Cremona's table of elliptic curves

57 = 3 · 19

Field	Data	Notes
Atkin-Lehner	3- 19+	Signs for the Atkin-Lehner involutions
Conductor	57	Conductor
Count	2	Number of curves in isogeny class
Curves	57c1 57c2	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	-2 3-  1  3 -3 -6  3 19+	Hecke eigenvalues for primes less than 20
L	0.58650959165657	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	912f 3648f 171c 1425b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 57c

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	-	1	3	-3	-6	3	+	4	-10	2	8	-8	-1	3	-6	0	7	8	12	-11	0	4	10	-2

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Quadratic twists for isogeny class 57c

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47
912f	3648f	171c	1425b	2793f	6897g	9633p	16473c	1083c	30153i	47937c	54777b	78033c	95817e	105393k	125913h

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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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