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
1458.1-x2 1458.1-x $2$
$3$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
1458.1
\( 2 \cdot 3^{6} \)
\( - 2^{5} \cdot 3^{18} \)
$1.56179$
$(a), (3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $3$
3B.1.2 $1$
\( 5 \)
$0.595179863$
$1.495035230$
3.145970620
\( -\frac{2076705297}{8} a + \frac{734226957}{2} \)
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 183 a - 243\) , \( 1444 a - 2063\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(183a-243\right){x}+1444a-2063$
1458.1-y2 1458.1-y $2$
$3$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
1458.1
\( 2 \cdot 3^{6} \)
\( - 2^{5} \cdot 3^{6} \)
$1.56179$
$(a), (3)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $3$
3B.1.1 $1$
\( 1 \)
$1$
$19.82237272$
0.778696342
\( -\frac{2076705297}{8} a + \frac{734226957}{2} \)
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 20 a - 27\) , \( -65 a + 94\bigr] \) ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(20a-27\right){x}-65a+94$
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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.
