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
207.5-a1
207.5-a
$2$
$2$
\(\Q(\sqrt{13}) \)
$2$
$[2, 0]$
207.5
\( 3^{2} \cdot 23 \)
\( - 3^{6} \cdot 23^{2} \)
$1.22209$
$(-a), (3a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{2} \)
$1$
$5.183188125$
1.437557735
\( -\frac{50955500525}{529} a + \frac{117339251834}{529} \)
\( \bigl[a\) , \( -a\) , \( a\) , \( 9 a - 18\) , \( 24 a - 49\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(9a-18\right){x}+24a-49$
207.5-a2
207.5-a
$2$
$2$
\(\Q(\sqrt{13}) \)
$2$
$[2, 0]$
207.5
\( 3^{2} \cdot 23 \)
\( - 3^{6} \cdot 23 \)
$1.22209$
$(-a), (3a-4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2 \)
$1$
$10.36637625$
1.437557735
\( \frac{156803}{23} a - \frac{207479}{23} \)
\( \bigl[a\) , \( -a\) , \( a\) , \( -a - 3\) , \( a - 1\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-a-3\right){x}+a-1$
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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.