Properties

Base field \(\Q(\sqrt{14}) \)
Label 2.2.56.1-144.1-h
Conductor 144.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{14}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 14 \); class number \(1\).

Elliptic curves in class 144.1-h over \(\Q(\sqrt{14}) \)

Isogeny class 144.1-h contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
144.1-h1 \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 15\) , \( 15 a - 60\bigr] \)
144.1-h2 \( \bigl[a\) , \( a\) , \( a\) , \( -4 a - 22\) , \( -29 a - 112\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph