Cremona's table of elliptic curves

10150 = 2 · 5² · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 29-	Signs for the Atkin-Lehner involutions
Class	10150o	Isogeny class
Conductor	10150	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-24867500 = -1 · 22 · 54 · 73 · 29	Discriminant
Eigenvalues	2-  1 5- 7-  0 -4 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-73388,-7658308]	[a1,a2,a3,a4,a6]
Generators	[25356:727670:27]	Generators of the group modulo torsion
j	-69938968292940625/39788	j-invariant
L	7.7009352894211	L(r)(E,1)/r!
Ω	0.14503180936405	Real period
R	8.8497083538533	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	81200cc2 91350cp2 10150b2 71050cm2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 10150o2

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	-	-	0	-4	-3	5	-3	-	-4	-10	6	8	0	-9	-6	5	-1	9	-10	-10	6	-15	-7

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Quadratic twists for elliptic curve 10150o2

-4	-3	5	-7
81200cc2	91350cp2	10150b2	71050cm2

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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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