Properties

Base field \(\Q(\sqrt{2}) \)
Label 2.2.8.1-2450.3-j
Conductor 2450.3
Rank \( 0 \)

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 2450.3-j over \(\Q(\sqrt{2}) \)

Isogeny class 2450.3-j contains only one elliptic curve.

Curve label Weierstrass Coefficients
2450.3-j1 \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -a + 1\) , \( -68 a - 95\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph