Elliptic curve isogeny class with LMFDB label 270400.ed (Cremona label 270400ed)

• Label: 270400.ed
• Number of curves: $2$
• Conductor: $270400$
• CM: no
• Rank: $0$

Elliptic curves in class 270400.ed

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
270400.ed1	270400ed2	\([0, -1, 0, -901333, -328130713]\)	\(671088640/2197\)	\(265112484325000000\)	\([]\)	\(4354560\)	\(2.2086\)
270400.ed2	270400ed1	\([0, -1, 0, -56333, 4799287]\)	\(163840/13\)	\(1568712925000000\)	\([]\)	\(1451520\)	\(1.6593\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 270400.ed have rank \(0\).

Complex multiplication

The elliptic curves in class 270400.ed do not have complex multiplication.

Modular form 270400.2.a.ed

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.