Elliptic curve isogeny class 36125.4-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-36125.4-b
• Conductor: 36125.4
• Rank: \( 1 \)

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

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

Elliptic curves in class 36125.4-b over \(\Q(\sqrt{-1}) \)

Isogeny class 36125.4-b contains 2 curves linked by isogenies of degree 17.

Curve label	Weierstrass Coefficients
36125.4-b1	\( \bigl[0\) , \( i - 1\) , \( i\) , \( 79 i + 41\) , \( 14 i + 286\bigr] \)
36125.4-b2	\( \bigl[0\) , \( i - 1\) , \( i\) , \( 5439 i + 4311\) , \( -266410 i - 400132\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 17 \\ 17 & 1 \end{array}\right)\)

Isogeny graph