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	550d1 550d2	Curves in isogeny class
deg	180	Modular degree for the optimal curve
Eigenvalues	2+ -2 5- -4 11+  5  0 -7	Hecke eigenvalues for primes less than 20
L	0.48223234604083	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4400bc 17600bh 4950bu 550h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 550d

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
+	-2	-	-4	+	5	0	-7	3	3	5	-4	12	5	0	6	12	-10	14	3	8	-4	-15	3	-13

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Quadratic twists for isogeny class 550d

-4	8	-3	5	-7	-11	13
4400bc	17600bh	4950bu	550h	26950bi	6050bn	92950da

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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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