Elliptic curve isogeny class with Cremona label 38025bm (LMFDB label 38025.n)

• Label: 38025bm
• Number of curves: $4$
• Conductor: $38025$
• CM: no
• Rank: $0$

Elliptic curves in class 38025bm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
38025.n4	38025bm1	\([1, -1, 1, 18220, 2012222]\)	\(12167/39\)	\(-2144234479359375\)	\([2]\)	\(172032\)	\(1.6250\)	\(\Gamma_0(N)\)-optimal
38025.n3	38025bm2	\([1, -1, 1, -171905, 23686472]\)	\(10218313/1521\)	\(83625144695015625\)	\([2, 2]\)	\(344064\)	\(1.9716\)
38025.n2	38025bm3	\([1, -1, 1, -742280, -222715528]\)	\(822656953/85683\)	\(4710883151152546875\)	\([2]\)	\(688128\)	\(2.3181\)
38025.n1	38025bm4	\([1, -1, 1, -2643530, 1654958972]\)	\(37159393753/1053\)	\(57894330942703125\)	\([2]\)	\(688128\)	\(2.3181\)

Rank

The elliptic curves in class 38025bm have rank \(0\).

Complex multiplication

The elliptic curves in class 38025bm do not have complex multiplication.

Modular form 38025.2.a.bm

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.