Cremona's table of elliptic curves

2838 = 2 · 3 · 11 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 43+	Signs for the Atkin-Lehner involutions
Conductor	2838	Conductor
Count	6	Number of curves in isogeny class
Curves	2838e1 2838e2 2838e3 2838e4 2838e5 2838e6	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2- 3- -2  0 11+ -2 -6 -4	Hecke eigenvalues for primes less than 20
L	4.9478259461821	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	22704bd 90816w 8514d 70950b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 2838e

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	0	+	-2	-6	-4	0	-2	0	-10	2	+	8	6	4	-2	4	-8	-6	-8	-4	2	2

---

Quadratic twists for isogeny class 2838e

-4	8	-3	5	-11	-43
22704bd	90816w	8514d	70950b	31218i	122034b

---

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