Properties

Base field \(\Q(\sqrt{161}) \)
Label 2.2.161.1-10.3-h
Conductor 10.3
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{161}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 40 \); class number \(1\).

Elliptic curves in class 10.3-h over \(\Q(\sqrt{161}) \)

Isogeny class 10.3-h contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.3-h1 \( \bigl[a\) , \( a\) , \( a + 1\) , \( 8 a + 33\) , \( 18 a + 97\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph