Elliptic curve isogeny class with Cremona label 148800kp (LMFDB label 148800.de)

• Label: 148800kp
• Number of curves: $4$
• Conductor: $148800$
• CM: no
• Rank: $1$

Elliptic curves in class 148800kp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
148800.de3	148800kp1	\([0, -1, 0, -173633, -24700863]\)	\(141339344329/17141760\)	\(70212648960000000\)	\([2]\)	\(1327104\)	\(1.9630\)	\(\Gamma_0(N)\)-optimal
148800.de2	148800kp2	\([0, -1, 0, -685633, 192899137]\)	\(8702409880009/1120910400\)	\(4591248998400000000\)	\([2, 2]\)	\(2654208\)	\(2.3096\)
148800.de1	148800kp3	\([0, -1, 0, -10605633, 13297219137]\)	\(32208729120020809/658986840\)	\(2699210096640000000\)	\([2]\)	\(5308416\)	\(2.6562\)
148800.de4	148800kp4	\([0, -1, 0, 1042367, 1006787137]\)	\(30579142915511/124675335000\)	\(-510670172160000000000\)	\([2]\)	\(5308416\)	\(2.6562\)

Rank

The elliptic curves in class 148800kp have rank \(1\).

Complex multiplication

The elliptic curves in class 148800kp do not have complex multiplication.

Modular form 148800.2.a.kp

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.