Cremona's table of elliptic curves

4032 = 2⁶ · 3² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7+	Signs for the Atkin-Lehner involutions
Conductor	4032	Conductor
Count	6	Number of curves in isogeny class
Curves	4032z1 4032z2 4032z3 4032z4 4032z5 4032z6	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2- 3-  0 7+  0  4 -6  2	Hecke eigenvalues for primes less than 20
L	3.5850068046031	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4032l 1008i 448f 100800mz	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4032z

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

---

Quadratic twists for isogeny class 4032z

-4	8	-3	5	-7
4032l	1008i	448f	100800mz	28224fc

---

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