Cremona's table of elliptic curves

192 = 2⁶ · 3

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Conductor	192	Conductor
Count	4	Number of curves in isogeny class
Curves	192b1 192b2 192b3 192b4	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2  4  4  2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.415737208426	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	192a 96b 576b 4800h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 192b

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 192b

-4	8	-3	5	-7	-11	13	17	-19	-23
192a	96b	576b	4800h	9408k	23232ch	32448bg	55488j	69312u	101568be

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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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