Elliptic curve isogeny class with LMFDB label 96192.a (Cremona label 96192bb)

• Label: 96192.a
• Number of curves: $2$
• Conductor: $96192$
• CM: no
• Rank: $2$

Elliptic curves in class 96192.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
96192.a1	96192bb2	\([0, 0, 0, -7212, -136240]\)	\(217081801/83667\)	\(15989012692992\)	\([2]\)	\(376832\)	\(1.2326\)
96192.a2	96192bb1	\([0, 0, 0, 1428, -15280]\)	\(1685159/1503\)	\(-287227772928\)	\([2]\)	\(188416\)	\(0.88604\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 96192.a have rank \(2\).

Complex multiplication

The elliptic curves in class 96192.a do not have complex multiplication.

Modular form 96192.2.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.