Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-108300.2-k
Conductor 108300.2
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 108300.2-k over \(\Q(\sqrt{-3}) \)

Isogeny class 108300.2-k contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
108300.2-k1 \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -1456 a + 1456\) , \( -21604\bigr] \)
108300.2-k2 \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -23326 a + 23326\) , \( -1373170\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph