Cremona's table of elliptic curves

33600 = 2⁶ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	33600cm	Isogeny class
Conductor	33600	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	24576	Modular degree for the optimal curve
Δ	-13125000000 = -1 · 26 · 3 · 510 · 7	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -4  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,492,3738]	[a1,a2,a3,a4,a6]
j	13144256/13125	j-invariant
L	3.3205810164725	L(r)(E,1)/r!
Ω	0.83014525411699	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	33600z1 16800d4 100800eb1 6720n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 33600cm1

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	2	4	0	6	8	6	6	-8	-4	-2	0	-10	8	0	10	-4	-4	-10	18

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Quadratic twists for elliptic curve 33600cm1

-4	8	-3	5
33600z1	16800d4	100800eb1	6720n1

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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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