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	900c	Isogeny class
Conductor	900	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-4320000 = -1 · 28 · 33 · 54	Discriminant
Eigenvalues	2- 3+ 5- -1  0 -7  0 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,100]	[a1,a2,a3,a4,a6]
Generators	[-4:6:1]	Generators of the group modulo torsion
j	0	j-invariant
L	2.3172745410172	L(r)(E,1)/r!
Ω	1.9525058408311	Real period
R	0.59341039923109	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	3600bd1 14400n1 900c2 900a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 900c1

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
-	+	-	-1	0	-7	0	-7	0	0	11	-10	0	-13	0	0	0	-1	11	0	-10	-4	0	0	-19

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Quadratic twists for elliptic curve 900c1

-4	8	-3	5	-7	-11
3600bd1	14400n1	900c2	900a1	44100y1	108900v1

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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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