Cremona's table of elliptic curves

2150 = 2 · 5² · 43

Field	Data	Notes
Atkin-Lehner	2+ 5+ 43+	Signs for the Atkin-Lehner involutions
Class	2150a	Isogeny class
Conductor	2150	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1242296875000 = -1 · 23 · 59 · 433	Discriminant
Eigenvalues	2+  2 5+  1 -6 -5  6 -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-900,-55000]	[a1,a2,a3,a4,a6]
Generators	[275:4400:1]	Generators of the group modulo torsion
j	-5168743489/79507000	j-invariant
L	3.0310741966805	L(r)(E,1)/r!
Ω	0.36979007891684	Real period
R	4.0983714403032	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17200x2 68800bk2 19350bx2 430c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2150a2

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	+	1	-6	-5	6	-7	6	-3	5	-2	-3	+	-12	-6	-12	-1	13	12	-11	-1	0	6	-8

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Quadratic twists for elliptic curve 2150a2

-4	8	-3	5	-7	-43
17200x2	68800bk2	19350bx2	430c2	105350h2	92450bc2

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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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