Elliptic curve isogeny class with LMFDB label 110400.ii (Cremona label 110400dx)

• Label: 110400.ii
• Number of curves: $2$
• Conductor: $110400$
• CM: no
• Rank: $1$

Elliptic curves in class 110400.ii

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110400.ii1	110400dx2	\([0, 1, 0, -24833, -1509537]\)	\(413493625/1587\)	\(6500352000000\)	\([2]\)	\(294912\)	\(1.3170\)
110400.ii2	110400dx1	\([0, 1, 0, -833, -45537]\)	\(-15625/207\)	\(-847872000000\)	\([2]\)	\(147456\)	\(0.97047\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 110400.ii have rank \(1\).

Complex multiplication

The elliptic curves in class 110400.ii do not have complex multiplication.

Modular form 110400.2.a.ii

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.