Cremona's table of elliptic curves

205 = 5 · 41

Field	Data	Notes
Atkin-Lehner	5- 41-	Signs for the Atkin-Lehner involutions
Conductor	205	Conductor
Count	4	Number of curves in isogeny class
Curves	205a1 205a2 205a3 205a4	Curves in isogeny class
deg	12	Modular degree for the optimal curve
Eigenvalues	-1  0 5- -4  0 -2 -6  0	Hecke eigenvalues for primes less than 20
L	0.98123969640841	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3280m 13120l 1845c 1025b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 205a

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

---

Quadratic twists for isogeny class 205a

-4	8	-3	5	-7	-11	13	17	-19	-23	41
3280m	13120l	1845c	1025b	10045d	24805c	34645b	59245a	74005p	108445e	8405c

---

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