Cremona's table of elliptic curves

8112 = 2⁴ · 3 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Conductor	8112	Conductor
Count	4	Number of curves in isogeny class
Curves	8112bg1 8112bg2 8112bg3 8112bg4	Curves in isogeny class
deg	161280	Modular degree for the optimal curve
Eigenvalues	2- 3- -2  4 -4 13+  2 -8	Hecke eigenvalues for primes less than 20
L	4.8858898220498	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1014e 32448cg 24336bs 624i	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for isogeny class 8112bg

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	4	-4	+	2	-8	0	6	-4	2	10	-4	8	-10	4	-2	-16	-8	-2	-8	12	-14	-10

---

Quadratic twists for isogeny class 8112bg

-4	8	-3	13
1014e	32448cg	24336bs	624i

---

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