Cremona's table of elliptic curves

126 = 2 · 3² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	126a	Isogeny class
Conductor	126	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	-16003008 = -1 · 26 · 36 · 73	Discriminant
Eigenvalues	2- 3-  0 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,40,155]	[a1,a2,a3,a4,a6]
j	9938375/21952	j-invariant
L	1.5305454480783	L(r)(E,1)/r!
Ω	1.5305454480783	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	1008i3 4032l3 14a1 3150l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 126a3

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

---

Quadratic twists for elliptic curve 126a3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1008i3	4032l3	14a1	3150l3	882i3	15246i3	21294o3	36414cf3	45486p3	66654bi3	105966u3	121086bc3

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations