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
deg	192	Modular degree for the optimal curve
Δ	11250000 = 24 · 32 · 57	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4 -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-383,3012]	[a1,a2,a3,a4,a6]
Generators	[-13:75:1]	Generators of the group modulo torsion
j	24918016/45	j-invariant
L	1.8182269342928	L(r)(E,1)/r!
Ω	2.2709404020584	Real period
R	0.80064934009046	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	1200e1 4800r1 1800r1 120a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 600a1

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 600a1

-4	8	-3	5	-7	-11	13
1200e1	4800r1	1800r1	120a1	29400bt1	72600cl1	101400cb1

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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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