Elliptic curve isogeny class with LMFDB label 285.b (Cremona label 285b)

• Label: 285.b
• Number of curves: $2$
• Conductor: $285$
• CM: no
• Rank: $1$

Elliptic curves in class 285.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
285.b1	285b2	$[1, 1, 0, -93, -378]$	$90458382169/2671875$	$2671875$	$[2]$	$48$	$0.010340$
285.b2	285b1	$[1, 1, 0, 2, -17]$	$357911/135375$	$-135375$	$[2]$	$24$	$-0.33623$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 285.b have rank $1$.

Complex multiplication

The elliptic curves in class 285.b do not have complex multiplication.

Modular form 285.2.a.b

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.