Cremona's table of elliptic curves

1450 = 2 · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 29+	Signs for the Atkin-Lehner involutions
Class	1450h	Isogeny class
Conductor	1450	Conductor
∏ cp	54	Product of Tamagawa factors cp
deg	3240	Modular degree for the optimal curve
Δ	-168200000000 = -1 · 29 · 58 · 292	Discriminant
Eigenvalues	2-  1 5- -4 -3 -4  3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10638,421892]	[a1,a2,a3,a4,a6]
Generators	[-98:774:1]	Generators of the group modulo torsion
j	-340836570625/430592	j-invariant
L	3.9725874513244	L(r)(E,1)/r!
Ω	1.0161490858498	Real period
R	0.65157555891551	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11600ba1 46400bg1 13050x1 1450b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1450h1

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
-	1	-	-4	-3	-4	3	-7	6	+	2	-10	-9	8	-6	12	12	-10	5	6	-7	-16	9	-3	2

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Quadratic twists for elliptic curve 1450h1

-4	8	-3	5	-7	29
11600ba1	46400bg1	13050x1	1450b1	71050cj1	42050p1

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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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