Elliptic curve isogeny class with Cremona label 110670a (LMFDB label 110670.d)

• Label: 110670a
• Number of curves: $4$
• Conductor: $110670$
• CM: no
• Rank: $0$

Elliptic curves in class 110670a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110670.d4	110670a1	$[1, 1, 0, -2005633, 86874613]$	$892233346660440794027929/513015324982609182720$	$513015324982609182720$	$[2]$	$6578176$	$2.6635$	$\Gamma_0(N)$-optimal
110670.d2	110670a2	$[1, 1, 0, -22977153, 42285767157]$	$1341567071464214185939392409/3566818114559646105600$	$3566818114559646105600$	$[2, 2]$	$13156352$	$3.0101$
110670.d3	110670a3	$[1, 1, 0, -14099073, 75331756533]$	$-309952709923399776210900889/2272556962862968508160000$	$-2272556962862968508160000$	$[2]$	$26312704$	$3.3567$
110670.d1	110670a4	$[1, 1, 0, -367399553, 2710388330997]$	$5484532125809566566005365594009/38922235338282670080$	$38922235338282670080$	$[2]$	$26312704$	$3.3567$

Rank

The elliptic curves in class 110670a have rank $0$.

Complex multiplication

The elliptic curves in class 110670a do not have complex multiplication.

Modular form 110670.2.a.a

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.