Cremona's table of elliptic curves

600 = 2³ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+	Signs for the Atkin-Lehner involutions
Class	600a	Isogeny class
Conductor	600	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	90000000000 = 210 · 32 · 510	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4 -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5008,-133988]	[a1,a2,a3,a4,a6]
Generators	[-39:22:1]	Generators of the group modulo torsion
j	868327204/5625	j-invariant
L	1.8182269342928	L(r)(E,1)/r!
Ω	0.56773510051461	Real period
R	3.2025973603618	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1200e3 4800r3 1800r3 120a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 600a3

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
+	+	+	0	-4	-6	6	-4	0	-2	-8	2	-6	-12	-8	-6	12	14	-4	8	6	-8	12	10	-2

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Quadratic twists for elliptic curve 600a3

-4	8	-3	5	-7	-11	13
1200e3	4800r3	1800r3	120a3	29400bt4	72600cl4	101400cb4

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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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