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
2500.1-a4 2500.1-a $4$
$15$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
2500.1
\( 2^{2} \cdot 5^{4} \)
\( 2^{30} \cdot 5^{4} \)
$1.09442$
$(2), (5)$
0
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3, 5$
3B[2] , 5B.1.1 $1$
\( 3 \cdot 5 \)
$1$
$1.424166746$
0.986691665
\( \frac{46969655}{32768} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 22\) , \( -9\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+22{x}-9$
2500.1-b4 2500.1-b $4$
$15$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
2500.1
\( 2^{2} \cdot 5^{4} \)
\( 2^{30} \cdot 5^{16} \)
$1.09442$
$(2), (5)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3, 5$
3B.1.1[2] , 5B.1.4 $1$
\( 3^{2} \cdot 5 \)
$1$
$0.284833349$
1.644486109
\( \frac{46969655}{32768} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 549\) , \( -2202\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+549{x}-2202$
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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.
