| 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 |
| 726.1-a1 |
726.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{42} \cdot 3^{3} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.173858834$ |
1.355095508 |
\( -\frac{1196935082730242225}{25121783808} a - \frac{345518571205236521}{4186963968} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( -2728 a - 3850\) , \( -87888 a - 149212\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-2728a-3850\right){x}-87888a-149212$ |
| 726.1-a2 |
726.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 11^{7} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$1.564729512$ |
1.355095508 |
\( \frac{352828254929609}{55102633344} a - \frac{34247999280551}{3061257408} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 32 a - 115\) , \( -444 a + 17\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(32a-115\right){x}-444a+17$ |
| 726.1-a3 |
726.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{18} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$1.564729512$ |
1.355095508 |
\( -\frac{21350014601248001}{139723056} a + \frac{111064365419420999}{419169168} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( 312 a - 2235\) , \( -23220 a + 14265\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(312a-2235\right){x}-23220a+14265$ |
| 726.1-a4 |
726.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{21} \cdot 3^{6} \cdot 11^{7} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.173858834$ |
1.355095508 |
\( \frac{770328618940342509379496825}{97960237056} a + \frac{1334248306529217546921740093}{97960237056} \) |
\( \bigl[1\) , \( -a\) , \( 0\) , \( -38568 a - 70410\) , \( -5632848 a - 9738972\bigr] \) |
${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-38568a-70410\right){x}-5632848a-9738972$ |
| 726.1-b1 |
726.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 11^{3} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$10.63928664$ |
3.071297503 |
\( -\frac{569746151}{104544} a - \frac{160602589}{17424} \) |
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -170 a + 292\) , \( -4270 a + 7394\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-170a+292\right){x}-4270a+7394$ |
| 726.1-b2 |
726.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3 \cdot 11^{15} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.2 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$0.425571465$ |
3.071297503 |
\( \frac{2851730538441889}{155624547606} a - \frac{822754774582361}{25937424601} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 3340899 a - 5786606\) , \( 4432110178 a - 7676640013\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(3340899a-5786606\right){x}+4432110178a-7676640013$ |
| 726.1-b3 |
726.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3^{2} \cdot 11^{15} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.2 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$0.425571465$ |
3.071297503 |
\( -\frac{185166511211605424473}{155624547606} a + \frac{320721340135469303693}{155624547606} \) |
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 276575 a - 479053\) , \( 104522175 a - 181037729\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(276575a-479053\right){x}+104522175a-181037729$ |
| 726.1-b4 |
726.1-b |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 11^{3} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{2} \cdot 5^{2} \) |
$1$ |
$10.63928664$ |
3.071297503 |
\( \frac{25530804278077}{235224} a + \frac{44222583639767}{235224} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -66 a - 147\) , \( 441 a + 826\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-66a-147\right){x}+441a+826$ |
| 726.1-c1 |
726.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3 \cdot 11^{15} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$2.385898323$ |
0.688749519 |
\( -\frac{2851730538441889}{155624547606} a - \frac{822754774582361}{25937424601} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -591854 a + 1025121\) , \( -3172535279 a + 5494992291\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-591854a+1025121\right){x}-3172535279a+5494992291$ |
| 726.1-c2 |
726.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 11^{3} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$2.385898323$ |
0.688749519 |
\( \frac{569746151}{104544} a - \frac{160602589}{17424} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( 899 a - 1555\) , \( 20029 a - 34691\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(899a-1555\right){x}+20029a-34691$ |
| 726.1-c3 |
726.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 11^{3} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$2.385898323$ |
0.688749519 |
\( -\frac{25530804278077}{235224} a + \frac{44222583639767}{235224} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 65 a - 148\) , \( 441 a - 828\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(65a-148\right){x}+441a-828$ |
| 726.1-c4 |
726.1-c |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3^{2} \cdot 11^{15} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$2.385898323$ |
0.688749519 |
\( \frac{185166511211605424473}{155624547606} a + \frac{320721340135469303693}{155624547606} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( 94314 a - 163380\) , \( -19961991 a + 34575207\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(94314a-163380\right){x}-19961991a+34575207$ |
| 726.1-d1 |
726.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 11^{8} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.074314809$ |
$1.214828373$ |
3.014018081 |
\( -\frac{192100033}{2371842} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -12\) , \( -81\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-12{x}-81$ |
| 726.1-d2 |
726.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.268578702$ |
$19.43725397$ |
3.014018081 |
\( \frac{912673}{528} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -2\) , \( -1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2{x}-1$ |
| 726.1-d3 |
726.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.537157404$ |
$4.859313493$ |
3.014018081 |
\( \frac{1180932193}{4356} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -22\) , \( -49\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-22{x}-49$ |
| 726.1-d4 |
726.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1.074314809$ |
$1.214828373$ |
3.014018081 |
\( \frac{4824238966273}{66} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -352\) , \( -2689\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-352{x}-2689$ |
| 726.1-e1 |
726.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$7.649075424$ |
2.208097877 |
\( \frac{1100407019}{43923} a - \frac{2661199121}{58564} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -14 a - 22\) , \( -44 a - 76\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-14a-22\right){x}-44a-76$ |
| 726.1-e2 |
726.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3 \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 1 \) |
$1$ |
$7.649075424$ |
2.208097877 |
\( -\frac{1226642872891158378287}{66} a + \frac{708202592863246267889}{22} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -169 a - 567\) , \( -2395 a - 2643\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-169a-567\right){x}-2395a-2643$ |
| 726.1-e3 |
726.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$7.649075424$ |
2.208097877 |
\( -\frac{1680069099823}{726} a + \frac{1457672699881}{363} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -224 a - 402\) , \( -2428 a - 4194\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-224a-402\right){x}-2428a-4194$ |
| 726.1-e4 |
726.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$1.912268856$ |
2.208097877 |
\( \frac{4177482365238410263}{263538} a + \frac{7235611728119239301}{263538} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -3639 a - 6317\) , \( -156917 a - 271777\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-3639a-6317\right){x}-156917a-271777$ |
| 726.1-f1 |
726.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 11^{7} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 7 \) |
$1$ |
$0.982606012$ |
1.985577459 |
\( -\frac{352828254929609}{55102633344} a - \frac{34247999280551}{3061257408} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -32 a - 115\) , \( -444 a - 17\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-32a-115\right){x}-444a-17$ |
| 726.1-f2 |
726.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{42} \cdot 3^{3} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
$1$ |
$0.982606012$ |
1.985577459 |
\( \frac{1196935082730242225}{25121783808} a - \frac{345518571205236521}{4186963968} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 2728 a - 3850\) , \( -87888 a + 149212\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2728a-3850\right){x}-87888a+149212$ |
| 726.1-f3 |
726.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{21} \cdot 3^{6} \cdot 11^{7} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \) |
$1$ |
$0.982606012$ |
1.985577459 |
\( -\frac{770328618940342509379496825}{97960237056} a + \frac{1334248306529217546921740093}{97960237056} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 38568 a - 70410\) , \( -5632848 a + 9738972\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(38568a-70410\right){x}-5632848a+9738972$ |
| 726.1-f4 |
726.1-f |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{18} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \cdot 7 \) |
$1$ |
$0.982606012$ |
1.985577459 |
\( \frac{21350014601248001}{139723056} a + \frac{111064365419420999}{419169168} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -312 a - 2235\) , \( -23220 a - 14265\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-312a-2235\right){x}-23220a-14265$ |
| 726.1-g1 |
726.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$5.305515608$ |
1.531570432 |
\( -\frac{1100407019}{43923} a - \frac{2661199121}{58564} \) |
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 11 a - 21\) , \( -31 a + 53\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(11a-21\right){x}-31a+53$ |
| 726.1-g2 |
726.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$5.305515608$ |
1.531570432 |
\( -\frac{4177482365238410263}{263538} a + \frac{7235611728119239301}{263538} \) |
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 3636 a - 6316\) , \( -153279 a + 265459\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3636a-6316\right){x}-153279a+265459$ |
| 726.1-g3 |
726.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$5.305515608$ |
1.531570432 |
\( \frac{1680069099823}{726} a + \frac{1457672699881}{363} \) |
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 221 a - 401\) , \( -2205 a + 3791\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(221a-401\right){x}-2205a+3791$ |
| 726.1-g4 |
726.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3 \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$16$ |
\( 1 \) |
$1$ |
$1.326378902$ |
1.531570432 |
\( \frac{1226642872891158378287}{66} a + \frac{708202592863246267889}{22} \) |
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( 166 a - 566\) , \( -2227 a + 2075\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(166a-566\right){x}-2227a+2075$ |
| 726.1-h1 |
726.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{12} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{5} \) |
$0.737158785$ |
$0.635354791$ |
2.163250013 |
\( -\frac{7357983625}{127552392} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -41\) , \( -556\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-41{x}-556$ |
| 726.1-h2 |
726.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.245719595$ |
$5.718193122$ |
2.163250013 |
\( \frac{9938375}{176418} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 4\) , \( 20\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+4{x}+20$ |
| 726.1-h3 |
726.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.491439190$ |
$22.87277248$ |
2.163250013 |
\( \frac{18609625}{1188} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -6\) , \( 4\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-6{x}+4$ |
| 726.1-h4 |
726.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{6} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$1.474317571$ |
$2.541419165$ |
2.163250013 |
\( \frac{57736239625}{255552} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -81\) , \( -284\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-81{x}-284$ |
| 726.1-i1 |
726.1-i |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{20} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.2 |
$1$ |
\( 2^{5} \cdot 5^{2} \) |
$1$ |
$0.056797834$ |
3.279224518 |
\( -\frac{112427521449300721}{466873642818} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 563080 a - 975335\) , \( 304441020 a - 527307459\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(563080a-975335\right){x}+304441020a-527307459$ |
| 726.1-i2 |
726.1-i |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{5} \cdot 5^{2} \) |
$1$ |
$1.419945868$ |
3.279224518 |
\( \frac{168105213359}{228637728} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 115\) , \( 561\bigr] \) |
${y}^2+{x}{y}={x}^{3}+115{x}+561$ |
| 726.1-i3 |
726.1-i |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$5.679783475$ |
3.279224518 |
\( \frac{10091699281}{2737152} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -45\) , \( 81\bigr] \) |
${y}^2+{x}{y}={x}^{3}-45{x}+81$ |
| 726.1-i4 |
726.1-i |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{10} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.1.2 |
$1$ |
\( 2^{3} \cdot 5^{2} \) |
$1$ |
$0.227191339$ |
3.279224518 |
\( \frac{112763292123580561}{1932612} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 563640 a - 976305\) , \( 303809220 a - 526213149\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(563640a-976305\right){x}+303809220a-526213149$ |
| 726.1-j1 |
726.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$7.649075424$ |
2.208097877 |
\( -\frac{1100407019}{43923} a - \frac{2661199121}{58564} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 13 a - 22\) , \( 43 a - 76\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(13a-22\right){x}+43a-76$ |
| 726.1-j2 |
726.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$1.912268856$ |
2.208097877 |
\( -\frac{4177482365238410263}{263538} a + \frac{7235611728119239301}{263538} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 3638 a - 6317\) , \( 156916 a - 271777\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3638a-6317\right){x}+156916a-271777$ |
| 726.1-j3 |
726.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$7.649075424$ |
2.208097877 |
\( \frac{1680069099823}{726} a + \frac{1457672699881}{363} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 223 a - 402\) , \( 2427 a - 4194\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(223a-402\right){x}+2427a-4194$ |
| 726.1-j4 |
726.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2 \cdot 3 \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 1 \) |
$1$ |
$7.649075424$ |
2.208097877 |
\( \frac{1226642872891158378287}{66} a + \frac{708202592863246267889}{22} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 168 a - 567\) , \( 2394 a - 2643\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(168a-567\right){x}+2394a-2643$ |
| 726.1-k1 |
726.1-k |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{20} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.884125736$ |
1.020900463 |
\( -\frac{112427521449300721}{466873642818} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 563082 a - 975336\) , \( -303877939 a + 526332123\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(563082a-975336\right){x}-303877939a+526332123$ |
| 726.1-k2 |
726.1-k |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.884125736$ |
1.020900463 |
\( \frac{168105213359}{228637728} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 115\) , \( -561\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+115{x}-561$ |
| 726.1-k3 |
726.1-k |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 11^{2} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.4.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$3.536502944$ |
1.020900463 |
\( \frac{10091699281}{2737152} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -45\) , \( -81\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-45{x}-81$ |
| 726.1-k4 |
726.1-k |
$4$ |
$10$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{10} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 5$ |
2B, 5B.4.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$3.536502944$ |
1.020900463 |
\( \frac{112763292123580561}{1932612} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 563642 a - 976306\) , \( -303245579 a + 525236843\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(563642a-976306\right){x}-303245579a+525236843$ |
| 726.1-l1 |
726.1-l |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 11^{7} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$1.564729512$ |
1.355095508 |
\( -\frac{352828254929609}{55102633344} a - \frac{34247999280551}{3061257408} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( -32 a - 115\) , \( 444 a + 17\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-32a-115\right){x}+444a+17$ |
| 726.1-l2 |
726.1-l |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{42} \cdot 3^{3} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.173858834$ |
1.355095508 |
\( \frac{1196935082730242225}{25121783808} a - \frac{345518571205236521}{4186963968} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( 2728 a - 3850\) , \( 87888 a - 149212\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(2728a-3850\right){x}+87888a-149212$ |
| 726.1-l3 |
726.1-l |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{21} \cdot 3^{6} \cdot 11^{7} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.173858834$ |
1.355095508 |
\( -\frac{770328618940342509379496825}{97960237056} a + \frac{1334248306529217546921740093}{97960237056} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( 38568 a - 70410\) , \( 5632848 a - 9738972\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(38568a-70410\right){x}+5632848a-9738972$ |
| 726.1-l4 |
726.1-l |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{18} \cdot 11^{5} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$1$ |
$1.564729512$ |
1.355095508 |
\( \frac{21350014601248001}{139723056} a + \frac{111064365419420999}{419169168} \) |
\( \bigl[1\) , \( a\) , \( 0\) , \( -312 a - 2235\) , \( 23220 a + 14265\bigr] \) |
${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-312a-2235\right){x}+23220a+14265$ |
| 726.1-m1 |
726.1-m |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{12} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$0.183632440$ |
$2.444595345$ |
3.110118998 |
\( -\frac{7357983625}{127552392} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -42\) , \( 555\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-42{x}+555$ |
| 726.1-m2 |
726.1-m |
$4$ |
$6$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
726.1 |
\( 2 \cdot 3 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 11^{4} \) |
$1.60681$ |
$(a+1), (a), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{4} \) |
$0.550897322$ |
$2.444595345$ |
3.110118998 |
\( \frac{9938375}{176418} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 3\) , \( -21\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+3{x}-21$ |
*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.
