Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-110889.3-CMd
Conductor 110889.3
Rank bounds 0...2

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 110889.3-CMd over \(\Q(\sqrt{-3}) \)

Isogeny class 110889.3-CMd contains only one elliptic curve.

Curve label Weierstrass Coefficients
110889.3-CMd1 \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( 387 a - 260\bigr] \)

Rank

Rank \(r\) satisfies \(0 \le r \le 2\)

Isogeny matrix

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

Isogeny graph