Cremona's table of elliptic curves

96 = 2⁵ · 3

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Conductor	96	Conductor
Count	4	Number of curves in isogeny class
Curves	96b1 96b2 96b3 96b4	Curves in isogeny class
deg	4	Modular degree for the optimal curve
Eigenvalues	2- 3+  2  4 -4 -2 -6  4	Hecke eigenvalues for primes less than 20
L	1.0010773804561	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	96a 192b 288c 2400m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 96b

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	4	-4	-2	-6	4	0	2	-4	-2	2	-4	-8	10	4	6	-4	16	-6	-4	-12	10	-14

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Quadratic twists for isogeny class 96b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
96a	192b	288c	2400m	4704bf	11616e	16224e	27744bb	34656r	50784w	80736c	92256n

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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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