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
25.1-a1 25.1-a $2$
$2$
3.3.148.1 $3$
$[3, 0]$
25.1
\( 5^{2} \)
\( - 5^{4} \)
$1.85891$
$(-2a^2+a+4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 2 \)
$1$
$27.32435168$
1.123023936
\( \frac{344767070183}{25} a^{2} - \frac{855434265001}{25} a + \frac{232763312321}{25} \)
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 6 a - 10\) , \( -4 a^{2} + 12 a - 9\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-10\right){x}-4a^{2}+12a-9$
25.1-a2 25.1-a $2$
$2$
3.3.148.1 $3$
$[3, 0]$
25.1
\( 5^{2} \)
\( 5^{2} \)
$1.85891$
$(-2a^2+a+4)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2B $1$
\( 1 \)
$1$
$54.64870337$
1.123023936
\( -\frac{227751}{5} a^{2} + \frac{569694}{5} a - \frac{154858}{5} \)
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( a\) , \( -1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-1$
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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.
