Cremona's table of elliptic curves

126 = 2 · 3² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Conductor	126	Conductor
Count	6	Number of curves in isogeny class
Curves	126a1 126a2 126a3 126a4 126a5 126a6	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 7-  0 -4 -6  2	Hecke eigenvalues for primes less than 20
L	1.5305454480783	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1008i 4032l 14a 3150l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 126a

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 isogeny class 126a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1008i	4032l	14a	3150l	882i	15246i	21294o	36414cf	45486p	66654bi	105966u	121086bc

---

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