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
8.2-a7
8.2-a
$8$
$16$
3.3.316.1
$3$
$[3, 0]$
8.2
\( 2^{3} \)
\( 2^{10} \)
$2.24645$
$(a)$
0
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2 \)
$1$
$345.3874249$
0.607173770
\( 95505 a^{2} - 288104 a + 153504 \)
\( \bigl[a\) , \( -a^{2} + a + 3\) , \( a\) , \( 14246 a^{2} - 7541 a - 60535\) , \( -1307660 a^{2} + 692166 a + 5556430\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a^{2}+a+3\right){x}^{2}+\left(14246a^{2}-7541a-60535\right){x}-1307660a^{2}+692166a+5556430$
16.2-a1
16.2-a
$8$
$16$
3.3.316.1
$3$
$[3, 0]$
16.2
\( 2^{4} \)
\( 2^{10} \)
$2.52156$
$(a)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2^{2} \)
$1$
$93.59270615$
1.316250266
\( 95505 a^{2} - 288104 a + 153504 \)
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 37178 a^{2} - 19692 a - 157999\) , \( 5562481 a^{2} - 2944283 a - 23635709\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(37178a^{2}-19692a-157999\right){x}+5562481a^{2}-2944283a-23635709$
128.5-e6
128.5-e
$8$
$16$
3.3.316.1
$3$
$[3, 0]$
128.5
\( 2^{7} \)
\( 2^{22} \)
$3.56602$
$(a), (-a+1)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2Cs
$1$
\( 2^{3} \)
$0.803039164$
$38.94846572$
2.639215170
\( 95505 a^{2} - 288104 a + 153504 \)
\( \bigl[a^{2} + a - 2\) , \( a + 1\) , \( a^{2} + a - 2\) , \( 1122 a^{2} - 587 a - 4755\) , \( 29819 a^{2} - 15772 a - 126684\bigr] \)
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}+a-2\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1122a^{2}-587a-4755\right){x}+29819a^{2}-15772a-126684$
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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.