Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-15138.2-g
Conductor 15138.2
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 15138.2-g over \(\Q(\sqrt{-2}) \)

Isogeny class 15138.2-g contains 2 curves linked by isogenies of degree 7.

Curve label Weierstrass Coefficients
15138.2-g1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -6511\) , \( -203353\bigr] \)
15138.2-g2 \( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( 137\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph