| 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 |
| 75.1-a2 |
75.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
75.1 |
\( 3 \cdot 5^{2} \) |
\( 3^{2} \cdot 5^{2} \) |
$0.45547$ |
$(-2a+1), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$8.942806850$ |
0.322695746 |
\( -\frac{1}{15} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$ |
| 75.1-a3 |
75.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
75.1 |
\( 3 \cdot 5^{2} \) |
\( 3^{4} \cdot 5^{16} \) |
$0.45547$ |
$(-2a+1), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.117850856$ |
0.322695746 |
\( \frac{4733169839}{3515625} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 35\) , \( -28\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$ |
| 147.2-a4 |
147.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{4} \cdot 7^{2} \) |
$0.53893$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$6.896615437$ |
0.497720347 |
\( \frac{103823}{63} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}$ |
| 147.2-a6 |
147.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{16} \cdot 7^{2} \) |
$0.53893$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.497720347 |
\( \frac{6570725617}{45927} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -39\) , \( 90\bigr] \) |
${y}^2+{x}{y}={x}^{3}-39{x}+90$ |
| 273.1-a5 |
273.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.1 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{8} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (-4a+1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.074579940$ |
0.620409017 |
\( \frac{33455531501700925}{119912415987} a - \frac{16216142636786389}{119912415987} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 123 a - 80\) , \( 475 a - 11\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(123a-80\right){x}+475a-11$ |
| 273.4-a5 |
273.4-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.4 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{8} \) |
$0.62913$ |
$(-2a+1), (3a-2), (4a-3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.074579940$ |
0.620409017 |
\( -\frac{33455531501700925}{119912415987} a + \frac{5746462954971512}{39970805329} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -125 a + 45\) , \( -476 a + 465\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-125a+45\right){x}-476a+465$ |
| 588.2-a1 |
588.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
588.2 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{2} \) |
$0.76216$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.740367332$ |
0.791075908 |
\( -\frac{7189057}{16128} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -4\) , \( 5\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-4{x}+5$ |
| 768.1-a3 |
768.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
768.1 |
\( 2^{8} \cdot 3 \) |
\( 2^{22} \cdot 3^{16} \) |
$0.81478$ |
$(-2a+1), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.908836754$ |
1.049434289 |
\( \frac{207646}{6561} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 16 a - 16\) , \( 180\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(16a-16\right){x}+180$ |
| 1344.1-b2 |
1344.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1344.1 |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{16} \cdot 3^{8} \cdot 7 \) |
$0.93713$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$2.127202530$ |
1.228140953 |
\( -\frac{2145056}{567} a + \frac{395120}{567} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -11 a + 13\) , \( 3 a - 18\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-11a+13\right){x}+3a-18$ |
| 1344.2-b2 |
1344.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1344.2 |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{16} \cdot 3^{8} \cdot 7 \) |
$0.93713$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$2.127202530$ |
1.228140953 |
\( \frac{2145056}{567} a - \frac{583312}{189} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 11 a + 2\) , \( -3 a - 15\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(11a+2\right){x}-3a-15$ |
| 1533.2-a5 |
1533.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1533.2 |
\( 3 \cdot 7 \cdot 73 \) |
\( 3^{8} \cdot 7^{8} \cdot 73 \) |
$0.96847$ |
$(-2a+1), (-3a+1), (9a-8)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.213563016$ |
1.401301869 |
\( -\frac{39237205025653}{11362422771} a + \frac{116367310463512}{34087268313} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 9 a - 41\) , \( 42 a - 114\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-41\right){x}+42a-114$ |
| 1533.3-a5 |
1533.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1533.3 |
\( 3 \cdot 7 \cdot 73 \) |
\( 3^{8} \cdot 7^{8} \cdot 73 \) |
$0.96847$ |
$(-2a+1), (3a-2), (-9a+1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.213563016$ |
1.401301869 |
\( \frac{39237205025653}{11362422771} a - \frac{1344304613447}{34087268313} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -8 a - 33\) , \( -35 a - 39\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-8a-33\right){x}-35a-39$ |
| 3468.1-b4 |
3468.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3468.1 |
\( 2^{2} \cdot 3 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 17^{2} \) |
$1.18773$ |
$(-2a+1), (2), (17)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.470033177$ |
1.697448101 |
\( \frac{4354703137}{352512} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -34\) , \( 68\bigr] \) |
${y}^2+{x}{y}={x}^{3}-34{x}+68$ |
| 3675.2-b2 |
3675.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3675.2 |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{10} \) |
$1.20507$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.762456504$ |
1.760817873 |
\( \frac{303198851501317}{2334744405} a - \frac{4670421018040}{51883209} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 131 a + 90\) , \( -563 a + 1174\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(131a+90\right){x}-563a+1174$ |
| 3675.2-c2 |
3675.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3675.2 |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{10} \) |
$1.20507$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.762456504$ |
1.760817873 |
\( -\frac{303198851501317}{2334744405} a + \frac{93029905689517}{2334744405} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -130 a + 220\) , \( 692 a + 391\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-130a+220\right){x}+692a+391$ |
| 4053.2-a1 |
4053.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4053.2 |
\( 3 \cdot 7 \cdot 193 \) |
\( 3^{8} \cdot 7^{4} \cdot 193 \) |
$1.23493$ |
$(-2a+1), (-3a+1), (-16a+9)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$2.088049314$ |
1.205535833 |
\( -\frac{17886317632}{37534833} a - \frac{57527423141}{12511611} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -15 a + 9\) , \( -9 a + 18\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-15a+9\right){x}-9a+18$ |
| 4053.3-a1 |
4053.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4053.3 |
\( 3 \cdot 7 \cdot 193 \) |
\( 3^{8} \cdot 7^{4} \cdot 193 \) |
$1.23493$ |
$(-2a+1), (3a-2), (16a-7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$2.088049314$ |
1.205535833 |
\( \frac{17886317632}{37534833} a - \frac{190468587055}{37534833} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 16 a - 6\) , \( 23 a + 4\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-6\right){x}+23a+4$ |
| 8148.1-b5 |
8148.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8148.1 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 97 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{2} \cdot 97 \) |
$1.47049$ |
$(-2a+1), (-3a+1), (-11a+3), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.805615178$ |
2.084944818 |
\( -\frac{34271232839}{10950912} a + \frac{2545579343}{1216768} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -17 a + 3\) , \( 37 a - 21\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-17a+3\right){x}+37a-21$ |
| 8148.4-b5 |
8148.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
8148.4 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 97 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{2} \cdot 97 \) |
$1.47049$ |
$(-2a+1), (3a-2), (-11a+8), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.805615178$ |
2.084944818 |
\( \frac{34271232839}{10950912} a - \frac{88757959}{85554} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 18 a - 14\) , \( -21 a + 3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(18a-14\right){x}-21a+3$ |
| 9408.2-b3 |
9408.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9408.2 |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{9} \) |
$1.52431$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.007296960$ |
1.163126343 |
\( -\frac{41536905952}{17294403} a + \frac{28824949424}{5764801} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 66 a - 29\) , \( 91 a + 91\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(66a-29\right){x}+91a+91$ |
| 9408.2-d3 |
9408.2-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
9408.2 |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{9} \) |
$1.52431$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.007296960$ |
1.163126343 |
\( \frac{41536905952}{17294403} a + \frac{44937942320}{17294403} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -66 a + 37\) , \( -91 a + 182\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-66a+37\right){x}-91a+182$ |
| 12675.2-b2 |
12675.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
12675.2 |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 13^{16} \) |
$1.64224$ |
$(-2a+1), (-4a+1), (4a-3), (5)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{9} \) |
$0.693106901$ |
$0.185317083$ |
2.373039851 |
\( \frac{24487529386319}{183539412225} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 605 a - 605\) , \( -19750\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(605a-605\right){x}-19750$ |
| 14700.2-g3 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{32} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.442077482$ |
2.041868430 |
\( \frac{1023887723039}{928972800} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 210\) , \( 900\bigr] \) |
${y}^2+{x}{y}={x}^{3}+210{x}+900$ |
| 14700.2-g6 |
14700.2-g |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
14700.2 |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{32} \cdot 5^{4} \cdot 7^{2} \) |
$1.70423$ |
$(-2a+1), (-3a+1), (3a-2), (2), (5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{8} \) |
$1$ |
$0.110519370$ |
2.041868430 |
\( \frac{378499465220294881}{120530818800} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -15070\) , \( 710612\bigr] \) |
${y}^2+{x}{y}={x}^{3}-15070{x}+710612$ |
| 17787.2-a2 |
17787.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
17787.2 |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{2} \cdot 7^{16} \cdot 11^{2} \) |
$1.78741$ |
$(-2a+1), (-3a+1), (3a-2), (11)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.575547912$ |
1.329170969 |
\( \frac{221115865823}{190238433} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 126\) , \( 432\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+126{x}+432$ |
| 18228.3-b5 |
18228.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
18228.3 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 31 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{5} \cdot 31 \) |
$1.79839$ |
$(-2a+1), (-3a+1), (3a-2), (-6a+1), (2)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.849376258$ |
$1.361348690$ |
2.670354132 |
\( \frac{215830047901}{57163008} a + \frac{587228712227}{57163008} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( 5 a + 37\) , \( 90 a - 71\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(5a+37\right){x}+90a-71$ |
| 18228.4-a5 |
18228.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
18228.4 |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 31 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{5} \cdot 31 \) |
$1.79839$ |
$(-2a+1), (-3a+1), (3a-2), (6a-5), (2)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.849376258$ |
$1.361348690$ |
2.670354132 |
\( -\frac{215830047901}{57163008} a + \frac{4182597709}{297724} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( -37 a - 6\) , \( -91 a + 20\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-37a-6\right){x}-91a+20$ |
| 19929.1-a4 |
19929.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
19929.1 |
\( 3 \cdot 7 \cdot 13 \cdot 73 \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{2} \cdot 73 \) |
$1.83895$ |
$(-2a+1), (-3a+1), (-4a+1), (-9a+1)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.974526248$ |
$1.192124886$ |
2.682962852 |
\( -\frac{428001759357664}{640083149433} a + \frac{297879781508665}{640083149433} \) |
\( \bigl[a\) , \( a + 1\) , \( 1\) , \( -7 a - 19\) , \( 12 a - 85\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-19\right){x}+12a-85$ |
| 19929.8-a3 |
19929.8-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
19929.8 |
\( 3 \cdot 7 \cdot 13 \cdot 73 \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{2} \cdot 73 \) |
$1.83895$ |
$(-2a+1), (3a-2), (4a-3), (9a-8)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.974526248$ |
$1.192124886$ |
2.682962852 |
\( \frac{428001759357664}{640083149433} a - \frac{43373992616333}{213361049811} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 19 a + 7\) , \( -39 a - 54\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(19a+7\right){x}-39a-54$ |
| 24339.4-b7 |
24339.4-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
24339.4 |
\( 3 \cdot 7 \cdot 19 \cdot 61 \) |
\( 3^{4} \cdot 7^{2} \cdot 19^{2} \cdot 61^{8} \) |
$1.93319$ |
$(-2a+1), (-3a+1), (-5a+2), (-9a+4)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$4.997457753$ |
$0.163622887$ |
3.776787440 |
\( -\frac{39009845193206097899275015}{30519995936480132481} a + \frac{57975554486788162628928376}{30519995936480132481} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 7258 a - 3057\) , \( 131383 a + 89598\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(7258a-3057\right){x}+131383a+89598$ |
| 24339.5-b8 |
24339.5-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
24339.5 |
\( 3 \cdot 7 \cdot 19 \cdot 61 \) |
\( 3^{4} \cdot 7^{2} \cdot 19^{2} \cdot 61^{8} \) |
$1.93319$ |
$(-2a+1), (3a-2), (-5a+3), (-9a+5)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$4.997457753$ |
$0.163622887$ |
3.776787440 |
\( \frac{39009845193206097899275015}{30519995936480132481} a + \frac{2107301032620229414405929}{3391110659608903609} \) |
\( \bigl[a\) , \( a + 1\) , \( 1\) , \( 3057 a - 7258\) , \( -135585 a + 217925\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3057a-7258\right){x}-135585a+217925$ |
| 33852.3-a2 |
33852.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
33852.3 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 13 \cdot 31 \) |
\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 13^{2} \cdot 31 \) |
$2.09940$ |
$(-2a+1), (-3a+1), (4a-3), (-6a+1), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$1.052331663$ |
2.430255877 |
\( -\frac{2288979254207}{760451328} a + \frac{523141190207}{760451328} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -4 a - 44\) , \( 16 a - 144\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-4a-44\right){x}+16a-144$ |
| 33852.6-a4 |
33852.6-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
33852.6 |
\( 2^{2} \cdot 3 \cdot 7 \cdot 13 \cdot 31 \) |
\( 2^{16} \cdot 3^{8} \cdot 7 \cdot 13^{2} \cdot 31 \) |
$2.09940$ |
$(-2a+1), (3a-2), (-4a+1), (6a-5), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$1.052331663$ |
2.430255877 |
\( \frac{2288979254207}{760451328} a - \frac{4598536625}{1980342} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -48 a + 44\) , \( -16 a - 128\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-48a+44\right){x}-16a-128$ |
| 35427.3-a4 |
35427.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
35427.3 |
\( 3 \cdot 7^{2} \cdot 241 \) |
\( 3^{4} \cdot 7^{12} \cdot 241 \) |
$2.12340$ |
$(-2a+1), (-3a+1), (3a-2), (-16a+1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.746129278$ |
0.861555879 |
\( -\frac{154956795407200}{12503853369} a - \frac{142704196056743}{12503853369} \) |
\( \bigl[a\) , \( -a\) , \( a + 1\) , \( 93 a - 167\) , \( -626 a + 784\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(93a-167\right){x}-626a+784$ |
| 35427.4-a3 |
35427.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
35427.4 |
\( 3 \cdot 7^{2} \cdot 241 \) |
\( 3^{4} \cdot 7^{12} \cdot 241 \) |
$2.12340$ |
$(-2a+1), (-3a+1), (3a-2), (16a-15)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.746129278$ |
0.861555879 |
\( \frac{154956795407200}{12503853369} a - \frac{99220330487981}{4167951123} \) |
\( \bigl[a + 1\) , \( -1\) , \( a\) , \( -95 a - 73\) , \( 625 a + 159\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-95a-73\right){x}+625a+159$ |
| 37632.2-k4 |
37632.2-k |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
37632.2 |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{9} \) |
$2.15570$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.433723891$ |
2.003284843 |
\( -\frac{153229073258}{466948881} a + \frac{407610540284}{466948881} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -176 a + 208\) , \( 1152 a - 1164\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-176a+208\right){x}+1152a-1164$ |
| 37632.2-o4 |
37632.2-o |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
37632.2 |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 7^{9} \) |
$2.15570$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.433723891$ |
2.003284843 |
\( \frac{153229073258}{466948881} a + \frac{84793822342}{155649627} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 32 a - 208\) , \( -1152 a - 12\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(32a-208\right){x}-1152a-12$ |
| 37632.2-r4 |
37632.2-r |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
37632.2 |
\( 2^{8} \cdot 3 \cdot 7^{2} \) |
\( 2^{26} \cdot 3^{8} \cdot 7^{16} \) |
$2.15570$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{11} \) |
$1$ |
$0.085636479$ |
3.164303633 |
\( \frac{84448510979617}{933897762} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -14624\) , \( 669300\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-14624{x}+669300$ |
| 38703.2-b3 |
38703.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
38703.2 |
\( 3 \cdot 7 \cdot 19 \cdot 97 \) |
\( 3^{8} \cdot 7^{2} \cdot 19^{8} \cdot 97 \) |
$2.17088$ |
$(-2a+1), (-3a+1), (-5a+3), (-11a+8)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.414710101$ |
0.957731955 |
\( \frac{78435974122418790352}{6538552885843713} a - \frac{38410669125051094225}{6538552885843713} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -456 a + 122\) , \( -3260 a + 3069\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-456a+122\right){x}-3260a+3069$ |
| 38703.7-b6 |
38703.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
38703.7 |
\( 3 \cdot 7 \cdot 19 \cdot 97 \) |
\( 3^{8} \cdot 7^{2} \cdot 19^{8} \cdot 97 \) |
$2.17088$ |
$(-2a+1), (3a-2), (-5a+2), (-11a+3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.414710101$ |
0.957731955 |
\( -\frac{78435974122418790352}{6538552885843713} a + \frac{4447256110818632903}{726505876204857} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 456 a - 334\) , \( 3260 a - 191\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(456a-334\right){x}+3260a-191$ |
| 41664.1-m2 |
41664.1-m |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
41664.1 |
\( 2^{6} \cdot 3 \cdot 7 \cdot 31 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{8} \cdot 31 \) |
$2.21126$ |
$(-2a+1), (-3a+1), (-6a+1), (2)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1.478041501$ |
$0.622714782$ |
4.251137615 |
\( \frac{104429233924000}{1608379479} a - \frac{30634960423696}{536126493} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 222 a - 283\) , \( -1733 a + 1458\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(222a-283\right){x}-1733a+1458$ |
| 41664.4-m6 |
41664.4-m |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
41664.4 |
\( 2^{6} \cdot 3 \cdot 7 \cdot 31 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{8} \cdot 31 \) |
$2.21126$ |
$(-2a+1), (3a-2), (6a-5), (2)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1.478041501$ |
$0.622714782$ |
4.251137615 |
\( -\frac{104429233924000}{1608379479} a + \frac{12524352652912}{1608379479} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 283 a - 222\) , \( 1733 a - 275\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(283a-222\right){x}+1733a-275$ |
| 49539.3-b5 |
49539.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
49539.3 |
\( 3 \cdot 7^{2} \cdot 337 \) |
\( 3^{8} \cdot 7^{10} \cdot 337 \) |
$2.30906$ |
$(-2a+1), (-3a+1), (3a-2), (21a-8)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.667882484$ |
1.542408528 |
\( -\frac{6917226911546912}{157361772897} a + \frac{952114153200715}{52453924299} \) |
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( -11 a + 211\) , \( -1350 a + 455\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-11a+211\right){x}-1350a+455$ |
| 49539.4-b1 |
49539.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
49539.4 |
\( 3 \cdot 7^{2} \cdot 337 \) |
\( 3^{8} \cdot 7^{10} \cdot 337 \) |
$2.30906$ |
$(-2a+1), (-3a+1), (3a-2), (-21a+13)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.667882484$ |
1.542408528 |
\( \frac{6917226911546912}{157361772897} a - \frac{4060884451944767}{157361772897} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -210 a + 11\) , \( 1150 a - 684\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-210a+11\right){x}+1150a-684$ |
| 59241.5-b6 |
59241.5-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
59241.5 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 31 \) |
\( 3^{16} \cdot 7^{5} \cdot 13^{2} \cdot 31 \) |
$2.41465$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-6a+1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.603449024$ |
1.393605825 |
\( -\frac{1026658727822912}{82529762679} a + \frac{1843072198361831}{82529762679} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 80 a - 250\) , \( 651 a - 1536\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(80a-250\right){x}+651a-1536$ |
| 59241.5-b7 |
59241.5-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
59241.5 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 31 \) |
\( 3^{4} \cdot 7^{17} \cdot 13^{2} \cdot 31 \) |
$2.41465$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-6a+1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{7} \) |
$1$ |
$0.150862256$ |
1.393605825 |
\( \frac{13301422653329547683938448}{1566965909287256751} a + \frac{841524111176264720547361}{1566965909287256751} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 800 a - 9610\) , \( -46869 a + 357330\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(800a-9610\right){x}-46869a+357330$ |
| 59241.5-d4 |
59241.5-d |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
59241.5 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 31 \) |
\( 3^{8} \cdot 7^{2} \cdot 13^{2} \cdot 31^{8} \) |
$2.41465$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (-6a+1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{7} \) |
$1$ |
$0.309021533$ |
2.854618651 |
\( \frac{50915790293485129625}{81726577880708943} a - \frac{15346299522650846969}{9080730875634327} \) |
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 475 a - 54\) , \( -1881 a - 4255\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(475a-54\right){x}-1881a-4255$ |
| 59241.6-b3 |
59241.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
59241.6 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 31 \) |
\( 3^{16} \cdot 7^{3} \cdot 13^{8} \cdot 31 \) |
$2.41465$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1), (6a-5)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1.927795359$ |
$0.268739167$ |
4.785763717 |
\( -\frac{1490499347978909329}{8129702066670639} a + \frac{73416942354553160}{2709900688890213} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -337 a + 64\) , \( 7347 a - 1780\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-337a+64\right){x}+7347a-1780$ |
| 59241.7-b2 |
59241.7-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
59241.7 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 31 \) |
\( 3^{16} \cdot 7^{3} \cdot 13^{8} \cdot 31 \) |
$2.41465$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (-6a+1)$ |
$1$ |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1.927795359$ |
$0.268739167$ |
4.785763717 |
\( \frac{1490499347978909329}{8129702066670639} a - \frac{1270248520915249849}{8129702066670639} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 338 a - 274\) , \( -7686 a + 5841\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(338a-274\right){x}-7686a+5841$ |
| 59241.8-b6 |
59241.8-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
59241.8 |
\( 3 \cdot 7^{2} \cdot 13 \cdot 31 \) |
\( 3^{16} \cdot 7^{5} \cdot 13^{2} \cdot 31 \) |
$2.41465$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3), (6a-5)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.603449024$ |
1.393605825 |
\( \frac{1026658727822912}{82529762679} a + \frac{272137823512973}{27509920893} \) |
\( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 250 a - 79\) , \( -822 a - 635\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(250a-79\right){x}-822a-635$ |
*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.
