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
6.2-a1
6.2-a
$1$
$1$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
6.2
\( 2 \cdot 3 \)
\( 2 \cdot 3^{8} \)
$2.06019$
$(-a+8), (-52a+409)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 2^{3} \)
$1$
$16.22987535$
8.814045832
\( \frac{1333879}{13122} a + \frac{368465}{486} \)
\( \bigl[a + 1\) , \( 0\) , \( a\) , \( 1454820719431 a + 9988013356524\) , \( 857134272549098597 a + 5884621003953910568\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(1454820719431a+9988013356524\right){x}+857134272549098597a+5884621003953910568$
6.2-b1
6.2-b
$1$
$1$
\(\Q(\sqrt{217}) \)
$2$
$[2, 0]$
6.2
\( 2 \cdot 3 \)
\( 2 \cdot 3^{8} \)
$2.06019$
$(-a+8), (-52a+409)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$1$
\( 2 \)
$2.451506314$
$9.778072031$
6.509031491
\( \frac{1333879}{13122} a + \frac{368465}{486} \)
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 7 a + 83\) , \( 20 a + 171\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(7a+83\right){x}+20a+171$
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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.