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	1050h	Isogeny class
Conductor	1050	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-65915291531250 = -1 · 2 · 316 · 56 · 72	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,9649,140348]	[a1,a2,a3,a4,a6]
Generators	[42:766:1]	Generators of the group modulo torsion
j	6359387729183/4218578658	j-invariant
L	2.1683500451392	L(r)(E,1)/r!
Ω	0.38856683835958	Real period
R	0.34877365858943	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8400bl6 33600ba5 3150bl6 42a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050h6

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

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Quadratic twists for elliptic curve 1050h6

-4	8	-3	5	-7	-11
8400bl6	33600ba5	3150bl6	42a6	7350i6	127050hk5

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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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