Cremona's table of elliptic curves

1650 = 2 · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Conductor	1650	Conductor
Count	6	Number of curves in isogeny class
Curves	1650a1 1650a2 1650a3 1650a4 1650a5 1650a6	Curves in isogeny class
deg	768	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0 11+  2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.8615790068002	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13200cg 52800cp 4950bi 330b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1650a

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

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Quadratic twists for isogeny class 1650a

-4	8	-3	5	-7	-11
13200cg	52800cp	4950bi	330b	80850cb	18150bw

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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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