Elliptic curve isogeny class with LMFDB label 100023.c (Cremona label 100023b)

• Label: 100023.c
• Number of curves: $2$
• Conductor: $100023$
• CM: no
• Rank: $2$

Elliptic curves in class 100023.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100023.c1	100023b1	\([1, 0, 0, -343, -1312]\)	\(4463599344625/1871530353\)	\(1871530353\)	\([2]\)	\(43008\)	\(0.47616\)	\(\Gamma_0(N)\)-optimal
100023.c2	100023b2	\([1, 0, 0, 1142, -9331]\)	\(164701765793375/133697843433\)	\(-133697843433\)	\([2]\)	\(86016\)	\(0.82273\)

Rank

The elliptic curves in class 100023.c have rank \(2\).

Complex multiplication

The elliptic curves in class 100023.c do not have complex multiplication.

Modular form 100023.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.