Cremona's table of elliptic curves

550 = 2 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Conductor	550	Conductor
Count	2	Number of curves in isogeny class
Curves	550i1 550i2	Curves in isogeny class
deg	672	Modular degree for the optimal curve
Eigenvalues	2- -1 5+ -5 11- -2 -3 -7	Hecke eigenvalues for primes less than 20
L	2.2720084494269	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4400l 17600d 4950m 110c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 550i

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
-	-1	+	-5	-	-2	-3	-7	6	-3	-7	7	6	-8	-6	3	-6	-1	-8	3	-2	-10	6	9	4

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Quadratic twists for isogeny class 550i

-4	8	-3	5	-7	-11	13
4400l	17600d	4950m	110c	26950cr	6050h	92950c

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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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