Cremona's table of elliptic curves

1050 = 2 · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1050c	Isogeny class
Conductor	1050	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	2026687851562500 = 22 · 32 · 510 · 78	Discriminant
Eigenvalues	2+ 3+ 5+ 7- -4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3001250,-2002500000]	[a1,a2,a3,a4,a6]
j	191342053882402567201/129708022500	j-invariant
L	0.91762238030586	L(r)(E,1)/r!
Ω	0.11470279753823	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8400cc5 33600da6 3150bk5 210e5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050c5

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	2	-2	4	8	-2	0	-6	-6	4	0	10	12	14	12	-8	-10	16	12	10	-2

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Quadratic twists for elliptic curve 1050c5

-4	8	-3	5	-7	-11
8400cc5	33600da6	3150bk5	210e5	7350bc5	127050fh6

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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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