Cremona's table of elliptic curves

3192 = 2³ · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 19-	Signs for the Atkin-Lehner involutions
Conductor	3192	Conductor
Count	4	Number of curves in isogeny class
Curves	3192c1 3192c2 3192c3 3192c4	Curves in isogeny class
deg	6144	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2 7+ -4  2 -6 19-	Hecke eigenvalues for primes less than 20
L	0.61750109449595	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6384n 25536bb 9576v 79800bu	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3192c

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

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Quadratic twists for isogeny class 3192c

-4	8	-3	5	-7	-19
6384n	25536bb	9576v	79800bu	22344t	60648bk

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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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