Elliptic curve isogeny class 144.5-a over number field \(\Q(\sqrt{57}) \)

• Base field: \(\Q(\sqrt{57}) \)
• Label: 2.2.57.1-144.5-a
• Conductor: 144.5
• Rank: \( 0 \)

Base field \(\Q(\sqrt{57}) \)

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

Elliptic curves in class 144.5-a over \(\Q(\sqrt{57}) \)

Isogeny class 144.5-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
144.5-a1	\( \bigl[a\) , \( -1\) , \( 0\) , \( 186999 a - 799401\) , \( -85079205 a + 363706560\bigr] \)
144.5-a2	\( \bigl[a\) , \( -1\) , \( 0\) , \( 5799 a - 24786\) , \( -2668539 a + 11407785\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph