Elliptic curve isogeny class with Cremona label 12600bo (LMFDB label 12600.ch)

• Label: 12600bo
• Number of curves: $2$
• Conductor: $12600$
• CM: no
• Rank: $1$

Elliptic curves in class 12600bo

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12600.ch1	12600bo1	\([0, 0, 0, -675, -3250]\)	\(78732/35\)	\(15120000000\)	\([2]\)	\(9216\)	\(0.64886\)	\(\Gamma_0(N)\)-optimal
12600.ch2	12600bo2	\([0, 0, 0, 2325, -24250]\)	\(1608714/1225\)	\(-1058400000000\)	\([2]\)	\(18432\)	\(0.99543\)

Rank

The elliptic curves in class 12600bo have rank \(1\).

Complex multiplication

The elliptic curves in class 12600bo do not have complex multiplication.

Modular form 12600.2.a.bo

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.