Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-20.2-c
Conductor 20.2
Rank \( 2 \)

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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 20.2-c over \(\Q(\sqrt{301}) \)

Isogeny class 20.2-c contains only one elliptic curve.

Curve label Weierstrass Coefficients
20.2-c1 \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 18 a + 151\) , \( 33 a + 271\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

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

Isogeny graph