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	1050l	Isogeny class
Conductor	1050	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1080	Modular degree for the optimal curve
Δ	-14765625000 = -1 · 23 · 33 · 510 · 7	Discriminant
Eigenvalues	2- 3+ 5+ 7+  6  1 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,612,-219]	[a1,a2,a3,a4,a6]
j	2595575/1512	j-invariant
L	2.2116740725072	L(r)(E,1)/r!
Ω	0.73722469083572	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8400cj1 33600co1 3150m1 1050j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1050l1

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
-	+	+	+	6	1	-3	-4	3	3	5	10	9	1	0	-9	9	11	4	-12	10	-10	-9	-6	-14

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Quadratic twists for elliptic curve 1050l1

-4	8	-3	5	-7	-11
8400cj1	33600co1	3150m1	1050j1	7350cr1	127050v1

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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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