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
100156.4-c4
100156.4-c
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.4
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{6} \cdot 7^{11} \cdot 73^{6} \)
$2.75339$
$(-3a+1), (3a-2), (9a-8), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \cdot 3 \)
$1.173590937$
$0.189118281$
3.075394794
\( -\frac{1454621964199278075}{1453413909279556} a + \frac{6478079565720766761}{2906827818559112} \)
\( \bigl[1\) , \( a\) , \( 1\) , \( 611 a - 1540\) , \( 13161 a - 12103\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(611a-1540\right){x}+13161a-12103$
100156.6-d4
100156.6-d
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.6
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{6} \cdot 7^{11} \cdot 73^{6} \)
$2.75339$
$(-3a+1), (3a-2), (9a-8), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$4$
\( 2^{3} \)
$1$
$0.189118281$
1.746999853
\( -\frac{1454621964199278075}{1453413909279556} a + \frac{6478079565720766761}{2906827818559112} \)
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -989 a + 1528\) , \( -309 a - 12508\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-989a+1528\right){x}-309a-12508$
128772.4-g4
128772.4-g
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
128772.4
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \)
\( 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 73^{6} \)
$2.93194$
$(-2a+1), (-3a+1), (3a-2), (9a-8), (2)$
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
\( -\frac{1454621964199278075}{1453413909279556} a + \frac{6478079565720766761}{2906827818559112} \)
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 16 a - 584\) , \( 2142 a - 4102\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(16a-584\right){x}+2142a-4102$
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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.