Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-144.1-CMa
Conductor 144.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 144.1-CMa over \(\Q(\sqrt{-2}) \)

Isogeny class 144.1-CMa contains only one elliptic curve.

Curve label Weierstrass Coefficients
144.1-CMa1 \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a - 2\) , \( -2 a - 4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph