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
200.1-b4
200.1-b
$4$
$4$
\(\Q(\sqrt{19}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{2} \)
$2.92956$
$(-3a+13), (2a+9), (-2a+9)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{2} \)
$4.625837275$
$4.406960782$
4.676842414
\( \frac{132304644}{5} \)
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 354711 a - 1546097\) , \( 240006580 a - 1046164355\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(354711a-1546097\right){x}+240006580a-1046164355$
200.1-e4
200.1-e
$4$
$4$
\(\Q(\sqrt{19}) \)
$2$
$[2, 0]$
200.1
\( 2^{3} \cdot 5^{2} \)
\( 2^{8} \cdot 5^{2} \)
$2.92956$
$(-3a+13), (2a+9), (-2a+9)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2 \)
$1$
$32.60784567$
1.870188211
\( \frac{132304644}{5} \)
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 354710 a - 1546107\) , \( -240133867 a + 1046719325\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(354710a-1546107\right){x}-240133867a+1046719325$
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Pari/GP
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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.