Elliptic curve isogeny class with Cremona label 94640r (LMFDB label 94640.i)

• Label: 94640r
• Number of curves: $2$
• Conductor: $94640$
• CM: no
• Rank: $1$

Elliptic curves in class 94640r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
94640.i2	94640r1	\([0, 1, 0, 9, -116]\)	\(2048/175\)	\(-6151600\)	\([2]\)	\(15360\)	\(-0.017830\)	\(\Gamma_0(N)\)-optimal
94640.i1	94640r2	\([0, 1, 0, -316, -2196]\)	\(6224272/245\)	\(137795840\)	\([2]\)	\(30720\)	\(0.32874\)

Rank

The elliptic curves in class 94640r have rank \(1\).

Complex multiplication

The elliptic curves in class 94640r do not have complex multiplication.

Modular form 94640.2.a.r

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.