Properties

Base field \(\Q(\sqrt{301}) \)
Label 2.2.301.1-15.1-b
Conductor 15.1
Rank \( 0 \)

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 15.1-b over \(\Q(\sqrt{301}) \)

Isogeny class 15.1-b contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
15.1-b1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -8 a - 65\) , \( -39 a - 319\bigr] \)
15.1-b2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 42 a - 385\) , \( 577 a - 5294\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph