Cremona's table of elliptic curves

7735 = 5 · 7 · 13 · 17

Field	Data	Notes
Atkin-Lehner	5+ 7+ 13- 17-	Signs for the Atkin-Lehner involutions
Conductor	7735	Conductor
Count	4	Number of curves in isogeny class
Curves	7735c1 7735c2 7735c3 7735c4	Curves in isogeny class
deg	8192	Modular degree for the optimal curve
Eigenvalues	-1  0 5+ 7+ -4 13- 17-  4	Hecke eigenvalues for primes less than 20
L	1.9216295083991	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	123760bh 69615t 38675h 54145s	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 7735c

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

---

Quadratic twists for isogeny class 7735c

-4	-3	5	-7	13
123760bh	69615t	38675h	54145s	100555q

---

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