Elliptic curve isogeny class with LMFDB label 214245.z (Cremona label 214245y)

• Label: 214245.z
• Number of curves: $2$
• Conductor: $214245$
• CM: no
• Rank: $1$

Elliptic curves in class 214245.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
214245.z1	214245y2	\([1, -1, 0, -119124, 15923305]\)	\(-15590912409/78125\)	\(-936789610078125\)	\([]\)	\(1047816\)	\(1.7201\)
214245.z2	214245y1	\([1, -1, 0, -99, -11762]\)	\(-9/5\)	\(-59954535045\)	\([]\)	\(149688\)	\(0.74716\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 214245.z have rank \(1\).

Complex multiplication

The elliptic curves in class 214245.z do not have complex multiplication.

Modular form 214245.2.a.z

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.