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	2	Number of curves in isogeny class
Curves	4046l1 4046l2	Curves in isogeny class
deg	32256	Modular degree for the optimal curve
Eigenvalues	2-  2  4 7+  6 -2 17+  0	Hecke eigenvalues for primes less than 20
L	6.503021611537	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	32368bf 129472n 36414z 101150w	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4046l

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

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Quadratic twists for isogeny class 4046l

-4	8	-3	5	-7	17
32368bf	129472n	36414z	101150w	28322bb	238a

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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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