Elliptic curve isogeny class with LMFDB label 1350.d (Cremona label 1350g)

• Label: 1350.d
• Number of curves: $2$
• Conductor: $1350$
• CM: no
• Rank: $0$

Elliptic curves in class 1350.d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1350.d1	1350g2	$[1, -1, 0, -35817, -2600659]$	$-16522921323/4000$	$-1230187500000$	$[]$	$4320$	$1.3087$
1350.d2	1350g1	$[1, -1, 0, 183, -12659]$	$1601613/163840$	$-69120000000$	$[]$	$1440$	$0.75935$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 1350.d have rank $0$.

Complex multiplication

The elliptic curves in class 1350.d do not have complex multiplication.

Modular form 1350.2.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 LMFDB numbering.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.