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
256.1-a1
256.1-a
$1$
$1$
\(\Q(\sqrt{-163}) \)
$2$
$[0, 1]$
256.1
\( 2^{8} \)
\( 2^{30} \)
$4.56344$
$(2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Cn
$1$
\( 2^{2} \)
$1$
$2.142899731$
1.342758886
\( \frac{132651}{8} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 17\) , \( -4 a + 2\bigr] \)
${y}^2={x}^3+17{x}-4a+2$
256.1-b1
256.1-b
$1$
$1$
\(\Q(\sqrt{-163}) \)
$2$
$[0, 1]$
256.1
\( 2^{8} \)
\( 2^{30} \)
$4.56344$
$(2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Cn
$1$
\( 2^{2} \)
$1$
$2.142899731$
1.342758886
\( \frac{132651}{8} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 17\) , \( 4 a - 2\bigr] \)
${y}^2={x}^3+17{x}+4a-2$
4096.1-b1
4096.1-b
$1$
$1$
\(\Q(\sqrt{-163}) \)
$2$
$[0, 1]$
4096.1
\( 2^{12} \)
\( 2^{42} \)
$9.12688$
$(2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Cn
$1$
\( 2^{2} \)
$1$
$1.071449865$
0.671379443
\( \frac{132651}{8} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 68\) , \( 32 a - 16\bigr] \)
${y}^2={x}^3+68{x}+32a-16$
4096.1-c1
4096.1-c
$1$
$1$
\(\Q(\sqrt{-163}) \)
$2$
$[0, 1]$
4096.1
\( 2^{12} \)
\( 2^{42} \)
$9.12688$
$(2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Cn
$1$
\( 2^{2} \)
$1$
$1.071449865$
0.671379443
\( \frac{132651}{8} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 68\) , \( -32 a + 16\bigr] \)
${y}^2={x}^3+68{x}-32a+16$
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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.