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-l2 30492.5-l $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
30492.5
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \)
\( 2^{9} \cdot 3^{8} \cdot 7^{8} \cdot 11^{5} \)
$3.12417$
$(a), (-a+1), (-2a+1), (-2a+3), (2a+1), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2^{7} \cdot 7 \)
$0.042663558$
$0.393106738$
5.679715075
\( \frac{8795793561707}{17355558528} a + \frac{476155147157027}{364466729088} \)
\( \bigl[1\) , \( -a\) , \( 0\) , \( 204 a - 235\) , \( -768 a + 1241\bigr] \) ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(204a-235\right){x}-768a+1241$
Download
displayed columns for
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.
