Elliptic curve isogeny class 10816.2-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-10816.2-b
• Conductor: 10816.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 10816.2-b over \(\Q(\sqrt{-1}) \)

Isogeny class 10816.2-b contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
10816.2-b1	\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( 6 i + 3\) , \( -4 i + 5\bigr] \)
10816.2-b2	\( \bigl[i + 1\) , \( -1\) , \( i + 1\) , \( -8 i + 3\) , \( 3 i + 5\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph