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	168a1 168a2 168a3 168a4	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2 7+  0 -2  6 -4	Hecke eigenvalues for primes less than 20
L	1.4512623704546	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	336b 1344b 504f 4200q	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 168a

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

---

Quadratic twists for isogeny class 168a

-4	8	-3	5	-7	-11	13	17	-19	-23
336b	1344b	504f	4200q	1176c	20328bc	28392bc	48552i	60648v	88872r

---

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