Cremona's table of elliptic curves

12600 = 2³ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+	Signs for the Atkin-Lehner involutions
Class	12600ci	Isogeny class
Conductor	12600	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-14065143750000 = -1 · 24 · 38 · 58 · 73	Discriminant
Eigenvalues	2- 3- 5- 7+ -3  0  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1875,-183125]	[a1,a2,a3,a4,a6]
j	-160000/3087	j-invariant
L	1.2144363942343	L(r)(E,1)/r!
Ω	0.30360909855858	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	25200cl1 100800gv1 4200p1 12600u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12600ci1

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
-	-	-	+	-3	0	2	-8	-1	9	-6	-3	8	-7	-8	2	0	12	-1	-3	-2	-5	-6	4	2

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Quadratic twists for elliptic curve 12600ci1

-4	8	-3	5	-7
25200cl1	100800gv1	4200p1	12600u1	88200il1

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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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