Cremona's table of elliptic curves

11025 = 3² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	11025	Conductor
Count	8	Number of curves in isogeny class
Curves	11025z1 11025z2 11025z3 11025z4 11025z5 11025z6 11025z7 11025z8	Curves in isogeny class
deg	18432	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+ 7-  4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	2.8626363414088	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3675e 2205j 225c	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for isogeny class 11025z

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	-	+	-	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 11025z

-3	5	-7
3675e	2205j	225c

---

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