Cremona's table of elliptic curves

3630 = 2 · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	3630	Conductor
Count	4	Number of curves in isogeny class
Curves	3630n1 3630n2 3630n3 3630n4	Curves in isogeny class
deg	19200	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5+  0 11- -2  2 -8	Hecke eigenvalues for primes less than 20
L	4.1833102025015	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	29040cu 116160dz 10890v 18150y	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3630n

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	-	-2	2	-8	4	-2	8	-2	-6	-8	-4	2	4	6	-12	-12	-2	0	-4	-6	-14

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Quadratic twists for isogeny class 3630n

-4	8	-3	5	-11
29040cu	116160dz	10890v	18150y	330a

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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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