Cremona's table of elliptic curves

9100 = 2² · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	9100m	Isogeny class
Conductor	9100	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	39168	Modular degree for the optimal curve
Δ	11990786080000 = 28 · 54 · 78 · 13	Discriminant
Eigenvalues	2- -1 5- 7- -2 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-255333,49745137]	[a1,a2,a3,a4,a6]
Generators	[232:1715:1]	Generators of the group modulo torsion
j	11506050457600000/74942413	j-invariant
L	3.6025128543155	L(r)(E,1)/r!
Ω	0.63714874356238	Real period
R	0.23558816332885	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	36400ck1 81900bo1 9100a1 63700bl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9100m1

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	-	-	-2	-	6	4	-7	1	0	-10	-6	-1	0	-5	-6	3	10	-6	16	1	-6	12	-6

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Quadratic twists for elliptic curve 9100m1

-4	-3	5	-7	13
36400ck1	81900bo1	9100a1	63700bl1	118300be1

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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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