| 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 |
| 20808.4-a1 |
20808.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 17^{10} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.277261365$ |
0.784213566 |
\( \frac{2574423778799}{2255067} a - \frac{3766534479388}{2255067} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -1566 a - 615\) , \( 27618 a - 15789\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-1566a-615\right){x}+27618a-15789$ |
| 20808.4-a2 |
20808.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{16} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.277261365$ |
0.784213566 |
\( \frac{66005182339}{9034497} a - \frac{182256471836}{9034497} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -546 a + 745\) , \( 3582 a + 13091\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-546a+745\right){x}+3582a+13091$ |
| 20808.4-a3 |
20808.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 17^{8} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.554522730$ |
0.784213566 |
\( -\frac{193668952}{210681} a + \frac{24854222}{210681} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -96 a - 15\) , \( 528 a - 93\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-96a-15\right){x}+528a-93$ |
| 20808.4-a4 |
20808.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.109045461$ |
0.784213566 |
\( \frac{933536}{459} a + \frac{346508}{459} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 24 a - 25\) , \( 72 a - 55\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(24a-25\right){x}+72a-55$ |
| 20808.4-b1 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1.181721583$ |
$0.539936468$ |
3.609381752 |
\( \frac{2360418304}{1377} a - \frac{2892359680}{1377} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 160 a - 591\) , \( 2206 a - 5038\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(160a-591\right){x}+2206a-5038$ |
| 20808.4-b2 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{18} \cdot 17^{8} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$9.453772664$ |
$0.134984117$ |
3.609381752 |
\( -\frac{5885451972543220}{12440502369} a - \frac{19099058671357966}{12440502369} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -5845 a + 4196\) , \( -20646 a + 343269\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-5845a+4196\right){x}-20646a+343269$ |
| 20808.4-b3 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 17^{14} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$2.363443166$ |
$0.134984117$ |
3.609381752 |
\( \frac{14877988411966900}{565036352721} a - \frac{9880475817788162}{565036352721} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -1245 a + 4776\) , \( -87210 a - 68211\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-1245a+4776\right){x}-87210a-68211$ |
| 20808.4-b4 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{33} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$18.90754532$ |
$0.067492058$ |
3.609381752 |
\( \frac{25029803989100500051}{31501343210481297} a + \frac{13780334126509226890}{31501343210481297} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -6155 a + 2536\) , \( 68942 a + 383681\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-6155a+2536\right){x}+68942a+383681$ |
| 20808.4-b5 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{18} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.181721583$ |
$0.269968234$ |
3.609381752 |
\( -\frac{15399836042224}{731794257} a + \frac{536897734540}{731794257} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 695 a - 684\) , \( 11342 a - 1669\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(695a-684\right){x}+11342a-1669$ |
| 20808.4-b6 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 17^{10} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$4.726886332$ |
$0.269968234$ |
3.609381752 |
\( -\frac{431439408400}{547981281} a + \frac{562795252868}{547981281} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -345 a + 366\) , \( -1800 a + 4869\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-345a+366\right){x}-1800a+4869$ |
| 20808.4-b7 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 17^{8} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$2.363443166$ |
$0.539936468$ |
3.609381752 |
\( \frac{2043733120}{1896129} a + \frac{2899292624}{1896129} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 55 a - 149\) , \( -121 a + 659\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(55a-149\right){x}-121a+659$ |
| 20808.4-b8 |
20808.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$18.90754532$ |
$0.067492058$ |
3.609381752 |
\( \frac{162097126731251789}{111537} a + \frac{213213879499887110}{111537} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -93535 a + 67136\) , \( -1272378 a + 21929817\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-93535a+67136\right){x}-1272378a+21929817$ |
| 20808.4-c1 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{16} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.440850580$ |
2.493827480 |
\( \frac{207646}{6561} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -46 a + 4\) , \( -808 a - 1016\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-46a+4\right){x}-808a-1016$ |
| 20808.4-c2 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.763402322$ |
2.493827480 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -8 a\) , \( -10 a - 17\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}-8a{x}-10a-17$ |
| 20808.4-c3 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.763402322$ |
2.493827480 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 14 a - 1\) , \( 6 a + 24\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14a-1\right){x}+6a+24$ |
| 20808.4-c4 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.881701161$ |
2.493827480 |
\( \frac{1556068}{81} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 74 a - 6\) , \( -244 a - 196\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(74a-6\right){x}-244a-196$ |
| 20808.4-c5 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{20} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.220425290$ |
2.493827480 |
\( -\frac{2327042746553}{43046721} a + \frac{2081263802600}{43046721} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -936 a + 1764\) , \( -15876 a - 34344\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-936a+1764\right){x}-15876a-34344$ |
| 20808.4-c6 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{20} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.220425290$ |
2.493827480 |
\( \frac{2327042746553}{43046721} a + \frac{2081263802600}{43046721} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1076 a - 1596\) , \( -24556 a - 16088\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1076a-1596\right){x}-24556a-16088$ |
| 20808.4-c7 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.881701161$ |
2.493827480 |
\( \frac{28756228}{3} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 194 a - 16\) , \( 852 a + 1254\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(194a-16\right){x}+852a+1254$ |
| 20808.4-c8 |
20808.4-c |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 17^{6} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.440850580$ |
2.493827480 |
\( \frac{3065617154}{9} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 1154 a - 96\) , \( -14320 a - 15496\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1154a-96\right){x}-14320a-15496$ |
| 20808.4-d1 |
20808.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 17^{8} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.659581703$ |
3.731157561 |
\( \frac{143805376}{7803} a - \frac{629322032}{23409} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -113 a - 134\) , \( 830 a + 318\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-113a-134\right){x}+830a+318$ |
| 20808.4-d2 |
20808.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 17^{10} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.329790851$ |
3.731157561 |
\( \frac{129263405128}{547981281} a - \frac{3842395588}{547981281} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -163 a + 111\) , \( 1389 a + 3041\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-163a+111\right){x}+1389a+3041$ |
| 20808.4-d3 |
20808.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.659581703$ |
3.731157561 |
\( -\frac{85372928}{111537} a + \frac{75126784}{111537} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -12 a - 95\) , \( -114 a + 336\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-12a-95\right){x}-114a+336$ |
| 20808.4-d4 |
20808.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 17^{14} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.164895425$ |
3.731157561 |
\( -\frac{2645795907052078}{565036352721} a + \frac{2516554590655786}{565036352721} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 1667 a + 681\) , \( 7881 a + 42671\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(1667a+681\right){x}+7881a+42671$ |
| 20808.4-d5 |
20808.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{17} \cdot 17^{8} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.164895425$ |
3.731157561 |
\( -\frac{4578846951098354}{12440502369} a + \frac{1040330832518918}{12440502369} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -2793 a + 3461\) , \( 30273 a + 139643\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-2793a+3461\right){x}+30273a+139643$ |
| 20808.4-d6 |
20808.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
20808.4 |
\( 2^{3} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 17^{7} \) |
$3.03558$ |
$(a), (-a-1), (a-1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.329790851$ |
3.731157561 |
\( -\frac{155804663816}{153} a + \frac{4264024316}{51} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -1823 a - 2159\) , \( 51599 a + 19713\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-1823a-2159\right){x}+51599a+19713$ |
*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.
