Cremona's table of elliptic curves

4785 = 3 · 5 · 11 · 29

Field	Data	Notes
Atkin-Lehner	3- 5- 11+ 29-	Signs for the Atkin-Lehner involutions
Conductor	4785	Conductor
Count	6	Number of curves in isogeny class
Curves	4785c1 4785c2 4785c3 4785c4 4785c5 4785c6	Curves in isogeny class
deg	2816	Modular degree for the optimal curve
Eigenvalues	-1 3- 5-  0 11+  6  2 -4	Hecke eigenvalues for primes less than 20
L	1.8012500711389	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	76560bt 14355e 23925a 52635s	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for isogeny class 4785c

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
-1	-	-	0	+	6	2	-4	8	-	8	-2	-6	4	0	6	-4	-2	4	-8	10	-8	12	-6	10

---

Quadratic twists for isogeny class 4785c

-4	-3	5	-11
76560bt	14355e	23925a	52635s

---

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