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
4802.1-a1
4802.1-a
$6$
$18$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{36} \cdot 7^{14} \)
$2.10397$
$(a), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$12.63051067$
$0.125059590$
4.467688722
\( -\frac{548347731625}{1835008} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -8355\) , \( 291341\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-8355{x}+291341$
4802.1-a2
4802.1-a
$6$
$18$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{4} \cdot 7^{14} \)
$2.10397$
$(a), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$1.403390075$
$1.125536316$
4.467688722
\( -\frac{15625}{28} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -25\) , \( -111\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-25{x}-111$
4802.1-a3
4802.1-a
$6$
$18$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{12} \cdot 7^{18} \)
$2.10397$
$(a), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3Cs
$1$
\( 2^{3} \)
$4.210170225$
$0.375178772$
4.467688722
\( \frac{9938375}{21952} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( 220\) , \( 2192\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}+220{x}+2192$
4802.1-a4
4802.1-a
$6$
$18$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{6} \cdot 7^{24} \)
$2.10397$
$(a), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3Cs
$1$
\( 2^{3} \)
$8.420340450$
$0.187589386$
4.467688722
\( \frac{4956477625}{941192} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -1740\) , \( 22184\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-1740{x}+22184$
4802.1-a5
4802.1-a
$6$
$18$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{2} \cdot 7^{16} \)
$2.10397$
$(a), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$2.806780150$
$0.562768158$
4.467688722
\( \frac{128787625}{98} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -515\) , \( -4717\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-515{x}-4717$
4802.1-a6
4802.1-a
$6$
$18$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
4802.1
\( 2 \cdot 7^{4} \)
\( 2^{18} \cdot 7^{16} \)
$2.10397$
$(a), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$1$
\( 2^{3} \)
$25.26102135$
$0.062529795$
4.467688722
\( \frac{2251439055699625}{25088} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -133795\) , \( 18781197\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-133795{x}+18781197$
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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.