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
5202.5-d8 5202.5-d $8$
$12$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
5202.5
\( 2 \cdot 3^{2} \cdot 17^{2} \)
\( 2^{12} \cdot 3^{12} \cdot 17^{2} \)
$2.14648$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{3} \cdot 3^{2} \)
$1.515022365$
$0.831735869$
3.564096622
\( \frac{1845026709625}{793152} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -256\) , \( 1550\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-256{x}+1550$
41616.5-e8 41616.5-e $8$
$12$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
41616.5
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \)
\( 2^{24} \cdot 3^{12} \cdot 17^{2} \)
$3.60993$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B $1$
\( 2^{4} \)
$1.573288479$
$0.415867934$
3.701167903
\( \frac{1845026709625}{793152} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( -1022\) , \( 12402\bigr] \) ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-1022{x}+12402$
46818.8-s8 46818.8-s $8$
$12$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
46818.8
\( 2 \cdot 3^{4} \cdot 17^{2} \)
\( 2^{12} \cdot 3^{24} \cdot 17^{2} \)
$3.71781$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{4} \cdot 3 \)
$1$
$0.277245289$
2.352504294
\( \frac{1845026709625}{793152} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -2300\) , \( -41857\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-2300{x}-41857$
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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.
