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	1450i	Isogeny class
Conductor	1450	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-30486250 = -1 · 2 · 54 · 293	Discriminant
Eigenvalues	2- -2 5-  2 -6  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-238,-1458]	[a1,a2,a3,a4,a6]
Generators	[198:615:8]	Generators of the group modulo torsion
j	-2386099825/48778	j-invariant
L	2.9779309195123	L(r)(E,1)/r!
Ω	0.60700167927253	Real period
R	4.905968173072	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11600bb2 46400bi2 13050s2 1450c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1450i2

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
-	-2	-	2	-6	2	-6	2	0	+	-7	-7	-12	8	9	-6	-9	-1	-1	-12	2	8	0	-6	-4

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Quadratic twists for elliptic curve 1450i2

-4	8	-3	5	-7	29
11600bb2	46400bi2	13050s2	1450c2	71050ck2	42050q2

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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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