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
44.1-a1
44.1-a
$2$
$3$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
44.1
\( 2^{2} \cdot 11 \)
\( 2^{4} \cdot 11^{6} \)
$1.52661$
$(a+3), (a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 2 \)
$2.323199861$
$1.294911296$
1.814095916
\( -\frac{199794688}{1331} \)
\( \bigl[0\) , \( -1\) , \( a + 1\) , \( -1160 a - 3847\) , \( -39004 a - 129363\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-1160a-3847\right){x}-39004a-129363$
44.1-a2
44.1-a
$2$
$3$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
44.1
\( 2^{2} \cdot 11 \)
\( 2^{4} \cdot 11^{2} \)
$1.52661$
$(a+3), (a)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 2 \cdot 3 \)
$0.774399953$
$11.65420166$
1.814095916
\( \frac{8192}{11} \)
\( \bigl[0\) , \( -1\) , \( a + 1\) , \( 40 a + 133\) , \( -302 a - 1003\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(40a+133\right){x}-302a-1003$
44.1-b1
44.1-b
$2$
$3$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
44.1
\( 2^{2} \cdot 11 \)
\( 2^{4} \cdot 11^{6} \)
$1.52661$
$(a+3), (a)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B
$1$
\( 2 \cdot 3^{2} \)
$0.010037374$
$18.65468372$
2.032423436
\( -\frac{199794688}{1331} \)
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( -1160 a - 3847\) , \( 39003 a + 129357\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-1160a-3847\right){x}+39003a+129357$
44.1-b2
44.1-b
$2$
$3$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
44.1
\( 2^{2} \cdot 11 \)
\( 2^{4} \cdot 11^{2} \)
$1.52661$
$(a+3), (a)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B
$1$
\( 2 \)
$0.090336374$
$18.65468372$
2.032423436
\( \frac{8192}{11} \)
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( 40 a + 133\) , \( 301 a + 997\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(40a+133\right){x}+301a+997$
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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.