Elliptic curve isogeny class with LMFDB label 194350.cu (Cremona label 194350h)

• Label: 194350.cu
• Number of curves: $2$
• Conductor: $194350$
• CM: no
• Rank: $0$

Elliptic curves in class 194350.cu

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
194350.cu1	194350h2	\([1, 0, 0, -12307513, -16619974983]\)	\(109348914285625/1472\)	\(2775415175000000\)	\([]\)	\(5054400\)	\(2.5202\)
194350.cu2	194350h1	\([1, 0, 0, -160638, -20055608]\)	\(243135625/48668\)	\(91762164223437500\)	\([]\)	\(1684800\)	\(1.9709\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 194350.cu have rank \(0\).

Complex multiplication

The elliptic curves in class 194350.cu do not have complex multiplication.

Modular form 194350.2.a.cu

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.