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	150b	Isogeny class
Conductor	150	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3690562500000 = 25 · 310 · 59	Discriminant
Eigenvalues	2+ 3+ 5-  2  2  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-20700,1134000]	[a1,a2,a3,a4,a6]
j	502270291349/1889568	j-invariant
L	0.79123678978251	L(r)(E,1)/r!
Ω	0.79123678978251	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	1200q4 4800bd4 450a4 150a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 150b4

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

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Quadratic twists for elliptic curve 150b4

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200q4	4800bd4	450a4	150a4	7350bl4	18150ch4	25350ch4	43350bq4	54150cv4	79350t4	126150de4

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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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