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
900.1-f3 900.1-f $4$
$4$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
900.1
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \)
$1.38434$
$(a), (3), (5)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2Cs $1$
\( 2^{2} \cdot 3 \)
$0.160923158$
$23.30287138$
1.988722790
\( -\frac{583258208}{225} a + \frac{275765456}{75} \)
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 23 a - 36\) , \( -56 a + 80\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(23a-36\right){x}-56a+80$
3600.1-n3 3600.1-n $4$
$4$
\(\Q(\sqrt{2}) \) $2$
$[2, 0]$
3600.1
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \)
$1.95776$
$(a), (3), (5)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2Cs $4$
\( 2^{2} \)
$1$
$6.311152861$
2.231329492
\( -\frac{583258208}{225} a + \frac{275765456}{75} \)
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 25 a - 35\) , \( 80 a - 116\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(25a-35\right){x}+80a-116$
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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.
