Cremona's table of elliptic curves

2550 = 2 · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 17+	Signs for the Atkin-Lehner involutions
Conductor	2550	Conductor
Count	6	Number of curves in isogeny class
Curves	2550b1 2550b2 2550b3 2550b4 2550b5 2550b6	Curves in isogeny class
deg	2048	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0 -4  2 17+  4	Hecke eigenvalues for primes less than 20
L	2.0222602930339	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	20400cx 81600cn 7650bz 102b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2550b

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

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Quadratic twists for isogeny class 2550b

-4	8	-3	5	-7	17
20400cx	81600cn	7650bz	102b	124950de	43350ba

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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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