Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-25.1-a
Conductor 25.1
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{301}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 75 \); class number \(1\).

Elliptic curves in class 25.1-a over \(\Q(\sqrt{301}) \)

Isogeny class 25.1-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
25.1-a1 \( \bigl[0\) , \( 0\) , \( 1\) , \( -1311 a - 10717\) , \( -130778 a - 1069068\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph