Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-4232.1-h
Conductor 4232.1
Rank \( 2 \)

Related objects

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Base field \(\Q(\sqrt{3}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 3 \); class number \(1\).

Elliptic curves in class 4232.1-h over \(\Q(\sqrt{3}) \)

Isogeny class 4232.1-h contains only one elliptic curve.

Curve label Weierstrass Coefficients
4232.1-h1 \( \bigl[0\) , \( 0\) , \( 0\) , \( -55\) , \( 157\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph