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 |
44800.5-a1 |
44800.5-a |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 5^{2} \cdot 7^{6} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \) |
$0.479507506$ |
$0.597444024$ |
6.929846033 |
\( -\frac{225637236736}{1715} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -805\) , \( 9065\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-805{x}+9065$ |
44800.5-a2 |
44800.5-a |
$2$ |
$3$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 5^{6} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.053278611$ |
$1.792332073$ |
6.929846033 |
\( -\frac{65536}{875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -5\) , \( 25\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-5{x}+25$ |
44800.5-b1 |
44800.5-b |
$3$ |
$9$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{24} \cdot 5^{18} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.193743800$ |
2.636217845 |
\( -\frac{250523582464}{13671875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2101\) , \( 39485\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-2101{x}+39485$ |
44800.5-b2 |
44800.5-b |
$3$ |
$9$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{24} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$1.743694205$ |
2.636217845 |
\( -\frac{262144}{35} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -21\) , \( -35\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-21{x}-35$ |
44800.5-b3 |
44800.5-b |
$3$ |
$9$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{24} \cdot 5^{6} \cdot 7^{6} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$3$ |
3Cs |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.581231401$ |
2.636217845 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 139\) , \( 61\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+139{x}+61$ |
44800.5-c1 |
44800.5-c |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{25} \cdot 5^{4} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.414363941$ |
$1.645370059$ |
4.123030127 |
\( -\frac{1457}{140} a + \frac{563}{350} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3 a + 2\) , \( -20 a + 24\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-3a+2\right){x}-20a+24$ |
44800.5-c2 |
44800.5-c |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.207181970$ |
$1.645370059$ |
4.123030127 |
\( -\frac{1889729}{70} a + \frac{1616511}{35} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 27 a - 17\) , \( -44 a - 44\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(27a-17\right){x}-44a-44$ |
44800.5-d1 |
44800.5-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{25} \cdot 5^{4} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.414363941$ |
$1.645370059$ |
4.123030127 |
\( \frac{1457}{140} a - \frac{6159}{700} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 3 a - 1\) , \( 20 a + 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(3a-1\right){x}+20a+4$ |
44800.5-d2 |
44800.5-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.207181970$ |
$1.645370059$ |
4.123030127 |
\( \frac{1889729}{70} a + \frac{191899}{10} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -27 a + 10\) , \( 44 a - 88\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-27a+10\right){x}+44a-88$ |
44800.5-e1 |
44800.5-e |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{20} \cdot 5^{2} \cdot 7^{4} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$0.518919231$ |
$1.691512904$ |
5.308184923 |
\( \frac{249856}{245} a + \frac{421888}{245} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -13 a + 10\) , \( a - 14\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-13a+10\right){x}+a-14$ |
44800.5-f1 |
44800.5-f |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{20} \cdot 5^{2} \cdot 7^{4} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$0.518919231$ |
$1.691512904$ |
5.308184923 |
\( -\frac{249856}{245} a + \frac{671744}{245} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 13 a - 3\) , \( -a - 13\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-3\right){x}-a-13$ |
44800.5-g1 |
44800.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{44} \cdot 5^{2} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.285530937$ |
$0.717053939$ |
4.955413474 |
\( \frac{741041193}{36700160} a + \frac{196817993}{7340032} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -21 a + 7\) , \( -76 a - 312\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-21a+7\right){x}-76a-312$ |
44800.5-g2 |
44800.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{8} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.571382734$ |
$0.717053939$ |
4.955413474 |
\( \frac{68488403}{140000} a + \frac{540576223}{140000} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -85 a + 39\) , \( 172 a - 292\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-85a+39\right){x}+172a-292$ |
44800.5-g3 |
44800.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{34} \cdot 5^{4} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.142765468$ |
$0.717053939$ |
4.955413474 |
\( -\frac{523907907}{179200} a + \frac{3285243089}{179200} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -27 a + 162\) , \( -436 a - 36\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-27a+162\right){x}-436a-36$ |
44800.5-g4 |
44800.5-g |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{2} \cdot 7^{4} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.285530937$ |
$0.358526969$ |
4.955413474 |
\( -\frac{739298508457}{7840} a + \frac{457662685527}{1568} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -427 a + 2562\) , \( -31556 a - 196\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-427a+2562\right){x}-31556a-196$ |
44800.5-h1 |
44800.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{44} \cdot 5^{2} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.285530937$ |
$0.717053939$ |
4.955413474 |
\( -\frac{741041193}{36700160} a + \frac{862565579}{18350080} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 21 a - 14\) , \( 76 a - 388\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(21a-14\right){x}+76a-388$ |
44800.5-h2 |
44800.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{8} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.571382734$ |
$0.717053939$ |
4.955413474 |
\( -\frac{68488403}{140000} a + \frac{304532313}{70000} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 85 a - 46\) , \( -172 a - 120\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(85a-46\right){x}-172a-120$ |
44800.5-h3 |
44800.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{34} \cdot 5^{4} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.142765468$ |
$0.717053939$ |
4.955413474 |
\( \frac{523907907}{179200} a + \frac{1380667591}{89600} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 27 a + 135\) , \( 436 a - 472\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(27a+135\right){x}+436a-472$ |
44800.5-h4 |
44800.5-h |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{29} \cdot 5^{2} \cdot 7^{4} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.285530937$ |
$0.358526969$ |
4.955413474 |
\( \frac{739298508457}{7840} a + \frac{774507459589}{3920} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 427 a + 2135\) , \( 31556 a - 31752\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(427a+2135\right){x}+31556a-31752$ |
44800.5-i1 |
44800.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{20} \cdot 5^{2} \cdot 7^{3} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.765755385$ |
2.315426645 |
\( \frac{20982133257}{245} a - \frac{30739471907}{245} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -361 a + 303\) , \( -1284 a + 4748\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-361a+303\right){x}-1284a+4748$ |
44800.5-i2 |
44800.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{12} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.382877692$ |
2.315426645 |
\( \frac{1326891193}{588245} a - \frac{556450233}{588245} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 213 a + 114\) , \( -84 a - 2884\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(213a+114\right){x}-84a-2884$ |
44800.5-i3 |
44800.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{22} \cdot 5^{4} \cdot 7^{6} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.765755385$ |
2.315426645 |
\( -\frac{68333367}{8575} a - \frac{16129}{25} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 13 a + 114\) , \( -364 a + 236\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(13a+114\right){x}-364a+236$ |
44800.5-i4 |
44800.5-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{8} \cdot 7^{3} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.765755385$ |
2.315426645 |
\( \frac{416137}{30625} a - \frac{15640069}{30625} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -5 a + 55\) , \( -252 a + 56\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-5a+55\right){x}-252a+56$ |
44800.5-j1 |
44800.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{20} \cdot 5^{2} \cdot 7^{3} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.765755385$ |
2.315426645 |
\( -\frac{20982133257}{245} a - \frac{1951467730}{49} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 361 a - 58\) , \( 1284 a + 3464\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(361a-58\right){x}+1284a+3464$ |
44800.5-j2 |
44800.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{22} \cdot 5^{4} \cdot 7^{6} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.765755385$ |
2.315426645 |
\( \frac{68333367}{8575} a - \frac{73865614}{8575} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -13 a + 127\) , \( 364 a - 128\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-13a+127\right){x}+364a-128$ |
44800.5-j3 |
44800.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{8} \cdot 7^{3} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.765755385$ |
2.315426645 |
\( -\frac{416137}{30625} a - \frac{15223932}{30625} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 5 a + 50\) , \( 252 a - 196\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(5a+50\right){x}+252a-196$ |
44800.5-j4 |
44800.5-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{2} \cdot 7^{12} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.382877692$ |
2.315426645 |
\( -\frac{1326891193}{588245} a + \frac{154088192}{117649} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -213 a + 327\) , \( 84 a - 2968\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-213a+327\right){x}+84a-2968$ |
44800.5-k1 |
44800.5-k |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 5^{10} \cdot 7^{6} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
|
|
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$0.457060343$ |
3.455051437 |
\( -\frac{30211716096}{1071875} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -412\) , \( -3316\bigr] \) |
${y}^2={x}^{3}-412{x}-3316$ |
44800.5-l1 |
44800.5-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{12} \cdot 7^{3} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.168671230$ |
3.060083166 |
\( \frac{185012985079}{78400000} a - \frac{650824056453}{196000000} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 57 a + 1914\) , \( 27314 a - 22200\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(57a+1914\right){x}+27314a-22200$ |
44800.5-l2 |
44800.5-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{45} \cdot 5^{6} \cdot 7^{6} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.168671230$ |
3.060083166 |
\( -\frac{9103345957169}{11239424000} a - \frac{4743040859549}{5619712000} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 536 a + 1120\) , \( 21632 a - 26860\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(536a+1120\right){x}+21632a-26860$ |
44800.5-l3 |
44800.5-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{45} \cdot 5^{4} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.506013690$ |
3.060083166 |
\( -\frac{3747996503}{9175040} a + \frac{81235193761}{45875200} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -23 a - 166\) , \( -126 a + 616\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-23a-166\right){x}-126a+616$ |
44800.5-l4 |
44800.5-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{79} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{5} \) |
$1$ |
$0.056223743$ |
3.060083166 |
\( \frac{41282203518025836237719}{630503947831869440} a + \frac{73009411794585148408203}{315251973915934720} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -30264 a + 23520\) , \( 1086752 a - 3364460\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-30264a+23520\right){x}+1086752a-3364460$ |
44800.5-l5 |
44800.5-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.506013690$ |
3.060083166 |
\( -\frac{13113497519}{17920} a + \frac{6018146637}{17920} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 456 a - 320\) , \( 3872 a + 1108\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(456a-320\right){x}+3872a+1108$ |
44800.5-l6 |
44800.5-l |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{53} \cdot 5^{4} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{5} \) |
$1$ |
$0.056223743$ |
3.060083166 |
\( \frac{810722517917135481181}{23488102400} a + \frac{525145258848812643673}{11744051200} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 10057 a + 157914\) , \( 19030114 a - 12691800\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(10057a+157914\right){x}+19030114a-12691800$ |
44800.5-m1 |
44800.5-m |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.506013690$ |
3.060083166 |
\( \frac{13113497519}{17920} a - \frac{3547675441}{8960} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -456 a + 136\) , \( -3872 a + 4980\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-456a+136\right){x}-3872a+4980$ |
44800.5-m2 |
44800.5-m |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{45} \cdot 5^{6} \cdot 7^{6} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.168671230$ |
3.060083166 |
\( \frac{9103345957169}{11239424000} a - \frac{2655632525181}{1605632000} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -536 a + 1656\) , \( -21632 a - 5228\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-536a+1656\right){x}-21632a-5228$ |
44800.5-m3 |
44800.5-m |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{39} \cdot 5^{12} \cdot 7^{3} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.168671230$ |
3.060083166 |
\( -\frac{185012985079}{78400000} a - \frac{376583187511}{392000000} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -55 a + 1970\) , \( -27370 a + 7084\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-55a+1970\right){x}-27370a+7084$ |
44800.5-m4 |
44800.5-m |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{45} \cdot 5^{4} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.506013690$ |
3.060083166 |
\( \frac{3747996503}{9175040} a + \frac{31247605623}{22937600} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 25 a - 190\) , \( 150 a + 300\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(25a-190\right){x}+150a+300$ |
44800.5-m5 |
44800.5-m |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{79} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{5} \) |
$1$ |
$0.056223743$ |
3.060083166 |
\( -\frac{41282203518025836237719}{630503947831869440} a + \frac{37460205421439226610825}{126100789566373888} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 30264 a - 6744\) , \( -1086752 a - 2277708\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(30264a-6744\right){x}-1086752a-2277708$ |
44800.5-m6 |
44800.5-m |
$6$ |
$18$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{53} \cdot 5^{4} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{5} \) |
$1$ |
$0.056223743$ |
3.060083166 |
\( -\frac{810722517917135481181}{23488102400} a + \frac{1861013035614760768527}{23488102400} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -10055 a + 167970\) , \( -19040170 a + 6506284\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-10055a+167970\right){x}-19040170a+6506284$ |
44800.5-n1 |
44800.5-n |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{34} \cdot 5^{2} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.227882656$ |
$0.924987233$ |
3.434263157 |
\( \frac{385902711}{8960} a - \frac{838409589}{4480} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -96 a - 11\) , \( 480 a - 326\bigr] \) |
${y}^2={x}^{3}+\left(-96a-11\right){x}+480a-326$ |
44800.5-n2 |
44800.5-n |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{34} \cdot 5^{2} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.227882656$ |
$0.924987233$ |
3.434263157 |
\( -\frac{385902711}{8960} a - \frac{1290916467}{8960} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 96 a - 107\) , \( -480 a + 154\bigr] \) |
${y}^2={x}^{3}+\left(96a-107\right){x}-480a+154$ |
44800.5-n3 |
44800.5-n |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{32} \cdot 5^{4} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.613941328$ |
$0.924987233$ |
3.434263157 |
\( \frac{1367631}{2800} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 37\) , \( 138\bigr] \) |
${y}^2={x}^{3}+37{x}+138$ |
44800.5-n4 |
44800.5-n |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{28} \cdot 5^{8} \cdot 7^{4} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1.227882656$ |
$0.462493616$ |
3.434263157 |
\( \frac{611960049}{122500} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -283\) , \( 1482\bigr] \) |
${y}^2={x}^{3}-283{x}+1482$ |
44800.5-n5 |
44800.5-n |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{26} \cdot 5^{16} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$2.455765312$ |
$0.231246808$ |
3.434263157 |
\( \frac{74565301329}{5468750} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -1403\) , \( -18902\bigr] \) |
${y}^2={x}^{3}-1403{x}-18902$ |
44800.5-n6 |
44800.5-n |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{26} \cdot 5^{4} \cdot 7^{8} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$0.613941328$ |
$0.231246808$ |
3.434263157 |
\( \frac{2121328796049}{120050} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -4283\) , \( 107882\bigr] \) |
${y}^2={x}^{3}-4283{x}+107882$ |
44800.5-o1 |
44800.5-o |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
|
|
$1$ |
\( 2 \) |
$0.623515903$ |
$3.073025053$ |
5.793681315 |
\( -\frac{1024}{35} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1\) , \( -5\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-{x}-5$ |
44800.5-p1 |
44800.5-p |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{16} \cdot 5^{2} \cdot 7^{10} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
|
|
$1$ |
\( 2^{3} \cdot 5 \) |
$0.128582376$ |
$0.837054176$ |
6.508875730 |
\( \frac{14155776}{84035} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 32\) , \( -212\bigr] \) |
${y}^2={x}^{3}+32{x}-212$ |
44800.5-q1 |
44800.5-q |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{25} \cdot 5^{2} \cdot 7^{2} \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.287265324$ |
$1.769246686$ |
6.147132220 |
\( \frac{154207}{140} a + \frac{8767}{70} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 14\) , \( -10 a + 12\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-14\right){x}-10a+12$ |
44800.5-q2 |
44800.5-q |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
44800.5 |
\( 2^{8} \cdot 5^{2} \cdot 7 \) |
\( 2^{23} \cdot 5^{4} \cdot 7 \) |
$3.43959$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.574530648$ |
$1.769246686$ |
6.147132220 |
\( -\frac{103823}{70} a + \frac{311469}{175} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 16\) , \( -16 a + 4\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+16{x}-16a+4$ |
*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.