Elliptic curve isogeny class 82369.1-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-82369.1-a
• Conductor: 82369.1
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-1}) \)

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

Elliptic curves in class 82369.1-a over \(\Q(\sqrt{-1}) \)

Isogeny class 82369.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
82369.1-a1	\( \bigl[i\) , \( 1\) , \( 0\) , \( -57 i - 8\) , \( -1917 i - 3083\bigr] \)
82369.1-a2	\( \bigl[1\) , \( -1\) , \( 0\) , \( -102 i - 208\) , \( 880 i + 1089\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph