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
3364.5-a1
3364.5-a
$1$
$1$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
3364.5
\( 2^{2} \cdot 29^{2} \)
\( 2^{4} \cdot 29^{2} \)
$1.80054$
$(a), (-a+1), (-4a+1), (4a-3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$1$
\( 2^{2} \)
$0.042420307$
$6.076671167$
1.558872206
\( -\frac{185193}{116} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -1\) , \( 1\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-{x}+1$
3364.5-b1
3364.5-b
$2$
$5$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
3364.5
\( 2^{2} \cdot 29^{2} \)
\( 2^{4} \cdot 29^{10} \)
$1.80054$
$(a), (-a+1), (-4a+1), (4a-3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.2
$1$
\( 2^{2} \)
$1.721561078$
$0.499409968$
5.199368580
\( -\frac{10418796526321}{82044596} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -455\) , \( -3951\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-455{x}-3951$
3364.5-b2
3364.5-b
$2$
$5$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
3364.5
\( 2^{2} \cdot 29^{2} \)
\( 2^{20} \cdot 29^{2} \)
$1.80054$
$(a), (-a+1), (-4a+1), (4a-3)$
$1$
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5B.1.1
$1$
\( 2^{2} \cdot 5^{2} \)
$0.344312215$
$2.497049844$
5.199368580
\( \frac{13651919}{29696} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 5\) , \( 9\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+5{x}+9$
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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.