Elliptic curve isogeny class with LMFDB label 245.c (Cremona label 245c)

• Label: 245.c
• Number of curves: $3$
• Conductor: $245$
• CM: no
• Rank: $1$

Elliptic curves in class 245.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
245.c1	245c3	$[0, -1, 1, -6435, 210006]$	$-250523582464/13671875$	$-1608482421875$	$[]$	$288$	$1.1004$
245.c2	245c1	$[0, -1, 1, -65, -204]$	$-262144/35$	$-4117715$	$[]$	$32$	$0.0018049$	$\Gamma_0(N)$-optimal
245.c3	245c2	$[0, -1, 1, 425, 433]$	$71991296/42875$	$-5044200875$	$[]$	$96$	$0.55111$

Rank

The elliptic curves in class 245.c have rank $1$.

Complex multiplication

The elliptic curves in class 245.c do not have complex multiplication.

Modular form 245.2.a.c

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.

$\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.