Cremona's table of elliptic curves

1400 = 2³ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	1400a	Isogeny class
Conductor	1400	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	76832000000 = 211 · 56 · 74	Discriminant
Eigenvalues	2+  0 5+ 7- -4 -2  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1475,-17250]	[a1,a2,a3,a4,a6]
j	11090466/2401	j-invariant
L	1.5644395841064	L(r)(E,1)/r!
Ω	0.78221979205319	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2800a4 11200n3 12600cc4 56a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1400a3

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	+	-	-4	-2	6	8	0	6	8	2	2	4	8	-6	0	-6	4	-8	-10	16	-8	-6	6

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Quadratic twists for elliptic curve 1400a3

-4	8	-3	5	-7
2800a4	11200n3	12600cc4	56a3	9800d4

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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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