Elliptic curve isogeny class with Cremona label 2142b (LMFDB label 2142.j)

• Label: 2142b
• Number of curves: $2$
• Conductor: $2142$
• CM: no
• Rank: $0$

Elliptic curves in class 2142b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2142.j1	2142b1	\([1, -1, 0, -168, 882]\)	\(-19486825371/11662\)	\(-314874\)	\([3]\)	\(480\)	\(-0.00098777\)	\(\Gamma_0(N)\)-optimal
2142.j2	2142b2	\([1, -1, 0, 147, 3437]\)	\(17779581/275128\)	\(-5415344424\)	\([]\)	\(1440\)	\(0.54832\)

Rank

The elliptic curves in class 2142b have rank \(0\).

Complex multiplication

The elliptic curves in class 2142b do not have complex multiplication.

Modular form 2142.2.a.b

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.