Elliptic curve isogeny class with Cremona label 381150nd (LMFDB label 381150.nd)

• Label: 381150nd
• Number of curves: $4$
• Conductor: $381150$
• CM: no
• Rank: $1$

Elliptic curves in class 381150nd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
381150.nd4	381150nd1	\([1, -1, 1, -794630, -2885009003]\)	\(-2749884201/176619520\)	\(-3564038324689920000000\)	\([2]\)	\(23592960\)	\(2.8152\)	\(\Gamma_0(N)\)-optimal
381150.nd3	381150nd2	\([1, -1, 1, -35642630, -81362705003]\)	\(248158561089321/1859334400\)	\(37519856582184900000000\)	\([2, 2]\)	\(47185920\)	\(3.1618\)
381150.nd2	381150nd3	\([1, -1, 1, -59600630, 41781414997]\)	\(1160306142246441/634128110000\)	\(12796189723554821718750000\)	\([2]\)	\(94371840\)	\(3.5084\)
381150.nd1	381150nd4	\([1, -1, 1, -569252630, -5227497545003]\)	\(1010962818911303721/57392720\)	\(1158138430215401250000\)	\([2]\)	\(94371840\)	\(3.5084\)

Rank

The elliptic curves in class 381150nd have rank \(1\).

Complex multiplication

The elliptic curves in class 381150nd do not have complex multiplication.

Modular form 381150.2.a.nd

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.