Cremona's table of elliptic curves

106 = 2 · 53

Field	Data	Notes
Atkin-Lehner	2- 53+	Signs for the Atkin-Lehner involutions
Conductor	106	Conductor
Count	2	Number of curves in isogeny class
Curves	106a1 106a2	Curves in isogeny class
deg	6	Modular degree for the optimal curve
Eigenvalues	2- -2  3  2 -3 -4  3 -4	Hecke eigenvalues for primes less than 20
L	1.2619276862029	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	848c 3392i 954f 2650c	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 106a

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	3	2	-3	-4	3	-4	-9	6	5	-10	6	-1	0	+	15	-10	-4	12	8	11	-6	9	-13

---

Quadratic twists for isogeny class 106a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	53
848c	3392i	954f	2650c	5194o	12826c	17914e	30634f	38266f	56074g	89146b	101866q	5618c

---

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