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	1872m	Isogeny class
Conductor	1872	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-8994658608 = -1 · 24 · 39 · 134	Discriminant
Eigenvalues	2- 3+ -4 -4 -4 13+  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1512,-23085]	[a1,a2,a3,a4,a6]
j	-1213857792/28561	j-invariant
L	0.38227634924881	L(r)(E,1)/r!
Ω	0.38227634924881	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	468b1 7488bk1 1872l1 46800co1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1872m1

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 1872m1

-4	8	-3	5	-7	13
468b1	7488bk1	1872l1	46800co1	91728db1	24336bf1

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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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