Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-81225.3-c
Conductor 81225.3
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 81225.3-c over \(\Q(\sqrt{-3}) \)

Isogeny class 81225.3-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
81225.3-c1 \( \bigl[0\) , \( -a - 1\) , \( a\) , \( 208 a - 725\) , \( -27005 a + 30253\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph