Elliptic curve isogeny class with LMFDB label 234416.y (Cremona label 234416y)

• Label: 234416.y
• Number of curves: $2$
• Conductor: $234416$
• CM: no
• Rank: $1$

Elliptic curves in class 234416.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
234416.y1	234416y2	\([0, 0, 0, -6475, -197862]\)	\(42738468750/656903\)	\(461450708992\)	\([2]\)	\(303104\)	\(1.0397\)
234416.y2	234416y1	\([0, 0, 0, -35, -8526]\)	\(-13500/89401\)	\(-31400492032\)	\([2]\)	\(151552\)	\(0.69309\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 234416.y have rank \(1\).

Complex multiplication

The elliptic curves in class 234416.y do not have complex multiplication.

Modular form 234416.2.a.y

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.