Elliptic curve isogeny class with LMFDB label 175.c (Cremona label 175c)

• Label: 175.c
• Number of curves: $2$
• Conductor: $175$
• CM: no
• Rank: $0$

Elliptic curves in class 175.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
175.c1	175c2	$[0, 1, 1, -3708, 86119]$	$-2887553024/16807$	$-32826171875$	$[]$	$200$	$0.85891$
175.c2	175c1	$[0, 1, 1, 42, -131]$	$4096/7$	$-13671875$	$[]$	$40$	$0.054193$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 175.c have rank $0$.

Complex multiplication

The elliptic curves in class 175.c do not have complex multiplication.

Modular form 175.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.