Elliptic curve isogeny class with LMFDB label 221952.bi (Cremona label 221952ba)

• Label: 221952.bi
• Number of curves: $4$
• Conductor: $221952$
• CM: no
• Rank: $0$

Elliptic curves in class 221952.bi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
221952.bi1	221952ba4	$[0, 1, 0, -748317, -249407685]$	$58591911104/243$	$192198386221056$	$[2]$	$1638400$	$1.9502$
221952.bi2	221952ba3	$[0, 1, 0, -46047, -4034547]$	$-873722816/59049$	$-729753247683072$	$[2]$	$819200$	$1.6036$
221952.bi3	221952ba2	$[0, 1, 0, -8477, 288315]$	$85184/3$	$2372819582976$	$[2]$	$327680$	$1.1455$
221952.bi4	221952ba1	$[0, 1, 0, 193, 16077]$	$64/9$	$-111225917952$	$[2]$	$163840$	$0.79889$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 221952.bi have rank $0$.

Complex multiplication

The elliptic curves in class 221952.bi do not have complex multiplication.

Modular form 221952.2.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 LMFDB numbering.

$\left(\begin{array}{rrrr} 1 & 2 & 5 & 10 \\ 2 & 1 & 10 & 5 \\ 5 & 10 & 1 & 2 \\ 10 & 5 & 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.