Cremona's table of elliptic curves

121680 = 2⁴ · 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13+	Signs for the Atkin-Lehner involutions
Conductor	121680	Conductor
Count	6	Number of curves in isogeny class
Curves	121680ep1 121680ep2 121680ep3 121680ep4 121680ep5 121680ep6	Curves in isogeny class
deg	2064384	Modular degree for the optimal curve
Eigenvalues	2- 3- 5-  0 -4 13+  6  4	Hecke eigenvalues for primes less than 20
L	2.5105879330998	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	15210bn 40560bz 9360bn	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for isogeny class 121680ep

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	-4	+	6	4	8	-6	-8	10	-6	-4	0	10	-4	-2	-12	-16	-2	16	12	10	6

---

Quadratic twists for isogeny class 121680ep

-4	-3	13
15210bn	40560bz	9360bn

---

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