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	18480bm1 18480bm2 18480bm3 18480bm4 18480bm5 18480bm6 18480bm7 18480bm8	Curves in isogeny class
deg	82944	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+ 7+ 11-  2  6  4	Hecke eigenvalues for primes less than 20
L	4.0790564768487	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2310t 73920hf 55440dz 92400hj	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 18480bm

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

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Quadratic twists for isogeny class 18480bm

-4	8	-3	5	-7
2310t	73920hf	55440dz	92400hj	129360ia

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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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