Elliptic curve isogeny class with LMFDB label 342225.bp (Cremona label 342225bp)

• Label: 342225.bp
• Number of curves: $2$
• Conductor: $342225$
• CM: no
• Rank: $1$

Elliptic curves in class 342225.bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
342225.bp1	342225bp2	\([0, 0, 1, -684450, -216885094]\)	\(884736/5\)	\(200403453263203125\)	\([]\)	\(3732480\)	\(2.1619\)
342225.bp2	342225bp1	\([0, 0, 1, -50700, 4188031]\)	\(2359296/125\)	\(763616267578125\)	\([]\)	\(1244160\)	\(1.6126\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 342225.bp have rank \(1\).

Complex multiplication

The elliptic curves in class 342225.bp do not have complex multiplication.

Modular form 342225.2.a.bp

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.