Elliptic curve isogeny class with LMFDB label 68400.o (Cremona label 68400dc)

• Label: 68400.o
• Number of curves: $2$
• Conductor: $68400$
• CM: no
• Rank: $0$

Elliptic curves in class 68400.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
68400.o1	68400dc2	\([0, 0, 0, -51555, -4505150]\)	\(81202348906/9747\)	\(1819024128000\)	\([2]\)	\(270336\)	\(1.3772\)
68400.o2	68400dc1	\([0, 0, 0, -2955, -82550]\)	\(-30581492/13851\)	\(-1292464512000\)	\([2]\)	\(135168\)	\(1.0306\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 68400.o have rank \(0\).

Complex multiplication

The elliptic curves in class 68400.o do not have complex multiplication.

Modular form 68400.2.a.o

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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.