| 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-a4 |
75.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
75.1 |
\( 3 \cdot 5^{2} \) |
\( 3^{8} \cdot 5^{8} \) |
$0.45547$ |
$(-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$2.235701712$ |
0.322695746 |
\( \frac{111284641}{50625} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -10\) , \( -10\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$ |
| 75.1-a5 |
75.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
75.1 |
\( 3 \cdot 5^{2} \) |
\( 3^{4} \cdot 5^{4} \) |
$0.45547$ |
$(-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$4.471403425$ |
0.322695746 |
\( \frac{13997521}{225} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -5\) , \( 2\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$ |
| 147.2-a7 |
147.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{4} \cdot 7^{8} \) |
$0.53893$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.724153859$ |
0.497720347 |
\( \frac{13027640977}{21609} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -49\) , \( -136\bigr] \) |
${y}^2+{x}{y}={x}^{3}-49{x}-136$ |
| 192.1-a4 |
192.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
192.1 |
\( 2^{6} \cdot 3 \) |
\( 2^{8} \cdot 3^{2} \) |
$0.57614$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$7.270694035$ |
0.524717144 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( a - 1\) , \( 0\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(a-1\right){x}$ |
| 192.1-a5 |
192.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
192.1 |
\( 2^{6} \cdot 3 \) |
\( 2^{16} \cdot 3^{4} \) |
$0.57614$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.635347017$ |
0.524717144 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -4 a + 4\) , \( 4\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-4a+4\right){x}+4$ |
| 273.1-a2 |
273.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.1 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (-4a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$4.298319761$ |
0.620409017 |
\( -\frac{1729793605}{24843} a + \frac{120766453}{24843} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a - 5\) , \( 3\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-5\right){x}+3$ |
| 273.1-a3 |
273.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.1 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{4} \cdot 7^{4} \cdot 13^{4} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (-4a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.149159880$ |
0.620409017 |
\( -\frac{105199951225}{617174649} a + \frac{41110277024}{205724883} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 3 a - 5\) , \( 10 a + 4\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-5\right){x}+10a+4$ |
| 273.4-a2 |
273.4-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.4 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
$0.62913$ |
$(-2a+1), (3a-2), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$4.298319761$ |
0.620409017 |
\( \frac{1729793605}{24843} a - \frac{536342384}{8281} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -5\) , \( -a + 4\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-5{x}-a+4$ |
| 273.4-a3 |
273.4-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.4 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{4} \cdot 7^{4} \cdot 13^{4} \) |
$0.62913$ |
$(-2a+1), (3a-2), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.149159880$ |
0.620409017 |
\( \frac{105199951225}{617174649} a + \frac{18130879847}{617174649} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -5 a\) , \( -11 a + 15\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-5a{x}-11a+15$ |
| 399.2-a4 |
399.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
399.2 |
\( 3 \cdot 7 \cdot 19 \) |
\( 3^{6} \cdot 7^{4} \cdot 19^{2} \) |
$0.69174$ |
$(-2a+1), (-3a+1), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.485606903$ |
0.717532907 |
\( \frac{28971353771}{23402547} a + \frac{40851268981}{23402547} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( 7 a + 1\) , \( -3 a + 9\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(7a+1\right){x}-3a+9$ |
| 399.3-a4 |
399.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
399.3 |
\( 3 \cdot 7 \cdot 19 \) |
\( 3^{6} \cdot 7^{4} \cdot 19^{2} \) |
$0.69174$ |
$(-2a+1), (3a-2), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.485606903$ |
0.717532907 |
\( -\frac{28971353771}{23402547} a + \frac{23274207584}{7800849} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -8 a + 9\) , \( 2 a + 7\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-8a+9\right){x}+2a+7$ |
| 588.2-a5 |
588.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
588.2 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \) |
$0.76216$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.370183666$ |
0.791075908 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -84\) , \( 261\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-84{x}+261$ |
| 651.2-a3 |
651.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
651.2 |
\( 3 \cdot 7 \cdot 31 \) |
\( 3^{4} \cdot 7^{2} \cdot 31^{2} \) |
$0.78180$ |
$(-2a+1), (-3a+1), (6a-5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.607656794$ |
1.041440810 |
\( \frac{2496607087}{423801} a - \frac{2763193264}{423801} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -4 a + 5\) , \( 2 a + 1\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a+5\right){x}+2a+1$ |
| 651.3-a3 |
651.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
651.3 |
\( 3 \cdot 7 \cdot 31 \) |
\( 3^{4} \cdot 7^{2} \cdot 31^{2} \) |
$0.78180$ |
$(-2a+1), (3a-2), (-6a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.607656794$ |
1.041440810 |
\( -\frac{2496607087}{423801} a - \frac{88862059}{141267} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( 5 a + 1\) , \( 2 a + 4\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(5a+1\right){x}+2a+4$ |
| 741.1-a4 |
741.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
741.1 |
\( 3 \cdot 13 \cdot 19 \) |
\( 3^{2} \cdot 13^{4} \cdot 19^{2} \) |
$0.80752$ |
$(-2a+1), (-4a+1), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.989826239$ |
0.863088492 |
\( \frac{19084471931}{30931563} a - \frac{10664429627}{30931563} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 4 a - 1\) , \( -3 a - 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(4a-1\right){x}-3a-1$ |
| 741.4-a4 |
741.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
741.4 |
\( 3 \cdot 13 \cdot 19 \) |
\( 3^{2} \cdot 13^{4} \cdot 19^{2} \) |
$0.80752$ |
$(-2a+1), (4a-3), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.989826239$ |
0.863088492 |
\( -\frac{19084471931}{30931563} a + \frac{2806680768}{10310521} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -4 a + 3\) , \( 3 a - 4\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-4a+3\right){x}+3a-4$ |
| 768.1-a5 |
768.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
768.1 |
\( 2^{8} \cdot 3 \) |
\( 2^{16} \cdot 3^{4} \) |
$0.81478$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.635347017$ |
1.049434289 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -4 a + 4\) , \( -4\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-4a+4\right){x}-4$ |
| 768.1-a6 |
768.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
768.1 |
\( 2^{8} \cdot 3 \) |
\( 2^{20} \cdot 3^{8} \) |
$0.81478$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.817673508$ |
1.049434289 |
\( \frac{1556068}{81} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -24 a + 24\) , \( 36\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-24a+24\right){x}+36$ |
| 903.1-a4 |
903.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
903.1 |
\( 3 \cdot 7 \cdot 43 \) |
\( 3^{2} \cdot 7^{4} \cdot 43^{2} \) |
$0.84844$ |
$(-2a+1), (-3a+1), (-7a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.197441386$ |
0.923021822 |
\( -\frac{3789194225}{4439449} a + \frac{13309783616}{13318347} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -4 a + 4\) , \( -5 a + 5\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-4a+4\right){x}-5a+5$ |
| 903.4-a4 |
903.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
903.4 |
\( 3 \cdot 7 \cdot 43 \) |
\( 3^{2} \cdot 7^{4} \cdot 43^{2} \) |
$0.84844$ |
$(-2a+1), (3a-2), (7a-6)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.197441386$ |
0.923021822 |
\( \frac{3789194225}{4439449} a + \frac{1942200941}{13318347} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 4 a\) , \( 5 a\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+4a{x}+5a$ |
| 1083.2-b5 |
1083.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1083.2 |
\( 3 \cdot 19^{2} \) |
\( 3^{4} \cdot 19^{4} \) |
$0.88788$ |
$(-2a+1), (-5a+3), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.264688998$ |
0.942434535 |
\( \frac{30664297}{3249} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -7\) , \( 5\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-7{x}+5$ |
| 1344.1-a4 |
1344.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1344.1 |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{2} \) |
$0.93713$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.102687911$ |
0.895668850 |
\( \frac{746000}{147} a - \frac{488000}{147} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -7 a + 5\) , \( -3 a + 6\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a+5\right){x}-3a+6$ |
| 1344.1-b4 |
1344.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1344.1 |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{2} \) |
$0.93713$ |
$(-2a+1), (-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$4.254405060$ |
1.228140953 |
\( \frac{647168}{441} a - \frac{231424}{147} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -a - 2\) , \( -2 a\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-2\right){x}-2a$ |
| 1344.2-a4 |
1344.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1344.2 |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{2} \) |
$0.93713$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$3.102687911$ |
0.895668850 |
\( -\frac{746000}{147} a + \frac{86000}{49} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 7 a - 2\) , \( 3 a + 3\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(7a-2\right){x}+3a+3$ |
| 1344.2-b4 |
1344.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1344.2 |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{2} \) |
$0.93713$ |
$(-2a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$4.254405060$ |
1.228140953 |
\( -\frac{647168}{441} a - \frac{47104}{441} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( a - 3\) , \( 2 a - 2\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(a-3\right){x}+2a-2$ |
| 1443.2-a6 |
1443.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1443.2 |
\( 3 \cdot 13 \cdot 37 \) |
\( 3^{8} \cdot 13^{2} \cdot 37^{2} \) |
$0.95393$ |
$(-2a+1), (-4a+1), (-7a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.353043140$ |
1.358530090 |
\( \frac{19997359375}{18740241} a + \frac{304250000}{18740241} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -8 a + 3\) , \( a + 6\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-8a+3\right){x}+a+6$ |
| 1443.2-a7 |
1443.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1443.2 |
\( 3 \cdot 13 \cdot 37 \) |
\( 3^{4} \cdot 13^{4} \cdot 37^{4} \) |
$0.95393$ |
$(-2a+1), (-4a+1), (-7a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.176521570$ |
1.358530090 |
\( -\frac{1318725748099375}{481751210889} a + \frac{176753943148375}{53527912321} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( 37 a + 3\) , \( -62 a + 105\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(37a+3\right){x}-62a+105$ |
| 1443.3-a6 |
1443.3-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1443.3 |
\( 3 \cdot 13 \cdot 37 \) |
\( 3^{8} \cdot 13^{2} \cdot 37^{2} \) |
$0.95393$ |
$(-2a+1), (4a-3), (-7a+4)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.353043140$ |
1.358530090 |
\( -\frac{19997359375}{18740241} a + \frac{2255734375}{2082249} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 9 a - 5\) , \( 6 a + 3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-5\right){x}+6a+3$ |
| 1443.3-a7 |
1443.3-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1443.3 |
\( 3 \cdot 13 \cdot 37 \) |
\( 3^{4} \cdot 13^{4} \cdot 37^{4} \) |
$0.95393$ |
$(-2a+1), (4a-3), (-7a+4)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.176521570$ |
1.358530090 |
\( \frac{1318725748099375}{481751210889} a + \frac{272059740236000}{481751210889} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -36 a + 40\) , \( 24 a + 84\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-36a+40\right){x}+24a+84$ |
| 1533.2-a3 |
1533.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1533.2 |
\( 3 \cdot 7 \cdot 73 \) |
\( 3^{4} \cdot 7^{4} \cdot 73^{2} \) |
$0.96847$ |
$(-2a+1), (-3a+1), (9a-8)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.427126033$ |
1.401301869 |
\( \frac{42509139235}{38384787} a - \frac{28989387209}{115154361} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 4 a + 4\) , \( 6 a - 9\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a+4\right){x}+6a-9$ |
| 1533.3-a3 |
1533.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1533.3 |
\( 3 \cdot 7 \cdot 73 \) |
\( 3^{4} \cdot 7^{4} \cdot 73^{2} \) |
$0.96847$ |
$(-2a+1), (3a-2), (-9a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.427126033$ |
1.401301869 |
\( -\frac{42509139235}{38384787} a + \frac{98538030496}{115154361} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -3 a + 7\) , \( -4 a - 10\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3a+7\right){x}-4a-10$ |
| 1659.2-b3 |
1659.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1659.2 |
\( 3 \cdot 7 \cdot 79 \) |
\( 3^{12} \cdot 7^{2} \cdot 79^{2} \) |
$0.98778$ |
$(-2a+1), (-3a+1), (10a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.619404663$ |
1.402445577 |
\( \frac{41856152657}{222934761} a - \frac{1333684627}{8256843} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -3 a - 6\) , \( -37 a + 1\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-6\right){x}-37a+1$ |
| 1659.3-b3 |
1659.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1659.3 |
\( 3 \cdot 7 \cdot 79 \) |
\( 3^{12} \cdot 7^{2} \cdot 79^{2} \) |
$0.98778$ |
$(-2a+1), (3a-2), (10a-7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$1.619404663$ |
1.402445577 |
\( -\frac{41856152657}{222934761} a + \frac{5846667728}{222934761} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( 4 a - 10\) , \( 33 a - 26\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-10\right){x}+33a-26$ |
| 1911.3-a4 |
1911.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1911.3 |
\( 3 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{2} \) |
$1.02333$ |
$(-2a+1), (-3a+1), (3a-2), (-4a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.323241895$ |
$2.803735560$ |
1.046487543 |
\( -\frac{85625872}{405769} a - \frac{761270413}{1217307} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -3 a - 3\) , \( 3 a + 5\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-3a-3\right){x}+3a+5$ |
| 1911.4-a4 |
1911.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1911.4 |
\( 3 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{2} \) |
$1.02333$ |
$(-2a+1), (-3a+1), (3a-2), (4a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.323241895$ |
$2.803735560$ |
1.046487543 |
\( \frac{85625872}{405769} a - \frac{1018148029}{1217307} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( 2 a - 6\) , \( -4 a + 8\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-6\right){x}-4a+8$ |
| 2496.1-a2 |
2496.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2496.1 |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{16} \cdot 3^{4} \cdot 13^{2} \) |
$1.09398$ |
$(-2a+1), (-4a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.513543014$ |
1.451194736 |
\( -\frac{52528}{1521} a + \frac{5072}{507} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a + 1\) , \( -9 a + 6\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-2a+1\right){x}-9a+6$ |
| 2496.2-a2 |
2496.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2496.2 |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{16} \cdot 3^{4} \cdot 13^{2} \) |
$1.09398$ |
$(-2a+1), (4a-3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$2.513543014$ |
1.451194736 |
\( \frac{52528}{1521} a - \frac{37312}{1521} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 2 a - 1\) , \( 9 a - 3\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(2a-1\right){x}+9a-3$ |
| 2793.3-b1 |
2793.3-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2793.3 |
\( 3 \cdot 7^{2} \cdot 19 \) |
\( 3^{4} \cdot 7^{4} \cdot 19^{4} \) |
$1.12517$ |
$(-2a+1), (-3a+1), (3a-2), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.903226310$ |
1.098828222 |
\( -\frac{1685872625}{57471561} a + \frac{506846000}{57471561} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( a - 4\) , \( -23 a + 16\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a-4\right){x}-23a+16$ |
| 2793.4-b1 |
2793.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
2793.4 |
\( 3 \cdot 7^{2} \cdot 19 \) |
\( 3^{4} \cdot 7^{4} \cdot 19^{4} \) |
$1.12517$ |
$(-2a+1), (-3a+1), (3a-2), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.903226310$ |
1.098828222 |
\( \frac{1685872625}{57471561} a - \frac{56144125}{2736741} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( -2 a - 3\) , \( 22 a - 7\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-2a-3\right){x}+22a-7$ |
| 3468.1-b3 |
3468.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3468.1 |
\( 2^{2} \cdot 3 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 17^{4} \) |
$1.18773$ |
$(-2a+1), (2), (17)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.735016588$ |
1.697448101 |
\( \frac{163936758817}{30338064} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -114\) , \( -396\bigr] \) |
${y}^2+{x}{y}={x}^{3}-114{x}-396$ |
| 3549.2-b3 |
3549.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3549.2 |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 13^{8} \) |
$1.19461$ |
$(-2a+1), (-3a+1), (-4a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.543277184$ |
1.254644914 |
\( \frac{90253148665625}{5554571841} a - \frac{3041690531375}{142424919} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -294 a + 53\) , \( 1947 a - 1397\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-294a+53\right){x}+1947a-1397$ |
| 3549.2-b5 |
3549.2-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3549.2 |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{4} \) |
$1.19461$ |
$(-2a+1), (-3a+1), (-4a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.086554368$ |
1.254644914 |
\( -\frac{17816586148625}{8768262321} a + \frac{11462191334000}{8768262321} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -19 a - 27\) , \( -36 a - 78\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-19a-27\right){x}-36a-78$ |
| 3549.5-b3 |
3549.5-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3549.5 |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( 3^{8} \cdot 7^{4} \cdot 13^{8} \) |
$1.19461$ |
$(-2a+1), (3a-2), (-4a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.543277184$ |
1.254644914 |
\( -\frac{90253148665625}{5554571841} a - \frac{28372782058000}{5554571841} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 293 a - 240\) , \( -1948 a + 551\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(293a-240\right){x}-1948a+551$ |
| 3549.5-b5 |
3549.5-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3549.5 |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{4} \) |
$1.19461$ |
$(-2a+1), (3a-2), (-4a+1), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.086554368$ |
1.254644914 |
\( \frac{17816586148625}{8768262321} a - \frac{162933200375}{224827239} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 18 a - 45\) , \( 35 a - 113\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(18a-45\right){x}+35a-113$ |
| 3675.2-b3 |
3675.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3675.2 |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{8} \) |
$1.20507$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.524913009$ |
1.760817873 |
\( -\frac{235781279}{540225} a + \frac{795180959}{540225} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 6 a + 15\) , \( 27 a + 9\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a+15\right){x}+27a+9$ |
| 3675.2-c3 |
3675.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3675.2 |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{8} \) |
$1.20507$ |
$(-2a+1), (-3a+1), (3a-2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.524913009$ |
1.760817873 |
\( \frac{235781279}{540225} a + \frac{253696}{245} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -5 a + 20\) , \( -23 a + 16\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a+20\right){x}-23a+16$ |
| 3819.1-a2 |
3819.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3819.1 |
\( 3 \cdot 19 \cdot 67 \) |
\( 3^{2} \cdot 19^{4} \cdot 67^{2} \) |
$1.21671$ |
$(-2a+1), (-5a+3), (9a-7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.168698954$ |
0.626049462 |
\( \frac{66661364000}{1755032907} a + \frac{1676519875}{1755032907} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( 3 a - 3\) , \( 12 a - 12\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-3\right){x}+12a-12$ |
| 3819.4-a2 |
3819.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
3819.4 |
\( 3 \cdot 19 \cdot 67 \) |
\( 3^{2} \cdot 19^{4} \cdot 67^{2} \) |
$1.21671$ |
$(-2a+1), (-5a+2), (9a-2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.168698954$ |
0.626049462 |
\( -\frac{66661364000}{1755032907} a + \frac{22779294625}{585010969} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -4 a + 1\) , \( -13 a + 1\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a+1\right){x}-13a+1$ |
| 4053.2-a3 |
4053.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4053.2 |
\( 3 \cdot 7 \cdot 193 \) |
\( 3^{4} \cdot 7^{8} \cdot 193^{2} \) |
$1.23493$ |
$(-2a+1), (-3a+1), (-16a+9)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.044024657$ |
1.205535833 |
\( -\frac{970558145316128}{1932597652041} a - \frac{4115866004690719}{1932597652041} \) |
\( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -15 a - 36\) , \( 90 a + 108\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-15a-36\right){x}+90a+108$ |
| 4053.3-a3 |
4053.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
4053.3 |
\( 3 \cdot 7 \cdot 193 \) |
\( 3^{4} \cdot 7^{8} \cdot 193^{2} \) |
$1.23493$ |
$(-2a+1), (3a-2), (16a-7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.044024657$ |
1.205535833 |
\( \frac{970558145316128}{1932597652041} a - \frac{1695474716668949}{644199217347} \) |
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( 16 a - 51\) , \( -76 a + 148\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-51\right){x}-76a+148$ |
*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.
