Cremona's table of elliptic curves

1872 = 2⁴ · 3² · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 13-	Signs for the Atkin-Lehner involutions
Class	1872h	Isogeny class
Conductor	1872	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	63670883328 = 210 · 314 · 13	Discriminant
Eigenvalues	2+ 3-  2 -4  0 13- -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2739,-53822]	[a1,a2,a3,a4,a6]
Generators	[-31:36:1]	Generators of the group modulo torsion
j	3044193988/85293	j-invariant
L	3.0177014042468	L(r)(E,1)/r!
Ω	0.6610661842014	Real period
R	1.1412251437019	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	936i3 7488bu3 624f3 46800w4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1872h3

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
+	-	2	-4	0	-	-2	-8	8	2	-4	-10	-2	4	-12	-6	0	-2	-8	-12	10	8	0	14	2

---

Quadratic twists for elliptic curve 1872h3

-4	8	-3	5	-7	13
936i3	7488bu3	624f3	46800w4	91728z4	24336l4

---

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