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
1.1-a1
1.1-a
$2$
$2$
\(\Q(\sqrt{102}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 3^{12} \)
$1.80496$
$\textsf{none}$
$2$
$\Z/2\Z$
$\textsf{potential}$
$-8$
$N(\mathrm{U}(1))$
✓
✓
✓
$1$
\( 1 \)
$0.888354437$
$50.75994773$
2.232427484
\( 8000 \)
\( \bigl[a\) , \( 0\) , \( 1\) , \( 1530112 a - 15453162\) , \( 2912059458 a - 29410358263\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(1530112a-15453162\right){x}+2912059458a-29410358263$
1.1-a2
1.1-a
$2$
$2$
\(\Q(\sqrt{102}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 3^{12} \)
$1.80496$
$\textsf{none}$
$2$
$\Z/2\Z$
$\textsf{potential}$
$-8$
$N(\mathrm{U}(1))$
✓
✓
✓
$1$
\( 1 \)
$0.888354437$
$50.75994773$
2.232427484
\( 8000 \)
\( \bigl[a\) , \( 0\) , \( 1\) , \( 37 a - 162\) , \( -33 a + 947\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(37a-162\right){x}-33a+947$
1.1-b1
1.1-b
$2$
$2$
\(\Q(\sqrt{102}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 1 \)
$1.80496$
$\textsf{none}$
0
$\Z/2\Z$
$\textsf{potential}$
$-8$
$N(\mathrm{U}(1))$
✓
✓
✓
$4$
\( 1 \)
$1$
$50.75994773$
2.512991876
\( 8000 \)
\( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -21 a + 141\) , \( -104 a + 463\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-21a+141\right){x}-104a+463$
1.1-b2
1.1-b
$2$
$2$
\(\Q(\sqrt{102}) \)
$2$
$[2, 0]$
1.1
\( 1 \)
\( 1 \)
$1.80496$
$\textsf{none}$
0
$\Z/2\Z$
$\textsf{potential}$
$-8$
$N(\mathrm{U}(1))$
✓
✓
✓
$4$
\( 1 \)
$1$
$50.75994773$
2.512991876
\( 8000 \)
\( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( 20 a + 141\) , \( 103 a + 463\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(20a+141\right){x}+103a+463$
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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.