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
8712.5-g2
8712.5-g
$4$
$4$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
8712.5
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \)
\( 2^{8} \cdot 3^{2} \cdot 11^{8} \)
$2.44182$
$(a), (-a-1), (a-1), (a+3), (a-3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$1.354000931$
$1.425475921$
5.459135104
\( \frac{122657188}{43923} \)
\( \bigl[a\) , \( 0\) , \( 0\) , \( -26\) , \( 36\bigr] \)
${y}^2+a{x}{y}={x}^{3}-26{x}+36$
17424.5-f2
17424.5-f
$4$
$4$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
17424.5
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)
\( 2^{8} \cdot 3^{2} \cdot 11^{8} \)
$2.90383$
$(a), (-a-1), (a-1), (a+3), (a-3)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{5} \)
$1$
$1.425475921$
2.015927381
\( \frac{122657188}{43923} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( -26\) , \( -36\bigr] \)
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-26{x}-36$
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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.