Elliptic curve isogeny class with LMFDB label 151725.cx (Cremona label 151725cj)

• Label: 151725.cx
• Number of curves: $4$
• Conductor: $151725$
• CM: no
• Rank: $1$

Elliptic curves in class 151725.cx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
151725.cx1	151725cj3	\([1, 0, 1, -12181501, 16362653273]\)	\(530044731605089/26309115\)	\(9922469978772421875\)	\([2]\)	\(7077888\)	\(2.7165\)
151725.cx2	151725cj4	\([1, 0, 1, -3872751, -2727241727]\)	\(17032120495489/1339001685\)	\(505003836918808828125\)	\([2]\)	\(7077888\)	\(2.7165\)
151725.cx3	151725cj2	\([1, 0, 1, -802126, 226699523]\)	\(151334226289/28676025\)	\(10815148938800390625\)	\([2, 2]\)	\(3538944\)	\(2.3699\)
151725.cx4	151725cj1	\([1, 0, 1, 100999, 20787023]\)	\(302111711/669375\)	\(-252454457021484375\)	\([2]\)	\(1769472\)	\(2.0233\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 151725.cx have rank \(1\).

Complex multiplication

The elliptic curves in class 151725.cx do not have complex multiplication.

Modular form 151725.2.a.cx

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.