Elliptic curve isogeny class 102400.1-n over number field \(\Q(\sqrt{-3}) \)

• Base field: \(\Q(\sqrt{-3}) \)
• Label: 2.0.3.1-102400.1-n
• Conductor: 102400.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).

Elliptic curves in class 102400.1-n over \(\Q(\sqrt{-3}) \)

Isogeny class 102400.1-n contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
102400.1-n1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 52\) , \( 272\bigr] \)
102400.1-n2	\( \bigl[0\) , \( 0\) , \( 0\) , \( -28\) , \( 48\bigr] \)
102400.1-n3	\( \bigl[0\) , \( 0\) , \( 0\) , \( -8\) , \( -8\bigr] \)
102400.1-n4	\( \bigl[0\) , \( 0\) , \( 0\) , \( -428\) , \( 3408\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph