Properties

Base field 3.3.148.1
Label 3.3.148.1-400.2-b
Conductor 400.2
Rank \( 0 \)

Related objects

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Base field 3.3.148.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 3 x + 1 \); class number \(1\).

Elliptic curves in class 400.2-b over 3.3.148.1

Isogeny class 400.2-b contains 4 curves linked by isogenies of degrees dividing 10.

Curve label Weierstrass Coefficients
400.2-b1 \( \bigl[a^{2} - 1\) , \( -a^{2} + 3\) , \( a^{2} - 1\) , \( -19 a^{2} - 16 a - 28\) , \( 53 a^{2} + 166 a - 6\bigr] \)
400.2-b2 \( \bigl[a^{2} - 1\) , \( -a^{2} + 3\) , \( 0\) , \( 30521 a^{2} + 35718 a - 14063\) , \( -15069426 a^{2} - 17632534 a + 6944161\bigr] \)
400.2-b3 \( \bigl[0\) , \( -a^{2} + 2 a + 3\) , \( 0\) , \( 14 a^{2} - 12 a - 50\) , \( -45 a^{2} + 62 a + 84\bigr] \)
400.2-b4 \( \bigl[0\) , \( -a^{2} + 2 a + 3\) , \( 0\) , \( -1890 a^{2} - 2208 a + 874\) , \( -75538 a^{2} - 88388 a + 34811\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 5 & 2 & 10 \\ 5 & 1 & 10 & 2 \\ 2 & 10 & 1 & 5 \\ 10 & 2 & 5 & 1 \end{array}\right)\)

Isogeny graph