| 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 |
| 42250.9-a1 |
42250.9-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{5} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$0.296397316$ |
$2.291928188$ |
2.717285461 |
\( -\frac{41948171}{4000} a + \frac{18411061}{2000} \) |
\( \bigl[i\) , \( -i - 1\) , \( i\) , \( -13 i - 3\) , \( -12 i + 4\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-13i-3\right){x}-12i+4$ |
| 42250.9-a2 |
42250.9-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{30} \cdot 5^{3} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$0.889191950$ |
$0.763976062$ |
2.717285461 |
\( \frac{34559248559}{163840} a + \frac{7599502381}{81920} \) |
\( \bigl[i\) , \( -i - 1\) , \( i\) , \( -213 i + 22\) , \( 798 i - 1056\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-213i+22\right){x}+798i-1056$ |
| 42250.9-b1 |
42250.9-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{17} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.211903286$ |
1.695226293 |
\( \frac{353750760581}{66015625} a - \frac{156546352109}{132031250} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -1348 i - 114\) , \( -14652 i + 14414\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-1348i-114\right){x}-14652i+14414$ |
| 42250.9-b2 |
42250.9-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{13} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.423806573$ |
1.695226293 |
\( -\frac{5423261}{8125} a - \frac{19770367}{32500} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( 72 i + 196\) , \( 1808 i - 556\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}+\left(72i+196\right){x}+1808i-556$ |
| 42250.9-c1 |
42250.9-c |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{15} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.151279787$ |
0.907678723 |
\( \frac{2412409957}{62500} a - \frac{352209201}{62500} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( 670 i - 3958\) , \( 24026 i - 97102\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(670i-3958\right){x}+24026i-97102$ |
| 42250.9-c2 |
42250.9-c |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{9} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$0.453839361$ |
0.907678723 |
\( \frac{40729}{50} a + \frac{80613}{50} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( 55 i + 222\) , \( 439 i - 643\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(55i+222\right){x}+439i-643$ |
| 42250.9-d1 |
42250.9-d |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{27} \cdot 5^{11} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.289993909$ |
1.739963456 |
\( \frac{577233446569}{2048000} a - \frac{853138583973}{2048000} \) |
\( \bigl[1\) , \( -i + 1\) , \( 1\) , \( -1602 i - 526\) , \( 24899 i - 8901\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-1602i-526\right){x}+24899i-8901$ |
| 42250.9-d2 |
42250.9-d |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$0.869981728$ |
1.739963456 |
\( -\frac{2944910839}{500000} a + \frac{24766677}{500000} \) |
\( \bigl[1\) , \( -i + 1\) , \( 1\) , \( -42 i - 71\) , \( -169 i - 275\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-42i-71\right){x}-169i-275$ |
| 42250.9-e1 |
42250.9-e |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{11} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{3} \) |
$0.979631932$ |
$0.284278704$ |
3.341861960 |
\( -\frac{41948171}{4000} a + \frac{18411061}{2000} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 930 i + 11\) , \( -6822 i - 7910\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(930i+11\right){x}-6822i-7910$ |
| 42250.9-e2 |
42250.9-e |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{30} \cdot 5^{9} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$2.938895797$ |
$0.094759568$ |
3.341861960 |
\( \frac{34559248559}{163840} a + \frac{7599502381}{81920} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 13130 i - 4764\) , \( 614243 i + 162635\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(13130i-4764\right){x}+614243i+162635$ |
| 42250.9-f1 |
42250.9-f |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{11} \cdot 13^{4} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$1.186761519$ |
2.373523038 |
\( \frac{2621}{10} a + \frac{8989}{5} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( -34 i - 2\) , \( 5 i - 40\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-34i-2\right){x}+5i-40$ |
| 42250.9-g1 |
42250.9-g |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{13} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 7 \) |
$1$ |
$0.290388924$ |
4.065444937 |
\( -\frac{2255889}{50000} a + \frac{83040173}{50000} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( -527 i + 168\) , \( -1094 i + 177\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-527i+168\right){x}-1094i+177$ |
| 42250.9-h1 |
42250.9-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{7} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \) |
$0.175257256$ |
$2.949405349$ |
6.202856294 |
\( -\frac{929}{20} a + \frac{33453}{20} \) |
\( \bigl[i\) , \( -i - 1\) , \( i + 1\) , \( -5 i\) , \( i - 2\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}-5i{x}+i-2$ |
| 42250.9-h2 |
42250.9-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{21} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \) |
$0.025036750$ |
$0.421343621$ |
6.202856294 |
\( \frac{1514370616477}{160000000} a + \frac{867205725561}{160000000} \) |
\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( 45 i + 399\) , \( -2754 i + 866\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(45i+399\right){x}-2754i+866$ |
| 42250.9-h3 |
42250.9-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{27} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \) |
$0.075110252$ |
$0.140447873$ |
6.202856294 |
\( -\frac{97537954316722440911}{7629394531250000} a + \frac{92449812223605341427}{7629394531250000} \) |
\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( 3285 i - 2281\) , \( -93162 i + 6122\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(3285i-2281\right){x}-93162i+6122$ |
| 42250.9-h4 |
42250.9-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{9} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \) |
$0.525771770$ |
$0.983135116$ |
6.202856294 |
\( \frac{21303619363}{250} a + \frac{15507401559}{250} \) |
\( \bigl[i\) , \( -i - 1\) , \( i + 1\) , \( -290 i - 5\) , \( 1508 i - 1401\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-290i-5\right){x}+1508i-1401$ |
| 42250.9-i1 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{13} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1.112016274$ |
$0.119604597$ |
6.384108451 |
\( \frac{1411302663595036}{34328125} a - \frac{1774751413484333}{137312500} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( -6646 i + 16476\) , \( 769829 i + 499366\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-6646i+16476\right){x}+769829i+499366$ |
| 42250.9-i2 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{11} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.370672091$ |
$0.358813793$ |
6.384108451 |
\( \frac{171697}{6500} a + \frac{2279159}{104000} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( -86 i + 56\) , \( 2677 i + 1030\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-86i+56\right){x}+2677i+1030$ |
| 42250.9-i3 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{31} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$4.448065099$ |
$0.029901149$ |
6.384108451 |
\( -\frac{94290382838862669189021}{261902809143066406250} a + \frac{23228384730714798359947}{261902809143066406250} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( 27519 i - 16679\) , \( 3402809 i + 3267006\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(27519i-16679\right){x}+3402809i+3267006$ |
| 42250.9-i4 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{20} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1.482688366$ |
$0.089703448$ |
6.384108451 |
\( \frac{20122730162024161}{27891601562500} a + \frac{104798752060117927}{27891601562500} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( 6684 i - 2333\) , \( 168611 i + 37554\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(6684i-2333\right){x}+168611i+37554$ |
| 42250.9-i5 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{20} \cdot 13^{12} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$2.224032549$ |
$0.059802298$ |
6.384108451 |
\( \frac{12415547946147007137}{2356840332031250} a + \frac{5474429230691529908}{1178420166015625} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( -7276 i + 16637\) , \( -766037 i - 429510\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-7276i+16637\right){x}-766037i-429510$ |
| 42250.9-i6 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{16} \cdot 13^{18} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$4.448065099$ |
$0.029901149$ |
6.384108451 |
\( -\frac{4240925829815707588031}{728065160077531250} a + \frac{3613304062782124177817}{728065160077531250} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( -52151 i + 52512\) , \( 2113463 i + 6889490\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-52151i+52512\right){x}+2113463i+6889490$ |
| 42250.9-i7 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{16} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.741344183$ |
$0.179406896$ |
6.384108451 |
\( -\frac{117057737097}{21125000} a + \frac{49160487287}{2640625} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( 2434 i - 583\) , \( -41589 i - 19046\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(2434i-583\right){x}-41589i-19046$ |
| 42250.9-i8 |
42250.9-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{17} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1.482688366$ |
$0.089703448$ |
6.384108451 |
\( -\frac{4023422266102893}{20312500} a + \frac{5856979210600901}{20312500} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( 38504 i - 9074\) , \( 2742317 i + 1271550\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(38504i-9074\right){x}+2742317i+1271550$ |
| 42250.9-j1 |
42250.9-j |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.9 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{5} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.735998250$ |
4.415989502 |
\( \frac{2621}{10} a + \frac{8989}{5} \) |
\( \bigl[i\) , \( -i + 1\) , \( i + 1\) , \( -43 i - 77\) , \( 134 i - 4\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-43i-77\right){x}+134i-4$ |
*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.
