Elliptic curve isogeny class with Cremona label 390d (LMFDB label 390.d)

• Label: 390d
• Number of curves: $4$
• Conductor: $390$
• CM: no
• Rank: $0$

Elliptic curves in class 390d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
390.d4	390d1	$[1, 0, 1, 3997, 3998]$	$7064514799444439/4094064000000$	$-4094064000000$	$[6]$	$720$	$1.1095$	$\Gamma_0(N)$-optimal
390.d3	390d2	$[1, 0, 1, -16003, 27998]$	$453198971846635561/261896250564000$	$261896250564000$	$[6]$	$1440$	$1.4561$
390.d2	390d3	$[1, 0, 1, -53378, -5124652]$	$-16818951115904497561/1592332281446400$	$-1592332281446400$	$[2]$	$2160$	$1.6588$
390.d1	390d4	$[1, 0, 1, -872578, -313799212]$	$73474353581350183614361/576510977802240$	$576510977802240$	$[2]$	$4320$	$2.0054$

Rank

The elliptic curves in class 390d have rank $0$.

Complex multiplication

The elliptic curves in class 390d do not have complex multiplication.

Modular form 390.2.a.d

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.

$\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.