Cremona's table of elliptic curves

118 = 2 · 59

Field	Data	Notes
Atkin-Lehner	2- 59+	Signs for the Atkin-Lehner involutions
Conductor	118	Conductor
Count	1	Number of curves in isogeny class
Curves	118c1	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	2-  2 -2 -3 -1 -3  7  4	Hecke eigenvalues for primes less than 20
L	1.6840974199586	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	944k 3776i 1062e 2950f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 118c

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	-2	-3	-1	-3	7	4	4	4	-4	-7	-11	9	10	0	+	-2	4	9	-14	11	-13	18	2

---

Quadratic twists for isogeny class 118c

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	-59
944k	3776i	1062e	2950f	5782j	14278b	19942d	34102p	42598d	62422g	99238b	113398h	6962d

---

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