Cremona's table of elliptic curves

6336 = 2⁶ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	6336bp	Isogeny class
Conductor	6336	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	232479063539712 = 230 · 39 · 11	Discriminant
Eigenvalues	2- 3+  0 -2 11- -2  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-37260,2669328]	[a1,a2,a3,a4,a6]
Generators	[21:1377:1]	Generators of the group modulo torsion
j	1108717875/45056	j-invariant
L	3.854641913944	L(r)(E,1)/r!
Ω	0.55264525025751	Real period
R	3.4874468858168	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6336b3 1584h3 6336bi1 69696ef3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336bp3

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

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Quadratic twists for elliptic curve 6336bp3

-4	8	-3	-11
6336b3	1584h3	6336bi1	69696ef3

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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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