Elliptic curve isogeny class with LMFDB label 190575.fc (Cremona label 190575en)

• Label: 190575.fc
• Number of curves: $2$
• Conductor: $190575$
• CM: no
• Rank: $1$

Elliptic curves in class 190575.fc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
190575.fc1	190575en2	\([0, 0, 1, -4038375, 3139288281]\)	\(-2887553024/16807\)	\(-42393949521451171875\)	\([]\)	\(8100000\)	\(2.6072\)
190575.fc2	190575en1	\([0, 0, 1, 45375, -5199219]\)	\(4096/7\)	\(-17656788638671875\)	\([]\)	\(1620000\)	\(1.8024\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 190575.fc have rank \(1\).

Complex multiplication

The elliptic curves in class 190575.fc do not have complex multiplication.

Modular form 190575.2.a.fc

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.

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.