Cremona's table of elliptic curves

9744 = 2⁴ · 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 29-	Signs for the Atkin-Lehner involutions
Conductor	9744	Conductor
Count	2	Number of curves in isogeny class
Curves	9744i1 9744i2	Curves in isogeny class
deg	7680	Modular degree for the optimal curve
Eigenvalues	2- 3+  0 7-  0 -6 -2  0	Hecke eigenvalues for primes less than 20
L	1.1082370784919	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1218c 38976bs 29232bi 68208cp	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for isogeny class 9744i

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

---

Quadratic twists for isogeny class 9744i

-4	8	-3	-7
1218c	38976bs	29232bi	68208cp

---

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