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	106c1 106c2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2-  1  0 -4  0  5 -3 -1	Hecke eigenvalues for primes less than 20
L	1.5247984324071	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	848b 3392g 954e 2650b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 106c

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	0	-4	0	5	-3	-1	3	9	-4	5	6	-10	6	+	6	8	-4	-3	-4	-13	3	18	-7

---

Quadratic twists for isogeny class 106c

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

---

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