Properties

Base field \(\Q(\sqrt{145}) \)
Label 2.2.145.1-9.1-a
Conductor 9.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{145}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 36 \); class number \(4\).

Elliptic curves in class 9.1-a over \(\Q(\sqrt{145}) \)

Isogeny class 9.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
9.1-a1 \( \bigl[0\) , \( -1\) , \( 1\) , \( -400 a - 2208\) , \( -15950 a - 88057\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph