Cremona's table of elliptic curves

2046 = 2 · 3 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 31-	Signs for the Atkin-Lehner involutions
Conductor	2046	Conductor
Count	2	Number of curves in isogeny class
Curves	2046b1 2046b2	Curves in isogeny class
deg	7040	Modular degree for the optimal curve
Eigenvalues	2+ 3+  0  4 11- -2 -2 -6	Hecke eigenvalues for primes less than 20
L	2.1682857201599	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	16368s 65472r 6138l 51150cq	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2046b

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

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Quadratic twists for isogeny class 2046b

-4	8	-3	5	-7	-11	-31
16368s	65472r	6138l	51150cq	100254w	22506ba	63426j

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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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