Elliptic curve isogeny class 15250.5-f over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-15250.5-f
• Conductor: 15250.5
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 15250.5-f over \(\Q(\sqrt{-1}) \)

Isogeny class 15250.5-f contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
15250.5-f1	\( \bigl[i\) , \( i + 1\) , \( i + 1\) , \( -707 i + 403\) , \( 36 i - 8596\bigr] \)
15250.5-f2	\( \bigl[i\) , \( i + 1\) , \( i + 1\) , \( -7 i + 3\) , \( -4 i - 16\bigr] \)