Elliptic curve isogeny class with LMFDB label 32490.bp (Cremona label 32490bg)

• Label: 32490.bp
• Number of curves: $2$
• Conductor: $32490$
• CM: no
• Rank: $0$

Elliptic curves in class 32490.bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
32490.bp1	32490bg2	\([1, -1, 1, -144107, -11660069]\)	\(260549802603/104256800\)	\(132431031168501600\)	\([2]\)	\(460800\)	\(1.9835\)
32490.bp2	32490bg1	\([1, -1, 1, 29173, -1332581]\)	\(2161700757/1848320\)	\(-2347807754787840\)	\([2]\)	\(230400\)	\(1.6369\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 32490.bp have rank \(0\).

Complex multiplication

The elliptic curves in class 32490.bp do not have complex multiplication.

Modular form 32490.2.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.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.