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	192d1 192d2 192d3 192d4 192d5 192d6	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	1.1920055072756	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	192c 48a 576i 4800cb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 192d

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 192d

-4	8	-3	5	-7	-11	13	17	-19	-23
192c	48a	576i	4800cb	9408cz	23232cz	32448ci	55488du	69312dl	101568cm

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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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