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	-486000000000 = -1 · 210 · 35 · 59	Discriminant
Eigenvalues	2+ 3+ 5-  2  2  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-700,34000]	[a1,a2,a3,a4,a6]
j	-19465109/248832	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	1200q3 4800bd3 450a3 150a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 150b3

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 150b3

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1200q3	4800bd3	450a3	150a3	7350bl3	18150ch3	25350ch3	43350bq3	54150cv3	79350t3	126150de3

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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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