Cremona's table of elliptic curves

8190 = 2 · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+ 13-	Signs for the Atkin-Lehner involutions
Conductor	8190	Conductor
Count	6	Number of curves in isogeny class
Curves	8190k1 8190k2 8190k3 8190k4 8190k5 8190k6	Curves in isogeny class
deg	8192	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7+  4 13- -2  4	Hecke eigenvalues for primes less than 20
L	3.0003379166953	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	65520dg 2730w 40950ef 57330cg	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 8190k

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

---

Quadratic twists for isogeny class 8190k

-4	-3	5	-7	13
65520dg	2730w	40950ef	57330cg	106470gb

---

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