Elliptic curve isogeny class with Cremona label 29120bg (LMFDB label 29120.o)

• Label: 29120bg
• Number of curves: $2$
• Conductor: $29120$
• CM: no
• Rank: $2$

Elliptic curves in class 29120bg

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
29120.o1	29120bg1	\([0, 1, 0, -1905, 28975]\)	\(46689225424/3901625\)	\(63924224000\)	\([2]\)	\(36864\)	\(0.81536\)	\(\Gamma_0(N)\)-optimal
29120.o2	29120bg2	\([0, 1, 0, 2015, 136383]\)	\(13799183324/129390625\)	\(-8479744000000\)	\([2]\)	\(73728\)	\(1.1619\)

Rank

The elliptic curves in class 29120bg have rank \(2\).

Complex multiplication

The elliptic curves in class 29120bg do not have complex multiplication.

Modular form 29120.2.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.

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

Isogeny graph

The vertices are labelled with Cremona labels.