Properties

Base field \(\Q(\sqrt{38}) \)
Label 2.2.152.1-19.1-f
Conductor 19.1
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 19.1-f over \(\Q(\sqrt{38}) \)

Isogeny class 19.1-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
19.1-f1 \( \bigl[a\) , \( 1\) , \( 1\) , \( 16 a - 65\) , \( 149 a - 876\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph