Properties

Base field \(\Q(\sqrt{15}) \)
Label 2.2.60.1-75.1-a
Conductor 75.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{15}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 15 \); class number \(2\).

Elliptic curves in class 75.1-a over \(\Q(\sqrt{15}) \)

Isogeny class 75.1-a contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
75.1-a1 \( \bigl[0\) , \( 1\) , \( a\) , \( -8\) , \( 3\bigr] \)
75.1-a2 \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -54 a + 212\) , \( 1756 a - 6802\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph