Properties

Base field \(\Q(\sqrt{-31}) \)
Label 2.0.31.1-144.2-a
Conductor 144.2
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-31}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 8 \); class number \(3\).

Elliptic curves in class 144.2-a over \(\Q(\sqrt{-31}) \)

Isogeny class 144.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
144.2-a1 \( \bigl[a\) , \( a - 1\) , \( a\) , \( -4 a\) , \( -2 a + 12\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph