Elliptic curve isogeny class with LMFDB label 126150.da (Cremona label 126150cr)

• Label: 126150.da
• Number of curves: $2$
• Conductor: $126150$
• CM: no
• Rank: $1$

Elliptic curves in class 126150.da

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
126150.da1	126150cr2	\([1, 0, 0, -136894213, -618304310833]\)	\(-30526075007211889/103499257854\)	\(-961933941839868955218750\)	\([]\)	\(23049600\)	\(3.4660\)
126150.da2	126150cr1	\([1, 0, 0, -21463, 417917417]\)	\(-117649/8118144\)	\(-75450958975566000000\)	\([]\)	\(3292800\)	\(2.4931\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 126150.da have rank \(1\).

Complex multiplication

The elliptic curves in class 126150.da do not have complex multiplication.

Modular form 126150.2.a.da

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.