Elliptic curve isogeny class with Cremona label 29400co (LMFDB label 29400.ba)

• Label: 29400co
• Number of curves: $2$
• Conductor: $29400$
• CM: no
• Rank: $1$

Elliptic curves in class 29400co

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
29400.ba1	29400co1	[0, -1, 0, -1283, 13812]	[2]	18432	\(\Gamma_0(N)\)-optimal
29400.ba2	29400co2	[0, -1, 0, 3092, 83812]	[2]	36864

Rank

The elliptic curves in class 29400co have rank \(1\).

Complex multiplication

The elliptic curves in class 29400co do not have complex multiplication.

Modular form 29400.2.a.co

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.