Elliptic curve isogeny class with Cremona label 363888ee (LMFDB label 363888.ee)

• Label: 363888ee
• Number of curves: $2$
• Conductor: $363888$
• CM: no
• Rank: $1$

Elliptic curves in class 363888ee

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
363888.ee2	363888ee1	\([0, 0, 0, -19494, -1666737]\)	\(-55296/49\)	\(-725987195366832\)	\([2]\)	\(1327104\)	\(1.5487\)	\(\Gamma_0(N)\)-optimal
363888.ee1	363888ee2	\([0, 0, 0, -360639, -83336850]\)	\(21882096/7\)	\(1659399303695616\)	\([2]\)	\(2654208\)	\(1.8952\)

Rank

The elliptic curves in class 363888ee have rank \(1\).

Complex multiplication

The elliptic curves in class 363888ee do not have complex multiplication.

Modular form 363888.2.a.ee

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.