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	12	Product of Tamagawa factors cp
Δ	91552734375000 = 23 · 3 · 518	Discriminant
Eigenvalues	2- 3+ 5+  4  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-11338,-67969]	[a1,a2,a3,a4,a6]
j	10316097499609/5859375000	j-invariant
L	1.4990368329452	L(r)(E,1)/r!
Ω	0.49967894431507	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	1200p7 4800w8 450g7 30a8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 150c8

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 150c8

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200p7	4800w8	450g7	30a8	7350cj7	18150m7	25350i8	43350dd8	54150bb8	79350cr8	126150bc8

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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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