Cremona's table of elliptic curves

1947 = 3 · 11 · 59

Field	Data	Notes
Atkin-Lehner	3+ 11- 59+	Signs for the Atkin-Lehner involutions
Conductor	1947	Conductor
Count	4	Number of curves in isogeny class
Curves	1947c1 1947c2 1947c3 1947c4	Curves in isogeny class
deg	264	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2  0 11-  2 -2 -4	Hecke eigenvalues for primes less than 20
L	0.47294230859863	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	31152z 124608bg 5841f 48675q	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1947c

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	+	-2	0	-	2	-2	-4	0	2	-8	6	6	-8	0	-10	+	10	-4	16	6	-8	12	10	10

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Quadratic twists for isogeny class 1947c

-4	8	-3	5	-7	-11	-59
31152z	124608bg	5841f	48675q	95403l	21417a	114873b

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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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