Cremona's table of elliptic curves

69696 = 2⁶ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+	Signs for the Atkin-Lehner involutions
Conductor	69696	Conductor
Count	2	Number of curves in isogeny class
Curves	69696eb1 69696eb2	Curves in isogeny class
deg	12288	Modular degree for the optimal curve
Eigenvalues	2- 3+ -4  0 11+ -4  2  0	Hecke eigenvalues for primes less than 20
L	8.2339213692282	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	69696eb 34848bg 69696dz 69696ea	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 69696eb

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
-	+	-4	0	+	-4	2	0	0	-10	0	2	-10	0	0	-4	0	-12	0	0	-16	0	0	-16	18

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Quadratic twists for isogeny class 69696eb

-4	8	-3	-11
69696eb	34848bg	69696dz	69696ea

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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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