Elliptic curve isogeny class 76250.5-h over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76250.5-h
• Conductor: 76250.5
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rrr} 1 & 5 & 25 \\ 5 & 1 & 5 \\ 25 & 5 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 76250.5-h over \(\Q(\sqrt{-1}) \)

Isogeny class 76250.5-h contains 3 curves linked by isogenies of degrees dividing 25.

Curve label	Weierstrass Coefficients
76250.5-h1	\( \bigl[i\) , \( i\) , \( i + 1\) , \( -6759 i + 4108\) , \( -7222 i - 268651\bigr] \)
76250.5-h2	\( \bigl[1\) , \( i\) , \( 0\) , \( -654 i - 80\) , \( -6084 i + 7976\bigr] \)
76250.5-h3	\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( -1008 i + 1358\) , \( 15038 i + 20886\bigr] \)