| 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-a6 |
75.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
75.1 |
\( 3 \cdot 5^{2} \) |
\( 3^{16} \cdot 5^{4} \) |
$0.45547$ |
$(-2a+1), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$1.117850856$ |
0.322695746 |
\( \frac{272223782641}{164025} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -135\) , \( -660\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$ |
| 147.2-a3 |
147.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
147.2 |
\( 3 \cdot 7^{2} \) |
\( 3^{2} \cdot 7^{16} \) |
$0.53893$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$0.862076929$ |
0.497720347 |
\( -\frac{4354703137}{17294403} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -34\) , \( -217\bigr] \) |
${y}^2+{x}{y}={x}^{3}-34{x}-217$ |
| 192.1-a6 |
192.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
192.1 |
\( 2^{6} \cdot 3 \) |
\( 2^{20} \cdot 3^{8} \) |
$0.57614$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$1.817673508$ |
0.524717144 |
\( \frac{1556068}{81} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -24 a + 24\) , \( -36\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-24a+24\right){x}-36$ |
| 241.1-a2 |
241.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
241.1 |
\( 241 \) |
\( 241^{2} \) |
$0.60982$ |
$(-16a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$4.409598054$ |
0.636470655 |
\( \frac{3568323375}{58081} a - \frac{3761802000}{58081} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -5 a + 5\) , \( -a - 2\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-5a+5\right){x}-a-2$ |
| 241.2-a2 |
241.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
241.2 |
\( 241 \) |
\( 241^{2} \) |
$0.60982$ |
$(16a-15)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$4.409598054$ |
0.636470655 |
\( -\frac{3568323375}{58081} a - \frac{193478625}{58081} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 4 a\) , \( -3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+4a{x}-3$ |
| 256.1-CMb1 |
256.1-CMb |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
256.1 |
\( 2^{8} \) |
\( 2^{8} \) |
$0.61910$ |
$(2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2$ |
2Cs |
$1$ |
\( 1 \) |
$1$ |
$8.847515954$ |
0.638514464 |
\( 0 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}$ |
| 256.1-CMa1 |
256.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
256.1 |
\( 2^{8} \) |
\( 2^{8} \) |
$0.61910$ |
$(2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2$ |
2Cs |
$1$ |
\( 1 \) |
$1$ |
$8.847515954$ |
0.638514464 |
\( 0 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}$ |
| 273.1-a7 |
273.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.1 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{8} \cdot 7^{8} \cdot 13^{2} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (-4a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.074579940$ |
0.620409017 |
\( \frac{409995792036265}{78914360889} a + \frac{465671890827119}{78914360889} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -37 a + 70\) , \( 125 a + 63\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-37a+70\right){x}+125a+63$ |
| 273.4-a7 |
273.4-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.4 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{8} \cdot 7^{8} \cdot 13^{2} \) |
$0.62913$ |
$(-2a+1), (3a-2), (4a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.074579940$ |
0.620409017 |
\( -\frac{409995792036265}{78914360889} a + \frac{291889227621128}{26304786963} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 35 a + 35\) , \( -126 a + 189\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(35a+35\right){x}-126a+189$ |
| 289.1-a3 |
289.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
289.1 |
\( 17^{2} \) |
\( 17^{4} \) |
$0.63815$ |
$(17)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$4.247877398$ |
0.613128289 |
\( \frac{20346417}{289} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -6\) , \( -4\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$ |
| 343.2-a5 |
343.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
343.2 |
\( 7^{3} \) |
\( 7^{14} \) |
$0.66607$ |
$(-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$1.281209773$ |
0.739706807 |
\( -\frac{854150427}{117649} a + \frac{1556711379}{117649} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 51 a - 34\) , \( -79 a - 41\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(51a-34\right){x}-79a-41$ |
| 343.2-a6 |
343.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
343.2 |
\( 7^{3} \) |
\( 7^{14} \) |
$0.66607$ |
$(-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$1.281209773$ |
0.739706807 |
\( \frac{854150427}{117649} a + \frac{702560952}{117649} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -29 a - 22\) , \( 80 a + 19\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-29a-22\right){x}+80a+19$ |
| 343.3-a5 |
343.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
343.3 |
\( 7^{3} \) |
\( 7^{14} \) |
$0.66607$ |
$(-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$1.281209773$ |
0.739706807 |
\( -\frac{854150427}{117649} a + \frac{1556711379}{117649} \) |
\( \bigl[a\) , \( a\) , \( a + 1\) , \( 21 a + 29\) , \( -81 a + 99\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(21a+29\right){x}-81a+99$ |
| 343.3-a6 |
343.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
343.3 |
\( 7^{3} \) |
\( 7^{14} \) |
$0.66607$ |
$(-3a+1), (3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2Cs, 3B[2] |
$1$ |
\( 2^{3} \) |
$1$ |
$1.281209773$ |
0.739706807 |
\( \frac{854150427}{117649} a + \frac{702560952}{117649} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a\) , \( 33 a - 49\) , \( 95 a - 86\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(33a-49\right){x}+95a-86$ |
| 363.1-a2 |
363.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
363.1 |
\( 3 \cdot 11^{2} \) |
\( 3^{12} \cdot 11^{4} \) |
$0.67558$ |
$(-2a+1), (11)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$2.051171954$ |
0.592122339 |
\( \frac{169112377}{88209} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -11\) , \( 0\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-11{x}$ |
| 399.2-a3 |
399.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
399.2 |
\( 3 \cdot 7 \cdot 19 \) |
\( 3^{12} \cdot 7^{2} \cdot 19^{4} \) |
$0.69174$ |
$(-2a+1), (-3a+1), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.242803451$ |
0.717532907 |
\( -\frac{2872067964853}{4655196441} a + \frac{2071833757192}{1551732147} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( -18 a - 14\) , \( 3 a + 42\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-18a-14\right){x}+3a+42$ |
| 399.3-a3 |
399.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
399.3 |
\( 3 \cdot 7 \cdot 19 \) |
\( 3^{12} \cdot 7^{2} \cdot 19^{4} \) |
$0.69174$ |
$(-2a+1), (3a-2), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.242803451$ |
0.717532907 |
\( \frac{2872067964853}{4655196441} a + \frac{3343433306723}{4655196441} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( 17 a - 31\) , \( -4 a + 46\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(17a-31\right){x}-4a+46$ |
| 475.1-a4 |
475.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
475.1 |
\( 5^{2} \cdot 19 \) |
\( 5^{4} \cdot 19^{4} \) |
$0.72256$ |
$(-5a+3), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$2.899861102$ |
0.837117794 |
\( -\frac{10985870511}{3258025} a + \frac{998993331}{651605} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( 7 a - 3\) , \( 3 a + 3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(7a-3\right){x}+3a+3$ |
| 475.2-a4 |
475.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
475.2 |
\( 5^{2} \cdot 19 \) |
\( 5^{4} \cdot 19^{4} \) |
$0.72256$ |
$(-5a+2), (5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$2.899861102$ |
0.837117794 |
\( \frac{10985870511}{3258025} a - \frac{5990903856}{3258025} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( -8 a + 5\) , \( -4 a + 7\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-8a+5\right){x}-4a+7$ |
| 507.2-a2 |
507.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
507.2 |
\( 3 \cdot 13^{2} \) |
\( 3^{4} \cdot 13^{4} \) |
$0.73443$ |
$(-2a+1), (-4a+1), (4a-3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.141291953$ |
$3.780590085$ |
0.616802873 |
\( \frac{10218313}{1521} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -4\) , \( -5\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-4{x}-5$ |
| 579.1-b2 |
579.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
579.1 |
\( 3 \cdot 193 \) |
\( 3^{8} \cdot 193^{2} \) |
$0.75922$ |
$(-2a+1), (16a-7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$2.778070704$ |
0.801959934 |
\( -\frac{735537775}{3017169} a + \frac{9061031}{335241} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 2 a + 1\) , \( 5 a - 5\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(2a+1\right){x}+5a-5$ |
| 579.2-b2 |
579.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
579.2 |
\( 3 \cdot 193 \) |
\( 3^{8} \cdot 193^{2} \) |
$0.75922$ |
$(-2a+1), (-16a+9)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$2.778070704$ |
0.801959934 |
\( \frac{735537775}{3017169} a - \frac{653988496}{3017169} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -3 a + 3\) , \( -6 a\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-3a+3\right){x}-6a$ |
| 588.2-a3 |
588.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
588.2 |
\( 2^{2} \cdot 3 \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 7^{8} \) |
$0.76216$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$0.685091833$ |
0.791075908 |
\( \frac{124475734657}{63011844} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -104\) , \( 101\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-104{x}+101$ |
| 603.1-a3 |
603.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
603.1 |
\( 3^{2} \cdot 67 \) |
\( 3^{16} \cdot 67^{2} \) |
$0.76697$ |
$(-2a+1), (9a-7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.583233046$ |
0.914080025 |
\( \frac{95736641}{1090827} a - \frac{448967984}{1090827} \) |
\( \bigl[1\) , \( a\) , \( a + 1\) , \( 7 a - 14\) , \( -30 a + 36\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(7a-14\right){x}-30a+36$ |
| 603.2-a3 |
603.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
603.2 |
\( 3^{2} \cdot 67 \) |
\( 3^{16} \cdot 67^{2} \) |
$0.76697$ |
$(-2a+1), (9a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.583233046$ |
0.914080025 |
\( -\frac{95736641}{1090827} a - \frac{39247927}{121203} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( -8 a - 6\) , \( 29 a + 7\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-8a-6\right){x}+29a+7$ |
| 651.2-a4 |
651.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
651.2 |
\( 3 \cdot 7 \cdot 31 \) |
\( 3^{2} \cdot 7^{4} \cdot 31^{4} \) |
$0.78180$ |
$(-2a+1), (-3a+1), (6a-5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.803828397$ |
1.041440810 |
\( -\frac{28200776898281}{6652121763} a + \frac{735934929283}{2217373921} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -19 a + 5\) , \( 44 a - 32\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-19a+5\right){x}+44a-32$ |
| 651.3-a4 |
651.3-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
651.3 |
\( 3 \cdot 7 \cdot 31 \) |
\( 3^{2} \cdot 7^{4} \cdot 31^{4} \) |
$0.78180$ |
$(-2a+1), (3a-2), (-6a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.803828397$ |
1.041440810 |
\( \frac{28200776898281}{6652121763} a - \frac{25992972110432}{6652121763} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( 20 a - 14\) , \( -25 a - 2\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(20a-14\right){x}-25a-2$ |
| 679.1-a3 |
679.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
679.1 |
\( 7 \cdot 97 \) |
\( 7^{4} \cdot 97^{2} \) |
$0.79007$ |
$(-3a+1), (-11a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$3.350641322$ |
0.967246834 |
\( \frac{12479325993}{22591009} a + \frac{23254692759}{22591009} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( 4 a\) , \( -3 a\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+4a{x}-3a$ |
| 679.4-a3 |
679.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
679.4 |
\( 7 \cdot 97 \) |
\( 7^{4} \cdot 97^{2} \) |
$0.79007$ |
$(3a-2), (-11a+8)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$3.350641322$ |
0.967246834 |
\( -\frac{12479325993}{22591009} a + \frac{35734018752}{22591009} \) |
\( \bigl[1\) , \( -1\) , \( 0\) , \( -4 a + 4\) , \( 3 a - 3\bigr] \) |
${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-4a+4\right){x}+3a-3$ |
| 741.1-a2 |
741.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
741.1 |
\( 3 \cdot 13 \cdot 19 \) |
\( 3^{4} \cdot 13^{2} \cdot 19^{4} \) |
$0.80752$ |
$(-2a+1), (-4a+1), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.494913119$ |
0.863088492 |
\( -\frac{192420700500217}{198218241} a + \frac{9759734375592}{22024249} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 79 a - 36\) , \( -131 a - 99\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(79a-36\right){x}-131a-99$ |
| 741.4-a2 |
741.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
741.4 |
\( 3 \cdot 13 \cdot 19 \) |
\( 3^{4} \cdot 13^{2} \cdot 19^{4} \) |
$0.80752$ |
$(-2a+1), (4a-3), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.494913119$ |
0.863088492 |
\( \frac{192420700500217}{198218241} a - \frac{104583091119889}{198218241} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -79 a + 43\) , \( 131 a - 230\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-79a+43\right){x}+131a-230$ |
| 768.1-a4 |
768.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
768.1 |
\( 2^{8} \cdot 3 \) |
\( 2^{8} \cdot 3^{2} \) |
$0.81478$ |
$(-2a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$7.270694035$ |
1.049434289 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( a - 1\) , \( 0\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(a-1\right){x}$ |
| 784.1-CMa1 |
784.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
784.1 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{6} \) |
$0.81899$ |
$(-3a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2, 7$ |
2Cs, 7Cs.2.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$3.344046705$ |
0.965343132 |
\( 0 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a\) , \( -2 a + 4\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+a{x}-2a+4$ |
| 784.3-CMa1 |
784.3-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
784.3 |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{8} \cdot 7^{6} \) |
$0.81899$ |
$(3a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{yes}$ |
$-3$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$2, 7$ |
2Cs, 7Cs.2.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$3.344046705$ |
0.965343132 |
\( 0 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a\) , \( 2 a + 2\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+a{x}+2a+2$ |
| 832.1-b3 |
832.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
832.1 |
\( 2^{6} \cdot 13 \) |
\( 2^{16} \cdot 13^{2} \) |
$0.83125$ |
$(-4a+1), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$3.400712016$ |
0.981700999 |
\( \frac{511920}{169} a - \frac{565056}{169} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -4\) , \( -4 a - 4\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-4{x}-4a-4$ |
| 832.2-b3 |
832.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
832.2 |
\( 2^{6} \cdot 13 \) |
\( 2^{16} \cdot 13^{2} \) |
$0.83125$ |
$(4a-3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$3.400712016$ |
0.981700999 |
\( -\frac{511920}{169} a - \frac{53136}{169} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 5\) , \( 3 a - 3\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-5\right){x}+3a-3$ |
| 903.1-a2 |
903.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
903.1 |
\( 3 \cdot 7 \cdot 43 \) |
\( 3^{4} \cdot 7^{2} \cdot 43^{4} \) |
$0.84844$ |
$(-2a+1), (-3a+1), (-7a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.598720693$ |
0.923021822 |
\( \frac{13036220396335}{502563747} a - \frac{88733697063269}{1507691241} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -19 a + 44\) , \( -90 a + 3\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-19a+44\right){x}-90a+3$ |
| 903.4-a2 |
903.4-a |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
903.4 |
\( 3 \cdot 7 \cdot 43 \) |
\( 3^{4} \cdot 7^{2} \cdot 43^{4} \) |
$0.84844$ |
$(-2a+1), (3a-2), (7a-6)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.598720693$ |
0.923021822 |
\( -\frac{13036220396335}{502563747} a - \frac{49625035874264}{1507691241} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( 19 a + 25\) , \( 90 a - 87\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(19a+25\right){x}+90a-87$ |
| 939.1-a2 |
939.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
939.1 |
\( 3 \cdot 313 \) |
\( 3^{4} \cdot 313^{2} \) |
$0.85677$ |
$(-2a+1), (19a-16)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$3.359498869$ |
0.969803788 |
\( \frac{7601397583}{881721} a - \frac{5739940432}{881721} \) |
\( \bigl[1\) , \( a - 1\) , \( a\) , \( -7 a + 5\) , \( 2 a - 5\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a+5\right){x}+2a-5$ |
| 939.2-a2 |
939.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
939.2 |
\( 3 \cdot 313 \) |
\( 3^{4} \cdot 313^{2} \) |
$0.85677$ |
$(-2a+1), (19a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$3.359498869$ |
0.969803788 |
\( -\frac{7601397583}{881721} a + \frac{620485717}{293907} \) |
\( \bigl[1\) , \( -a\) , \( a + 1\) , \( 6 a - 2\) , \( -3 a - 3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(6a-2\right){x}-3a-3$ |
| 949.2-a2 |
949.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
949.2 |
\( 13 \cdot 73 \) |
\( 13^{4} \cdot 73^{2} \) |
$0.85904$ |
$(-4a+1), (9a-8)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.263049469$ |
$2.885341703$ |
0.876403394 |
\( -\frac{56772248112}{152201569} a + \frac{28766674449}{152201569} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -4\) , \( -5 a + 4\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-4{x}-5a+4$ |
| 949.3-a2 |
949.3-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
949.3 |
\( 13 \cdot 73 \) |
\( 13^{4} \cdot 73^{2} \) |
$0.85904$ |
$(4a-3), (-9a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.263049469$ |
$2.885341703$ |
0.876403394 |
\( \frac{56772248112}{152201569} a - \frac{28005573663}{152201569} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -a - 3\) , \( 4 a\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-a-3\right){x}+4a$ |
| 1024.1-a1 |
1024.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1024.1 |
\( 2^{10} \) |
\( 2^{12} \) |
$0.87554$ |
$(2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$6.875185818$ |
0.992347595 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -1\) , \( 0\bigr] \) |
${y}^2={x}^{3}-{x}$ |
| 1083.2-b3 |
1083.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1083.2 |
\( 3 \cdot 19^{2} \) |
\( 3^{2} \cdot 19^{8} \) |
$0.88788$ |
$(-2a+1), (-5a+3), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.632344499$ |
0.942434535 |
\( \frac{67419143}{390963} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 8\) , \( 29\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+8{x}+29$ |
| 1197.1-a3 |
1197.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1197.1 |
\( 3^{2} \cdot 7 \cdot 19 \) |
\( 3^{8} \cdot 7^{4} \cdot 19^{2} \) |
$0.91038$ |
$(-2a+1), (-3a+1), (-5a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.102272580$ |
$2.047154074$ |
0.967028120 |
\( \frac{6239737264}{2600283} a + \frac{960498093}{866761} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 12\) , \( 11 a - 8\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+12{x}+11a-8$ |
| 1197.1-b1 |
1197.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1197.1 |
\( 3^{2} \cdot 7 \cdot 19 \) |
\( 3^{16} \cdot 7^{4} \cdot 19^{2} \) |
$0.91038$ |
$(-2a+1), (-3a+1), (-5a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.019132468$ |
1.176792810 |
\( -\frac{7361708575}{210622923} a + \frac{298410238768}{210622923} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( 24 a + 25\) , \( -26 a - 25\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(24a+25\right){x}-26a-25$ |
| 1197.4-a3 |
1197.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1197.4 |
\( 3^{2} \cdot 7 \cdot 19 \) |
\( 3^{8} \cdot 7^{4} \cdot 19^{2} \) |
$0.91038$ |
$(-2a+1), (3a-2), (-5a+2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.102272580$ |
$2.047154074$ |
0.967028120 |
\( -\frac{6239737264}{2600283} a + \frac{9121231543}{2600283} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -a + 13\) , \( -12 a + 4\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-a+13\right){x}-12a+4$ |
| 1197.4-b1 |
1197.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1197.4 |
\( 3^{2} \cdot 7 \cdot 19 \) |
\( 3^{16} \cdot 7^{4} \cdot 19^{2} \) |
$0.91038$ |
$(-2a+1), (3a-2), (-5a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.019132468$ |
1.176792810 |
\( \frac{7361708575}{210622923} a + \frac{32338725577}{23402547} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( -23 a + 49\) , \( 51 a - 27\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-23a+49\right){x}+51a-27$ |
| 1251.1-b4 |
1251.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1251.1 |
\( 3^{2} \cdot 139 \) |
\( 3^{12} \cdot 139^{2} \) |
$0.92048$ |
$(-2a+1), (13a-10)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.976429636$ |
1.141092182 |
\( -\frac{963782911}{521667} a + \frac{1174287472}{521667} \) |
\( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 12 a - 12\) , \( -10 a - 2\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(12a-12\right){x}-10a-2$ |
| 1251.2-b4 |
1251.2-b |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1251.2 |
\( 3^{2} \cdot 139 \) |
\( 3^{12} \cdot 139^{2} \) |
$0.92048$ |
$(-2a+1), (13a-3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$1.976429636$ |
1.141092182 |
\( \frac{963782911}{521667} a + \frac{70168187}{173889} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -13 a + 1\) , \( 9 a - 11\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-13a+1\right){x}+9a-11$ |
*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.
