Elliptic curve isogeny class with Cremona label 1190a (LMFDB label 1190.a)

• Label: 1190a
• Number of curves: $2$
• Conductor: $1190$
• CM: no
• Rank: $1$

Elliptic curves in class 1190a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1190.a2	1190a1	\([1, -1, 0, -145, -2979]\)	\(-338463151209/3731840000\)	\(-3731840000\)	\([2]\)	\(480\)	\(0.51871\)	\(\Gamma_0(N)\)-optimal
1190.a1	1190a2	\([1, -1, 0, -4145, -101379]\)	\(7876916680687209/27200448800\)	\(27200448800\)	\([2]\)	\(960\)	\(0.86528\)

Rank

The elliptic curves in class 1190a have rank \(1\).

Complex multiplication

The elliptic curves in class 1190a do not have complex multiplication.

Modular form 1190.2.a.a

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.