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	8	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-14515200000000 = -1 · 216 · 34 · 58 · 7	Discriminant
Eigenvalues	2+ 3+ 5+ 7- -4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,5250,112500]	[a1,a2,a3,a4,a6]
j	1023887723039/928972800	j-invariant
L	0.91762238030586	L(r)(E,1)/r!
Ω	0.45881119015293	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	8400cc1 33600da1 3150bk1 210e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050c1

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 1050c1

-4	8	-3	5	-7	-11
8400cc1	33600da1	3150bk1	210e1	7350bc1	127050fh1

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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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