Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Conductor	18480	Conductor
Count	8	Number of curves in isogeny class
Curves	18480bn1 18480bn2 18480bn3 18480bn4 18480bn5 18480bn6 18480bn7 18480bn8	Curves in isogeny class
deg	331776	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7+ 11-  2 -6  4	Hecke eigenvalues for primes less than 20
L	3.7021889826128	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2310g 73920hg 55440dx 92400hf	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 18480bn

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	-6	4	0	-6	4	2	-6	4	0	-6	-12	14	16	0	2	4	0	-6	-10

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Quadratic twists for isogeny class 18480bn

-4	8	-3	5	-7
2310g	73920hg	55440dx	92400hf	129360hy

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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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