Elliptic curve isogeny class with Cremona label 238050ft (LMFDB label 238050.ft)

• Label: 238050ft
• Number of curves: $2$
• Conductor: $238050$
• CM: no
• Rank: $1$

Elliptic curves in class 238050ft

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
238050.ft2	238050ft1	\([1, -1, 1, -4525430, -2995705303]\)	\(243135625/48668\)	\(2051625453447698437500\)	\([]\)	\(9123840\)	\(2.8055\)	\(\Gamma_0(N)\)-optimal
238050.ft1	238050ft2	\([1, -1, 1, -346722305, -2484881200303]\)	\(109348914285625/1472\)	\(62052943771575000000\)	\([]\)	\(27371520\)	\(3.3548\)

Rank

The elliptic curves in class 238050ft have rank \(1\).

Complex multiplication

The elliptic curves in class 238050ft do not have complex multiplication.

Modular form 238050.2.a.ft

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.