| 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 |
| 576.6-a1 |
576.6-a |
$1$ |
$1$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{6} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 3 \) |
$1$ |
$5.184517639$ |
3.772290678 |
\( \frac{80896}{9} a - \frac{630784}{27} \) |
\( \bigl[0\) , \( a + 1\) , \( a + 1\) , \( 10 a - 22\) , \( 20 a - 53\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(10a-22\right){x}+20a-53$ |
| 576.6-b1 |
576.6-b |
$2$ |
$5$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{10} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 1 \) |
$3.268387907$ |
$3.246024785$ |
5.146250968 |
\( -\frac{13549359104}{243} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( 248 a - 644\) , \( -3320 a + 8485\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(248a-644\right){x}-3320a+8485$ |
| 576.6-b2 |
576.6-b |
$2$ |
$5$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 1 \) |
$0.653677581$ |
$16.23012392$ |
5.146250968 |
\( \frac{4096}{3} \) |
\( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -2 a + 6\) , \( -3\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a+6\right){x}-3$ |
| 576.6-c1 |
576.6-c |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$15.95338739$ |
1.934632391 |
\( -\frac{5731}{3} a + \frac{19751}{3} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 9 a - 22\) , \( -12 a + 31\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(9a-22\right){x}-12a+31$ |
| 576.6-c2 |
576.6-c |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$15.95338739$ |
1.934632391 |
\( -\frac{3619}{3} a + \frac{43709}{9} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -5 a - 8\) , \( 2 a + 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-8\right){x}+2a+3$ |
| 576.6-c3 |
576.6-c |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 1 \) |
$1$ |
$7.976693698$ |
1.934632391 |
\( -\frac{25740281}{3} a + \frac{66468109}{3} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 13 a - 30\) , \( 28 a - 71\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(13a-30\right){x}+28a-71$ |
| 576.6-c4 |
576.6-c |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{8} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$7.976693698$ |
1.934632391 |
\( \frac{3105497}{27} a + \frac{14573329}{81} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -60 a - 93\) , \( 369 a + 576\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-60a-93\right){x}+369a+576$ |
| 576.6-d1 |
576.6-d |
$1$ |
$1$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$13.65058030$ |
3.310752026 |
\( -77824 a - \frac{364544}{3} \) |
\( \bigl[0\) , \( a\) , \( a + 1\) , \( -46 a - 71\) , \( 207 a + 323\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-46a-71\right){x}+207a+323$ |
| 576.6-e1 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.978485520$ |
$7.242622550$ |
3.437603564 |
\( -\frac{396321250}{3} a + 338397375 \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 100 a - 256\) , \( -813 a + 2081\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(100a-256\right){x}-813a+2081$ |
| 576.6-e2 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.913942083$ |
$1.810655637$ |
3.437603564 |
\( -\frac{31564213125250}{3} a + \frac{80853398915125}{3} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 71 a - 156\) , \( 446 a - 779\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(71a-156\right){x}+446a-779$ |
| 576.6-e3 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{16} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.489242760$ |
$1.810655637$ |
3.437603564 |
\( \frac{5359375}{6561} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -122 a + 308\) , \( 1028 a - 2637\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-122a+308\right){x}+1028a-2637$ |
| 576.6-e4 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.978485520$ |
$7.242622550$ |
3.437603564 |
\( \frac{274625}{81} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 43 a - 117\) , \( 188 a - 485\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(43a-117\right){x}+188a-485$ |
| 576.6-e5 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.956971041$ |
$7.242622550$ |
3.437603564 |
\( -\frac{14326000}{9} a + \frac{36913625}{9} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -4 a - 21\) , \( 11 a + 4\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a-21\right){x}+11a+4$ |
| 576.6-e6 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.956971041$ |
$7.242622550$ |
3.437603564 |
\( \frac{14326000}{9} a + \frac{22587625}{9} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -61 a - 98\) , \( -437 a - 681\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-61a-98\right){x}-437a-681$ |
| 576.6-e7 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.978485520$ |
$7.242622550$ |
3.437603564 |
\( \frac{396321250}{3} a + \frac{618870875}{3} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 99 a - 258\) , \( 1083 a - 2777\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(99a-258\right){x}+1083a-2777$ |
| 576.6-e8 |
576.6-e |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.913942083$ |
$1.810655637$ |
3.437603564 |
\( \frac{31564213125250}{3} a + 16429728596625 \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -976 a - 1523\) , \( -24827 a - 38763\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-976a-1523\right){x}-24827a-38763$ |
| 576.6-f1 |
576.6-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{8} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$6.598714927$ |
1.600423449 |
\( -\frac{14689147}{9} a + \frac{338641559}{81} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 15 a - 39\) , \( -54 a + 126\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(15a-39\right){x}-54a+126$ |
| 576.6-f2 |
576.6-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{6} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1$ |
$26.39485970$ |
1.600423449 |
\( \frac{725}{3} a + \frac{3559}{3} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+{x}$ |
| 576.6-f3 |
576.6-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$13.19742985$ |
1.600423449 |
\( \frac{312455}{9} a + \frac{518669}{9} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -4\) , \( -3 a - 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}-4{x}-3a-1$ |
| 576.6-f4 |
576.6-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{15} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$3.299357463$ |
1.600423449 |
\( \frac{15470272489}{3} a + \frac{24157718843}{3} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -15 a - 49\) , \( -84 a - 172\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-15a-49\right){x}-84a-172$ |
| 576.6-g1 |
576.6-g |
$1$ |
$1$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{10} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5Ns |
$1$ |
\( 5 \) |
$0.068365468$ |
$14.63675443$ |
2.426929267 |
\( -\frac{1351168}{243} a - \frac{1939456}{243} \) |
\( \bigl[0\) , \( -1\) , \( a + 1\) , \( -6 a + 15\) , \( -12 a + 28\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-6a+15\right){x}-12a+28$ |
| 576.6-h1 |
576.6-h |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{19} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$3.464409285$ |
1.680485342 |
\( -\frac{35465918197138001}{18} a + \frac{45423911258364209}{9} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 903 a - 2268\) , \( -21654 a + 55161\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(903a-2268\right){x}-21654a+55161$ |
| 576.6-h2 |
576.6-h |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{26} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$6.928818571$ |
1.680485342 |
\( -\frac{1095125}{768} a + \frac{262517}{64} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 103 a + 161\) , \( 1446 a + 2258\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(103a+161\right){x}+1446a+2258$ |
| 576.6-h3 |
576.6-h |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{22} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$13.85763714$ |
1.680485342 |
\( -\frac{173375}{144} a + \frac{301633}{36} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 3 a - 8\) , \( -8 a + 19\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-8\right){x}-8a+19$ |
| 576.6-h4 |
576.6-h |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{20} \cdot 3^{8} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$6.928818571$ |
1.680485342 |
\( -\frac{2360605505}{108} a + \frac{4536137906}{81} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 48 a - 153\) , \( -405 a + 900\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(48a-153\right){x}-405a+900$ |
| 576.6-h5 |
576.6-h |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{20} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$13.85763714$ |
1.680485342 |
\( \frac{59090945}{12} a + 7689616 \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( -118 a + 299\) , \( -3261 a + 8351\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-118a+299\right){x}-3261a+8351$ |
| 576.6-h6 |
576.6-h |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{19} \cdot 3^{16} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.732204642$ |
1.680485342 |
\( \frac{150435795683}{4374} a + \frac{352312617799}{6561} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -87 a - 358\) , \( -1944 a - 1437\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-87a-358\right){x}-1944a-1437$ |
| 576.6-i1 |
576.6-i |
$1$ |
$1$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$6.401281082$ |
1.552538708 |
\( \frac{3584}{3} a - \frac{10240}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( a + 1\) , \( -a - 2\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+1\right){x}-a-2$ |
| 576.6-j1 |
576.6-j |
$1$ |
$1$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$0.346653453$ |
$13.87092087$ |
2.332417874 |
\( \frac{3584}{3} a - \frac{10240}{3} \) |
\( \bigl[0\) , \( -a\) , \( a + 1\) , \( 11 a - 26\) , \( 36 a - 96\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(11a-26\right){x}+36a-96$ |
| 576.6-k1 |
576.6-k |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{19} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.174656042$ |
1.255038437 |
\( -\frac{35465918197138001}{18} a + \frac{45423911258364209}{9} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 614 a + 903\) , \( 48002 a + 75106\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(614a+903\right){x}+48002a+75106$ |
| 576.6-k2 |
576.6-k |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{26} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.174656042$ |
1.255038437 |
\( -\frac{1095125}{768} a + \frac{262517}{64} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 6 a + 2\) , \( 3 a + 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(6a+2\right){x}+3a+1$ |
| 576.6-k3 |
576.6-k |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{22} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$10.34931208$ |
1.255038437 |
\( -\frac{173375}{144} a + \frac{301633}{36} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -126 a - 197\) , \( -876 a - 1368\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-126a-197\right){x}-876a-1368$ |
| 576.6-k4 |
576.6-k |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{20} \cdot 3^{8} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$10.34931208$ |
1.255038437 |
\( -\frac{2360605505}{108} a + \frac{4536137906}{81} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -601 a - 942\) , \( 10760 a + 16804\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-601a-942\right){x}+10760a+16804$ |
| 576.6-k5 |
576.6-k |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{20} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.174656042$ |
1.255038437 |
\( \frac{59090945}{12} a + 7689616 \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -8 a - 3\) , \( -18 a + 4\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-8a-3\right){x}-18a+4$ |
| 576.6-k6 |
576.6-k |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{19} \cdot 3^{16} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.174656042$ |
1.255038437 |
\( \frac{150435795683}{4374} a + \frac{352312617799}{6561} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 3588 a - 9191\) , \( -184356 a + 472236\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3588a-9191\right){x}-184356a+472236$ |
| 576.6-l1 |
576.6-l |
$1$ |
$1$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{6} \cdot 3^{10} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5Ns |
$1$ |
\( 1 \) |
$1$ |
$4.579265465$ |
1.110635011 |
\( -\frac{1351168}{243} a - \frac{1939456}{243} \) |
\( \bigl[0\) , \( -a\) , \( a + 1\) , \( -11 a - 16\) , \( -22 a - 34\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-11a-16\right){x}-22a-34$ |
| 576.6-m1 |
576.6-m |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{8} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.150534826$ |
$12.48718854$ |
1.823631924 |
\( -\frac{14689147}{9} a + \frac{338641559}{81} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -32 a - 51\) , \( 1374 a + 2146\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-32a-51\right){x}+1374a+2146$ |
| 576.6-m2 |
576.6-m |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{6} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.602139306$ |
$24.97437708$ |
1.823631924 |
\( \frac{725}{3} a + \frac{3559}{3} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -7 a - 11\) , \( -23 a - 36\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-11\right){x}-23a-36$ |
| 576.6-m3 |
576.6-m |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{12} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.301069653$ |
$24.97437708$ |
1.823631924 |
\( \frac{312455}{9} a + \frac{518669}{9} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 71 a - 171\) , \( -344 a + 888\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(71a-171\right){x}-344a+888$ |
| 576.6-m4 |
576.6-m |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{15} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.602139306$ |
$12.48718854$ |
1.823631924 |
\( \frac{15470272489}{3} a + \frac{24157718843}{3} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 416 a - 1056\) , \( 6133 a - 15705\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(416a-1056\right){x}+6133a-15705$ |
| 576.6-n1 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.209789527$ |
$18.09797622$ |
1.841701975 |
\( -\frac{396321250}{3} a + 338397375 \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -19 a - 36\) , \( 66 a + 110\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-19a-36\right){x}+66a+110$ |
| 576.6-n2 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.356632445$ |
$1.131123514$ |
1.841701975 |
\( -\frac{31564213125250}{3} a + \frac{80853398915125}{3} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 294 a + 455\) , \( -43002 a - 67154\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(294a+455\right){x}-43002a-67154$ |
| 576.6-n3 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{16} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.678316222$ |
$2.262247028$ |
1.841701975 |
\( \frac{5359375}{6561} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 28 a + 52\) , \( 175 a + 261\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(28a+52\right){x}+175a+261$ |
| 576.6-n4 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{8} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.839158111$ |
$9.048988114$ |
1.841701975 |
\( \frac{274625}{81} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -7 a - 13\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-7a-13\right){x}$ |
| 576.6-n5 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.678316222$ |
$4.524494057$ |
1.841701975 |
\( -\frac{14326000}{9} a + \frac{36913625}{9} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 271 a - 686\) , \( 3406 a - 8718\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(271a-686\right){x}+3406a-8718$ |
| 576.6-n6 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{18} \cdot 3^{4} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.419579055$ |
$18.09797622$ |
1.841701975 |
\( \frac{14326000}{9} a + \frac{22587625}{9} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 39 a - 110\) , \( -192 a + 492\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(39a-110\right){x}-192a+492$ |
| 576.6-n7 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$3.356632445$ |
$2.262247028$ |
1.841701975 |
\( \frac{396321250}{3} a + \frac{618870875}{3} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -23 a - 40\) , \( -94 a - 160\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-23a-40\right){x}-94a-160$ |
| 576.6-n8 |
576.6-n |
$8$ |
$16$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{18} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.839158111$ |
$9.048988114$ |
1.841701975 |
\( \frac{31564213125250}{3} a + 16429728596625 \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -36 a + 25\) , \( -702 a + 1986\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-36a+25\right){x}-702a+1986$ |
| 576.6-o1 |
576.6-o |
$1$ |
$1$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{14} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$3.381772674$ |
0.820200349 |
\( -77824 a - \frac{364544}{3} \) |
\( \bigl[0\) , \( 1\) , \( a + 1\) , \( -a\) , \( -6\bigr] \) |
${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}-a{x}-6$ |
| 576.6-p1 |
576.6-p |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
576.6 |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{2} \) |
$1.80496$ |
$(-a-1), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.957365269$ |
$15.34036730$ |
1.780979704 |
\( -\frac{5731}{3} a + \frac{19751}{3} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 3 a + 5\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(3a+5\right){x}$ |
*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.
