Elliptic curve isogeny class with LMFDB label 18496.a (Cremona label 18496h)

• Label: 18496.a
• Number of curves: $2$
• Conductor: $18496$
• CM: no
• Rank: $1$

Elliptic curves in class 18496.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18496.a1	18496h1	\([0, 1, 0, -5009, 53647]\)	\(35152/17\)	\(6722988818432\)	\([2]\)	\(36864\)	\(1.1550\)	\(\Gamma_0(N)\)-optimal
18496.a2	18496h2	\([0, 1, 0, 18111, 428191]\)	\(415292/289\)	\(-457163239653376\)	\([2]\)	\(73728\)	\(1.5016\)

Rank

The elliptic curves in class 18496.a have rank \(1\).

Complex multiplication

The elliptic curves in class 18496.a do not have complex multiplication.

Modular form 18496.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.