Properties

Base field \(\Q(\sqrt{241}) \)
Label 2.2.241.1-10.1-c
Conductor 10.1
Rank \( 2 \)

Related objects

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Base field \(\Q(\sqrt{241}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 60 \); class number \(1\).

Elliptic curves in class 10.1-c over \(\Q(\sqrt{241}) \)

Isogeny class 10.1-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
10.1-c1 \( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -3246049045286 a - 23573091703152\) , \( 8908795207432475757 a + 64696448962976666859\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph