Elliptic curve isogeny class 144.3-j over number field \(\Q(\sqrt{57}) \)

• Base field: \(\Q(\sqrt{57}) \)
• Label: 2.2.57.1-144.3-j
• Conductor: 144.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 144.3-j over \(\Q(\sqrt{57}) \)

Isogeny class 144.3-j contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
144.3-j1	\( \bigl[a\) , \( a\) , \( 0\) , \( 77078 a - 329476\) , \( 22156712 a - 94718084\bigr] \)
144.3-j2	\( \bigl[a\) , \( a\) , \( 0\) , \( 24\) , \( 468 a - 1980\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph