Elliptic curve isogeny class with Cremona label 81225bq (LMFDB label 81225.n)

• Label: 81225bq
• Number of curves: $2$
• Conductor: $81225$
• CM: no
• Rank: $0$

Elliptic curves in class 81225bq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
81225.n2	81225bq1	\([1, -1, 1, 1015, 433792]\)	\(27/19\)	\(-81454062216375\)	\([2]\)	\(184320\)	\(1.3483\)	\(\Gamma_0(N)\)-optimal
81225.n1	81225bq2	\([1, -1, 1, -80210, 8556292]\)	\(13312053/361\)	\(1547627182111125\)	\([2]\)	\(368640\)	\(1.6949\)

Rank

The elliptic curves in class 81225bq have rank \(0\).

Complex multiplication

The elliptic curves in class 81225bq do not have complex multiplication.

Modular form 81225.2.a.bq

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.