Cremona's table of elliptic curves

136 = 2³ · 17

Field	Data	Notes
Atkin-Lehner	2- 17-	Signs for the Atkin-Lehner involutions
Conductor	136	Conductor
Count	2	Number of curves in isogeny class
Curves	136a1 136a2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2- -2 -2 -2 -6  2 17-  0	Hecke eigenvalues for primes less than 20
L	0.89989598753536	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	272c 1088f 1224b 3400c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 136a

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

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Quadratic twists for isogeny class 136a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
272c	1088f	1224b	3400c	6664d	16456e	22984e	2312c	49096d	71944d	114376b

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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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