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	8	Number of curves in isogeny class
Curves	3120r1 3120r2 3120r3 3120r4 3120r5 3120r6 3120r7 3120r8	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5-  0 -4 13-  2  4	Hecke eigenvalues for primes less than 20
L	1.4741163178477	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	195a 12480cj 9360bm 15600bz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3120r

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	-	2	4	-8	-2	8	6	-6	4	8	6	12	-2	4	0	-6	-16	4	10	18

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Quadratic twists for isogeny class 3120r

-4	8	-3	5	13
195a	12480cj	9360bm	15600bz	40560bg

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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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