Elliptic curve isogeny class with LMFDB label 6050.bl (Cremona label 6050be)

• Label: 6050.bl
• Number of curves: $2$
• Conductor: $6050$
• CM: no
• Rank: $1$

Elliptic curves in class 6050.bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6050.bl1	6050be2	\([1, 1, 1, -157363, -24744719]\)	\(-128667913/4096\)	\(-13718968384000000\)	\([]\)	\(57024\)	\(1.8725\)
6050.bl2	6050be1	\([1, 1, 1, 9012, -121219]\)	\(24167/16\)	\(-53589720250000\)	\([]\)	\(19008\)	\(1.3232\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 6050.bl have rank \(1\).

Complex multiplication

The elliptic curves in class 6050.bl do not have complex multiplication.

Modular form 6050.2.a.bl

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.