Elliptic curve isogeny class with LMFDB label 18928.n (Cremona label 18928b)

• Label: 18928.n
• Number of curves: $4$
• Conductor: $18928$
• CM: no
• Rank: $1$

Elliptic curves in class 18928.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18928.n1	18928b3	\([0, 0, 0, -50531, -4372030]\)	\(1443468546/7\)	\(69197133824\)	\([2]\)	\(36864\)	\(1.2804\)
18928.n2	18928b4	\([0, 0, 0, -9971, 303186]\)	\(11090466/2401\)	\(23734616901632\)	\([2]\)	\(36864\)	\(1.2804\)
18928.n3	18928b2	\([0, 0, 0, -3211, -65910]\)	\(740772/49\)	\(242189968384\)	\([2, 2]\)	\(18432\)	\(0.93387\)
18928.n4	18928b1	\([0, 0, 0, 169, -4394]\)	\(432/7\)	\(-8649641728\)	\([2]\)	\(9216\)	\(0.58729\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 18928.n have rank \(1\).

Complex multiplication

The elliptic curves in class 18928.n do not have complex multiplication.

Modular form 18928.2.a.n

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.