Elliptic curve isogeny class with LMFDB label 2268.c (Cremona label 2268c)

• Label: 2268.c
• Number of curves: $2$
• Conductor: $2268$
• CM: no
• Rank: $1$

Elliptic curves in class 2268.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2268.c1	2268c1	$[0, 0, 0, -45, 117]$	$-864000/7$	$-81648$	$[3]$	$216$	$-0.23004$	$\Gamma_0(N)$-optimal
2268.c2	2268c2	$[0, 0, 0, 135, 621]$	$288000/343$	$-324060912$	$[]$	$648$	$0.31927$

Rank

The elliptic curves in class 2268.c have rank $1$.

Complex multiplication

The elliptic curves in class 2268.c do not have complex multiplication.

Modular form 2268.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.