Properties

Base field \(\Q(\sqrt{113}) \)
Label 2.2.113.1-14.4-a
Conductor 14.4
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{113}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 28 \); class number \(1\).

Elliptic curves in class 14.4-a over \(\Q(\sqrt{113}) \)

Isogeny class 14.4-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
14.4-a1 \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 127124 a - 739251\) , \( 57375185 a - 333640894\bigr] \)
14.4-a2 \( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 1884 a - 10971\) , \( 51322 a - 298451\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph