Properties

Base field \(\Q(\sqrt{38}) \)
Label 2.2.152.1-32.1-f
Conductor 32.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{38}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 38 \); class number \(1\).

Elliptic curves in class 32.1-f over \(\Q(\sqrt{38}) \)

Isogeny class 32.1-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
32.1-f1 \( \bigl[0\) , \( -a\) , \( 0\) , \( 740 a - 4549\) , \( -28481 a + 175560\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph