Cremona's table of elliptic curves

1638 = 2 · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 13+	Signs for the Atkin-Lehner involutions
Conductor	1638	Conductor
Count	4	Number of curves in isogeny class
Curves	1638e1 1638e2 1638e3 1638e4	Curves in isogeny class
deg	5760	Modular degree for the optimal curve
Eigenvalues	2+ 3- -2 7+ -4 13+  6  0	Hecke eigenvalues for primes less than 20
L	0.70705041741984	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	13104cd 52416cb 182a 40950ev	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1638e

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	+	6	0	-8	10	-8	6	6	4	8	-6	-8	10	4	8	2	8	0	-18	2

---

Quadratic twists for isogeny class 1638e

-4	8	-3	5	-7	13
13104cd	52416cb	182a	40950ev	11466z	21294cl

---

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