Properties

Base field \(\Q(\sqrt{-3}) \)
Label 2.0.3.1-51984.3-CMb
Conductor 51984.3
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 51984.3-CMb over \(\Q(\sqrt{-3}) \)

Isogeny class 51984.3-CMb contains only one elliptic curve.

Curve label Weierstrass Coefficients
51984.3-CMb1 \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -231 a - 185\bigr] \)

Rank

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

Isogeny matrix

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

Isogeny graph