| 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 |
| 42250.4-a1 |
42250.4-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{5} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$0.296397316$ |
$2.291928188$ |
2.717285461 |
\( \frac{41948171}{4000} a + \frac{18411061}{2000} \) |
\( \bigl[1\) , \( -i + 1\) , \( 1\) , \( 13 i - 4\) , \( -12 i - 4\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(13i-4\right){x}-12i-4$ |
| 42250.4-a2 |
42250.4-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{30} \cdot 5^{3} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$0.889191950$ |
$0.763976062$ |
2.717285461 |
\( -\frac{34559248559}{163840} a + \frac{7599502381}{81920} \) |
\( \bigl[1\) , \( -i + 1\) , \( 1\) , \( 213 i + 21\) , \( 798 i + 1056\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(213i+21\right){x}+798i+1056$ |
| 42250.4-b1 |
42250.4-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{17} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.211903286$ |
1.695226293 |
\( -\frac{353750760581}{66015625} a - \frac{156546352109}{132031250} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( 1348 i - 114\) , \( -14652 i - 14414\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}+\left(1348i-114\right){x}-14652i-14414$ |
| 42250.4-b2 |
42250.4-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{13} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.423806573$ |
1.695226293 |
\( \frac{5423261}{8125} a - \frac{19770367}{32500} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -72 i + 196\) , \( 1808 i + 556\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-72i+196\right){x}+1808i+556$ |
| 42250.4-c1 |
42250.4-c |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{15} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.151279787$ |
0.907678723 |
\( -\frac{2412409957}{62500} a - \frac{352209201}{62500} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( -671 i - 3958\) , \( 24026 i + 97102\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-671i-3958\right){x}+24026i+97102$ |
| 42250.4-c2 |
42250.4-c |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{9} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$0.453839361$ |
0.907678723 |
\( -\frac{40729}{50} a + \frac{80613}{50} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( -56 i + 222\) , \( 439 i + 643\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-56i+222\right){x}+439i+643$ |
| 42250.4-d1 |
42250.4-d |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{27} \cdot 5^{11} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.289993909$ |
1.739963456 |
\( -\frac{577233446569}{2048000} a - \frac{853138583973}{2048000} \) |
\( \bigl[i\) , \( -i - 1\) , \( i\) , \( 1602 i - 525\) , \( 24899 i + 8901\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(1602i-525\right){x}+24899i+8901$ |
| 42250.4-d2 |
42250.4-d |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2 \) |
$1$ |
$0.869981728$ |
1.739963456 |
\( \frac{2944910839}{500000} a + \frac{24766677}{500000} \) |
\( \bigl[i\) , \( -i - 1\) , \( i\) , \( 42 i - 70\) , \( -169 i + 275\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(42i-70\right){x}-169i+275$ |
| 42250.4-e1 |
42250.4-e |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{11} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 2 \cdot 3^{3} \) |
$0.979631932$ |
$0.284278704$ |
3.341861960 |
\( \frac{41948171}{4000} a + \frac{18411061}{2000} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -931 i + 11\) , \( 6822 i - 7910\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-931i+11\right){x}+6822i-7910$ |
| 42250.4-e2 |
42250.4-e |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{30} \cdot 5^{9} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$2.938895797$ |
$0.094759568$ |
3.341861960 |
\( -\frac{34559248559}{163840} a + \frac{7599502381}{81920} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -13131 i - 4764\) , \( -614243 i + 162635\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-13131i-4764\right){x}-614243i+162635$ |
| 42250.4-f1 |
42250.4-f |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{11} \cdot 13^{4} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$1.186761519$ |
2.373523038 |
\( -\frac{2621}{10} a + \frac{8989}{5} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( 34 i - 1\) , \( 5 i + 40\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(34i-1\right){x}+5i+40$ |
| 42250.4-g1 |
42250.4-g |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{13} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 7 \) |
$1$ |
$0.290388924$ |
4.065444937 |
\( \frac{2255889}{50000} a + \frac{83040173}{50000} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( 527 i + 169\) , \( -1094 i - 177\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(527i+169\right){x}-1094i-177$ |
| 42250.4-h1 |
42250.4-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{7} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \) |
$0.175257256$ |
$2.949405349$ |
6.202856294 |
\( \frac{929}{20} a + \frac{33453}{20} \) |
\( \bigl[i\) , \( i - 1\) , \( i + 1\) , \( 4 i\) , \( -2 i - 2\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+4i{x}-2i-2$ |
| 42250.4-h2 |
42250.4-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{21} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \) |
$0.025036750$ |
$0.421343621$ |
6.202856294 |
\( -\frac{1514370616477}{160000000} a + \frac{867205725561}{160000000} \) |
\( \bigl[1\) , \( -i + 1\) , \( i + 1\) , \( -46 i + 399\) , \( 2753 i + 866\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-46i+399\right){x}+2753i+866$ |
| 42250.4-h3 |
42250.4-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{27} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \) |
$0.075110252$ |
$0.140447873$ |
6.202856294 |
\( \frac{97537954316722440911}{7629394531250000} a + \frac{92449812223605341427}{7629394531250000} \) |
\( \bigl[1\) , \( -i + 1\) , \( i + 1\) , \( -3286 i - 2281\) , \( 93161 i + 6122\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-3286i-2281\right){x}+93161i+6122$ |
| 42250.4-h4 |
42250.4-h |
$4$ |
$21$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{9} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3, 7$ |
3B, 7B |
$1$ |
\( 2 \cdot 3 \) |
$0.525771770$ |
$0.983135116$ |
6.202856294 |
\( -\frac{21303619363}{250} a + \frac{15507401559}{250} \) |
\( \bigl[i\) , \( i - 1\) , \( i + 1\) , \( 289 i - 5\) , \( -1509 i - 1401\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(289i-5\right){x}-1509i-1401$ |
| 42250.4-i1 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{13} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1.112016274$ |
$0.119604597$ |
6.384108451 |
\( -\frac{1411302663595036}{34328125} a - \frac{1774751413484333}{137312500} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( 6646 i + 16476\) , \( -769829 i + 499366\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(6646i+16476\right){x}-769829i+499366$ |
| 42250.4-i2 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{11} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.370672091$ |
$0.358813793$ |
6.384108451 |
\( -\frac{171697}{6500} a + \frac{2279159}{104000} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( 86 i + 56\) , \( -2677 i + 1030\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(86i+56\right){x}-2677i+1030$ |
| 42250.4-i3 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{31} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$4.448065099$ |
$0.029901149$ |
6.384108451 |
\( \frac{94290382838862669189021}{261902809143066406250} a + \frac{23228384730714798359947}{261902809143066406250} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( -27519 i - 16679\) , \( -3402809 i + 3267006\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-27519i-16679\right){x}-3402809i+3267006$ |
| 42250.4-i4 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{20} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1.482688366$ |
$0.089703448$ |
6.384108451 |
\( -\frac{20122730162024161}{27891601562500} a + \frac{104798752060117927}{27891601562500} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( -6684 i - 2333\) , \( -168611 i + 37554\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-6684i-2333\right){x}-168611i+37554$ |
| 42250.4-i5 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{20} \cdot 13^{12} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$2.224032549$ |
$0.059802298$ |
6.384108451 |
\( -\frac{12415547946147007137}{2356840332031250} a + \frac{5474429230691529908}{1178420166015625} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( 7276 i + 16637\) , \( 766037 i - 429510\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(7276i+16637\right){x}+766037i-429510$ |
| 42250.4-i6 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{16} \cdot 13^{18} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$4.448065099$ |
$0.029901149$ |
6.384108451 |
\( \frac{4240925829815707588031}{728065160077531250} a + \frac{3613304062782124177817}{728065160077531250} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( 52151 i + 52512\) , \( -2113463 i + 6889490\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(52151i+52512\right){x}-2113463i+6889490$ |
| 42250.4-i7 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{16} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.741344183$ |
$0.179406896$ |
6.384108451 |
\( \frac{117057737097}{21125000} a + \frac{49160487287}{2640625} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( -2434 i - 583\) , \( 41589 i - 19046\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-2434i-583\right){x}+41589i-19046$ |
| 42250.4-i8 |
42250.4-i |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{17} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1.482688366$ |
$0.089703448$ |
6.384108451 |
\( \frac{4023422266102893}{20312500} a + \frac{5856979210600901}{20312500} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( -38504 i - 9074\) , \( -2742317 i + 1271550\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-38504i-9074\right){x}-2742317i+1271550$ |
| 42250.4-j1 |
42250.4-j |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.4 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{5} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$0.735998250$ |
4.415989502 |
\( -\frac{2621}{10} a + \frac{8989}{5} \) |
\( \bigl[1\) , \( -i - 1\) , \( i + 1\) , \( 42 i - 78\) , \( 134 i + 4\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(42i-78\right){x}+134i+4$ |
*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.
