Properties

Base field \(\Q(\sqrt{15}) \)
Label 2.2.60.1-200.1-i
Conductor 200.1
Rank \( 1 \)

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 200.1-i over \(\Q(\sqrt{15}) \)

Isogeny class 200.1-i contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
200.1-i1 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -106 a - 408\) , \( -294 a - 1138\bigr] \)
200.1-i2 \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -56 a - 218\) , \( 322 a + 1246\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph