| 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 |
| 405.1-a1 |
405.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{28} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.739230913$ |
0.935061361 |
\( \frac{6306051584}{23914845} a - \frac{20797582016}{23914845} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( 751 a - 2376\) , \( 28681 a - 90698\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(751a-2376\right){x}+28681a-90698$ |
| 405.1-a2 |
405.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.478461827$ |
0.935061361 |
\( -\frac{46921816576}{54675} a + \frac{158281676992}{54675} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 13374 a - 42303\) , \( 1497166 a - 4734468\bigr] \) |
${y}^2={x}^{3}+\left(13374a-42303\right){x}+1497166a-4734468$ |
| 405.1-b1 |
405.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{22} \cdot 5^{8} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.962456484$ |
1.873621991 |
\( -\frac{112939365046253}{820125} a + \frac{1785565231508711}{4100625} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 496 a - 2378\) , \( -14165 a + 51823\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(496a-2378\right){x}-14165a+51823$ |
| 405.1-b2 |
405.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{29} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.481228242$ |
1.873621991 |
\( -\frac{156724808859274}{215233605} a + \frac{99121493681189}{43046721} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 91 a - 263\) , \( 829 a - 2132\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(91a-263\right){x}+829a-2132$ |
| 405.1-b3 |
405.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{17} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$5.924912968$ |
1.873621991 |
\( \frac{103864}{405} a + \frac{142849}{81} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( a + 7\) , \( a - 8\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+7\right){x}+a-8$ |
| 405.1-b4 |
405.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{22} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$5.924912968$ |
1.873621991 |
\( \frac{39662476}{6561} a + \frac{725085397}{32805} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( a - 38\) , \( 10 a - 17\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a-38\right){x}+10a-17$ |
| 405.1-b5 |
405.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{20} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$5.924912968$ |
1.873621991 |
\( \frac{34960265998}{135} a + \frac{1658372302819}{2025} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -89 a - 533\) , \( 847 a + 4222\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-89a-533\right){x}+847a+4222$ |
| 405.1-b6 |
405.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{16} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.962456484$ |
1.873621991 |
\( \frac{3817421180441395481}{9} a + \frac{20119576197272381239}{15} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -2114 a - 6608\) , \( 86707 a + 279217\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2114a-6608\right){x}+86707a+279217$ |
| 405.1-c1 |
405.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{12} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.163484670$ |
$10.68417942$ |
2.209419591 |
\( \frac{46656}{25} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -5 a - 20\) , \( -2\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-5a-20\right){x}-2$ |
| 405.1-c2 |
405.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.326969341$ |
$10.68417942$ |
2.209419591 |
\( \frac{592704}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -42 a - 147\) , \( -286 a - 884\bigr] \) |
${y}^2={x}^{3}+\left(-42a-147\right){x}-286a-884$ |
| 405.1-d1 |
405.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$10.68417942$ |
3.378634190 |
\( \frac{46656}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 18 a - 63\) , \( -22 a + 68\bigr] \) |
${y}^2={x}^{3}+\left(18a-63\right){x}-22a+68$ |
| 405.1-d2 |
405.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{12} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$10.68417942$ |
3.378634190 |
\( \frac{592704}{5} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( 10 a - 36\) , \( 41 a - 129\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(10a-36\right){x}+41a-129$ |
| 405.1-e1 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{44} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.324549088$ |
$0.849329743$ |
2.845996610 |
\( -\frac{147281603041}{215233605} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -3965\) , \( 178157\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-3965{x}+178157$ |
| 405.1-e2 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.324549088$ |
$3.397318975$ |
2.845996610 |
\( -\frac{1}{15} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -5\) , \( -43\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-5{x}-43$ |
| 405.1-e3 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{16} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.662274544$ |
$0.849329743$ |
2.845996610 |
\( \frac{4733169839}{3515625} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 1255\) , \( 9785\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+1255{x}+9785$ |
| 405.1-e4 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{8} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$0.331137272$ |
$3.397318975$ |
2.845996610 |
\( \frac{111284641}{50625} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -365\) , \( 1037\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-365{x}+1037$ |
| 405.1-e5 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.662274544$ |
$3.397318975$ |
2.845996610 |
\( \frac{13997521}{225} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -185\) , \( -1015\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-185{x}-1015$ |
| 405.1-e6 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.662274544$ |
$3.397318975$ |
2.845996610 |
\( \frac{272223782641}{164025} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -4865\) , \( 127937\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-4865{x}+127937$ |
| 405.1-e7 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1.324549088$ |
$0.849329743$ |
2.845996610 |
\( \frac{56667352321}{15} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -2885\) , \( -60955\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-2885{x}-60955$ |
| 405.1-e8 |
405.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.324549088$ |
$3.397318975$ |
2.845996610 |
\( \frac{1114544804970241}{405} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -77765\) , \( 8307317\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-77765{x}+8307317$ |
| 405.1-f1 |
405.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{18} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$8.581765733$ |
2.713792606 |
\( \frac{336226}{135} a - \frac{1062059}{135} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 48 a + 145\) , \( 4480 a + 14165\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(48a+145\right){x}+4480a+14165$ |
| 405.1-f2 |
405.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{21} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$8.581765733$ |
2.713792606 |
\( -\frac{156415766633}{3645} a + \frac{98945821613}{729} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -1932 a - 6155\) , \( 78964 a + 249785\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-1932a-6155\right){x}+78964a+249785$ |
| 405.1-g1 |
405.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{21} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \) |
$1$ |
$4.568341772$ |
1.444636513 |
\( \frac{1026304}{3645} a + \frac{949568}{729} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -560 a + 1765\) , \( 22608 a - 71497\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-560a+1765\right){x}+22608a-71497$ |
| 405.1-g2 |
405.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{10} \cdot 5^{6} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$13.70502531$ |
1.444636513 |
\( -\frac{66006784}{375} a + \frac{226222784}{375} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 151 a - 485\) , \( -1733 a + 5476\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(151a-485\right){x}-1733a+5476$ |
| 405.1-g3 |
405.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{18} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \) |
$1$ |
$4.568341772$ |
1.444636513 |
\( \frac{1217792}{135} a + \frac{4608704}{135} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 4638 a - 14667\) , \( 254366 a - 804376\bigr] \) |
${y}^2={x}^{3}+\left(4638a-14667\right){x}+254366a-804376$ |
| 405.1-g4 |
405.1-g |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{3} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$13.70502531$ |
1.444636513 |
\( \frac{74932775168}{225} a + \frac{47391625792}{45} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 114 a - 387\) , \( -2622 a + 8344\bigr] \) |
${y}^2={x}^{3}+\left(114a-387\right){x}-2622a+8344$ |
| 405.1-h1 |
405.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{11} \cdot 5^{3} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$0.346269451$ |
$13.70502531$ |
3.001400957 |
\( -\frac{74932775168}{225} a + \frac{47391625792}{45} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -29 a - 101\) , \( 313 a + 992\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-29a-101\right){x}+313a+992$ |
| 405.1-h2 |
405.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 2^{12} \cdot 3^{21} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1.038808354$ |
$4.568341772$ |
3.001400957 |
\( -\frac{1026304}{3645} a + \frac{949568}{729} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 2238 a + 7077\) , \( -183106 a - 579032\bigr] \) |
${y}^2={x}^{3}+\left(2238a+7077\right){x}-183106a-579032$ |
| 405.1-h3 |
405.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{18} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$0.519404177$ |
$4.568341772$ |
3.001400957 |
\( -\frac{1217792}{135} a + \frac{4608704}{135} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -1160 a - 3671\) , \( -32376 a - 102383\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-1160a-3671\right){x}-32376a-102383$ |
| 405.1-h4 |
405.1-h |
$4$ |
$6$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{6} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$0.173134725$ |
$13.70502531$ |
3.001400957 |
\( \frac{66006784}{375} a + \frac{226222784}{375} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -606 a - 1923\) , \( 14466 a + 45752\bigr] \) |
${y}^2={x}^{3}+\left(-606a-1923\right){x}+14466a+45752$ |
| 405.1-i1 |
405.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{18} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.194021615$ |
$8.581765733$ |
2.106137702 |
\( -\frac{336226}{135} a - \frac{1062059}{135} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -12 a + 37\) , \( -554 a + 1752\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-12a+37\right){x}-554a+1752$ |
| 405.1-i2 |
405.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{21} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.388043231$ |
$8.581765733$ |
2.106137702 |
\( \frac{156415766633}{3645} a + \frac{98945821613}{729} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( 483 a - 1538\) , \( -10112 a + 31992\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(483a-1538\right){x}-10112a+31992$ |
| 405.1-j1 |
405.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{28} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.739230913$ |
0.935061361 |
\( -\frac{6306051584}{23914845} a - \frac{20797582016}{23914845} \) |
\( \bigl[a\) , \( -1\) , \( 1\) , \( -752 a - 2376\) , \( -28681 a - 90698\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-752a-2376\right){x}-28681a-90698$ |
| 405.1-j2 |
405.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.478461827$ |
0.935061361 |
\( \frac{46921816576}{54675} a + \frac{158281676992}{54675} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -13374 a - 42303\) , \( -1497166 a - 4734468\bigr] \) |
${y}^2={x}^{3}+\left(-13374a-42303\right){x}-1497166a-4734468$ |
| 405.1-k1 |
405.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 2^{12} \cdot 3^{16} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.668290366$ |
$2.962456484$ |
2.504247056 |
\( -\frac{3817421180441395481}{9} a + \frac{20119576197272381239}{15} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 73098 a + 231115\) , \( 350129090 a + 1107205465\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(73098a+231115\right){x}+350129090a+1107205465$ |
| 405.1-k2 |
405.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 2^{12} \cdot 3^{17} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.336580733$ |
$5.924912968$ |
2.504247056 |
\( -\frac{103864}{405} a + \frac{142849}{81} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 6318 a + 19975\) , \( -435418 a - 1376915\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(6318a+19975\right){x}-435418a-1376915$ |
| 405.1-k3 |
405.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{22} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.668290366$ |
$5.924912968$ |
2.504247056 |
\( -\frac{39662476}{6561} a + \frac{725085397}{32805} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -34722 a - 109805\) , \( -4082722 a - 12910703\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-34722a-109805\right){x}-4082722a-12910703$ |
| 405.1-k4 |
405.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{20} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.334145183$ |
$5.924912968$ |
2.504247056 |
\( -\frac{34960265998}{135} a + \frac{1658372302819}{2025} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -226602 a - 716585\) , \( 101276030 a + 320262925\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-226602a-716585\right){x}+101276030a+320262925$ |
| 405.1-k5 |
405.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 2^{12} \cdot 3^{29} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.336580733$ |
$1.481228242$ |
2.504247056 |
\( \frac{156724808859274}{215233605} a + \frac{99121493681189}{43046721} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -499482 a - 1579505\) , \( -341883970 a - 1081132043\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-499482a-1579505\right){x}-341883970a-1081132043$ |
| 405.1-k6 |
405.1-k |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 2^{12} \cdot 3^{22} \cdot 5^{8} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.167072591$ |
$2.962456484$ |
2.504247056 |
\( \frac{112939365046253}{820125} a + \frac{1785565231508711}{4100625} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -3596382 a - 11372765\) , \( 6599988218 a + 20870995297\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-3596382a-11372765\right){x}+6599988218a+20870995297$ |
| 405.1-l1 |
405.1-l |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{16} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.962456484$ |
1.873621991 |
\( -\frac{3817421180441395481}{9} a + \frac{20119576197272381239}{15} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 18274 a + 57780\) , \( 43756999 a + 138371791\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(18274a+57780\right){x}+43756999a+138371791$ |
| 405.1-l2 |
405.1-l |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{17} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$5.924912968$ |
1.873621991 |
\( -\frac{103864}{405} a + \frac{142849}{81} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 1579 a + 4995\) , \( -55217 a - 174614\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1579a+4995\right){x}-55217a-174614$ |
| 405.1-l3 |
405.1-l |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{22} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$5.924912968$ |
1.873621991 |
\( -\frac{39662476}{6561} a + \frac{725085397}{32805} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -8681 a - 27450\) , \( -506000 a - 1600115\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-8681a-27450\right){x}-506000a-1600115$ |
| 405.1-l4 |
405.1-l |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{20} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$5.924912968$ |
1.873621991 |
\( -\frac{34960265998}{135} a + \frac{1658372302819}{2025} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -56651 a - 179145\) , \( 12687829 a + 40122436\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-56651a-179145\right){x}+12687829a+40122436$ |
| 405.1-l5 |
405.1-l |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{29} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$1.481228242$ |
1.873621991 |
\( \frac{156724808859274}{215233605} a + \frac{99121493681189}{43046721} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -124871 a - 394875\) , \( -42673061 a - 134944070\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-124871a-394875\right){x}-42673061a-134944070$ |
| 405.1-l6 |
405.1-l |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( - 3^{22} \cdot 5^{8} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.962456484$ |
1.873621991 |
\( \frac{112939365046253}{820125} a + \frac{1785565231508711}{4100625} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -899096 a - 2843190\) , \( 825448075 a + 2610296005\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-899096a-2843190\right){x}+825448075a+2610296005$ |
| 405.1-m1 |
405.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{28} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$4.269748289$ |
$0.739230913$ |
7.984953301 |
\( -\frac{6306051584}{23914845} a - \frac{20797582016}{23914845} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3006 a - 9507\) , \( -226442 a - 716076\bigr] \) |
${y}^2={x}^{3}+\left(-3006a-9507\right){x}-226442a-716076$ |
| 405.1-m2 |
405.1-m |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 3^{20} \cdot 5^{4} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$2.134874144$ |
$1.478461827$ |
7.984953301 |
\( \frac{46921816576}{54675} a + \frac{158281676992}{54675} \) |
\( \bigl[a\) , \( -1\) , \( a + 1\) , \( -3344 a - 10580\) , \( -188818 a - 597099\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-3344a-10580\right){x}-188818a-597099$ |
| 405.1-n1 |
405.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{18} \cdot 5^{2} \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$8.581765733$ |
2.713792606 |
\( -\frac{336226}{135} a - \frac{1062059}{135} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -48 a + 145\) , \( -4480 a + 14165\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-48a+145\right){x}-4480a+14165$ |
| 405.1-n2 |
405.1-n |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
405.1 |
\( 3^{4} \cdot 5 \) |
\( 2^{12} \cdot 3^{21} \cdot 5 \) |
$2.53532$ |
$(3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$8.581765733$ |
2.713792606 |
\( \frac{156415766633}{3645} a + \frac{98945821613}{729} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 1932 a - 6155\) , \( -78964 a + 249785\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1932a-6155\right){x}-78964a+249785$ |
*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.
