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	1872p	Isogeny class
Conductor	1872	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	851565312 = 28 · 39 · 132	Discriminant
Eigenvalues	2- 3-  0 -2  0 13-  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1335,18722]	[a1,a2,a3,a4,a6]
j	1409938000/4563	j-invariant
L	1.5890406766662	L(r)(E,1)/r!
Ω	1.5890406766662	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	468d2 7488bp2 624g2 46800de2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1872p2

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

---

Quadratic twists for elliptic curve 1872p2

-4	8	-3	5	-7	13
468d2	7488bp2	624g2	46800de2	91728ds2	24336bh2

---

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