Properties

Base field \(\Q(\sqrt{3}) \)
Label 2.2.12.1-351.2-d
Conductor 351.2
Rank \( 1 \)

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 351.2-d over \(\Q(\sqrt{3}) \)

Isogeny class 351.2-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
351.2-d1 \( \bigl[0\) , \( -a\) , \( a\) , \( 0\) , \( 0\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph