Elliptic curve isogeny class with LMFDB label 300.a (Cremona label 300d)

• Label: 300.a
• Number of curves: $2$
• Conductor: $300$
• CM: no
• Rank: $1$

Elliptic curves in class 300.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
300.a1	300d1	$[0, -1, 0, -13, 22]$	$131072/9$	$18000$	$[2]$	$24$	$-0.43525$	$\Gamma_0(N)$-optimal
300.a2	300d2	$[0, -1, 0, 12, 72]$	$5488/81$	$-2592000$	$[2]$	$48$	$-0.088679$

Rank

The elliptic curves in class 300.a have rank $1$.

Complex multiplication

The elliptic curves in class 300.a do not have complex multiplication.

Modular form 300.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.