Label Class Class size Class degree Base field Field degree Field signature Conductor Conductor norm Discriminant norm Root analytic conductor Bad primes Rank Torsion CM CM Sato-Tate $\Q$-curve Base change Semistable Potentially good Nonmax $\ell$ mod-$\ell$ images $Ш_{\textrm{an}}$ Tamagawa Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
33800.8-d1 33800.8-d $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
33800.8
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{11} \cdot 5^{9} \cdot 13^{6} \)
$2.42325$
$(a+1), (2a+1), (-3a-2), (2a+3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{4} \)
$1$
$0.559385163$
2.237540653
\( -\frac{58185123}{28561} a + \frac{207521489}{28561} \)
\( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -113 i + 179\) , \( 654 i + 891\bigr] \) ${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-113i+179\right){x}+654i+891$
67600.8-c1 67600.8-c $2$
$2$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
67600.8
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{11} \cdot 5^{3} \cdot 13^{6} \)
$2.88174$
$(a+1), (2a+1), (-3a-2), (2a+3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{6} \)
$0.106415638$
$1.250823250$
4.259428964
\( -\frac{58185123}{28561} a + \frac{207521489}{28561} \)
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -17 i - 40\) , \( 30 i + 103\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-17i-40\right){x}+30i+103$
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*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.
