Cremona's table of elliptic curves

51 = 3 · 17

Field	Data	Notes
Atkin-Lehner	3- 17+	Signs for the Atkin-Lehner involutions
Conductor	51	Conductor
Count	2	Number of curves in isogeny class
Curves	51a1 51a2	Curves in isogeny class
deg	2	Modular degree for the optimal curve
Eigenvalues	0 3-  3 -4 -3 -1 17+ -1	Hecke eigenvalues for primes less than 20
L	0.86005901612714	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	816f 3264e 153b 1275a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 51a

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	-	3	-4	-3	-1	+	-1	9	6	2	-4	-3	-7	-6	-6	6	8	-4	12	2	-10	-6	0	-16

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Quadratic twists for isogeny class 51a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47
816f	3264e	153b	1275a	2499d	6171g	8619i	867a	18411c	26979p	42891e	49011a	69819e	85731b	94299a	112659h

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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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