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
882.1-a1
882.1-a
$6$
$8$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
882.1
\( 2 \cdot 3^{2} \cdot 7^{2} \)
\( 2^{16} \cdot 3^{4} \cdot 7^{2} \)
$0.97395$
$(a+1), (3), (7)$
0
$\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{5} \)
$1$
$2.740367332$
1.370183666
\( -\frac{7189057}{16128} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -4\) , \( 5\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-4{x}+5$
7938.1-a1
7938.1-a
$6$
$8$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
7938.1
\( 2 \cdot 3^{4} \cdot 7^{2} \)
\( 2^{16} \cdot 3^{16} \cdot 7^{2} \)
$1.68693$
$(a+1), (3), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{3} \)
$1$
$0.913455777$
1.826911554
\( -\frac{7189057}{16128} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -36\) , \( -176\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-36{x}-176$
43218.1-g1
43218.1-g
$6$
$8$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
43218.1
\( 2 \cdot 3^{2} \cdot 7^{4} \)
\( 2^{16} \cdot 3^{4} \cdot 7^{14} \)
$2.57682$
$(a+1), (3), (7)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{7} \)
$1.155405907$
$0.391481047$
7.237112237
\( -\frac{7189057}{16128} \)
\( \bigl[i\) , \( 0\) , \( 0\) , \( -197\) , \( 2367\bigr] \)
${y}^2+i{x}{y}={x}^{3}-197{x}+2367$
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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.