| 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 |
| 76050.5-a1 |
76050.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{8} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.110987288$ |
$0.635041399$ |
4.510817490 |
\( \frac{99317171591}{106616250} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( 97\) , \( 297\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}+97{x}+297$ |
| 76050.5-a2 |
76050.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.110987288$ |
$1.270082799$ |
4.510817490 |
\( \frac{4165509529}{1368900} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -33\) , \( 63\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-33{x}+63$ |
| 76050.5-a3 |
76050.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.443949155$ |
$2.540165599$ |
4.510817490 |
\( \frac{273359449}{9360} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -13\) , \( -13\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-13{x}-13$ |
| 76050.5-a4 |
76050.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{8} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.443949155$ |
$0.635041399$ |
4.510817490 |
\( \frac{12501706118329}{2570490} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -483\) , \( 4293\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-483{x}+4293$ |
| 76050.5-b1 |
76050.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{40} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.364863272$ |
0.729726544 |
\( -\frac{2656166199049}{2658140160} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -288\) , \( -3092\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-288{x}-3092$ |
| 76050.5-b2 |
76050.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{16} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.091215818$ |
0.729726544 |
\( \frac{26465989780414729}{10571870144160} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -6208\) , \( -104276\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-6208{x}-104276$ |
| 76050.5-b3 |
76050.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{4} \cdot 13^{8} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.182431636$ |
0.729726544 |
\( \frac{17496824387403529}{6580454400} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -5408\) , \( -152596\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-5408{x}-152596$ |
| 76050.5-b4 |
76050.5-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.091215818$ |
0.729726544 |
\( \frac{71647584155243142409}{10140000} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -86528\) , \( -9789652\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-86528{x}-9789652$ |
| 76050.5-c1 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.643455731$ |
1.286911463 |
\( \frac{38454605290066}{37074375} a - \frac{83851858919303}{16477500} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( -408 i + 244\) , \( 129 i + 3963\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-408i+244\right){x}+129i+3963$ |
| 76050.5-c2 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{9} \cdot 13^{16} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.053621310$ |
1.286911463 |
\( \frac{4896705128958698767967797}{4368390960465187500} a - \frac{3906540643430954043015893}{1456130320155062500} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( 52422 i - 35581\) , \( 6098960 i - 666080\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(52422i-35581\right){x}+6098960i-666080$ |
| 76050.5-c3 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{27} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.053621310$ |
1.286911463 |
\( -\frac{383496341948920335819376969}{14142751693725585937500} a - \frac{352885130319133178679105551}{42428255081176757812500} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 29802 i + 3759\) , \( 1091984 i + 1705272\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(29802i+3759\right){x}+1091984i+1705272$ |
| 76050.5-c4 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{24} \cdot 5^{9} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.160863932$ |
1.286911463 |
\( \frac{1501414967392817401}{101352072656250} a - \frac{7399582703766907213}{912168653906250} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -573 i + 2949\) , \( 63041 i + 16017\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-573i+2949\right){x}+63041i+16017$ |
| 76050.5-c5 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 13^{16} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.160863932$ |
1.286911463 |
\( \frac{54171623201829816649}{31452414915349350} a + \frac{1080418009151652883}{3494712768372150} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( 297 i - 1741\) , \( 5735 i + 31891\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(297i-1741\right){x}+5735i+31891$ |
| 76050.5-c6 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 13^{8} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.321727865$ |
1.286911463 |
\( -\frac{1066631458047677}{488714411250} a + \frac{1105304338731938}{2199214850625} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -378 i + 284\) , \( 745 i - 4081\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-378i+284\right){x}+745i-4081$ |
| 76050.5-c7 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{18} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.214485243$ |
1.286911463 |
\( -\frac{19034303433941453}{12873046875000} a + \frac{35112204753430019}{34328125000000} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( -1008 i - 71\) , \( 11736 i - 1812\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-1008i-71\right){x}+11736i-1812$ |
| 76050.5-c8 |
76050.5-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{18} \cdot 13^{8} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.107242621$ |
1.286911463 |
\( \frac{44012581949831266351}{28282083984375000} a + \frac{23225932440944378401}{21211562988281250} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 3672 i - 1831\) , \( -86960 i + 37580\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(3672i-1831\right){x}-86960i+37580$ |
| 76050.5-d1 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.643455731$ |
1.286911463 |
\( -\frac{38454605290066}{37074375} a - \frac{83851858919303}{16477500} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 407 i + 244\) , \( 129 i - 3963\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(407i+244\right){x}+129i-3963$ |
| 76050.5-d2 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{9} \cdot 13^{16} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.053621310$ |
1.286911463 |
\( -\frac{4896705128958698767967797}{4368390960465187500} a - \frac{3906540643430954043015893}{1456130320155062500} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -52423 i - 35581\) , \( 6098960 i + 666080\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-52423i-35581\right){x}+6098960i+666080$ |
| 76050.5-d3 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{27} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.053621310$ |
1.286911463 |
\( \frac{383496341948920335819376969}{14142751693725585937500} a - \frac{352885130319133178679105551}{42428255081176757812500} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( -29803 i + 3759\) , \( 1091984 i - 1705272\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-29803i+3759\right){x}+1091984i-1705272$ |
| 76050.5-d4 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{24} \cdot 5^{9} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.160863932$ |
1.286911463 |
\( -\frac{1501414967392817401}{101352072656250} a - \frac{7399582703766907213}{912168653906250} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( 572 i + 2949\) , \( 63041 i - 16017\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(572i+2949\right){x}+63041i-16017$ |
| 76050.5-d5 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 13^{16} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.160863932$ |
1.286911463 |
\( -\frac{54171623201829816649}{31452414915349350} a + \frac{1080418009151652883}{3494712768372150} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -298 i - 1741\) , \( 5735 i - 31891\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-298i-1741\right){x}+5735i-31891$ |
| 76050.5-d6 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{6} \cdot 13^{8} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.321727865$ |
1.286911463 |
\( \frac{1066631458047677}{488714411250} a + \frac{1105304338731938}{2199214850625} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( 377 i + 284\) , \( 745 i + 4081\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(377i+284\right){x}+745i+4081$ |
| 76050.5-d7 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{18} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.214485243$ |
1.286911463 |
\( \frac{19034303433941453}{12873046875000} a + \frac{35112204753430019}{34328125000000} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 1007 i - 71\) , \( 11736 i + 1812\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(1007i-71\right){x}+11736i+1812$ |
| 76050.5-d8 |
76050.5-d |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{18} \cdot 13^{8} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.107242621$ |
1.286911463 |
\( -\frac{44012581949831266351}{28282083984375000} a + \frac{23225932440944378401}{21211562988281250} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( -3673 i - 1831\) , \( -86960 i - 37580\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-3673i-1831\right){x}-86960i-37580$ |
| 76050.5-e1 |
76050.5-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.153237366$ |
$2.921279344$ |
3.581193234 |
\( -\frac{23596843}{48750} a + \frac{19992146}{8125} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( -3 i + 6\) , \( 4\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-3i+6\right){x}+4$ |
| 76050.5-e2 |
76050.5-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.306474733$ |
$1.460639672$ |
3.581193234 |
\( -\frac{42581996227}{25350} a + \frac{173581528357}{76050} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( -28 i + 81\) , \( 230 i + 164\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-28i+81\right){x}+230i+164$ |
| 76050.5-f1 |
76050.5-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.153237366$ |
$2.921279344$ |
3.581193234 |
\( \frac{23596843}{48750} a + \frac{19992146}{8125} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( 2 i + 6\) , \( 4\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(2i+6\right){x}+4$ |
| 76050.5-f2 |
76050.5-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.306474733$ |
$1.460639672$ |
3.581193234 |
\( \frac{42581996227}{25350} a + \frac{173581528357}{76050} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( 27 i + 81\) , \( -230 i + 164\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(27i+81\right){x}-230i+164$ |
| 76050.5-g1 |
76050.5-g |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.208615532$ |
2.417231064 |
\( -\frac{16022066761}{998400} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -52\) , \( 176\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-52{x}+176$ |
| 76050.5-g2 |
76050.5-g |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.604307766$ |
2.417231064 |
\( \frac{68523370149961}{243360} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -852\) , \( 9936\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-852{x}+9936$ |
| 76050.5-h1 |
76050.5-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{5} \cdot 13^{12} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
$0.144546636$ |
$0.234718326$ |
4.071329356 |
\( -\frac{3127785311994266947}{137858491849000} a - \frac{32765280950314910759}{1240726426641000} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( -1503 i - 630\) , \( 25525 i - 4419\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-1503i-630\right){x}+25525i-4419$ |
| 76050.5-h2 |
76050.5-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{10} \cdot 13^{6} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
$0.072273318$ |
$0.469436652$ |
4.071329356 |
\( -\frac{68288296877079}{185646500000} a - \frac{4107969467579}{139234875000} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( -3 i - 130\) , \( -725 i + 1019\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-3i-130\right){x}-725i+1019$ |
| 76050.5-i1 |
76050.5-i |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{10} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.056416372$ |
$0.836267582$ |
3.774334706 |
\( \frac{126440702827}{274218750} a - \frac{31439978774}{94921875} \) |
\( \bigl[1\) , \( i - 1\) , \( i\) , \( 14 i + 44\) , \( 166 i - 194\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(14i+44\right){x}+166i-194$ |
| 76050.5-i2 |
76050.5-i |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{20} \cdot 5^{5} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.112832745$ |
$0.418133791$ |
3.774334706 |
\( -\frac{752402565283}{106616250} a + \frac{4844505027173}{12474101250} \) |
\( \bigl[1\) , \( i - 1\) , \( i\) , \( 239 i - 281\) , \( 2396 i - 1054\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(239i-281\right){x}+2396i-1054$ |
| 76050.5-j1 |
76050.5-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{10} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.056416372$ |
$0.836267582$ |
3.774334706 |
\( -\frac{126440702827}{274218750} a - \frac{31439978774}{94921875} \) |
\( \bigl[1\) , \( -i - 1\) , \( i\) , \( -15 i + 44\) , \( -166 i - 194\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-15i+44\right){x}-166i-194$ |
| 76050.5-j2 |
76050.5-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{20} \cdot 5^{5} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 5 \) |
$0.112832745$ |
$0.418133791$ |
3.774334706 |
\( \frac{752402565283}{106616250} a + \frac{4844505027173}{12474101250} \) |
\( \bigl[1\) , \( -i - 1\) , \( i\) , \( -240 i - 281\) , \( -2396 i - 1054\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-240i-281\right){x}-2396i-1054$ |
| 76050.5-k1 |
76050.5-k |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{5} \cdot 13^{12} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
$0.144546636$ |
$0.234718326$ |
4.071329356 |
\( \frac{3127785311994266947}{137858491849000} a - \frac{32765280950314910759}{1240726426641000} \) |
\( \bigl[1\) , \( 0\) , \( i\) , \( 1502 i - 630\) , \( 25525 i + 4419\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(1502i-630\right){x}+25525i+4419$ |
| 76050.5-k2 |
76050.5-k |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{10} \cdot 13^{6} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
$0.072273318$ |
$0.469436652$ |
4.071329356 |
\( \frac{68288296877079}{185646500000} a - \frac{4107969467579}{139234875000} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( 2 i - 130\) , \( -725 i - 1019\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(2i-130\right){x}-725i-1019$ |
| 76050.5-l1 |
76050.5-l |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{60} \cdot 3^{6} \cdot 5^{4} \cdot 13^{6} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.036238799$ |
1.956895169 |
\( -\frac{16818951115904497561}{1592332281446400} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -53377\) , \( 5124652\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-53377{x}+5124652$ |
| 76050.5-l2 |
76050.5-l |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{18} \cdot 5^{12} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{4} \) |
$1$ |
$0.108716398$ |
1.956895169 |
\( \frac{7064514799444439}{4094064000000} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( 3998\) , \( -3998\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+3998{x}-3998$ |
| 76050.5-l3 |
76050.5-l |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{36} \cdot 5^{6} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{4} \) |
$1$ |
$0.054358199$ |
1.956895169 |
\( \frac{453198971846635561}{261896250564000} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -16002\) , \( -27998\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-16002{x}-27998$ |
| 76050.5-l4 |
76050.5-l |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{30} \cdot 3^{12} \cdot 5^{2} \cdot 13^{12} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$1$ |
$0.018119399$ |
1.956895169 |
\( \frac{73474353581350183614361}{576510977802240} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -872577\) , \( 313799212\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-872577{x}+313799212$ |
| 76050.5-m1 |
76050.5-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.112803541$ |
$2.438138537$ |
6.600735904 |
\( \frac{6967871}{35100} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( 5\) , \( 7\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+5{x}+7$ |
| 76050.5-m2 |
76050.5-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.225607083$ |
$1.219069268$ |
6.600735904 |
\( \frac{10779215329}{1232010} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -45\) , \( 127\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-45{x}+127$ |
| 76050.5-n1 |
76050.5-n |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.514659436$ |
$1.540509251$ |
6.342700985 |
\( -\frac{24137569}{561600} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -6\) , \( -36\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-6{x}-36$ |
| 76050.5-n2 |
76050.5-n |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{12} \cdot 13^{6} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.171553145$ |
$0.513503083$ |
6.342700985 |
\( \frac{17394111071}{411937500} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 54\) , \( 960\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+54{x}+960$ |
| 76050.5-n3 |
76050.5-n |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 13^{12} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$0.343106291$ |
$0.256751541$ |
6.342700985 |
\( \frac{189208196468929}{10860320250} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -1196\) , \( 15210\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-1196{x}+15210$ |
| 76050.5-n4 |
76050.5-n |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{4} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1.029318873$ |
$0.770254625$ |
6.342700985 |
\( \frac{967068262369}{4928040} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -206\) , \( -1116\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-206{x}-1116$ |
| 76050.5-o1 |
76050.5-o |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13^{16} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1.150951628$ |
$0.216937378$ |
7.989901744 |
\( -\frac{168288035761}{73415764890} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -114\) , \( 13093\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-114{x}+13093$ |
| 76050.5-o2 |
76050.5-o |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
76050.5 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$2.96786$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.575475814$ |
$1.735499031$ |
7.989901744 |
\( \frac{371694959}{249600} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( 16\) , \( -15\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+16{x}-15$ |
*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.
