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	1	Number of curves in isogeny class
Curves	106b1	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	2+ -1 -4  0 -4  1  5 -7	Hecke eigenvalues for primes less than 20
L	0.6909022750657	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	848a 3392e 954m 2650l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 106b

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
+	-1	-4	0	-4	1	5	-7	1	5	-4	1	-10	-10	-6	+	-6	4	4	15	-8	1	-3	2	17

---

Quadratic twists for isogeny class 106b

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	53
848a	3392e	954m	2650l	5194f	12826h	17914h	30634a	38266k	56074c	89146d	101866h	5618f

---

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