Cremona's table of elliptic curves

168 = 2³ · 3 · 7

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7-	Signs for the Atkin-Lehner involutions
Conductor	168	Conductor
Count	4	Number of curves in isogeny class
Curves	168b1 168b2 168b3 168b4	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2 7-  0  6 -2  4	Hecke eigenvalues for primes less than 20
L	1.1607546520288	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	336c 1344j 504g 4200x	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 168b

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

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Quadratic twists for isogeny class 168b

-4	8	-3	5	-7	-11	13	17	-19	-23
336c	1344j	504g	4200x	1176e	20328q	28392q	48552p	60648bp	88872c

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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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