Elliptic curve isogeny class with Cremona label 100800ir (LMFDB label 100800.fr)

• Label: 100800ir
• Number of curves: $2$
• Conductor: $100800$
• CM: no
• Rank: $0$

Elliptic curves in class 100800ir

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100800.fr2	100800ir1	\([0, 0, 0, -5400, 243000]\)	\(-55296/49\)	\(-15431472000000\)	\([2]\)	\(196608\)	\(1.2277\)	\(\Gamma_0(N)\)-optimal
100800.fr1	100800ir2	\([0, 0, 0, -99900, 12150000]\)	\(21882096/7\)	\(35271936000000\)	\([2]\)	\(393216\)	\(1.5743\)

Rank

The elliptic curves in class 100800ir have rank \(0\).

Complex multiplication

The elliptic curves in class 100800ir do not have complex multiplication.

Modular form 100800.2.a.ir

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.