Elliptic curve isogeny class with LMFDB label 292215.y (Cremona label 292215y)

• Label: 292215.y
• Number of curves: $4$
• Conductor: $292215$
• CM: no
• Rank: $1$

Elliptic curves in class 292215.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
292215.y1	292215y4	\([1, 1, 0, -611173, -184157288]\)	\(14251520160844849/264449745\)	\(468488854701945\)	\([2]\)	\(2457600\)	\(1.9400\)
292215.y2	292215y2	\([1, 1, 0, -39448, -2691773]\)	\(3832302404449/472410225\)	\(836903530611225\)	\([2, 2]\)	\(1228800\)	\(1.5934\)
292215.y3	292215y1	\([1, 1, 0, -9803, 326088]\)	\(58818484369/7455105\)	\(13207173268905\)	\([2]\)	\(614400\)	\(1.2468\)	\(\Gamma_0(N)\)-optimal
292215.y4	292215y3	\([1, 1, 0, 57957, -13776462]\)	\(12152722588271/53476250625\)	\(-94736440033475625\)	\([2]\)	\(2457600\)	\(1.9400\)

Rank

The elliptic curves in class 292215.y have rank \(1\).

Complex multiplication

The elliptic curves in class 292215.y do not have complex multiplication.

Modular form 292215.2.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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.