Elliptic curve isogeny class with LMFDB label 337590.o (Cremona label 337590o)

• Label: 337590.o
• Number of curves: $2$
• Conductor: $337590$
• CM: no
• Rank: $0$

Elliptic curves in class 337590.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
337590.o1	337590o2	\([1, -1, 0, -40774905, 93498321901]\)	\(5805223604235668521/435937500000000\)	\(562999317735937500000000\)	\([2]\)	\(55050240\)	\(3.3026\)
337590.o2	337590o1	\([1, -1, 0, 2436615, 6478962925]\)	\(1238798620042199/14760960000000\)	\(-19063307031690240000000\)	\([2]\)	\(27525120\)	\(2.9561\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 337590.o have rank \(0\).

Complex multiplication

The elliptic curves in class 337590.o do not have complex multiplication.

Modular form 337590.2.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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.