Elliptic curve isogeny class with LMFDB label 103428.w (Cremona label 103428bb)

• Label: 103428.w
• Number of curves: $2$
• Conductor: $103428$
• CM: no
• Rank: $0$

Elliptic curves in class 103428.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
103428.w1	103428bb1	$[0, 0, 0, -421824, -66461447]$	$67108864/23409$	$2895479825994304848$	$[2]$	$1437696$	$2.2440$	$\Gamma_0(N)$-optimal
103428.w2	103428bb2	$[0, 0, 0, 1258881, -464116250]$	$111485936/111537$	$-220737756146389357824$	$[2]$	$2875392$	$2.5905$

Rank

The elliptic curves in class 103428.w have rank $0$.

Complex multiplication

The elliptic curves in class 103428.w do not have complex multiplication.

Modular form 103428.2.a.w

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.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.