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	18480cc1 18480cc2 18480cc3 18480cc4 18480cc5 18480cc6 18480cc7 18480cc8	Curves in isogeny class
deg	55296	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5- 7+ 11-  2  6  4	Hecke eigenvalues for primes less than 20
L	2.5569932375292	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2310l 73920gg 55440cq 92400hi	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 18480cc

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	0	2	4	0	2	-8	-12	6	2

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Quadratic twists for isogeny class 18480cc

-4	8	-3	5	-7
2310l	73920gg	55440cq	92400hi	129360go

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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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