Cremona's table of elliptic curves

759 = 3 · 11 · 23

Field	Data	Notes
Atkin-Lehner	3- 11- 23+	Signs for the Atkin-Lehner involutions
Conductor	759	Conductor
Count	6	Number of curves in isogeny class
Curves	759b1 759b2 759b3 759b4 759b5 759b6	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	-1 3- -2  0 11- -2  2 -4	Hecke eigenvalues for primes less than 20
L	1.6306147759645	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	12144w 48576c 2277b 18975e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 759b

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	+	-2	0	-10	-6	-12	0	14	-4	6	-4	-8	-6	8	4	-14	2

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Quadratic twists for isogeny class 759b

-4	8	-3	5	-7	-11	13	-23
12144w	48576c	2277b	18975e	37191b	8349c	128271p	17457c

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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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