Cremona's table of elliptic curves

99450 = 2 · 3² · 5² · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+ 17-	Signs for the Atkin-Lehner involutions
Conductor	99450	Conductor
Count	8	Number of curves in isogeny class
Curves	99450cr1 99450cr2 99450cr3 99450cr4 99450cr5 99450cr6 99450cr7 99450cr8	Curves in isogeny class
deg	53084160	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  4  0 13+ 17- -4	Hecke eigenvalues for primes less than 20
L	4.6772344188366	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	33150b 19890r	Quadratic twists by: -3 5

Hecke Eigenvalues for isogeny class 99450cr

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

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Quadratic twists for isogeny class 99450cr

-3	5
33150b	19890r

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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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