Cremona's table of elliptic curves

225 = 3² · 5²

Field	Data	Notes
Atkin-Lehner	3- 5+	Signs for the Atkin-Lehner involutions
Conductor	225	Conductor
Count	8	Number of curves in isogeny class
Curves	225c1 225c2 225c3 225c4 225c5 225c6 225c7 225c8	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+  0  4  2  2  4	Hecke eigenvalues for primes less than 20
L	0.82429593904394	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	3600bf 14400y 75b 45a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 225c

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

---

Quadratic twists for isogeny class 225c

-4	8	-3	5	-7	-11	13	17	-19	-23
3600bf	14400y	75b	45a	11025z	27225bi	38025bc	65025bn	81225z	119025be

---

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