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

• Label: 81225bi
• Number of curves: $2$
• Conductor: $81225$
• CM: no
• Rank: $1$

Elliptic curves in class 81225bi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
81225.bq2	81225bi1	$[0, 0, 1, 1597425, -887597469]$	$841232384/1121931$	$-601222614976840921875$	$[]$	$4838400$	$2.6729$	$\Gamma_0(N)$-optimal
81225.bq1	81225bi2	$[0, 0, 1, -356604825, -2591969158719]$	$-9358714467168256/22284891$	$-11942071697362732171875$	$[]$	$24192000$	$3.4777$

Rank

The elliptic curves in class 81225bi have rank $1$.

Complex multiplication

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

Modular form 81225.2.a.bi

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.

$\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.