Elliptic curve isogeny class with Cremona label 148800ew (LMFDB label 148800.cq)

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

Elliptic curves in class 148800ew

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
148800.cq4	148800ew1	\([0, -1, 0, 5967, -270063]\)	\(91765424/174375\)	\(-44640000000000\)	\([2]\)	\(294912\)	\(1.3038\)	\(\Gamma_0(N)\)-optimal
148800.cq3	148800ew2	\([0, -1, 0, -44033, -2820063]\)	\(9220796644/1946025\)	\(1992729600000000\)	\([2, 2]\)	\(589824\)	\(1.6503\)
148800.cq2	148800ew3	\([0, -1, 0, -224033, 38399937]\)	\(607199886722/41558445\)	\(85111695360000000\)	\([4]\)	\(1179648\)	\(1.9969\)
148800.cq1	148800ew4	\([0, -1, 0, -664033, -208040063]\)	\(15811147933922/1016955\)	\(2082723840000000\)	\([2]\)	\(1179648\)	\(1.9969\)

Rank

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

Complex multiplication

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

Modular form 148800.2.a.ew

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.