Cremona's table of elliptic curves

1763 = 41 · 43

Field	Data	Notes
Atkin-Lehner	41+ 43+	Signs for the Atkin-Lehner involutions
Conductor	1763	Conductor
Count	1	Number of curves in isogeny class
Curves	1763a1	Curves in isogeny class
deg	52	Modular degree for the optimal curve
Eigenvalues	0  1 -2  0  2  6  4 -5	Hecke eigenvalues for primes less than 20
L	2.6314123250307	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	28208g 112832h 15867d 44075c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1763a

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	1	-2	0	2	6	4	-5	-3	-3	0	-2	+	+	2	-10	-9	-14	2	5	-2	-2	-4	-7	14

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Quadratic twists for isogeny class 1763a

-4	8	-3	5	-7	41	-43
28208g	112832h	15867d	44075c	86387c	72283a	75809e

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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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