Elliptic curve isogeny class with LMFDB label 23850.df (Cremona label 23850ck)

• Label: 23850.df
• Number of curves: $2$
• Conductor: $23850$
• CM: no
• Rank: $1$

Elliptic curves in class 23850.df

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
23850.df1	23850ck2	\([1, -1, 1, -5535680, 5014462947]\)	\(-1646982616152408625/38112512\)	\(-434125332000000\)	\([]\)	\(622080\)	\(2.3314\)
23850.df2	23850ck1	\([1, -1, 1, -63680, 7870947]\)	\(-2507141976625/889192448\)	\(-10128457728000000\)	\([]\)	\(207360\)	\(1.7821\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 23850.df have rank \(1\).

Complex multiplication

The elliptic curves in class 23850.df do not have complex multiplication.

Modular form 23850.2.a.df

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.