Elliptic curve isogeny class with Cremona label 30800bd (LMFDB label 30800.cj)

• Label: 30800bd
• Number of curves: $2$
• Conductor: $30800$
• CM: no
• Rank: $0$

Elliptic curves in class 30800bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
30800.cj2	30800bd1	\([0, -1, 0, 1392, -76288]\)	\(4657463/41503\)	\(-2656192000000\)	\([2]\)	\(49152\)	\(1.0653\)	\(\Gamma_0(N)\)-optimal
30800.cj1	30800bd2	\([0, -1, 0, -20608, -1044288]\)	\(15124197817/1294139\)	\(82824896000000\)	\([2]\)	\(98304\)	\(1.4118\)

Rank

The elliptic curves in class 30800bd have rank \(0\).

Complex multiplication

The elliptic curves in class 30800bd do not have complex multiplication.

Modular form 30800.2.a.bd

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.