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
900.1-a1
900.1-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
900.1
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \)
$0.84773$
$(-2a+1), (2), (5)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1[2]
$1$
\( 2^{2} \cdot 3 \)
$1$
$2.819962089$
1.085403914
\( -\frac{1860867}{320} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -8\) , \( 11\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-8{x}+11$
900.1-a2
900.1-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
900.1
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \)
$0.84773$
$(-2a+1), (2), (5)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1[2]
$1$
\( 2^{2} \cdot 3 \)
$1$
$2.819962089$
1.085403914
\( \frac{804357}{500} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 6\) , \( 0\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}+6{x}$
900.1-a3
900.1-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
900.1
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{2} \cdot 3^{6} \cdot 5^{12} \)
$0.84773$
$(-2a+1), (2), (5)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1[2]
$1$
\( 2^{3} \cdot 3 \)
$1$
$1.409981044$
1.085403914
\( \frac{57960603}{31250} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -24\) , \( 18\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-24{x}+18$
900.1-a4
900.1-a
$4$
$6$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
900.1
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \)
$0.84773$
$(-2a+1), (2), (5)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1[2]
$1$
\( 2^{3} \cdot 3 \)
$1$
$1.409981044$
1.085403914
\( \frac{8527173507}{200} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( -128\) , \( 587\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-128{x}+587$
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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.