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	3192j1 3192j2 3192j3 3192j4	Curves in isogeny class
deg	1280	Modular degree for the optimal curve
Eigenvalues	2- 3+  2 7+ -4 -6  2 19+	Hecke eigenvalues for primes less than 20
L	1.2820270828047	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6384p 25536bj 9576g 79800k	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3192j

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

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Quadratic twists for isogeny class 3192j

-4	8	-3	5	-7	-19
6384p	25536bj	9576g	79800k	22344bj	60648o

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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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