Elliptic curve isogeny class 284.2-a over number field \(\Q(\sqrt{-67}) \)

• Base field: \(\Q(\sqrt{-67}) \)
• Label: 2.0.67.1-284.2-a
• Conductor: 284.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-67}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 17 \); class number \(1\).

Elliptic curves in class 284.2-a over \(\Q(\sqrt{-67}) \)

Isogeny class 284.2-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
284.2-a1	\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -26 a + 61\) , \( 53 a - 244\bigr] \)
284.2-a2	\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -6 a + 1\) , \( a + 24\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph