Cremona's table of elliptic curves

1872 = 2⁴ · 3² · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Class	1872l	Isogeny class
Conductor	1872	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1168128 = 28 · 33 · 132	Discriminant
Eigenvalues	2- 3+  4 -4  4 13+  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2703,54090]	[a1,a2,a3,a4,a6]
j	315978926832/169	j-invariant
L	2.2497620441206	L(r)(E,1)/r!
Ω	2.2497620441206	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	468a2 7488bl2 1872m2 46800cn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1872l2

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

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Quadratic twists for elliptic curve 1872l2

-4	8	-3	5	-7	13
468a2	7488bl2	1872m2	46800cn2	91728dc2	24336bg2

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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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