Elliptic curve isogeny class with Cremona label 101430bj (LMFDB label 101430.p)

• Label: 101430bj
• Number of curves: $4$
• Conductor: $101430$
• CM: no
• Rank: $2$

Elliptic curves in class 101430bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
101430.p3	101430bj1	\([1, -1, 0, -66600, 6439936]\)	\(380920459249/12622400\)	\(1082574285710400\)	\([2]\)	\(663552\)	\(1.6579\)	\(\Gamma_0(N)\)-optimal
101430.p4	101430bj2	\([1, -1, 0, 21600, 22192456]\)	\(12994449551/2489452840\)	\(-213510713499233640\)	\([2]\)	\(1327104\)	\(2.0044\)
101430.p1	101430bj3	\([1, -1, 0, -745740, -245545700]\)	\(534774372149809/5323062500\)	\(456538422465562500\)	\([2]\)	\(1990656\)	\(2.2072\)
101430.p2	101430bj4	\([1, -1, 0, -194490, -600881450]\)	\(-9486391169809/1813439640250\)	\(-155531683611877970250\)	\([2]\)	\(3981312\)	\(2.5538\)

Rank

The elliptic curves in class 101430bj have rank \(2\).

Complex multiplication

The elliptic curves in class 101430bj do not have complex multiplication.

Modular form 101430.2.a.bj

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.