Cremona's table of elliptic curves

40128 = 2⁶ · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 11- 19+	Signs for the Atkin-Lehner involutions
Conductor	40128	Conductor
Count	6	Number of curves in isogeny class
Curves	40128x1 40128x2 40128x3 40128x4 40128x5 40128x6	Curves in isogeny class
deg	147456	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0 11-  2  2 19+	Hecke eigenvalues for primes less than 20
L	8.6635823413887	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40128bi 1254g 120384s	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for isogeny class 40128x

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
+	-	2	0	-	2	2	+	-8	2	-8	-6	-6	4	0	10	12	-6	-12	8	-6	8	4	-14	2

---

Quadratic twists for isogeny class 40128x

-4	8	-3
40128bi	1254g	120384s

---

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