Cremona's table of elliptic curves

22185 = 3² · 5 · 17 · 29

Field	Data	Notes
Atkin-Lehner	3- 5+ 17+ 29+	Signs for the Atkin-Lehner involutions
Conductor	22185	Conductor
Count	6	Number of curves in isogeny class
Curves	22185i1 22185i2 22185i3 22185i4 22185i5 22185i6	Curves in isogeny class
deg	28672	Modular degree for the optimal curve
Eigenvalues	1 3- 5+  0 -4 -2 17+  4	Hecke eigenvalues for primes less than 20
L	1.0066878603151	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	7395m 110925bc	Quadratic twists by: -3 5

Hecke Eigenvalues for isogeny class 22185i

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

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Quadratic twists for isogeny class 22185i

-3	5
7395m	110925bc

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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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