Cremona's table of elliptic curves

1800 = 2³ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5-	Signs for the Atkin-Lehner involutions
Class	1800q	Isogeny class
Conductor	1800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3456000 = 210 · 33 · 53	Discriminant
Eigenvalues	2- 3+ 5- -4  4  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-315,2150]	[a1,a2,a3,a4,a6]
Generators	[-5:60:1]	Generators of the group modulo torsion
j	1000188	j-invariant
L	2.7824559177838	L(r)(E,1)/r!
Ω	2.4918251612036	Real period
R	0.55831684363437	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3600h2 14400t2 1800e2 1800d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1800q2

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

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Quadratic twists for elliptic curve 1800q2

-4	8	-3	5	-7
3600h2	14400t2	1800e2	1800d2	88200fh2

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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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