Cremona's table of elliptic curves

690 = 2 · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 23-	Signs for the Atkin-Lehner involutions
Conductor	690	Conductor
Count	4	Number of curves in isogeny class
Curves	690f1 690f2 690f3 690f4	Curves in isogeny class
deg	64	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5-  0  4 -2  2  0	Hecke eigenvalues for primes less than 20
L	1.54139590578	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5520r 22080h 2070n 3450n	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 690f

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

---

Quadratic twists for isogeny class 690f

-4	8	-3	5	-7	-11	13	-23
5520r	22080h	2070n	3450n	33810k	83490cr	116610ck	15870j

---

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