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-d1
100156.3-d
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.3
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{4} \cdot 7^{18} \cdot 73 \)
$2.75339$
$(-3a+1), (3a-2), (-9a+1), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{4} \)
$1$
$0.378236563$
1.746999853
\( \frac{275361962643}{34353508} a - \frac{64083232890}{8588377} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( 190 a - 523\) , \( 1947 a - 4408\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(190a-523\right){x}+1947a-4408$
100156.5-c1
100156.5-c
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
100156.5
\( 2^{2} \cdot 7^{3} \cdot 73 \)
\( 2^{4} \cdot 7^{18} \cdot 73 \)
$2.75339$
$(-3a+1), (3a-2), (-9a+1), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B[2]
$1$
\( 2^{3} \)
$1.760386406$
$0.378236563$
3.075394794
\( \frac{275361962643}{34353508} a - \frac{64083232890}{8588377} \)
\( \bigl[1\) , \( -a + 1\) , \( 0\) , \( 525 a - 203\) , \( -2793 a - 1568\bigr] \)
${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(525a-203\right){x}-2793a-1568$
128772.3-e1
128772.3-e
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
128772.3
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 73 \)
\( 2^{4} \cdot 3^{6} \cdot 7^{12} \cdot 73 \)
$2.93194$
$(-2a+1), (-3a+1), (3a-2), (-9a+1), (2)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2, 3$
2B , 3B.1.1[2]
$1$
\( 2^{4} \cdot 3^{2} \)
$1$
$0.577765893$
2.668586355
\( \frac{275361962643}{34353508} a - \frac{64083232890}{8588377} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 198 a - 3\) , \( -141 a - 996\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(198a-3\right){x}-141a-996$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.