Elliptic curve isogeny class with Cremona label 11154y (LMFDB label 11154.y)

• Label: 11154y
• Number of curves: $2$
• Conductor: $11154$
• CM: no
• Rank: $1$

Elliptic curves in class 11154y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11154.y2	11154y1	\([1, 1, 1, -97263, 40711029]\)	\(-9595703125/62099136\)	\(-658530248775841728\)	\([2]\)	\(112320\)	\(2.1025\)	\(\Gamma_0(N)\)-optimal
11154.y1	11154y2	\([1, 1, 1, -2470023, 1489992837]\)	\(157158018407125/382657176\)	\(4057887782965950648\)	\([2]\)	\(224640\)	\(2.4491\)

Rank

The elliptic curves in class 11154y have rank \(1\).

Complex multiplication

The elliptic curves in class 11154y do not have complex multiplication.

Modular form 11154.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.