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
1089.2-a3 1089.2-a $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
1089.2
\( 3^{2} \cdot 11^{2} \)
\( 3^{6} \cdot 11^{2} \)
$1.35814$
$(-2a+3), (2a+1), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 3 \)
$1$
$4.102343908$
2.325810380
\( \frac{30664297}{297} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -6\) , \( -9\bigr] \) ${y}^2+{x}{y}={x}^{3}+{x}^{2}-6{x}-9$
9801.2-b3 9801.2-b $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
9801.2
\( 3^{4} \cdot 11^{2} \)
\( 3^{18} \cdot 11^{2} \)
$2.35237$
$(-2a+3), (2a+1), (3)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{2} \)
$3.039211695$
$1.367447969$
1.570806691
\( \frac{30664297}{297} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -59\) , \( 186\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-59{x}+186$
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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.
