Cremona's table of elliptic curves

54450 = 2 · 3² · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	54450	Conductor
Count	6	Number of curves in isogeny class
Curves	54450bn1 54450bn2 54450bn3 54450bn4 54450bn5 54450bn6	Curves in isogeny class
deg	737280	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0 11- -2 -2  4	Hecke eigenvalues for primes less than 20
L	4.2197376574739	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	18150bw 10890bn 4950bi	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for isogeny class 54450bn

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

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Quadratic twists for isogeny class 54450bn

-3	5	-11
18150bw	10890bn	4950bi

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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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