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	2	Number of curves in isogeny class
Curves	138a1 138a2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ 3+ -2 -2 -6 -2  0  0	Hecke eigenvalues for primes less than 20
L	0.79077129713144	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1104i 4416h 414b 3450x	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 138a

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

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Quadratic twists for isogeny class 138a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1104i	4416h	414b	3450x	6762o	16698ba	23322l	39882w	49818bf	3174a	116058bd

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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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