Cremona's table of elliptic curves

4800 = 2⁶ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+	Signs for the Atkin-Lehner involutions
Conductor	4800	Conductor
Count	8	Number of curves in isogeny class
Curves	4800b1 4800b2 4800b3 4800b4 4800b5 4800b6 4800b7 4800b8	Curves in isogeny class
deg	3072	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+  0  4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	3.2907346725662	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4800cd 75b 14400y 960g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4800b

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

---

Quadratic twists for isogeny class 4800b

-4	8	-3	5
4800cd	75b	14400y	960g

---

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