Cremona's table of elliptic curves

732 = 2² · 3 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 61-	Signs for the Atkin-Lehner involutions
Conductor	732	Conductor
Count	1	Number of curves in isogeny class
Curves	732b1	Curves in isogeny class
deg	192	Modular degree for the optimal curve
Eigenvalues	2- 3+  1 -5  5  1 -6 -2	Hecke eigenvalues for primes less than 20
L	1.9306520941554	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	2928n 11712i 2196e 18300l	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 732b

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	-5	5	1	-6	-2	-7	4	-8	6	-7	-8	-8	-6	3	-	3	-12	13	9	0	0	-10

---

Quadratic twists for isogeny class 732b

-4	8	-3	5	-7	-11	13	61
2928n	11712i	2196e	18300l	35868h	88572a	123708d	44652c

---

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