Cremona's table of elliptic curves

2142 = 2 · 3² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 17+	Signs for the Atkin-Lehner involutions
Conductor	2142	Conductor
Count	6	Number of curves in isogeny class
Curves	2142g1 2142g2 2142g3 2142g4 2142g5 2142g6	Curves in isogeny class
deg	30720	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 7- -4 -2 17+  4	Hecke eigenvalues for primes less than 20
L	2.5663010016199	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	17136y 68544ca 714g 53550dt	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2142g

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

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Quadratic twists for isogeny class 2142g

-4	8	-3	5	-7	17
17136y	68544ca	714g	53550dt	14994bi	36414t

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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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