| 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 |
| 10012.1-a1 |
10012.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10012.1 |
\( 2^{2} \cdot 2503 \) |
\( 2^{4} \cdot 2503 \) |
$1.54821$ |
$(51a-49), (2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2 \) |
$0.035238519$ |
$5.682904958$ |
1.849896399 |
\( \frac{6994101}{10012} a - \frac{2672531}{5006} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( a + 1\) , \( 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(a+1\right){x}+1$ |
| 10012.2-a1 |
10012.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10012.2 |
\( 2^{2} \cdot 2503 \) |
\( 2^{4} \cdot 2503 \) |
$1.54821$ |
$(-51a+2), (2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 2 \) |
$0.035238519$ |
$5.682904958$ |
1.849896399 |
\( -\frac{6994101}{10012} a + \frac{1649039}{10012} \) |
\( \bigl[1\) , \( -a - 1\) , \( 0\) , \( 2 a - 1\) , \( 1\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-1\right){x}+1$ |
| 10053.1-a1 |
10053.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10053.1 |
\( 3^{2} \cdot 1117 \) |
\( 3^{7} \cdot 1117 \) |
$1.54979$ |
$(-2a+1), (37a-28)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$0.027183399$ |
$4.042559549$ |
2.030250084 |
\( \frac{537434}{3351} a + \frac{4491449}{3351} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( a + 1\) , \( -a\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+1\right){x}-a$ |
| 10053.2-a1 |
10053.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10053.2 |
\( 3^{2} \cdot 1117 \) |
\( 3^{7} \cdot 1117 \) |
$1.54979$ |
$(-2a+1), (37a-9)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \) |
$0.027183399$ |
$4.042559549$ |
2.030250084 |
\( -\frac{537434}{3351} a + \frac{5028883}{3351} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( 3 a - 1\) , \( 0\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(3a-1\right){x}$ |
| 10092.1-a1 |
10092.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{26} \cdot 3^{2} \cdot 29^{2} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
|
|
$1$ |
\( 2 \cdot 13 \) |
$0.027321701$ |
$1.233279083$ |
2.023214005 |
\( -\frac{19968681097}{712704} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 56 a\) , \( -192\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+56a{x}-192$ |
| 10092.1-b1 |
10092.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 29^{2} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
|
|
$1$ |
\( 2 \) |
$0.138093174$ |
$3.667475200$ |
2.339207566 |
\( -\frac{13997521}{1566} \) |
\( \bigl[a\) , \( a - 1\) , \( 1\) , \( 4 a\) , \( -7\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+4a{x}-7$ |
| 10092.1-c1 |
10092.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 29^{2} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$4.198874530$ |
2.424221340 |
\( \frac{12167}{1392} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -1\) , \( -2\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}-{x}-2$ |
| 10092.1-c2 |
10092.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 29^{8} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.049718632$ |
2.424221340 |
\( \frac{13430356633}{4243686} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -50 a + 49\) , \( 86\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-50a+49\right){x}+86$ |
| 10092.1-c3 |
10092.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 29^{4} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.099437265$ |
2.424221340 |
\( \frac{822656953}{30276} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -20 a + 19\) , \( -34\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-20a+19\right){x}-34$ |
| 10092.1-c4 |
10092.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 29^{2} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.049718632$ |
2.424221340 |
\( \frac{3279392280793}{4698} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -310 a + 309\) , \( -2122\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-310a+309\right){x}-2122$ |
| 10092.1-d1 |
10092.1-d |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 29^{14} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.3 |
$1$ |
\( 2 \cdot 7 \) |
$1$ |
$0.141523007$ |
2.287833704 |
\( -\frac{30526075007211889}{103499257854} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -6511 a + 6511\) , \( -203353\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-6511a+6511\right){x}-203353$ |
| 10092.1-d2 |
10092.1-d |
$2$ |
$7$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 29^{2} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/7\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$7$ |
7B.1.1 |
$1$ |
\( 2 \cdot 7^{2} \) |
$1$ |
$0.990661053$ |
2.287833704 |
\( -\frac{117649}{8118144} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -a + 1\) , \( 137\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}+137$ |
| 10092.1-e1 |
10092.1-e |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{22} \cdot 3^{42} \cdot 29^{2} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \) |
$1$ |
$0.047800804$ |
2.833374908 |
\( -\frac{50577879066661513}{621261297432576} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -7705 a + 7704\) , \( 1226492\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-7705a+7704\right){x}+1226492$ |
| 10092.1-e2 |
10092.1-e |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10092.1 |
\( 2^{2} \cdot 3 \cdot 29^{2} \) |
\( 2^{66} \cdot 3^{14} \cdot 29^{6} \) |
$1.55129$ |
$(-2a+1), (2), (29)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
$1$ |
$0.015933601$ |
2.833374908 |
\( \frac{36079072622241241607}{458176313589497856} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 68840 a - 68841\) , \( -31810330\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(68840a-68841\right){x}-31810330$ |
| 10093.1-a1 |
10093.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10093.1 |
\( 10093 \) |
\( 10093 \) |
$1.55133$ |
$(116a-57)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$0.160583865$ |
$3.307869866$ |
1.226731981 |
\( \frac{561347396}{10093} a + \frac{73118864461}{10093} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 12 a - 22\) , \( 24 a - 45\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-22\right){x}+24a-45$ |
| 10093.2-a1 |
10093.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10093.2 |
\( 10093 \) |
\( 10093 \) |
$1.55133$ |
$(116a-59)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$0.160583865$ |
$3.307869866$ |
1.226731981 |
\( -\frac{561347396}{10093} a + \frac{73680211857}{10093} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -10 a + 22\) , \( -24 a - 21\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-10a+22\right){x}-24a-21$ |
| 10101.2-a1 |
10101.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.2 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (-3a+1), (-4a+1), (-7a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.787227826$ |
2.727037186 |
\( \frac{90200010715916944}{734923537803} a - \frac{17256638268687469}{81658170867} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 209 a - 179\) , \( -1095 a + 251\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(209a-179\right){x}-1095a+251$ |
| 10101.2-a2 |
10101.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.2 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{3} \cdot 7^{3} \cdot 13 \cdot 37^{4} \) |
$1.55164$ |
$(-2a+1), (-3a+1), (-4a+1), (-7a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.574455653$ |
2.727037186 |
\( -\frac{3955077649888}{75211955091} a + \frac{31248843309155}{75211955091} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 9 a - 14\) , \( -21 a - 19\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-14\right){x}-21a-19$ |
| 10101.2-a3 |
10101.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.2 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{12} \cdot 7^{12} \cdot 13 \cdot 37 \) |
$1.55164$ |
$(-2a+1), (-3a+1), (-4a+1), (-7a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.393613913$ |
2.727037186 |
\( -\frac{491436275047108472}{4853433515743449} a + \frac{4656169968486834719}{4853433515743449} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 289 a - 134\) , \( -957 a + 1471\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(289a-134\right){x}-957a+1471$ |
| 10101.2-a4 |
10101.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.2 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{3} \cdot 7^{3} \cdot 13^{4} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (-3a+1), (-4a+1), (-7a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$0.393613913$ |
2.727037186 |
\( -\frac{120679455486356464664}{3262208859} a + \frac{97574086140140680675}{3262208859} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 3329 a - 2864\) , \( -74529 a + 22811\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3329a-2864\right){x}-74529a+22811$ |
| 10101.4-a1 |
10101.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3 \cdot 7 \cdot 13^{2} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.382769824$ |
$3.861003798$ |
1.541201771 |
\( \frac{21794611808}{131313} a - \frac{10186013983}{131313} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( 8 a - 6\) , \( -11 a + 4\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(8a-6\right){x}-11a+4$ |
| 10101.4-a2 |
10101.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{4} \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.691384912$ |
$1.930501899$ |
1.541201771 |
\( -\frac{1715485771504}{5747701323} a + \frac{8805095519083}{5747701323} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( 13 a - 6\) , \( -8 a + 14\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(13a-6\right){x}-8a+14$ |
| 10101.4-a3 |
10101.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{4} \cdot 7^{4} \cdot 13^{2} \cdot 37^{4} \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.345692456$ |
$0.965250949$ |
1.541201771 |
\( \frac{2898622928805368}{6844287913281} a + \frac{4279826233939891}{2281429304427} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( -62 a + 34\) , \( -21 a + 66\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-62a+34\right){x}-21a+66$ |
| 10101.4-a4 |
10101.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 37^{8} \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.172846228$ |
$0.482625474$ |
1.541201771 |
\( -\frac{244765307895007699556}{6712348236443031} a + \frac{484283621345768240195}{6712348236443031} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( -497 a + 214\) , \( 3222 a - 3780\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-497a+214\right){x}+3222a-3780$ |
| 10101.4-a5 |
10101.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3 \cdot 7 \cdot 13^{8} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.382769824$ |
$0.965250949$ |
1.541201771 |
\( -\frac{347117742875829944}{633822770217} a + \frac{136852733908345999}{633822770217} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( 168 a - 46\) , \( 277 a + 542\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(168a-46\right){x}+277a+542$ |
| 10101.4-a6 |
10101.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{8} \cdot 7^{8} \cdot 13 \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.691384912$ |
$0.482625474$ |
1.541201771 |
\( \frac{9763758192716753644}{8310289235157} a + \frac{5291271293866402295}{8310289235157} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( -827 a + 494\) , \( -4816 a + 8300\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-827a+494\right){x}-4816a+8300$ |
| 10101.4-b1 |
10101.4-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{10} \cdot 7^{2} \cdot 13 \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.063482989$ |
$1.726451677$ |
2.531110817 |
\( \frac{134623156573}{70636293} a - \frac{232551649756}{211908879} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 15 a - 14\) , \( 29 a - 23\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(15a-14\right){x}+29a-23$ |
| 10101.4-b2 |
10101.4-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.4 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{5} \cdot 7 \cdot 13^{2} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (-3a+1), (4a-3), (-7a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$0.126965978$ |
$3.452903355$ |
2.531110817 |
\( -\frac{3555054319}{1181817} a + \frac{1828156583}{1181817} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -5 a + 1\) , \( 4 a - 1\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-5a+1\right){x}+4a-1$ |
| 10101.5-a1 |
10101.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3 \cdot 7 \cdot 13^{8} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.382769824$ |
$0.965250949$ |
1.541201771 |
\( \frac{347117742875829944}{633822770217} a - \frac{210265008967483945}{633822770217} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 46 a - 169\) , \( -278 a + 820\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(46a-169\right){x}-278a+820$ |
| 10101.5-a2 |
10101.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{4} \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.691384912$ |
$1.930501899$ |
1.541201771 |
\( \frac{1715485771504}{5747701323} a + \frac{2363203249193}{1915900441} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 6 a - 14\) , \( 7 a + 7\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(6a-14\right){x}+7a+7$ |
| 10101.5-a3 |
10101.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{4} \cdot 7^{4} \cdot 13^{2} \cdot 37^{4} \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.345692456$ |
$0.965250949$ |
1.541201771 |
\( -\frac{2898622928805368}{6844287913281} a + \frac{15738101630625041}{6844287913281} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -34 a + 61\) , \( 20 a + 46\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-34a+61\right){x}+20a+46$ |
| 10101.5-a4 |
10101.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 37^{8} \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.172846228$ |
$0.482625474$ |
1.541201771 |
\( \frac{244765307895007699556}{6712348236443031} a + \frac{79839437816920180213}{2237449412147677} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -214 a + 496\) , \( -3223 a - 557\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-214a+496\right){x}-3223a-557$ |
| 10101.5-a5 |
10101.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3 \cdot 7 \cdot 13^{2} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.382769824$ |
$3.861003798$ |
1.541201771 |
\( -\frac{21794611808}{131313} a + \frac{11608597825}{131313} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 6 a - 9\) , \( 10 a - 6\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(6a-9\right){x}+10a-6$ |
| 10101.5-a6 |
10101.5-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{8} \cdot 7^{8} \cdot 13 \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.691384912$ |
$0.482625474$ |
1.541201771 |
\( -\frac{9763758192716753644}{8310289235157} a + \frac{5018343162194385313}{2770096411719} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -494 a + 826\) , \( 4815 a + 3485\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-494a+826\right){x}+4815a+3485$ |
| 10101.5-b1 |
10101.5-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{5} \cdot 7 \cdot 13^{2} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$0.126965978$ |
$3.452903355$ |
2.531110817 |
\( \frac{3555054319}{1181817} a - \frac{1726897736}{1181817} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( 3 a - 4\) , \( -5 a + 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-4\right){x}-5a+3$ |
| 10101.5-b2 |
10101.5-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.5 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{10} \cdot 7^{2} \cdot 13 \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (3a-2), (-4a+1), (-7a+4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.063482989$ |
$1.726451677$ |
2.531110817 |
\( -\frac{134623156573}{70636293} a + \frac{171317819963}{211908879} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -17 a + 1\) , \( -30 a + 6\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-17a+1\right){x}-30a+6$ |
| 10101.7-a1 |
10101.7-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.7 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{3} \cdot 7^{3} \cdot 13^{4} \cdot 37 \) |
$1.55164$ |
$(-2a+1), (3a-2), (4a-3), (-7a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$0.393613913$ |
2.727037186 |
\( \frac{120679455486356464664}{3262208859} a - \frac{23105369346215783989}{3262208859} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 2864 a - 3327\) , \( 74993 a - 48854\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2864a-3327\right){x}+74993a-48854$ |
| 10101.7-a2 |
10101.7-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.7 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{6} \cdot 7^{6} \cdot 13^{2} \cdot 37^{2} \) |
$1.55164$ |
$(-2a+1), (3a-2), (4a-3), (-7a+4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.787227826$ |
2.727037186 |
\( -\frac{90200010715916944}{734923537803} a - \frac{65109733702270277}{734923537803} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 179 a - 207\) , \( 1124 a - 665\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(179a-207\right){x}+1124a-665$ |
| 10101.7-a3 |
10101.7-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.7 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{3} \cdot 7^{3} \cdot 13 \cdot 37^{4} \) |
$1.55164$ |
$(-2a+1), (3a-2), (4a-3), (-7a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.574455653$ |
2.727037186 |
\( \frac{3955077649888}{75211955091} a + \frac{27293765659267}{75211955091} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 14 a - 7\) , \( 15 a - 26\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14a-7\right){x}+15a-26$ |
| 10101.7-a4 |
10101.7-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10101.7 |
\( 3 \cdot 7 \cdot 13 \cdot 37 \) |
\( 3^{12} \cdot 7^{12} \cdot 13 \cdot 37 \) |
$1.55164$ |
$(-2a+1), (3a-2), (4a-3), (-7a+4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.393613913$ |
2.727037186 |
\( \frac{491436275047108472}{4853433515743449} a + \frac{462748188159969583}{539270390638161} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 134 a - 287\) , \( 1111 a + 648\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(134a-287\right){x}+1111a+648$ |
| 10108.2-a1 |
10108.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.2 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{6} \cdot 7^{3} \cdot 19^{8} \) |
$1.55191$ |
$(-3a+1), (-5a+3), (-5a+2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.539924664$ |
$0.478884368$ |
1.791366491 |
\( -\frac{105665660596396889}{64546948732} a - \frac{212932479689852757}{129093897464} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -774 a - 35\) , \( -9432 a + 4213\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-774a-35\right){x}-9432a+4213$ |
| 10108.2-a2 |
10108.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.2 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{4} \cdot 7^{2} \cdot 19^{4} \) |
$1.55191$ |
$(-3a+1), (-5a+3), (-5a+2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.809886996$ |
$2.873306208$ |
1.791366491 |
\( \frac{3628873737}{1344364} a - \frac{300261802}{336091} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 6 a\) , \( -3 a + 7\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+6a{x}-3a+7$ |
| 10108.2-a3 |
10108.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.2 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 7 \cdot 19^{8} \) |
$1.55191$ |
$(-3a+1), (-5a+3), (-5a+2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1.619773992$ |
$1.436653104$ |
1.791366491 |
\( -\frac{1262319030009}{658642334} a + \frac{763753623835}{658642334} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -4 a - 20\) , \( -a + 53\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-20\right){x}-a+53$ |
| 10108.2-a4 |
10108.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.2 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{12} \cdot 7^{6} \cdot 19^{4} \) |
$1.55191$ |
$(-3a+1), (-5a+3), (-5a+2), (2)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.269962332$ |
$0.957768736$ |
1.791366491 |
\( -\frac{11285002523099}{6455635928} a + \frac{107228235751159}{51645087424} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -54 a + 5\) , \( -112 a + 5\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-54a+5\right){x}-112a+5$ |
| 10108.3-a1 |
10108.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.3 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{24} \cdot 7^{3} \cdot 19^{4} \) |
$1.55191$ |
$(-3a+1), (-5a+2), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$0.089997492$ |
$0.781840464$ |
1.949975534 |
\( -\frac{646862543}{702464} a + \frac{3391232917}{1404928} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 64 a + 27\) , \( 214 a - 197\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(64a+27\right){x}+214a-197$ |
| 10108.3-a2 |
10108.3-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.3 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{8} \cdot 7 \cdot 19^{4} \) |
$1.55191$ |
$(-3a+1), (-5a+2), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.269992477$ |
$2.345521394$ |
1.949975534 |
\( -\frac{3579687}{112} a + \frac{1752629}{112} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -16 a + 2\) , \( 15 a - 11\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-16a+2\right){x}+15a-11$ |
| 10108.3-b1 |
10108.3-b |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.3 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{12} \cdot 7 \cdot 19^{2} \) |
$1.55191$ |
$(-3a+1), (-5a+2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \cdot 3 \) |
$0.056205220$ |
$3.255106227$ |
2.535084471 |
\( \frac{1127925}{224} a - \frac{4599531}{448} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( -6 a - 1\) , \( 5 a\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-6a-1\right){x}+5a$ |
| 10108.3-b2 |
10108.3-b |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.3 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{4} \cdot 7^{3} \cdot 19^{2} \) |
$1.55191$ |
$(-3a+1), (-5a+2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$0.168615660$ |
$3.255106227$ |
2.535084471 |
\( -\frac{108852903}{1372} a + \frac{26567325}{1372} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -5 a - 7\) , \( -5 a - 5\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-7\right){x}-5a-5$ |
| 10108.3-c1 |
10108.3-c |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.3 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{2} \cdot 7 \cdot 19^{9} \) |
$1.55191$ |
$(-3a+1), (-5a+2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.484619355$ |
$1.150841738$ |
2.575999177 |
\( -\frac{1646}{7} a + \frac{13915}{14} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -27 a - 5\) , \( -a + 58\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-27a-5\right){x}-a+58$ |
| 10108.4-a1 |
10108.4-a |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
10108.4 |
\( 2^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{8} \cdot 7 \cdot 19^{4} \) |
$1.55191$ |
$(3a-2), (-5a+3), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.269992477$ |
$2.345521394$ |
1.949975534 |
\( \frac{3579687}{112} a - \frac{913529}{56} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -16 a - 3\) , \( -33 a + 19\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a-3\right){x}-33a+19$ |
*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.
