Cremona's table of elliptic curves

27075 = 3 · 5² · 19²

Field	Data	Notes
Atkin-Lehner	3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Conductor	27075	Conductor
Count	8	Number of curves in isogeny class
Curves	27075g1 27075g2 27075g3 27075g4 27075g5 27075g6 27075g7 27075g8	Curves in isogeny class
deg	41472	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5+  0 -4 -2 -2 19-	Hecke eigenvalues for primes less than 20
L	4.4922415976153	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	81225z 5415k 75b	Quadratic twists by: -3 5 -19

Hecke Eigenvalues for isogeny class 27075g

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

---

Quadratic twists for isogeny class 27075g

-3	5	-19
81225z	5415k	75b

---

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