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
$1$
$1$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
6.2
\( 2 \cdot 3 \)
\( 2^{12} \cdot 3^{3} \)
$1.31195$
$(-3a-14), (-a+5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Ns
$1$
\( 2 \)
$1$
$3.573900650$
0.761958178
\( \frac{65943025}{1728} a - \frac{309105391}{1728} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( 2408 a - 11294\) , \( 140640 a - 659660\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(2408a-11294\right){x}+140640a-659660$
6.2-b1
6.2-b
$1$
$1$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
6.2
\( 2 \cdot 3 \)
\( 2^{12} \cdot 3^{3} \)
$1.31195$
$(-3a-14), (-a+5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3Ns
$1$
\( 2^{2} \cdot 3 \)
$0.036515194$
$21.52784636$
2.011148379
\( \frac{65943025}{1728} a - \frac{309105391}{1728} \)
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 11 a + 52\) , \( 84 a + 394\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(11a+52\right){x}+84a+394$
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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.