Cremona's table of elliptic curves

3120 = 2⁴ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13-	Signs for the Atkin-Lehner involutions
Conductor	3120	Conductor
Count	6	Number of curves in isogeny class
Curves	3120z1 3120z2 3120z3 3120z4 3120z5 3120z6	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2- 3- 5-  0 -4 13- -6 -4	Hecke eigenvalues for primes less than 20
L	4.0768391111029	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	390b 12480bl 9360bn 15600z	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3120z

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
-	-	-	0	-4	-	-6	-4	-8	6	8	-10	-6	-4	0	-10	-4	-2	12	-16	2	16	12	10	-6

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Quadratic twists for isogeny class 3120z

-4	8	-3	5	13
390b	12480bl	9360bn	15600z	40560bz

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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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