Elliptic curve isogeny class with Cremona label 148800ew (LMFDB label 148800.cq)

• Label: 148800ew
• Number of curves: $4$
• Conductor: $148800$
• CM: no
• Rank: $1$

Elliptic curves in class 148800ew

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
148800.cq4	148800ew1	$[0, -1, 0, 5967, -270063]$	$91765424/174375$	$-44640000000000$	$[2]$	$294912$	$1.3038$	$\Gamma_0(N)$-optimal
148800.cq3	148800ew2	$[0, -1, 0, -44033, -2820063]$	$9220796644/1946025$	$1992729600000000$	$[2, 2]$	$589824$	$1.6503$
148800.cq2	148800ew3	$[0, -1, 0, -224033, 38399937]$	$607199886722/41558445$	$85111695360000000$	$[4]$	$1179648$	$1.9969$
148800.cq1	148800ew4	$[0, -1, 0, -664033, -208040063]$	$15811147933922/1016955$	$2082723840000000$	$[2]$	$1179648$	$1.9969$

Rank

The elliptic curves in class 148800ew have rank $1$.

Complex multiplication

The elliptic curves in class 148800ew do not have complex multiplication.

Modular form 148800.2.a.ew

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.