Elliptic curve isogeny class with LMFDB label 735.e (Cremona label 735d)

• Label: 735.e
• Number of curves: $2$
• Conductor: $735$
• CM: no
• Rank: $0$

Elliptic curves in class 735.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
735.e1	735d2	$[0, 1, 1, -10061, -392605]$	$-19539165184/46875$	$-270225046875$	$[]$	$1008$	$1.0729$
735.e2	735d1	$[0, 1, 1, 229, -2614]$	$229376/675$	$-3891240675$	$[3]$	$336$	$0.52357$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 735.e have rank $0$.

Complex multiplication

The elliptic curves in class 735.e do not have complex multiplication.

Modular form 735.2.a.e

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.