Elliptic curve isogeny class with Cremona label 112896dt (LMFDB label 112896.dj)

• Label: 112896dt
• Number of curves: $4$
• Conductor: $112896$
• CM: no
• Rank: $0$

Elliptic curves in class 112896dt

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
112896.dj3	112896dt1	$[0, 0, 0, -3234, -68600]$	$85184/3$	$131736761856$	$[2]$	$92160$	$0.90455$	$\Gamma_0(N)$-optimal
112896.dj4	112896dt2	$[0, 0, 0, 1176, -241472]$	$64/9$	$-25293458276352$	$[2]$	$184320$	$1.2511$
112896.dj1	112896dt3	$[0, 0, 0, -285474, 58707880]$	$58591911104/243$	$10670677710336$	$[2]$	$460800$	$1.7093$
112896.dj2	112896dt4	$[0, 0, 0, -281064, 60609472]$	$-873722816/59049$	$-165950379751145472$	$[2]$	$921600$	$2.0558$

Rank

The elliptic curves in class 112896dt have rank $0$.

Complex multiplication

The elliptic curves in class 112896dt do not have complex multiplication.

Modular form 112896.2.a.dt

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.