Cremona's table of elliptic curves

180 = 2² · 3² · 5

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Conductor	180	Conductor
Count	4	Number of curves in isogeny class
Curves	180a1 180a2 180a3 180a4	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	2- 3- 5-  2  0  2  6 -4	Hecke eigenvalues for primes less than 20
L	1.312989889848	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	720i 2880i 20a 900e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 180a

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	6	-4	-6	-6	-4	2	-6	-10	6	6	-12	2	2	12	2	8	-6	6	2

---

Quadratic twists for isogeny class 180a

-4	8	-3	5	-7	-11	13	17	-19	-23
720i	2880i	20a	900e	8820j	21780y	30420j	52020t	64980bh	95220l

---

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