Cremona's table of elliptic curves

1690 = 2 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+	Signs for the Atkin-Lehner involutions
Conductor	1690	Conductor
Count	4	Number of curves in isogeny class
Curves	1690a1 1690a2 1690a3 1690a4	Curves in isogeny class
deg	1344	Modular degree for the optimal curve
Eigenvalues	2+  0 5+  0  0 13+  2  8	Hecke eigenvalues for primes less than 20
L	2.0178758590114	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	13520n 54080bb 15210bm 8450m	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1690a

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

---

Quadratic twists for isogeny class 1690a

-4	8	-3	5	-7	13
13520n	54080bb	15210bm	8450m	82810bb	130b

---

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