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	1800p	Isogeny class
Conductor	1800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	39366000000000 = 210 · 39 · 59	Discriminant
Eigenvalues	2- 3+ 5-  4 -4 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-70875,-7256250]	[a1,a2,a3,a4,a6]
Generators	[379:4508:1]	Generators of the group modulo torsion
j	1000188	j-invariant
L	3.0655878877318	L(r)(E,1)/r!
Ω	0.29261888826292	Real period
R	5.2381920831052	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	3600i2 14400q2 1800d2 1800e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1800p2

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 1800p2

-4	8	-3	5	-7
3600i2	14400q2	1800d2	1800e2	88200fk2

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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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