Cremona's table of elliptic curves

9200 = 2⁴ · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 23+	Signs for the Atkin-Lehner involutions
Class	9200bg	Isogeny class
Conductor	9200	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	77868800000000 = 214 · 58 · 233	Discriminant
Eigenvalues	2-  2 5-  1 -3 -1  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-15208,588912]	[a1,a2,a3,a4,a6]
Generators	[42:150:1]	Generators of the group modulo torsion
j	243135625/48668	j-invariant
L	6.0906609694147	L(r)(E,1)/r!
Ω	0.57889559744846	Real period
R	1.7535289023501	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	1150d1 36800dj1 82800fp1 9200bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9200bg1

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	-	1	-3	-1	0	1	+	-3	-2	2	3	1	0	-12	6	2	-8	6	-7	1	9	-18	-4

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Quadratic twists for elliptic curve 9200bg1

-4	8	-3	5
1150d1	36800dj1	82800fp1	9200bc1

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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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