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
27500.3-o2 27500.3-o $2$
$5$
\(\Q(\sqrt{-11}) \) $2$
$[0, 1]$
27500.3
\( 2^{2} \cdot 5^{4} \cdot 11 \)
\( 2^{10} \cdot 5^{22} \cdot 11^{2} \)
$3.81652$
$(-a-1), (a-2), (-2a+1), (2)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$5$
5B.1.4 $1$
\( 2^{3} \cdot 5 \)
$0.632146461$
$0.275229175$
8.393359421
\( \frac{109902239}{1100000} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 249\) , \( -6102\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+249{x}-6102$
220.2-c2 220.2-c $2$
$5$
\(\Q(\sqrt{-55}) \) $2$
$[0, 1]$
220.2
\( 2^{2} \cdot 5 \cdot 11 \)
\( 2^{10} \cdot 5^{22} \cdot 11^{2} \)
$2.55226$
$(2,a), (2,a+1), (5,a+2), (11,a+5)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.1.4 $1$
\( 2^{2} \cdot 5 \)
$0.138104932$
$1.376145879$
2.050134267
\( \frac{109902239}{1100000} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 249\) , \( -6102\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+249{x}-6102$
2420.1-b2 2420.1-b $2$
$5$
\(\Q(\sqrt{5}) \) $2$
$[2, 0]$
2420.1
\( 2^{2} \cdot 5 \cdot 11^{2} \)
\( 2^{10} \cdot 5^{10} \cdot 11^{2} \)
$1.40145$
$(-2a+1), (-3a+2), (-3a+1), (2)$
0
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.1.1[2] $1$
\( 2 \cdot 5^{2} \)
$1$
$1.848353945$
1.653218027
\( \frac{109902239}{1100000} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 10\) , \( -45\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+10{x}-45$
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Pari/GP
SageMath
Magma
Oscar
CSV
*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.
