Cremona's table of elliptic curves

90 = 2 · 3² · 5

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5-	Signs for the Atkin-Lehner involutions
Conductor	90	Conductor
Count	4	Number of curves in isogeny class
Curves	90a1 90a2 90a3 90a4	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  2  6 -4 -6 -4	Hecke eigenvalues for primes less than 20
L	0.81997845705798	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	720g 2880c 90b 450e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 90a

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

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Quadratic twists for isogeny class 90a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720g	2880c	90b	450e	4410c	10890bi	15210z	26010c	32490bf	47610f	75690z	86490j	123210cc

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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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