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
71148.2-g1 71148.2-g $4$
$6$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
71148.2
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11^{2} \)
\( 2^{4} \cdot 3^{4} \cdot 7^{6} \cdot 11^{12} \)
$2.52778$
$(-2a+1), (-3a+1), (3a-2), (2), (11)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2, 3$
2B , 3B.1.1[2] $1$
\( 2^{4} \cdot 3^{3} \)
$1$
$0.249083709$
3.451405122
\( -\frac{61653281712625}{21875235228} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -823 a + 823\) , \( -11611\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-823a+823\right){x}-11611$
Download
displayed columns for
to
Text
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.
