Elliptic curve isogeny class with Cremona label 377520v (LMFDB label 377520.v)

• Label: 377520v
• Number of curves: $4$
• Conductor: $377520$
• CM: no
• Rank: $0$

Elliptic curves in class 377520v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
377520.v4	377520v1	$[0, -1, 0, -13471, -225674]$	$9538484224/4712565$	$133577541823440$	$[2]$	$1228800$	$1.4036$	$\Gamma_0(N)$-optimal
377520.v2	377520v2	$[0, -1, 0, -115716, 15029280]$	$377843214544/4601025$	$2086655091206400$	$[2, 2]$	$2457600$	$1.7501$
377520.v1	377520v3	$[0, -1, 0, -1846016, 966002160]$	$383507853966436/57915$	$105062354242560$	$[2]$	$4915200$	$2.0967$
377520.v3	377520v4	$[0, -1, 0, -21336, 38737536]$	$-592143556/356874375$	$-647398118040960000$	$[2]$	$4915200$	$2.0967$

Rank

The elliptic curves in class 377520v have rank $0$.

Complex multiplication

The elliptic curves in class 377520v do not have complex multiplication.

Modular form 377520.2.a.v

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.