Elliptic curve isogeny class with LMFDB label 118580.i (Cremona label 118580h)

• Label: 118580.i
• Number of curves: $2$
• Conductor: $118580$
• CM: no
• Rank: $0$

Elliptic curves in class 118580.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
118580.i1	118580h2	\([0, -1, 0, -4774821, -4014343199]\)	\(-225637236736/1715\)	\(-91505761754274560\)	\([]\)	\(2332800\)	\(2.4295\)
118580.i2	118580h1	\([0, -1, 0, -31621, -10608079]\)	\(-65536/875\)	\(-46686613139936000\)	\([]\)	\(777600\)	\(1.8801\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 118580.i have rank \(0\).

Complex multiplication

The elliptic curves in class 118580.i do not have complex multiplication.

Modular form 118580.2.a.i

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.