Cremona's table of elliptic curves

150 = 2 · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+	Signs for the Atkin-Lehner involutions
Class	150c	Isogeny class
Conductor	150	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	527343750 = 2 · 33 · 510	Discriminant
Eigenvalues	2- 3+ 5+  4  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-7213,232781]	[a1,a2,a3,a4,a6]
j	2656166199049/33750	j-invariant
L	1.4990368329452	L(r)(E,1)/r!
Ω	1.4990368329452	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1200p4 4800w5 450g4 30a5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 150c5

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	0	-2	-6	-4	0	-6	8	-2	-6	4	0	6	0	-10	4	0	-2	8	-12	18	-2

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Quadratic twists for elliptic curve 150c5

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200p4	4800w5	450g4	30a5	7350cj4	18150m4	25350i5	43350dd5	54150bb5	79350cr5	126150bc5

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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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