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	24	Product of Tamagawa factors cp
Δ	1265625000 = 23 · 34 · 59	Discriminant
Eigenvalues	2- 3+ 5+  4  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-133338,-18795969]	[a1,a2,a3,a4,a6]
j	16778985534208729/81000	j-invariant
L	1.4990368329452	L(r)(E,1)/r!
Ω	0.24983947215754	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	1200p8 4800w7 450g8 30a7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 150c7

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 150c7

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200p8	4800w7	450g8	30a7	7350cj8	18150m8	25350i7	43350dd7	54150bb7	79350cr7	126150bc7

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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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