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-k1 30492.5-k $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
30492.5
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)
\( 2^{8} \cdot 3^{4} \cdot 7 \cdot 11^{5} \)
$3.12417$
$(a), (-a+1), (-2a+1), (-2a+3), (2a+1), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2^{6} \)
$0.183593661$
$1.206794125$
5.359469747
\( -\frac{572783983993}{3689532} a - \frac{3616573017143}{4919376} \)
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -43 a + 110\) , \( -226 a - 161\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-43a+110\right){x}-226a-161$
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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.
