| 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 |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{16} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$0.543309297$ |
3.319674640 |
\( -\frac{119817845337407}{109863281250} a - \frac{4662657100983}{2441406250} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( -70 a + 167\) , \( 2599 a - 7359\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-70a+167\right){x}+2599a-7359$ |
| 900.1-a2 |
900.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 7 \) |
$1$ |
$2.173237189$ |
3.319674640 |
\( \frac{6559560353773}{937500} a + \frac{1176618663029}{93750} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( 80 a - 253\) , \( 565 a - 1677\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(80a-253\right){x}+565a-1677$ |
| 900.1-b1 |
900.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.200952806$ |
$13.27969386$ |
3.494006770 |
\( \frac{241071}{500} a + \frac{142543}{50} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -a - 4\) , \( -a - 2\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-4\right){x}-a-2$ |
| 900.1-b2 |
900.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.100476403$ |
$13.27969386$ |
3.494006770 |
\( -\frac{7139781753}{31250} a + \frac{4093831487}{6250} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -a - 34\) , \( 5 a + 70\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-34\right){x}+5a+70$ |
| 900.1-b3 |
900.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.602858419$ |
$4.426564621$ |
3.494006770 |
\( -\frac{2592506579}{500} a + \frac{132780177509}{8000} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -16 a - 139\) , \( 317 a + 85\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-16a-139\right){x}+317a+85$ |
| 900.1-b4 |
900.1-b |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.301429209$ |
$4.426564621$ |
3.494006770 |
\( \frac{15380986249907239}{15625} a + \frac{220414190747374203}{125000} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -616 a - 1219\) , \( 13517 a + 23773\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-616a-1219\right){x}+13517a+23773$ |
| 900.1-c1 |
900.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{16} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.309110861$ |
2.015557201 |
\( -\frac{119817845337407}{109863281250} a - \frac{4662657100983}{2441406250} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -152 a - 260\) , \( 1711 a + 3176\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-152a-260\right){x}+1711a+3176$ |
| 900.1-c2 |
900.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$9.236443445$ |
2.015557201 |
\( \frac{6559560353773}{937500} a + \frac{1176618663029}{93750} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( -152 a - 290\) , \( 1591 a + 2870\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-152a-290\right){x}+1591a+2870$ |
| 900.1-d1 |
900.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$0.371270395$ |
$15.55884267$ |
2.521087727 |
\( \frac{241071}{500} a + \frac{142543}{50} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 13 a - 34\) , \( 7 a - 19\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(13a-34\right){x}+7a-19$ |
| 900.1-d2 |
900.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$0.742540790$ |
$3.889710669$ |
2.521087727 |
\( -\frac{7139781753}{31250} a + \frac{4093831487}{6250} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 163 a - 454\) , \( 1627 a - 4543\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(163a-454\right){x}+1627a-4543$ |
| 900.1-d3 |
900.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1.113811185$ |
$5.186280893$ |
2.521087727 |
\( -\frac{2592506579}{500} a + \frac{132780177509}{8000} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 553 a - 1549\) , \( -11039 a + 30797\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(553a-1549\right){x}-11039a+30797$ |
| 900.1-d4 |
900.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$2.227622371$ |
$1.296570223$ |
2.521087727 |
\( \frac{15380986249907239}{15625} a + \frac{220414190747374203}{125000} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 553 a - 1669\) , \( -10127 a + 27581\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(553a-1669\right){x}-10127a+27581$ |
| 900.1-e1 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{6} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.494517521$ |
1.956782763 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 40 a - 122\) , \( 765 a - 2104\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-122\right){x}+765a-2104$ |
| 900.1-e2 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$4.483552565$ |
1.956782763 |
\( \frac{357911}{2160} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -5 a + 13\) , \( -27 a + 74\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a+13\right){x}-27a+74$ |
| 900.1-e3 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{24} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.747258760$ |
1.956782763 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1360 a - 4082\) , \( 6525 a - 17944\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1360a-4082\right){x}+6525a-17944$ |
| 900.1-e4 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{30} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$2.241776282$ |
1.956782763 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 205 a - 617\) , \( 2325 a - 6394\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(205a-617\right){x}+2325a-6394$ |
| 900.1-e5 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{18} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$4.483552565$ |
1.956782763 |
\( \frac{702595369}{72900} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 55 a - 167\) , \( -315 a + 866\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(55a-167\right){x}-315a+866$ |
| 900.1-e6 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{12} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$1.494517521$ |
1.956782763 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1000 a - 3002\) , \( 28413 a - 78136\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1000a-3002\right){x}+28413a-78136$ |
| 900.1-e7 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.241776282$ |
1.956782763 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 865 a - 2597\) , \( -22347 a + 61454\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(865a-2597\right){x}-22347a+61454$ |
| 900.1-e8 |
900.1-e |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{6} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.747258760$ |
1.956782763 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 16000 a - 48002\) , \( 1804413 a - 4962136\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(16000a-48002\right){x}+1804413a-4962136$ |
| 900.1-f1 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{6} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$1.494517521$ |
1.956782763 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -41 a - 81\) , \( -765 a - 1339\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-41a-81\right){x}-765a-1339$ |
| 900.1-f2 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$4.483552565$ |
1.956782763 |
\( \frac{357911}{2160} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( 4 a + 9\) , \( 27 a + 47\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(4a+9\right){x}+27a+47$ |
| 900.1-f3 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{24} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.747258760$ |
1.956782763 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -1361 a - 2721\) , \( -6525 a - 11419\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-1361a-2721\right){x}-6525a-11419$ |
| 900.1-f4 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{30} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$2.241776282$ |
1.956782763 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -206 a - 411\) , \( -2325 a - 4069\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-206a-411\right){x}-2325a-4069$ |
| 900.1-f5 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{18} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$4.483552565$ |
1.956782763 |
\( \frac{702595369}{72900} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -56 a - 111\) , \( 315 a + 551\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-56a-111\right){x}+315a+551$ |
| 900.1-f6 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{12} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$1.494517521$ |
1.956782763 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -1001 a - 2001\) , \( -28413 a - 49723\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-1001a-2001\right){x}-28413a-49723$ |
| 900.1-f7 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.241776282$ |
1.956782763 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -866 a - 1731\) , \( 22347 a + 39107\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-866a-1731\right){x}+22347a+39107$ |
| 900.1-f8 |
900.1-f |
$8$ |
$12$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{6} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.747258760$ |
1.956782763 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -16001 a - 32001\) , \( -1804413 a - 3157723\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-16001a-32001\right){x}-1804413a-3157723$ |
| 900.1-g1 |
900.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$5.478598853$ |
2.391056566 |
\( -\frac{23869147}{324} a - \frac{71336321}{540} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 53 a - 154\) , \( 1220 a - 3407\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(53a-154\right){x}+1220a-3407$ |
| 900.1-g2 |
900.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$5.478598853$ |
2.391056566 |
\( \frac{2250110140541}{90} a + \frac{10076573441941}{225} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 1403 a - 3934\) , \( 43826 a - 122315\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1403a-3934\right){x}+43826a-122315$ |
| 900.1-h1 |
900.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.765192956$ |
1.206829145 |
\( \frac{23869147}{324} a - \frac{166677349}{810} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -18\) , \( 18 a - 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}-18{x}+18a-3$ |
| 900.1-h2 |
900.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.765192956$ |
1.206829145 |
\( -\frac{2250110140541}{90} a + \frac{3489299731843}{50} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -288\) , \( 828 a - 489\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}-288{x}+828a-489$ |
| 900.1-i1 |
900.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{16} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 7 \) |
$1$ |
$0.543309297$ |
3.319674640 |
\( \frac{119817845337407}{109863281250} a - \frac{164818707440821}{54931640625} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( 69 a + 98\) , \( -2600 a - 4759\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(69a+98\right){x}-2600a-4759$ |
| 900.1-i2 |
900.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 7 \) |
$1$ |
$2.173237189$ |
3.319674640 |
\( -\frac{6559560353773}{937500} a + \frac{6108582328021}{312500} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( -81 a - 172\) , \( -566 a - 1111\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-81a-172\right){x}-566a-1111$ |
| 900.1-j1 |
900.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$0.371270395$ |
$15.55884267$ |
2.521087727 |
\( -\frac{241071}{500} a + \frac{1666501}{500} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -13 a - 21\) , \( -7 a - 12\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-13a-21\right){x}-7a-12$ |
| 900.1-j2 |
900.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$2.227622371$ |
$1.296570223$ |
2.521087727 |
\( -\frac{15380986249907239}{15625} a + \frac{68692416149326423}{25000} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -553 a - 1116\) , \( 10127 a + 17454\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-553a-1116\right){x}+10127a+17454$ |
| 900.1-j3 |
900.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$0.742540790$ |
$3.889710669$ |
2.521087727 |
\( \frac{7139781753}{31250} a + \frac{6664687841}{15625} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -163 a - 291\) , \( -1627 a - 2916\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-163a-291\right){x}-1627a-2916$ |
| 900.1-j4 |
900.1-j |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1.113811185$ |
$5.186280893$ |
2.521087727 |
\( \frac{2592506579}{500} a + \frac{18260014449}{1600} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -553 a - 996\) , \( 11039 a + 19758\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-553a-996\right){x}+11039a+19758$ |
| 900.1-k1 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$15.76958961$ |
2.294137716 |
\( -\frac{1860867}{320} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -8\) , \( 11\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-8{x}+11$ |
| 900.1-k2 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \) |
$1$ |
$5.256529870$ |
2.294137716 |
\( \frac{804357}{500} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -30 a + 84\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-30a+84\right){x}$ |
| 900.1-k3 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{12} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \) |
$1$ |
$5.256529870$ |
2.294137716 |
\( \frac{57960603}{31250} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 120 a - 336\) , \( 432 a - 1206\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(120a-336\right){x}+432a-1206$ |
| 900.1-k4 |
900.1-k |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$15.76958961$ |
2.294137716 |
\( \frac{8527173507}{200} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -128\) , \( 587\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-128{x}+587$ |
| 900.1-l1 |
900.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{16} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.309110861$ |
2.015557201 |
\( \frac{119817845337407}{109863281250} a - \frac{164818707440821}{54931640625} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 150 a - 411\) , \( -1712 a + 4887\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(150a-411\right){x}-1712a+4887$ |
| 900.1-l2 |
900.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$9.236443445$ |
2.015557201 |
\( -\frac{6559560353773}{937500} a + \frac{6108582328021}{312500} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 150 a - 441\) , \( -1592 a + 4461\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(150a-441\right){x}-1592a+4461$ |
| 900.1-m1 |
900.1-m |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.200952806$ |
$13.27969386$ |
3.494006770 |
\( -\frac{241071}{500} a + \frac{1666501}{500} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( a - 5\) , \( a - 3\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(a-5\right){x}+a-3$ |
| 900.1-m2 |
900.1-m |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.301429209$ |
$4.426564621$ |
3.494006770 |
\( -\frac{15380986249907239}{15625} a + \frac{68692416149326423}{25000} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 616 a - 1835\) , \( -13517 a + 37290\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(616a-1835\right){x}-13517a+37290$ |
| 900.1-m3 |
900.1-m |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.100476403$ |
$13.27969386$ |
3.494006770 |
\( \frac{7139781753}{31250} a + \frac{6664687841}{15625} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( a - 35\) , \( -5 a + 75\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(a-35\right){x}-5a+75$ |
| 900.1-m4 |
900.1-m |
$4$ |
$6$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.602858419$ |
$4.426564621$ |
3.494006770 |
\( \frac{2592506579}{500} a + \frac{18260014449}{1600} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 16 a - 155\) , \( -317 a + 402\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(16a-155\right){x}-317a+402$ |
| 900.1-n1 |
900.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{2} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$5.478598853$ |
2.391056566 |
\( \frac{23869147}{324} a - \frac{166677349}{810} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -55 a - 100\) , \( -1221 a - 2187\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-55a-100\right){x}-1221a-2187$ |
| 900.1-n2 |
900.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
900.1 |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{4} \) |
$2.24289$ |
$(-a+2), (-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$5.478598853$ |
2.391056566 |
\( -\frac{2250110140541}{90} a + \frac{3489299731843}{50} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -1405 a - 2530\) , \( -43827 a - 78489\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-1405a-2530\right){x}-43827a-78489$ |
*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.
