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
3025.1-a2 3025.1-a $4$
$4$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
3025.1
\( 5^{2} \cdot 11^{2} \)
\( 5^{4} \cdot 11^{4} \)
$1.14784$
$(5), (11)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2Cs $1$
\( 2^{2} \)
$0.659315890$
$3.541244221$
1.347996592
\( \frac{8120601}{3025} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -4 a + 4\) , \( 3\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-4a+4\right){x}+3$
75625.1-a2 75625.1-a $4$
$4$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
75625.1
\( 5^{4} \cdot 11^{2} \)
\( 5^{16} \cdot 11^{4} \)
$2.56664$
$(5), (11)$
$2$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{3} \)
$2.572263179$
$0.708248844$
4.207272481
\( \frac{8120601}{3025} \)
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( -105 a + 104\) , \( 272\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-105a+104\right){x}+272$
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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.
