Cremona's table of elliptic curves

264 = 2³ · 3 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11-	Signs for the Atkin-Lehner involutions
Conductor	264	Conductor
Count	4	Number of curves in isogeny class
Curves	264b1 264b2 264b3 264b4	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2  0 11-  2  6  0	Hecke eigenvalues for primes less than 20
L	1.2769941916295	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	528d 2112m 792d 6600bb	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 264b

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
+	+	2	0	-	2	6	0	4	2	0	-10	6	-8	-4	-6	-12	2	4	12	-14	16	-12	10	-14

---

Quadratic twists for isogeny class 264b

-4	8	-3	5	-7	-11	13	17	-19
528d	2112m	792d	6600bb	12936j	2904k	44616m	76296e	95304v

---

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