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
30492.5-r3 30492.5-r $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
30492.5
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)
\( 2^{28} \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \)
$3.12417$
$(a), (-a+1), (-2a+1), (-2a+3), (2a+1), (3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{6} \cdot 3 \cdot 7^{2} \)
$0.039411059$
$0.316157574$
11.07669005
\( -\frac{7347774183121}{6119866368} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -405\) , \( 4731\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-405{x}+4731$
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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.
