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
320.1-g6 320.1-g $8$
$16$
\(\Q(\zeta_{20})^+\) $4$
$[4, 0]$
320.1
\( 2^{6} \cdot 5 \)
\( 2^{16} \cdot 5^{4} \)
$8.21859$
$(a), (a^3-a^2-3a+2)$
0
$\Z/2\Z\oplus\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{4} \)
$1$
$1242.963413$
1.737094179
\( \frac{55296}{5} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) ${y}^2={x}^{3}-2{x}+1$
320.1-h6 320.1-h $8$
$16$
\(\Q(\zeta_{20})^+\) $4$
$[4, 0]$
320.1
\( 2^{6} \cdot 5 \)
\( 2^{16} \cdot 5^{4} \)
$8.21859$
$(a), (a^3-a^2-3a+2)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{3} \)
$0.233348375$
$265.8178999$
2.773984325
\( \frac{55296}{5} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( -1\bigr] \) ${y}^2={x}^{3}-2{x}-1$
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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.
