Elliptic curve isogeny class 83232.1-e over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-83232.1-e
• Conductor: 83232.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 83232.1-e over \(\Q(\sqrt{-1}) \)

Isogeny class 83232.1-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
83232.1-e1	\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -15 i + 26\) , \( 54 i + 61\bigr] \)
83232.1-e2	\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 1\) , \( i + 2\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph