Cremona's table of elliptic curves

46 = 2 · 23

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Conductor	46	Conductor
Count	2	Number of curves in isogeny class
Curves	46a1 46a2	Curves in isogeny class
deg	5	Modular degree for the optimal curve
Eigenvalues	2+  0  4 -4  2 -2 -2 -2	Hecke eigenvalues for primes less than 20
L	0.66090411132397	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	368b 1472d 414d 1150e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 46a

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	-4	2	-2	-2	-2	-	2	0	-4	6	10	0	-4	12	-8	-10	0	6	-12	14	-6	6

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Quadratic twists for isogeny class 46a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53
368b	1472d	414d	1150e	2254c	5566i	7774d	13294a	16606o	1058a	38686j	44206c	62974e	77326e	85054f	101614a	129214b

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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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