Elliptic curve isogeny class with Cremona label 46818c (LMFDB label 46818.e)

• Label: 46818c
• Number of curves: $2$
• Conductor: $46818$
• CM: no
• Rank: $1$

Elliptic curves in class 46818c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46818.e1	46818c1	\([1, -1, 0, -1788, 32228]\)	\(-35937/4\)	\(-70385151204\)	\([]\)	\(60480\)	\(0.81880\)	\(\Gamma_0(N)\)-optimal
46818.e2	46818c2	\([1, -1, 0, 11217, -48403]\)	\(109503/64\)	\(-91219155960384\)	\([]\)	\(181440\)	\(1.3681\)

Rank

The elliptic curves in class 46818c have rank \(1\).

Complex multiplication

The elliptic curves in class 46818c do not have complex multiplication.

Modular form 46818.2.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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.