Cremona's table of elliptic curves

22050 = 2 · 3² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	22050	Conductor
Count	8	Number of curves in isogeny class
Curves	22050eo1 22050eo2 22050eo3 22050eo4 22050eo5 22050eo6 22050eo7 22050eo8	Curves in isogeny class
deg	1179648	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7-  4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	3.2038659178188	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	7350bc 4410r 3150bk	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for isogeny class 22050eo

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
-	-	+	-	4	-2	-2	-4	-8	2	0	-6	-6	4	0	-10	12	-14	12	8	10	16	12	10	2

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Quadratic twists for isogeny class 22050eo

-3	5	-7
7350bc	4410r	3150bk

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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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