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	6	Number of curves in isogeny class
Curves	192c1 192c2 192c3 192c4 192c5 192c6	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0 -4  2  2  4	Hecke eigenvalues for primes less than 20
L	1.5248868380819	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	192d 24a 576d 4800c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 192c

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	0	-4	2	2	4	-8	-6	8	-6	-6	-4	0	2	-4	2	4	8	10	-8	4	-6	2

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Quadratic twists for isogeny class 192c

-4	8	-3	5	-7	-11	13	17	-19	-23
192d	24a	576d	4800c	9408q	23232bw	32448bh	55488k	69312p	101568bg

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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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