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-f2
100156.3-f
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.3
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{4} \cdot 7^{10} \cdot 73^{2} \)
$2.75339$
$(-3a+1), (3a-2), (-9a+1), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \cdot 3 \)
$0.809998644$
$0.596187144$
6.691408034
\( -\frac{5321822571516}{1827847} a + \frac{24111647375183}{7311388} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 117 a + 449\) , \( -5008 a + 3991\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(117a+449\right){x}-5008a+3991$
100156.5-b2
100156.5-b
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.5
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{4} \cdot 7^{10} \cdot 73^{2} \)
$2.75339$
$(-3a+1), (3a-2), (-9a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$1$
$0.596187144$
1.376835233
\( -\frac{5321822571516}{1827847} a + \frac{24111647375183}{7311388} \)
\( \bigl[a\) , \( a + 1\) , \( 1\) , \( -541 a + 489\) , \( -844 a + 5182\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-541a+489\right){x}-844a+5182$
128772.3-b2
128772.3-b
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
128772.3
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \)
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 73^{2} \)
$2.93194$
$(-2a+1), (-3a+1), (3a-2), (-9a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$1$
$0.910690905$
2.103150558
\( -\frac{5321822571516}{1827847} a + \frac{24111647375183}{7311388} \)
\( \bigl[a\) , \( a\) , \( 1\) , \( 140 a + 115\) , \( -853 a + 1376\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(140a+115\right){x}-853a+1376$
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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.