Elliptic curve isogeny class 18000.2-h over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-18000.2-h
• Conductor: 18000.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 18000.2-h over \(\Q(\sqrt{-1}) \)

Isogeny class 18000.2-h contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
18000.2-h1	\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 28 i + 14\) , \( 14 i + 64\bigr] \)
18000.2-h2	\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -2 i + 4\) , \( 6 i + 8\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph