Cremona's table of elliptic curves

34650 = 2 · 3² · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 11-	Signs for the Atkin-Lehner involutions
Conductor	34650	Conductor
Count	8	Number of curves in isogeny class
Curves	34650s1 34650s2 34650s3 34650s4 34650s5 34650s6 34650s7 34650s8	Curves in isogeny class
deg	2654208	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+ 11- -2 -6 -4	Hecke eigenvalues for primes less than 20
L	3.4456257722164	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	11550bk 6930bl	Quadratic twists by: -3 5

Hecke Eigenvalues for isogeny class 34650s

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

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Quadratic twists for isogeny class 34650s

-3	5
11550bk	6930bl

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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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