Cremona's table of elliptic curves

693 = 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	3- 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	693	Conductor
Count	3	Number of curves in isogeny class
Curves	693c1 693c2 693c3	Curves in isogeny class
deg	200	Modular degree for the optimal curve
Eigenvalues	0 3- -3 7- 11- -4  6  2	Hecke eigenvalues for primes less than 20
L	0.8965723977233	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	11088bj 44352ch 77b 17325n	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 693c

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	-	-3	-	-	-4	6	2	-3	6	5	11	-6	8	0	6	9	-10	5	-9	2	-10	-12	3	-1

---

Quadratic twists for isogeny class 693c

-4	8	-3	5	-7	-11	13
11088bj	44352ch	77b	17325n	4851n	7623f	117117n

---

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