Properties

Base field \(\Q(\sqrt{37}) \)
Label 2.2.37.1-25.1-c
Conductor 25.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{37}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).

Elliptic curves in class 25.1-c over \(\Q(\sqrt{37}) \)

Isogeny class 25.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-c1 \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -2 a - 2\) , \( -a - 2\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph