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
2214.12-d2 2214.12-d $4$
$4$
\(\Q(\sqrt{-23}) \) $2$
$[0, 1]$
2214.12
\( 2 \cdot 3^{3} \cdot 41 \)
\( 2^{13} \cdot 3^{14} \cdot 41 \)
$2.93966$
$(2,a+1), (3,a), (3,a+2), (41,a+25)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2Cs $1$
\( 2^{3} \)
$1$
$2.640298093$
2.202160839
\( -\frac{60343}{2214} a + \frac{5886962}{3321} \)
\( \bigl[a\) , \( a\) , \( a\) , \( 6 a + 18\) , \( 2 a - 17\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^3+a{x}^2+\left(6a+18\right){x}+2a-17$
2214.14-a2 2214.14-a $4$
$4$
\(\Q(\sqrt{-23}) \) $2$
$[0, 1]$
2214.14
\( 2 \cdot 3^{3} \cdot 41 \)
\( 2 \cdot 3^{14} \cdot 41 \)
$2.93966$
$(2,a+1), (3,a), (3,a+2), (41,a+25)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2Cs $1$
\( 2^{3} \)
$0.319957630$
$2.640298093$
2.818392654
\( -\frac{60343}{2214} a + \frac{5886962}{3321} \)
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 4 a - 3\) , \( 2 a - 6\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+\left(a+1\right){x}^2+\left(4a-3\right){x}+2a-6$
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.
