Cremona's table of elliptic curves

1950 = 2 · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13-	Signs for the Atkin-Lehner involutions
Class	1950bb	Isogeny class
Conductor	1950	Conductor
∏ cp	224	Product of Tamagawa factors cp
Δ	17740944000 = 27 · 38 · 53 · 132	Discriminant
Eigenvalues	2- 3- 5- -4 -6 13- -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3523,79937]	[a1,a2,a3,a4,a6]
Generators	[2:269:1]	Generators of the group modulo torsion
j	38686490446661/141927552	j-invariant
L	4.4369924797546	L(r)(E,1)/r!
Ω	1.2343728382254	Real period
R	0.064188068720754	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15600by2 62400bn2 5850ba2 1950d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950bb2

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
-	-	-	-4	-6	-	-4	2	-6	-10	4	-6	10	0	8	-6	-6	-6	-12	0	2	-8	-4	14	14

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Quadratic twists for elliptic curve 1950bb2

-4	8	-3	5	-7	13
15600by2	62400bn2	5850ba2	1950d2	95550ib2	25350bu2

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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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