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
90.1-e12
90.1-e
$12$
$24$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
90.1
\( 2 \cdot 3^{2} \cdot 5 \)
\( - 2^{15} \cdot 3^{10} \cdot 5^{3} \)
$1.74072$
$(2,a), (3,a+1), (3,a+2), (5,a)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B
$16$
\( 2^{2} \cdot 3^{2} \)
$1$
$0.078024702$
1.776497566
\( \frac{4451448983765985658895227933}{656100} a + \frac{140767176767424108251921384}{6561} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -50600 a - 181335\) , \( -12006120 a - 39192277\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-50600a-181335\right){x}-12006120a-39192277$
90.1-f12
90.1-f
$12$
$24$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
90.1
\( 2 \cdot 3^{2} \cdot 5 \)
\( - 2^{3} \cdot 3^{10} \cdot 5^{3} \)
$1.74072$
$(2,a), (3,a+1), (3,a+2), (5,a)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.2
$36$
\( 2^{4} \)
$1$
$0.078024702$
1.776497566
\( \frac{4451448983765985658895227933}{656100} a + \frac{140767176767424108251921384}{6561} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -12650 a - 45334\) , \( -1494440 a - 4876368\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(-12650a-45334\right){x}-1494440a-4876368$
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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.