Cremona's table of elliptic curves

900 = 2² · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	900g	Isogeny class
Conductor	900	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	205031250000 = 24 · 38 · 59	Discriminant
Eigenvalues	2- 3- 5-  4  4  0 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3000,-59375]	[a1,a2,a3,a4,a6]
j	131072/9	j-invariant
L	1.9436274066757	L(r)(E,1)/r!
Ω	0.64787580222525	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3600br1 14400cn1 300c1 900h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 900g1

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

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Quadratic twists for elliptic curve 900g1

-4	8	-3	5	-7	-11
3600br1	14400cn1	300c1	900h1	44100dk1	108900dx1

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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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