Cremona's table of elliptic curves

15210 = 2 · 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Conductor	15210	Conductor
Count	4	Number of curves in isogeny class
Curves	15210e1 15210e2 15210e3 15210e4	Curves in isogeny class
deg	96768	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5-  4  0 13+ -6  4	Hecke eigenvalues for primes less than 20
L	2.3072016599751	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	121680cz 15210ba 76050dp 1170i	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for isogeny class 15210e

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

---

Quadratic twists for isogeny class 15210e

-4	-3	5	13
121680cz	15210ba	76050dp	1170i

---

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