Cremona's table of elliptic curves

605 = 5 · 11²

Field	Data	Notes
Atkin-Lehner	5- 11-	Signs for the Atkin-Lehner involutions
Conductor	605	Conductor
Count	4	Number of curves in isogeny class
Curves	605b1 605b2 605b3 605b4	Curves in isogeny class
deg	120	Modular degree for the optimal curve
Eigenvalues	-1  0 5-  0 11- -2 -6  4	Hecke eigenvalues for primes less than 20
L	1.463218542434	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	9680w 38720c 5445e 3025b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 605b

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

---

Quadratic twists for isogeny class 605b

-4	8	-3	5	-7	-11	13
9680w	38720c	5445e	3025b	29645h	55a	102245b

---

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