Elliptic curve isogeny class with LMFDB label 121968.bd (Cremona label 121968h)

• Label: 121968.bd
• Number of curves: $2$
• Conductor: $121968$
• CM: no
• Rank: $0$

Elliptic curves in class 121968.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
121968.bd1	121968h2	\([0, 0, 0, -13431, 598950]\)	\(21882096/7\)	\(85715207424\)	\([2]\)	\(179200\)	\(1.0726\)
121968.bd2	121968h1	\([0, 0, 0, -726, 11979]\)	\(-55296/49\)	\(-37500403248\)	\([2]\)	\(89600\)	\(0.72608\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 121968.bd have rank \(0\).

Complex multiplication

The elliptic curves in class 121968.bd do not have complex multiplication.

Modular form 121968.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.