Elliptic curve isogeny class 144.1-d over number field \(\Q(\sqrt{14}) \)

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

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

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

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

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

Curve label	Weierstrass Coefficients
144.1-d1	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -6 a - 15\) , \( -15 a - 60\bigr] \)
144.1-d2	\( \bigl[a\) , \( -a\) , \( a\) , \( 4 a - 22\) , \( 29 a - 112\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph