Properties

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

Related objects

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

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

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

Isogeny class 102400.1-t contains 4 curves linked by isogenies of degrees dividing 6.

Curve label Weierstrass Coefficients
102400.1-t1 \( \bigl[0\) , \( -1\) , \( 0\) , \( -145\) , \( -975\bigr] \)
102400.1-t2 \( \bigl[0\) , \( -1\) , \( 0\) , \( 15\) , \( 17\bigr] \)
102400.1-t3 \( \bigl[0\) , \( -1\) , \( 0\) , \( -5\) , \( 5\bigr] \)
102400.1-t4 \( \bigl[0\) , \( -1\) , \( 0\) , \( -165\) , \( -763\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph