Elliptic curve isogeny class with LMFDB label 40080.o (Cremona label 40080w)

• Label: 40080.o
• Number of curves: $2$
• Conductor: $40080$
• CM: no
• Rank: $0$

Elliptic curves in class 40080.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
40080.o1	40080w2	\([0, -1, 0, -6088480, 5872896640]\)	\(-6093832136609347161121/108676727597808690\)	\(-445139876240624394240\)	\([]\)	\(1580544\)	\(2.7588\)
40080.o2	40080w1	\([0, -1, 0, -23680, -6041600]\)	\(-358531401121921/3652290000000\)	\(-14959779840000000\)	\([]\)	\(225792\)	\(1.7859\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 40080.o have rank \(0\).

Complex multiplication

The elliptic curves in class 40080.o do not have complex multiplication.

Modular form 40080.2.a.o

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.