Elliptic curve isogeny class with LMFDB label 110670.e (Cremona label 110670f)

• Label: 110670.e
• Number of curves: $2$
• Conductor: $110670$
• CM: no
• Rank: $1$

Elliptic curves in class 110670.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110670.e1	110670f2	\([1, 1, 0, -9599883258, 362028067960212]\)	\(97841154212352882174458487372245929/56520417771505800000000\)	\(56520417771505800000000\)	\([2]\)	\(92897280\)	\(4.1258\)
110670.e2	110670f1	\([1, 1, 0, -599883258, 5658667960212]\)	\(-23873931185246978974311372245929/18155634840000000000000000\)	\(-18155634840000000000000000\)	\([2]\)	\(46448640\)	\(3.7792\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 110670.e have rank \(1\).

Complex multiplication

The elliptic curves in class 110670.e do not have complex multiplication.

Modular form 110670.2.a.e

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.