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-g1
5202.5-g
$2$
$2$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
5202.5
\( 2 \cdot 3^{2} \cdot 17^{2} \)
\( 2^{5} \cdot 3^{24} \cdot 17^{3} \)
$2.14648$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2$
2B
$1$
\( 2^{3} \cdot 5 \)
$1$
$0.545397751$
3.856544483
\( -\frac{32297532210782725}{72553009816008} a + \frac{60468973557987577}{18138252454002} \)
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 89 a - 137\) , \( -532 a + 213\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(89a-137\right){x}-532a+213$
41616.5-m1
41616.5-m
$2$
$2$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
41616.5
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \)
\( 2^{17} \cdot 3^{24} \cdot 17^{3} \)
$3.60993$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{5} \cdot 11 \)
$0.122174971$
$0.272698875$
4.146324253
\( -\frac{32297532210782725}{72553009816008} a + \frac{60468973557987577}{18138252454002} \)
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 361 a - 544\) , \( -3708 a + 2421\bigr] \)
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(361a-544\right){x}-3708a+2421$
46818.8-b1
46818.8-b
$2$
$2$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
46818.8
\( 2 \cdot 3^{4} \cdot 17^{2} \)
\( 2^{5} \cdot 3^{36} \cdot 17^{3} \)
$3.71781$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{5} \)
$1$
$0.181799250$
1.028411862
\( -\frac{32297532210782725}{72553009816008} a + \frac{60468973557987577}{18138252454002} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 810 a - 1224\) , \( 12316 a - 6136\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(810a-1224\right){x}+12316a-6136$
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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.