Cremona's table of elliptic curves

138 = 2 · 3 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 23+	Signs for the Atkin-Lehner involutions
Conductor	138	Conductor
Count	4	Number of curves in isogeny class
Curves	138b1 138b2 138b3 138b4	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0  2  0  2  0  2	Hecke eigenvalues for primes less than 20
L	1.0200678073909	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1104g 4416a 414a 3450r	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 138b

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

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Quadratic twists for isogeny class 138b

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1104g	4416a	414a	3450r	6762b	16698bl	23322t	39882f	49818y	3174d	116058r

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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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