Elliptic curve isogeny class with Cremona label 147175a (LMFDB label 147175.b)

• Label: 147175a
• Number of curves: $2$
• Conductor: $147175$
• CM: no
• Rank: $0$

Elliptic curves in class 147175a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
147175.b2	147175a1	$[0, -1, 1, 35042, -3540182]$	$4096/7$	$-8132350091796875$	$[]$	$980000$	$1.7378$	$\Gamma_0(N)$-optimal
147175.b1	147175a2	$[0, -1, 1, -3118708, 2131548568]$	$-2887553024/16807$	$-19525772570404296875$	$[]$	$4900000$	$2.5426$

Rank

The elliptic curves in class 147175a have rank $0$.

Complex multiplication

The elliptic curves in class 147175a do not have complex multiplication.

Modular form 147175.2.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 Cremona numbering.

$\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.