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
882.1-a2 882.1-a $6$
$8$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
882.1
\( 2 \cdot 3^{2} \cdot 7^{2} \)
\( 2^{2} \cdot 3^{32} \cdot 7^{4} \)
$0.97395$
$(a+1), (3), (7)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B $1$
\( 2^{6} \)
$1$
$0.342545916$
1.370183666
\( \frac{6359387729183}{4218578658} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 386\) , \( 1277\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+386{x}+1277$
7938.1-a2 7938.1-a $6$
$8$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
7938.1
\( 2 \cdot 3^{4} \cdot 7^{2} \)
\( 2^{2} \cdot 3^{44} \cdot 7^{4} \)
$1.68693$
$(a+1), (3), (7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $4$
\( 2^{4} \)
$1$
$0.114181972$
1.826911554
\( \frac{6359387729183}{4218578658} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 3474\) , \( -31010\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+3474{x}-31010$
43218.1-g2 43218.1-g $6$
$8$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
43218.1
\( 2 \cdot 3^{2} \cdot 7^{4} \)
\( 2^{2} \cdot 3^{32} \cdot 7^{16} \)
$2.57682$
$(a+1), (3), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{7} \)
$2.310811814$
$0.048935130$
7.237112237
\( \frac{6359387729183}{4218578658} \)
\( \bigl[i\) , \( 0\) , \( 0\) , \( 18913\) , \( 381333\bigr] \) ${y}^2+i{x}{y}={x}^{3}+18913{x}+381333$
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.
