Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-99372.4-h
Conductor 99372.4
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 99372.4-h over \(\Q(\sqrt{-3}) \)

Isogeny class 99372.4-h contains only one elliptic curve.

Curve label Weierstrass Coefficients
99372.4-h1 \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 14 a + 9\) , \( 12 a - 42\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph