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
605.1-c4 605.1-c $6$
$8$
\(\Q(\sqrt{5}) \) $2$
$[2, 0]$
605.1
\( 5 \cdot 11^{2} \)
\( 5^{2} \cdot 11^{8} \)
$0.99097$
$(-2a+1), (-3a+2), (-3a+1)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{3} \)
$0.596122623$
$4.232646692$
1.128398811
\( \frac{2749884201}{73205} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -29\) , \( -52\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-29{x}-52$
3025.1-b4 3025.1-b $6$
$8$
\(\Q(\sqrt{5}) \) $2$
$[2, 0]$
3025.1
\( 5^{2} \cdot 11^{2} \)
\( 5^{8} \cdot 11^{8} \)
$1.48185$
$(-2a+1), (-3a+2), (-3a+1)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2$
2Cs $1$
\( 2^{4} \)
$1$
$5.299986074$
2.370225828
\( \frac{2749884201}{73205} \)
\( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( -145 \phi - 145\) , \( 1040 \phi + 780\bigr] \) ${y}^2+\left(\phi+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-145\phi-145\right){x}+1040\phi+780$
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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.
