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	8	Number of curves in isogeny class
Curves	8190m1 8190m2 8190m3 8190m4 8190m5 8190m6 8190m7 8190m8	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  0 13- -6 -4	Hecke eigenvalues for primes less than 20
L	0.8709071618923	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	65520cq 2730bd 40950dm 57330ce	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 8190m

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

---

Quadratic twists for isogeny class 8190m

-4	-3	5	-7	13
65520cq	2730bd	40950dm	57330ce	106470fe

---

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