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	1050k	Isogeny class
Conductor	1050	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	643125000000 = 26 · 3 · 510 · 73	Discriminant
Eigenvalues	2- 3+ 5+ 7+  0 -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-8780813,-10018641469]	[a1,a2,a3,a4,a6]
j	4791901410190533590281/41160000	j-invariant
L	2.1048788972122	L(r)(E,1)/r!
Ω	0.08770328738384	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8400cf7 33600cd8 3150k7 210b7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050k7

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

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Quadratic twists for elliptic curve 1050k7

-4	8	-3	5	-7	-11
8400cf7	33600cd8	3150k7	210b7	7350ck7	127050bf8

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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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