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
225.3-a1
225.3-a
$2$
$2$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
225.3
\( 3^{2} \cdot 5^{2} \)
\( 3^{4} \cdot 5^{14} \)
$2.58987$
$(-a+3), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$1$
$2.145123977$
0.573308498
\( \frac{819094016}{3515625} a + \frac{958947776}{1171875} \)
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 146 a + 561\) , \( 222 a + 839\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(146a+561\right){x}+222a+839$
225.3-h1
225.3-h
$2$
$2$
\(\Q(\sqrt{14}) \)
$2$
$[2, 0]$
225.3
\( 3^{2} \cdot 5^{2} \)
\( 3^{4} \cdot 5^{14} \)
$2.58987$
$(-a+3), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
$2$
2B
$1$
\( 2^{3} \)
$1$
$4.033152475$
1.077905339
\( \frac{819094016}{3515625} a + \frac{958947776}{1171875} \)
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 18 a - 55\) , \( -419 a + 1579\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(18a-55\right){x}-419a+1579$
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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.