Cremona's table of elliptic curves

1650 = 2 · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	1650s	Isogeny class
Conductor	1650	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-18873164062500 = -1 · 22 · 3 · 510 · 115	Discriminant
Eigenvalues	2- 3- 5+  3 11-  4 -7  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,6237,-87483]	[a1,a2,a3,a4,a6]
j	2747555975/1932612	j-invariant
L	3.8781629142203	L(r)(E,1)/r!
Ω	0.38781629142203	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	13200bl2 52800n2 4950k2 1650d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1650s2

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	-	4	-7	5	-1	-10	2	-7	-3	4	13	4	-5	12	-12	-3	4	-15	14	0	-7

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Quadratic twists for elliptic curve 1650s2

-4	8	-3	5	-7	-11
13200bl2	52800n2	4950k2	1650d1	80850eq2	18150bg2

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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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