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	6	Number of curves in isogeny class
Curves	18480bc1 18480bc2 18480bc3 18480bc4 18480bc5 18480bc6	Curves in isogeny class
deg	294912	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7+ 11-  6  2  4	Hecke eigenvalues for primes less than 20
L	3.8668549703311	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	9240w 73920eh 55440i 92400be	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 18480bc

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

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Quadratic twists for isogeny class 18480bc

-4	8	-3	5	-7
9240w	73920eh	55440i	92400be	129360bf

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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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