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
100156.3-d3
100156.3-d
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.3
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{2} \cdot 7^{21} \cdot 73^{2} \)
$2.75339$
$(-3a+1), (3a-2), (-9a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$4$
\( 2^{3} \)
$1$
$0.189118281$
1.746999853
\( -\frac{637509743623817073}{147520438988258} a + \frac{202953104452384443}{147520438988258} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 1680 a - 1393\) , \( -27587 a + 3136\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(1680a-1393\right){x}-27587a+3136$
100156.5-c3
100156.5-c
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.5
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{2} \cdot 7^{21} \cdot 73^{2} \)
$2.75339$
$(-3a+1), (3a-2), (-9a+1), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \)
$3.520772813$
$0.189118281$
3.075394794
\( -\frac{637509743623817073}{147520438988258} a + \frac{202953104452384443}{147520438988258} \)
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 1015 a + 777\) , \( -22687 a + 28616\bigr] \)
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1015a+777\right){x}-22687a+28616$
128772.3-e3
128772.3-e
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
128772.3
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \)
\( 2^{2} \cdot 3^{6} \cdot 7^{15} \cdot 73^{2} \)
$2.93194$
$(-2a+1), (-3a+1), (3a-2), (-9a+1), (2)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B.1.1[2]
$1$
\( 2^{5} \cdot 3^{2} \)
$1$
$0.288882946$
2.668586355
\( -\frac{637509743623817073}{147520438988258} a + \frac{202953104452384443}{147520438988258} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 168 a + 567\) , \( -8379 a + 5292\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(168a+567\right){x}-8379a+5292$
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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.