Cremona's table of elliptic curves

15 = 3 · 5

Field	Data	Notes
Atkin-Lehner	3+ 5-	Signs for the Atkin-Lehner involutions
Conductor	15	Conductor
Count	8	Number of curves in isogeny class
Curves	15a1 15a2 15a3 15a4 15a5 15a6 15a7 15a8	Curves in isogeny class
deg	1	Modular degree for the optimal curve
Eigenvalues	-1 3+ 5-  0 -4 -2  2  4	Hecke eigenvalues for primes less than 20
L	0.35015076058315	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	240d 960g 45a 75b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 15a

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	-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 15a

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73	-79	-83	89
240d	960g	45a	75b	735e	1815a	2535a	4335d	5415k	7935b	12615f	14415g	20535a	25215h	27735g	33135a	42135f	52215d	55815c	67335g	75615e	79935a	93615n	103335d	118815c

---

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