Cremona's table of elliptic curves

4872 = 2³ · 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 29-	Signs for the Atkin-Lehner involutions
Class	4872d	Isogeny class
Conductor	4872	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	854509824 = 28 · 34 · 72 · 292	Discriminant
Eigenvalues	2+ 3+ -2 7+  0  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-364,-2156]	[a1,a2,a3,a4,a6]
j	20892021712/3337929	j-invariant
L	1.1045556084062	L(r)(E,1)/r!
Ω	1.1045556084062	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9744g2 38976n2 14616h2 121800bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4872d2

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

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Quadratic twists for elliptic curve 4872d2

-4	8	-3	5	-7
9744g2	38976n2	14616h2	121800bw2	34104t2

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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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