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
27900.2-b1
27900.2-b
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
27900.2
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 31 \)
\( 2^{4} \cdot 3^{6} \cdot 5^{20} \cdot 31 \)
$2.00032$
$(-2a+1), (6a-5), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$4$
\( 2^{3} \)
$1$
$0.316203733$
2.920964966
\( \frac{507226797683}{242187500} a + \frac{309491975847}{605468750} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 258 a - 579\) , \( 1203 a - 4041\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(258a-579\right){x}+1203a-4041$
96100.3-a1
96100.3-a
$2$
$2$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
96100.3
\( 2^{2} \cdot 5^{2} \cdot 31^{2} \)
\( 2^{4} \cdot 5^{20} \cdot 31^{7} \)
$2.72508$
$(6a-5), (2), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \cdot 5 \)
$1.498448154$
$0.098366399$
3.403986729
\( \frac{507226797683}{242187500} a + \frac{309491975847}{605468750} \)
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 5809 a - 1609\) , \( -101245 a - 36864\bigr] \)
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(5809a-1609\right){x}-101245a-36864$
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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.