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	138c1 138c2 138c3 138c4	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2- 3+  2  0  0 -2  2 -8	Hecke eigenvalues for primes less than 20
L	1.4877307684125	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1104h 4416i 414c 3450i	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 138c

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	-2	2	-8	+	-2	-8	2	10	8	8	2	-4	2	8	0	-6	8	-16	18	10

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Quadratic twists for isogeny class 138c

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1104h	4416i	414c	3450i	6762bi	16698e	23322b	39882bt	49818k	3174g	116058g

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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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