Cremona's table of elliptic curves

3600 = 2⁴ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+	Signs for the Atkin-Lehner involutions
Conductor	3600	Conductor
Count	6	Number of curves in isogeny class
Curves	3600k1 3600k2 3600k3 3600k4 3600k5 3600k6	Curves in isogeny class
deg	1024	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+  0  4  2  2  4	Hecke eigenvalues for primes less than 20
L	2.2272397836272	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1800s 14400ds 1200a 144b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3600k

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

---

Quadratic twists for isogeny class 3600k

-4	8	-3	5
1800s	14400ds	1200a	144b

---

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