Cremona's table of elliptic curves

147 = 3 · 7²

Field	Data	Notes
Atkin-Lehner	3+ 7-	Signs for the Atkin-Lehner involutions
Conductor	147	Conductor
Count	6	Number of curves in isogeny class
Curves	147a1 147a2 147a3 147a4 147a5 147a6	Curves in isogeny class
deg	24	Modular degree for the optimal curve
Eigenvalues	-1 3+  2 7-  4  2  6 -4	Hecke eigenvalues for primes less than 20
L	0.72228624540788	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2352v 9408bj 441c 3675j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 147a

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	+	2	-	4	2	6	-4	0	-2	0	6	-2	-4	0	6	-12	2	4	0	6	-16	12	14	-18

---

Quadratic twists for isogeny class 147a

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2352v	9408bj	441c	3675j	21a	17787h	24843d	42483v	53067q	77763l	123627r

---

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