Elliptic curve isogeny class with LMFDB label 408980.bh (Cremona label 408980bh)

• Label: 408980.bh
• Number of curves: $2$
• Conductor: $408980$
• CM: no
• Rank: $0$

Elliptic curves in class 408980.bh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
408980.bh1	408980bh2	\([0, 1, 0, -8922580, -10265207900]\)	\(-296587984/125\)	\(-33109420033303328000\)	\([]\)	\(10948608\)	\(2.7067\)
408980.bh2	408980bh1	\([0, 1, 0, 74980, -54776812]\)	\(176/5\)	\(-1324376801332133120\)	\([]\)	\(3649536\)	\(2.1574\)	\(\Gamma_0(N)\)-optimal^*

^*optimality has not been determined rigorously for conductors over 400000. In this case the optimal curve is certainly one of the 0 curves highlighted, and conditionally curve 408980.bh1.

Rank

The elliptic curves in class 408980.bh have rank \(0\).

Complex multiplication

The elliptic curves in class 408980.bh do not have complex multiplication.

Modular form 408980.2.a.bh

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.