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-a1 30000.1-a $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
30000.1
\( 2^{4} \cdot 3 \cdot 5^{4} \)
\( 2^{16} \cdot 3^{8} \cdot 5^{6} \)
$2.03695$
$(-2a+1), (2), (5)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{2} \cdot 3 \)
$0.242367865$
$1.194057852$
2.005030697
\( \frac{5488}{81} \)
\( \bigl[0\) , \( a\) , \( 0\) , \( 12 a - 12\) , \( 72\bigr] \) ${y}^2={x}^{3}+a{x}^{2}+\left(12a-12\right){x}+72$
30000.1-d1 30000.1-d $2$
$2$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
30000.1
\( 2^{4} \cdot 3 \cdot 5^{4} \)
\( 2^{16} \cdot 3^{8} \cdot 5^{18} \)
$2.03695$
$(-2a+1), (2), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{4} \cdot 3 \)
$1$
$0.238811570$
3.309070189
\( \frac{5488}{81} \)
\( \bigl[0\) , \( 1\) , \( 0\) , \( 292\) , \( 9588\bigr] \) ${y}^2={x}^{3}+{x}^{2}+292{x}+9588$
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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.
