| 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 |
| 900.1-a1 |
900.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{8} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$5.210770518$ |
5.055189938 |
\( -\frac{69936521}{15000} a + \frac{857179}{80} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 135 a - 346\) , \( -1110 a + 2843\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(135a-346\right){x}-1110a+2843$ |
| 900.1-a2 |
900.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$5.210770518$ |
5.055189938 |
\( -\frac{2556391110679}{983040} a + \frac{2183671050881}{327680} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -107 a - 168\) , \( -570 a - 891\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-107a-168\right){x}-570a-891$ |
| 900.1-a3 |
900.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$5.210770518$ |
5.055189938 |
\( \frac{48973987447}{57600} a + \frac{76710528733}{57600} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -7 a - 21\) , \( -21 a - 43\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-7a-21\right){x}-21a-43$ |
| 900.1-a4 |
900.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$1.302692629$ |
5.055189938 |
\( \frac{6450458027667841}{2160} a + \frac{30218192635206649}{6480} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -157 a - 221\) , \( -1451 a - 2323\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-157a-221\right){x}-1451a-2323$ |
| 900.1-b1 |
900.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{19} \cdot 3^{4} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.235965955$ |
$2.832954519$ |
1.698445616 |
\( -\frac{1461277715412763}{2949120} a + \frac{935784871672241}{737280} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -203 a - 320\) , \( 7036 a + 10984\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-203a-320\right){x}+7036a+10984$ |
| 900.1-b2 |
900.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{16} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.154495744$ |
$2.832954519$ |
1.698445616 |
\( -\frac{9096632552017}{15000000} a + \frac{116634255439817}{75000000} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 624 a + 956\) , \( 1120 a + 1776\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(624a+956\right){x}+1120a+1776$ |
| 900.1-b3 |
900.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.308991488$ |
$5.665909038$ |
1.698445616 |
\( -\frac{773267453}{4608000} a + \frac{50614945061}{23040000} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -156 a - 244\) , \( 400 a + 624\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-156a-244\right){x}+400a+624$ |
| 900.1-b4 |
900.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{26} \cdot 3^{2} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.617982977$ |
$2.832954519$ |
1.698445616 |
\( \frac{10738597294729}{251658240} a + \frac{85342985350639}{1258291200} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -33 a + 73\) , \( -93 a + 197\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-33a+73\right){x}-93a+197$ |
| 900.1-b5 |
900.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.617982977$ |
$5.665909038$ |
1.698445616 |
\( \frac{3605750099}{34560} a + \frac{13534729969}{64800} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 13 a - 81\) , \( 101 a - 163\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(13a-81\right){x}+101a-163$ |
| 900.1-b6 |
900.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{7} \cdot 3^{16} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.235965955$ |
$2.832954519$ |
1.698445616 |
\( \frac{9589482753495779}{174960} a + \frac{22461725650681927}{262440} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -187 a - 281\) , \( 2141 a + 2117\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-187a-281\right){x}+2141a+2117$ |
| 900.1-c1 |
900.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{27} \cdot 3^{4} \cdot 5^{6} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$2.150543499$ |
$0.377866379$ |
3.547599042 |
\( -\frac{12264066304413432707}{18874368000} a + \frac{7853694887440561129}{4718592000} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 11187 a - 28675\) , \( 926281 a - 2372751\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(11187a-28675\right){x}+926281a-2372751$ |
| 900.1-c2 |
900.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{17} \cdot 3^{12} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.716847833$ |
$3.400797419$ |
3.547599042 |
\( -\frac{257920721}{1866240} a + \frac{3863651647}{1866240} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 162 a - 415\) , \( 811 a - 2079\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(162a-415\right){x}+811a-2079$ |
| 900.1-c3 |
900.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.358423916$ |
$3.400797419$ |
3.547599042 |
\( \frac{19285708789}{176947200} a + \frac{28716759439}{19660800} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -16 a - 10\) , \( -7 a - 17\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-16a-10\right){x}-7a-17$ |
| 900.1-c4 |
900.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{12} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1.075271749$ |
$0.377866379$ |
3.547599042 |
\( \frac{433149689396117}{7680000} a + \frac{4224964286631529}{48000000} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( -631 a - 1270\) , \( -14272 a - 24293\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-631a-1270\right){x}-14272a-24293$ |
| 900.1-d1 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{6} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.248395236$ |
0.908340957 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -14\) , \( -64\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-14{x}-64$ |
| 900.1-d2 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$11.23555713$ |
0.908340957 |
\( \frac{357911}{2160} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 1\) , \( 2\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}+2$ |
| 900.1-d3 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{24} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.248395236$ |
0.908340957 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -454\) , \( -544\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-454{x}-544$ |
| 900.1-d4 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{24} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.808889283$ |
0.908340957 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -69\) , \( -194\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-69{x}-194$ |
| 900.1-d5 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$11.23555713$ |
0.908340957 |
\( \frac{702595369}{72900} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -19\) , \( 26\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-19{x}+26$ |
| 900.1-d6 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{12} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.248395236$ |
0.908340957 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -334\) , \( -2368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-334{x}-2368$ |
| 900.1-d7 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$11.23555713$ |
0.908340957 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -289\) , \( 1862\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-289{x}+1862$ |
| 900.1-d8 |
900.1-d |
$8$ |
$12$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.312098809$ |
0.908340957 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -5334\) , \( -150368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-5334{x}-150368$ |
| 900.1-e1 |
900.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.109063894$ |
$10.82417754$ |
3.435838125 |
\( -\frac{2922889}{480} a + \frac{27601647}{1600} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 21 a - 52\) , \( -59 a + 150\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(21a-52\right){x}-59a+150$ |
| 900.1-e2 |
900.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.218127789$ |
$10.82417754$ |
3.435838125 |
\( \frac{80319899}{184320} a + \frac{127149353}{184320} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -4 a - 6\) , \( -8 a - 12\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a-6\right){x}-8a-12$ |
| 900.1-f1 |
900.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$1.041216872$ |
4.545579331 |
\( -\frac{20784266538347059}{307200} a + \frac{53239996347378767}{307200} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( 187 a - 492\) , \( 1896 a - 4917\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(187a-492\right){x}+1896a-4917$ |
| 900.1-f2 |
900.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{16} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$2.082433745$ |
4.545579331 |
\( \frac{451747330217}{253125000} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 2558 a - 6553\) , \( 18714 a - 47939\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2558a-6553\right){x}+18714a-47939$ |
| 900.1-f3 |
900.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{8} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$2.082433745$ |
4.545579331 |
\( \frac{190407092777}{360000} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 1918 a - 4913\) , \( 66066 a - 169235\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1918a-4913\right){x}+66066a-169235$ |
| 900.1-f4 |
900.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$1.041216872$ |
4.545579331 |
\( \frac{20784266538347059}{307200} a + \frac{8113932452257927}{76800} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -188 a - 304\) , \( -1897 a - 3020\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-188a-304\right){x}-1897a-3020$ |
| 900.1-g1 |
900.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.218127789$ |
$10.82417754$ |
3.435838125 |
\( -\frac{80319899}{184320} a + \frac{51867313}{46080} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 6 a - 12\) , \( 3 a - 9\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-12\right){x}+3a-9$ |
| 900.1-g2 |
900.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.109063894$ |
$10.82417754$ |
3.435838125 |
\( \frac{2922889}{480} a + \frac{53576051}{4800} \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -21 a - 31\) , \( 59 a + 91\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-21a-31\right){x}+59a+91$ |
| 900.1-h1 |
900.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{32} \cdot 3^{2} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$2.723656525$ |
4.624086164 |
\( -\frac{338636206160483}{1342177280} a - \frac{80114907070177}{201326592} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -308 a - 485\) , \( 3966 a + 6189\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-308a-485\right){x}+3966a+6189$ |
| 900.1-h2 |
900.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$0.680914131$ |
4.624086164 |
\( -\frac{245406462052960728421}{2160000} a + \frac{94293242311794484633}{324000} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -4598 a - 8635\) , \( 272456 a + 404699\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-4598a-8635\right){x}+272456a+404699$ |
| 900.1-h3 |
900.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$2.723656525$ |
4.624086164 |
\( \frac{325427365620741923}{1228800} a + \frac{381148960987304869}{921600} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -4928 a - 7785\) , \( 267626 a + 417617\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-4928a-7785\right){x}+267626a+417617$ |
| 900.1-h4 |
900.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 7 \) |
$1$ |
$2.723656525$ |
4.624086164 |
\( \frac{185083364964179706169854379}{640} a + \frac{43352617374590719261759049}{96} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -79178 a - 123735\) , \( 17346236 a + 27086807\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-79178a-123735\right){x}+17346236a+27086807$ |
| 900.1-i1 |
900.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$1.302692629$ |
5.055189938 |
\( -\frac{6450458027667841}{2160} a + \frac{12392391679552543}{1620} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 157 a - 378\) , \( 1451 a - 3774\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(157a-378\right){x}+1451a-3774$ |
| 900.1-i2 |
900.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$5.210770518$ |
5.055189938 |
\( -\frac{48973987447}{57600} a + \frac{6284225809}{2880} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 7 a - 28\) , \( 21 a - 64\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(7a-28\right){x}+21a-64$ |
| 900.1-i3 |
900.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{8} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$5.210770518$ |
5.055189938 |
\( \frac{69936521}{15000} a + \frac{181569083}{30000} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -135 a - 211\) , \( 1110 a + 1733\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-135a-211\right){x}+1110a+1733$ |
| 900.1-i4 |
900.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$5.210770518$ |
5.055189938 |
\( \frac{2556391110679}{983040} a + \frac{998655510491}{245760} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 107 a - 275\) , \( 570 a - 1461\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(107a-275\right){x}+570a-1461$ |
| 900.1-j1 |
900.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.748394102$ |
0.909119106 |
\( \frac{347428927}{1244160} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -234 a + 602\) , \( -6452 a + 16524\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-234a+602\right){x}-6452a+16524$ |
| 900.1-j2 |
900.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.748394102$ |
0.909119106 |
\( \frac{339630096833}{47239200} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 2326 a - 5958\) , \( -75796 a + 194156\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2326a-5958\right){x}-75796a+194156$ |
| 900.1-k1 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{12} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1.075271749$ |
$0.377866379$ |
3.547599042 |
\( -\frac{433149689396117}{7680000} a + \frac{9242866460476347}{64000000} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( 630 a - 1900\) , \( 14271 a - 38564\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(630a-1900\right){x}+14271a-38564$ |
| 900.1-k2 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.358423916$ |
$3.400797419$ |
3.547599042 |
\( -\frac{19285708789}{176947200} a + \frac{13886827187}{8847360} \) |
\( \bigl[1\) , \( 1\) , \( a\) , \( 15 a - 25\) , \( 6 a - 23\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(15a-25\right){x}+6a-23$ |
| 900.1-k3 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{17} \cdot 3^{12} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.716847833$ |
$3.400797419$ |
3.547599042 |
\( \frac{257920721}{1866240} a + \frac{1802865463}{933120} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -163 a - 253\) , \( -812 a - 1268\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-163a-253\right){x}-812a-1268$ |
| 900.1-k4 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{27} \cdot 3^{4} \cdot 5^{6} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$2.150543499$ |
$0.377866379$ |
3.547599042 |
\( \frac{12264066304413432707}{18874368000} a + \frac{19150713245348811809}{18874368000} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -11188 a - 17488\) , \( -926282 a - 1446470\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-11188a-17488\right){x}-926282a-1446470$ |
| 900.1-l1 |
900.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{32} \cdot 3^{2} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$2.723656525$ |
4.624086164 |
\( \frac{338636206160483}{1342177280} a - \frac{2618206759884989}{4026531840} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 307 a - 793\) , \( -3967 a + 10155\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(307a-793\right){x}-3967a+10155$ |
| 900.1-l2 |
900.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 7 \) |
$1$ |
$2.723656525$ |
4.624086164 |
\( -\frac{185083364964179706169854379}{640} a + \frac{1422302442384353503744744117}{1920} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 79177 a - 202913\) , \( -17346237 a + 44433043\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(79177a-202913\right){x}-17346237a+44433043$ |
| 900.1-l3 |
900.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$2.723656525$ |
4.624086164 |
\( -\frac{325427365620741923}{1228800} a + \frac{500175588162289049}{737280} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 4927 a - 12713\) , \( -267627 a + 685243\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4927a-12713\right){x}-267627a+685243$ |
| 900.1-l4 |
900.1-l |
$4$ |
$4$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$0.680914131$ |
4.624086164 |
\( \frac{245406462052960728421}{2160000} a + \frac{1149645460077007507397}{6480000} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 4597 a - 13233\) , \( -272457 a + 677155\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4597a-13233\right){x}-272457a+677155$ |
| 900.1-m1 |
900.1-m |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{7} \cdot 3^{16} \cdot 5^{2} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.235965955$ |
$2.832954519$ |
1.698445616 |
\( -\frac{9589482753495779}{174960} a + \frac{73691899561851191}{524880} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( 186 a - 468\) , \( -2142 a + 4258\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(186a-468\right){x}-2142a+4258$ |
| 900.1-m2 |
900.1-m |
$6$ |
$8$ |
\(\Q(\sqrt{17}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{26} \cdot 3^{2} \cdot 5^{4} \) |
$2.01801$ |
$(-a+2), (-a-1), (3), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.617982977$ |
$2.832954519$ |
1.698445616 |
\( -\frac{10738597294729}{251658240} a + \frac{11586330985357}{104857600} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 34 a + 39\) , \( 59 a + 65\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(34a+39\right){x}+59a+65$ |
*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.
