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
228.1-h1
228.1-h
$8$
$12$
\(\Q(\sqrt{57}) \)
$2$
$[2, 0]$
228.1
\( 2^{2} \cdot 3 \cdot 19 \)
\( 2^{2} \cdot 3^{4} \cdot 19^{12} \)
$2.62156$
$(a-4), (a+3), (4a+13), (10a-43)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$9$
\( 2^{4} \cdot 3 \)
$1$
$0.275427410$
3.939975182
\( -\frac{8078253774625}{846825858} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -418\) , \( -3610\bigr] \)
${y}^2+{x}{y}={x}^{3}-418{x}-3610$
228.1-s1
228.1-s
$8$
$12$
\(\Q(\sqrt{57}) \)
$2$
$[2, 0]$
228.1
\( 2^{2} \cdot 3 \cdot 19 \)
\( 2^{2} \cdot 3^{4} \cdot 19^{12} \)
$2.62156$
$(a-4), (a+3), (4a+13), (10a-43)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{3} \cdot 3 \)
$2.129702711$
$2.380767667$
0.895441686
\( -\frac{8078253774625}{846825858} \)
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( -5049692 a - 16537318\) , \( 13049407660 a + 42735729826\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-5049692a-16537318\right){x}+13049407660a+42735729826$
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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.