Elliptic curve isogeny class with LMFDB label 119952.ge (Cremona label 119952fm)

• Label: 119952.ge
• Number of curves: $2$
• Conductor: $119952$
• CM: no
• Rank: $0$

Elliptic curves in class 119952.ge

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
119952.ge1	119952fm2	\([0, 0, 0, -418656, 104321392]\)	\(-23100424192/14739\)	\(-5177781687988224\)	\([]\)	\(995328\)	\(1.9562\)
119952.ge2	119952fm1	\([0, 0, 0, 4704, 598192]\)	\(32768/459\)	\(-161245796511744\)	\([]\)	\(331776\)	\(1.4069\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 119952.ge have rank \(0\).

Complex multiplication

The elliptic curves in class 119952.ge do not have complex multiplication.

Modular form 119952.2.a.ge

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.