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
30000.1-b2
30000.1-b
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
30000.1
\( 2^{4} \cdot 3 \cdot 5^{4} \)
\( 2^{16} \cdot 3^{6} \cdot 5^{4} \)
$2.03695$
$(-2a+1), (2), (5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2Cn , 3B[2]
$1$
\( 2 \cdot 3 \)
$0.114155808$
$1.800705561$
2.848336760
\( -\frac{40960}{27} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( -13\) , \( -23\bigr] \)
${y}^2={x}^{3}-{x}^{2}-13{x}-23$
30000.1-c2
30000.1-c
$2$
$3$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
30000.1
\( 2^{4} \cdot 3 \cdot 5^{4} \)
\( 2^{16} \cdot 3^{6} \cdot 5^{16} \)
$2.03695$
$(-2a+1), (2), (5)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2Cn , 3B.1.1[2]
$1$
\( 2 \cdot 3^{3} \)
$1$
$0.360141112$
2.495130817
\( -\frac{40960}{27} \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( -333 a + 333\) , \( -3537\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+\left(-333a+333\right){x}-3537$
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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.