Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-18396.2-a
Conductor 18396.2
Rank \( 1 \)

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 18396.2-a over \(\Q(\sqrt{-3}) \)

Isogeny class 18396.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
18396.2-a1 \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( a - 8\) , \( -9 a + 11\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph