Elliptic curve isogeny class with Cremona label 880b (LMFDB label 880.f)

• Label: 880b
• Number of curves: $2$
• Conductor: $880$
• CM: no
• Rank: $0$

Elliptic curves in class 880b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
880.f1	880b1	\([0, 0, 0, -38, 87]\)	\(379275264/15125\)	\(242000\)	\([2]\)	\(96\)	\(-0.20043\)	\(\Gamma_0(N)\)-optimal
880.f2	880b2	\([0, 0, 0, 17, 318]\)	\(2122416/171875\)	\(-44000000\)	\([2]\)	\(192\)	\(0.14615\)

Rank

The elliptic curves in class 880b have rank \(0\).

Complex multiplication

The elliptic curves in class 880b do not have complex multiplication.

Modular form 880.2.a.b

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.