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	16	Product of Tamagawa factors cp
Δ	1139062500 = 22 · 36 · 58	Discriminant
Eigenvalues	2- 3+ 5+  4  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-463,3281]	[a1,a2,a3,a4,a6]
j	702595369/72900	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	4	Number of elements in the torsion subgroup
Twists	1200p2 4800w2 450g2 30a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 150c2

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 150c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200p2	4800w2	450g2	30a2	7350cj2	18150m2	25350i2	43350dd2	54150bb2	79350cr2	126150bc2

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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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