Cremona's table of elliptic curves

129 = 3 · 43

Field	Data	Notes
Atkin-Lehner	3- 43+	Signs for the Atkin-Lehner involutions
Conductor	129	Conductor
Count	4	Number of curves in isogeny class
Curves	129b1 129b2 129b3 129b4	Curves in isogeny class
deg	15	Modular degree for the optimal curve
Eigenvalues	1 3-  2  0  0 -2 -6  4	Hecke eigenvalues for primes less than 20
L	1.6091464597883	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2064i 8256j 387d 3225c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 129b

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
1	-	2	0	0	-2	-6	4	-4	-6	8	6	2	+	4	-2	0	14	12	8	2	-8	0	14	-14

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Quadratic twists for isogeny class 129b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	-43
2064i	8256j	387d	3225c	6321a	15609j	21801g	37281b	46569c	68241i	108489a	123969a	5547a

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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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