Cremona's table of elliptic curves

84270 = 2 · 3 · 5 · 53²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 53+	Signs for the Atkin-Lehner involutions
Conductor	84270	Conductor
Count	8	Number of curves in isogeny class
Curves	84270bg1 84270bg2 84270bg3 84270bg4 84270bg5 84270bg6 84270bg7 84270bg8	Curves in isogeny class
deg	299520	Modular degree for the optimal curve
Eigenvalues	2- 3+ 5- -4  0  2  6  4	Hecke eigenvalues for primes less than 20
L	8.5346735675019	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	30a	Quadratic twists by: 53

Hecke Eigenvalues for isogeny class 84270bg

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
-	+	-	-4	0	2	6	4	0	-6	-8	2	6	-4	0	+	0	10	4	0	-2	-8	-12	18	2

---

Quadratic twists for isogeny class 84270bg

53
30a

---

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