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
-	-1	1	3	-	-	3	0	4	0	-8	-7	-8	-1	-7	-6	10	-8	8	7	-16	10	4	0	8

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Quadratic twists for isogeny class 286d

-4	8	-3	5	-7	-11	13	17	-19
2288e	9152a	2574h	7150f	14014h	3146c	3718a	82654j	103246g

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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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