Elliptic curve isogeny class with Cremona label 100800iu (LMFDB label 100800.co)

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

Elliptic curves in class 100800iu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100800.co2	100800iu1	\([0, 0, 0, -600, -9000]\)	\(-55296/49\)	\(-21168000000\)	\([2]\)	\(65536\)	\(0.67842\)	\(\Gamma_0(N)\)-optimal
100800.co1	100800iu2	\([0, 0, 0, -11100, -450000]\)	\(21882096/7\)	\(48384000000\)	\([2]\)	\(131072\)	\(1.0250\)

Rank

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

Complex multiplication

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

Modular form 100800.2.a.iu

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.