Elliptic curve isogeny class with LMFDB label 96330.i (Cremona label 96330a)

• Label: 96330.i
• Number of curves: $4$
• Conductor: $96330$
• CM: no
• Rank: $1$

Elliptic curves in class 96330.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
96330.i1	96330a4	\([1, 1, 0, -5093663, 4422098517]\)	\(3027989442753063361/457426710000\)	\(2207911360668390000\)	\([2]\)	\(4128768\)	\(2.5327\)
96330.i2	96330a2	\([1, 1, 0, -348143, 55271013]\)	\(966804247131841/284643590400\)	\(1373920243935033600\)	\([2, 2]\)	\(2064384\)	\(2.1862\)
96330.i3	96330a1	\([1, 1, 0, -131823, -17801883]\)	\(52485860157121/2185297920\)	\(10548015667937280\)	\([2]\)	\(1032192\)	\(1.8396\)	\(\Gamma_0(N)\)-optimal
96330.i4	96330a3	\([1, 1, 0, 936257, 369435253]\)	\(18803907527146559/23071299329520\)	\(-111360755245421101680\)	\([2]\)	\(4128768\)	\(2.5327\)

Rank

The elliptic curves in class 96330.i have rank \(1\).

Complex multiplication

The elliptic curves in class 96330.i do not have complex multiplication.

Modular form 96330.2.a.i

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.