Elliptic curve isogeny class with Cremona label 23805t (LMFDB label 23805.s)

• Label: 23805t
• Number of curves: $8$
• Conductor: $23805$
• CM: no
• Rank: $0$

Elliptic curves in class 23805t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
23805.s7	23805t1	$[1, -1, 0, -99, 61240]$	$-1/15$	$-1618772446215$	$[2]$	$25344$	$1.0216$	$\Gamma_0(N)$-optimal
23805.s6	23805t2	$[1, -1, 0, -23904, 1408603]$	$13997521/225$	$24281586693225$	$[2, 2]$	$50688$	$1.3682$
23805.s5	23805t3	$[1, -1, 0, -47709, -1843160]$	$111284641/50625$	$5463357005975625$	$[2, 2]$	$101376$	$1.7148$
23805.s4	23805t4	$[1, -1, 0, -380979, 90605938]$	$56667352321/15$	$1618772446215$	$[2]$	$101376$	$1.7148$
23805.s8	23805t5	$[1, -1, 0, 166536, -13969427]$	$4733169839/3515625$	$-379399792081640625$	$[2]$	$202752$	$2.0613$
23805.s2	23805t6	$[1, -1, 0, -642834, -198115385]$	$272223782641/164025$	$17701276699361025$	$[2, 2]$	$202752$	$2.0613$
23805.s3	23805t7	$[1, -1, 0, -523809, -273839090]$	$-147281603041/215233605$	$-23227615284901537005$	$[2]$	$405504$	$2.4079$
23805.s1	23805t8	$[1, -1, 0, -10283859, -12690955580]$	$1114544804970241/405$	$43706856047805$	$[2]$	$405504$	$2.4079$

Rank

The elliptic curves in class 23805t have rank $0$.

Complex multiplication

The elliptic curves in class 23805t do not have complex multiplication.

Modular form 23805.2.a.t

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.

$\left(\begin{array}{rrrrrrrr} 1 & 2 & 4 & 4 & 8 & 8 & 16 & 16 \\ 2 & 1 & 2 & 2 & 4 & 4 & 8 & 8 \\ 4 & 2 & 1 & 4 & 2 & 2 & 4 & 4 \\ 4 & 2 & 4 & 1 & 8 & 8 & 16 & 16 \\ 8 & 4 & 2 & 8 & 1 & 4 & 8 & 8 \\ 8 & 4 & 2 & 8 & 4 & 1 & 2 & 2 \\ 16 & 8 & 4 & 16 & 8 & 2 & 1 & 4 \\ 16 & 8 & 4 & 16 & 8 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.