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
107.1-A2 107.1-A $3$
$9$
3.1.23.1 $3$
$[1, 1]$
107.1
\( 107 \)
\( - 107^{3} \)
$0.93376$
$(5a^2-3a)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$3$
3Cs.1.1 $1$
\( 1 \)
$1$
$8.012982497$
0.371293855
\( -\frac{13431610740736}{1225043} a^{2} - \frac{34043228901376}{1225043} a - \frac{18044231077888}{1225043} \)
\( \bigl[0\) , \( a^{2} - a + 1\) , \( a^{2} + a\) , \( -30 a^{2} - 11 a + 11\) , \( -101 a^{2} + 29 a + 80\bigr] \) ${y}^2+\left(a^{2}+a\right){y}={x}^{3}+\left(a^{2}-a+1\right){x}^{2}+\left(-30a^{2}-11a+11\right){x}-101a^{2}+29a+80$
11449.2-A2 11449.2-A $3$
$9$
3.1.23.1 $3$
$[1, 1]$
11449.2
\( 107^{2} \)
\( - 107^{9} \)
$2.03453$
$(5a^2-3a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $3$
3Cs $1$
\( 2^{2} \)
$0.354990366$
$1.074326574$
1.908535357
\( -\frac{13431610740736}{1225043} a^{2} - \frac{34043228901376}{1225043} a - \frac{18044231077888}{1225043} \)
\( \bigl[0\) , \( a^{2} - a\) , \( a\) , \( 742 a^{2} - 186 a - 552\) , \( 8443 a^{2} + 1063 a - 3975\bigr] \) ${y}^2+a{y}={x}^{3}+\left(a^{2}-a\right){x}^{2}+\left(742a^{2}-186a-552\right){x}+8443a^{2}+1063a-3975$
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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.
