Elliptic curve isogeny class with Cremona label 14896bg (LMFDB label 14896.a)

• Label: 14896bg
• Number of curves: $3$
• Conductor: $14896$
• CM: no
• Rank: $0$

Elliptic curves in class 14896bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
14896.a3	14896bg1	\([0, 1, 0, 523, -29]\)	\(32768/19\)	\(-9155915776\)	\([]\)	\(9072\)	\(0.60093\)	\(\Gamma_0(N)\)-optimal
14896.a2	14896bg2	\([0, 1, 0, -7317, -258749]\)	\(-89915392/6859\)	\(-3305285595136\)	\([]\)	\(27216\)	\(1.1502\)
14896.a1	14896bg3	\([0, 1, 0, -603157, -180500349]\)	\(-50357871050752/19\)	\(-9155915776\)	\([]\)	\(81648\)	\(1.6995\)

Rank

The elliptic curves in class 14896bg have rank \(0\).

Complex multiplication

The elliptic curves in class 14896bg do not have complex multiplication.

Modular form 14896.2.a.bg

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.

\(\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.