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	90b1 90b2 90b3 90b4	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	1.3236980861804	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	720f 2880g 90a 450f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 90b

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 90b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
720f	2880g	90a	450f	4410z	10890c	15210d	26010bd	32490b	47610bm	75690a	86490bx	123210m

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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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