Cremona's table of elliptic curves

1833 = 3 · 13 · 47

Field	Data	Notes
Atkin-Lehner	3- 13- 47-	Signs for the Atkin-Lehner involutions
Conductor	1833	Conductor
Count	1	Number of curves in isogeny class
Curves	1833e1	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	1 3-  0  3  1 13-  0  6	Hecke eigenvalues for primes less than 20
L	3.0298493247914	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	29328k 117312d 5499g 45825b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1833e

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	3	1	-	0	6	6	-5	-8	4	12	-4	-	12	6	7	8	10	1	0	-10	-5	-2

---

Quadratic twists for isogeny class 1833e

-4	8	-3	5	-7	13	-47
29328k	117312d	5499g	45825b	89817a	23829i	86151f

---

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