Cremona's table of elliptic curves

4046 = 2 · 7 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 7+ 17+	Signs for the Atkin-Lehner involutions
Conductor	4046	Conductor
Count	6	Number of curves in isogeny class
Curves	4046b1 4046b2 4046b3 4046b4 4046b5 4046b6	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2+  2  0 7+  0 -4 17+  2	Hecke eigenvalues for primes less than 20
L	3.557944624443	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	32368bd 129472l 36414cf 101150cl	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4046b

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

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Quadratic twists for isogeny class 4046b

-4	8	-3	5	-7	17
32368bd	129472l	36414cf	101150cl	28322h	14a

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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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