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	126b1 126b2 126b3 126b4 126b5 126b6	Curves in isogeny class
deg	32	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 7+  4  6 -2 -4	Hecke eigenvalues for primes less than 20
L	0.91047373686993	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1008l 4032i 42a 3150bl	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 126b

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

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Quadratic twists for isogeny class 126b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1008l	4032i	42a	3150bl	882e	15246bs	21294cm	36414bi	45486bh	66654w	105966bu	121086g

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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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