Elliptic curve isogeny class with LMFDB label 185150.e (Cremona label 185150by)

• Label: 185150.e
• Number of curves: $2$
• Conductor: $185150$
• CM: no
• Rank: $0$

Elliptic curves in class 185150.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
185150.e1	185150by2	\([1, 1, 0, -1240780, -532485340]\)	\(107906079985/1372\)	\(2686066795138300\)	\([]\)	\(2384640\)	\(2.1065\)
185150.e2	185150by1	\([1, 1, 0, -24080, 185920]\)	\(788785/448\)	\(877083035147200\)	\([]\)	\(794880\)	\(1.5572\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 185150.e have rank \(0\).

Complex multiplication

The elliptic curves in class 185150.e do not have complex multiplication.

Modular form 185150.2.a.e

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.