Cremona's table of elliptic curves

735 = 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	735	Conductor
Count	8	Number of curves in isogeny class
Curves	735e1 735e2 735e3 735e4 735e5 735e6 735e7 735e8	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	-1 3- 5+ 7- -4  2 -2 -4	Hecke eigenvalues for primes less than 20
L	1.6631875266486	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	11760bq 47040bl 2205j 3675e	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 735e

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 735e

-4	8	-3	5	-7	-11	13
11760bq	47040bl	2205j	3675e	15a	88935bp	124215cv

---

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