Elliptic curve isogeny class with Cremona label 11970bd (LMFDB label 11970.bh)

• Label: 11970bd
• Number of curves: $2$
• Conductor: $11970$
• CM: no
• Rank: $1$

Elliptic curves in class 11970bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11970.bh2	11970bd1	\([1, -1, 1, -23, -149]\)	\(-47832147/353780\)	\(-9552060\)	\([2]\)	\(2304\)	\(0.022414\)	\(\Gamma_0(N)\)-optimal
11970.bh1	11970bd2	\([1, -1, 1, -593, -5393]\)	\(852780481587/2280950\)	\(61585650\)	\([2]\)	\(4608\)	\(0.36899\)

Rank

The elliptic curves in class 11970bd have rank \(1\).

Complex multiplication

The elliptic curves in class 11970bd do not have complex multiplication.

Modular form 11970.2.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.