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	64	Product of Tamagawa factors cp
Δ	139535156250000 = 24 · 36 · 512 · 72	Discriminant
Eigenvalues	2- 3+ 5+ 7+  0 -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-14438,344531]	[a1,a2,a3,a4,a6]
j	21302308926361/8930250000	j-invariant
L	2.1048788972122	L(r)(E,1)/r!
Ω	0.52621972430304	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	8400cf2 33600cd2 3150k2 210b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050k2

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 1050k2

-4	8	-3	5	-7	-11
8400cf2	33600cd2	3150k2	210b2	7350ck2	127050bf2

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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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