| 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 |
| 64.7-a1 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{20} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$57.28306679$ |
1.611212134 |
\( \frac{427}{4} a^{2} + \frac{383}{2} a - \frac{47}{2} \) |
\( \bigl[a^{2} - 3\) , \( 1\) , \( 0\) , \( -1090739352869 a^{2} + 577346424073 a + 4634704800810\) , \( 3861852626891805689 a^{2} - 2044142625427945364 a - 16409554549208060949\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}={x}^{3}+{x}^{2}+\left(-1090739352869a^{2}+577346424073a+4634704800810\right){x}+3861852626891805689a^{2}-2044142625427945364a-16409554549208060949$ |
| 64.7-a2 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{22} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$57.28306679$ |
1.611212134 |
\( \frac{32251567931279}{16} a^{2} + \frac{21655756210331}{8} a - \frac{13765401110581}{8} \) |
\( \bigl[a^{2} - 3\) , \( -a^{2} - a + 4\) , \( a^{2} - 3\) , \( 1698582370190 a^{2} - 899087811257 a - 7217515206526\) , \( -1762034893335112832 a^{2} + 932674283807826223 a + 7487133894869004409\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(-a^{2}-a+4\right){x}^{2}+\left(1698582370190a^{2}-899087811257a-7217515206526\right){x}-1762034893335112832a^{2}+932674283807826223a+7487133894869004409$ |
| 64.7-a3 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{26} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$114.5661335$ |
1.611212134 |
\( \frac{130050481}{256} a^{2} + \frac{87514925}{128} a - \frac{54929731}{128} \) |
\( \bigl[a^{2} - 3\) , \( -a^{2} - a + 4\) , \( a^{2} - 3\) , \( 111924466010 a^{2} - 59243475582 a - 475582785731\) , \( -24375873611518938 a^{2} + 12902554057702025 a + 103576512715027461\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(-a^{2}-a+4\right){x}^{2}+\left(111924466010a^{2}-59243475582a-475582785731\right){x}-24375873611518938a^{2}+12902554057702025a+103576512715027461$ |
| 64.7-a4 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{22} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$114.5661335$ |
1.611212134 |
\( \frac{200481}{16} a^{2} - \frac{325027}{8} a + \frac{233973}{8} \) |
\( \bigl[a + 1\) , \( a^{2} - a - 2\) , \( a + 1\) , \( 2665494177 a^{2} - 1410890263 a - 11326059360\) , \( 101937460779857 a^{2} - 53957188127012 a - 433146596953681\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{2}-a-2\right){x}^{2}+\left(2665494177a^{2}-1410890263a-11326059360\right){x}+101937460779857a^{2}-53957188127012a-433146596953681$ |
| 64.7-a5 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{34} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$28.64153339$ |
1.611212134 |
\( \frac{4108077233}{65536} a^{2} - \frac{5810733523}{32768} a + \frac{2294990397}{32768} \) |
\( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a^{2} - 3\) , \( -2894790049560 a^{2} + 1532260369223 a + 12300369748958\) , \( -6521086825648874308 a^{2} + 3451719377275691295 a + 27709014383527172465\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(-a^{2}+2\right){x}^{2}+\left(-2894790049560a^{2}+1532260369223a+12300369748958\right){x}-6521086825648874308a^{2}+3451719377275691295a+27709014383527172465$ |
| 64.7-a6 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{19} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2 \) |
$1$ |
$3.580191674$ |
1.611212134 |
\( -\frac{10154621765056003}{2} a^{2} + 2687505089603077 a + 21574207961612782 \) |
\( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a + 1\) , \( 7908272 a^{2} - 4185996 a - 33603389\) , \( 17708327376 a^{2} - 9373311330 a - 75245171795\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a^{2}+2\right){x}^{2}+\left(7908272a^{2}-4185996a-33603389\right){x}+17708327376a^{2}-9373311330a-75245171795$ |
| 64.7-a7 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{20} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$28.64153339$ |
1.611212134 |
\( \frac{8525185037}{4} a^{2} - \frac{12150636535}{2} a + \frac{5069473275}{2} \) |
\( \bigl[a + 1\) , \( -a^{2} + 2\) , \( a + 1\) , \( 494267 a^{2} - 261626 a - 2100214\) , \( 276978244 a^{2} - 146609178 a - 1176919487\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a^{2}+2\right){x}^{2}+\left(494267a^{2}-261626a-2100214\right){x}+276978244a^{2}-146609178a-1176919487$ |
| 64.7-a8 |
64.7-a |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{19} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$1$ |
$7.160383349$ |
1.611212134 |
\( \frac{89069256294443128323}{2} a^{2} - 125302919348047971845 a + 49111676741552886754 \) |
\( \bigl[a + 1\) , \( -a^{2} - a + 4\) , \( a + 1\) , \( 25 a^{2} + 40 a - 45\) , \( -3190 a^{2} - 4343 a + 2671\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a^{2}-a+4\right){x}^{2}+\left(25a^{2}+40a-45\right){x}-3190a^{2}-4343a+2671$ |
| 64.7-b1 |
64.7-b |
$2$ |
$2$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{6} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$203.9537268$ |
2.868323380 |
\( 1728 \) |
\( \bigl[a^{2} + a - 2\) , \( -a^{2} + 2\) , \( a^{2} - 3\) , \( a^{2} + a - 1\) , \( 2 a^{2} + 2 a - 3\bigr] \) |
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(-a^{2}+2\right){x}^{2}+\left(a^{2}+a-1\right){x}+2a^{2}+2a-3$ |
| 64.7-b2 |
64.7-b |
$2$ |
$2$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{12} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2 \) |
$1$ |
$101.9768634$ |
2.868323380 |
\( 1728 \) |
\( \bigl[a^{2} + a - 2\) , \( -a^{2} + 2\) , \( a^{2} - 3\) , \( -2 a^{2} + a + 9\) , \( -a^{2} + a + 5\bigr] \) |
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(-a^{2}+2\right){x}^{2}+\left(-2a^{2}+a+9\right){x}-a^{2}+a+5$ |
| 64.7-c1 |
64.7-c |
$2$ |
$2$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{14} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$28.28981181$ |
0.795713124 |
\( 510768 a^{2} - 1452320 a + 597920 \) |
\( \bigl[a^{2} + a - 2\) , \( a^{2} - a - 2\) , \( a^{2} - 3\) , \( 3 a^{2} + a - 5\) , \( -2 a^{2} - 4 a\bigr] \) |
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(a^{2}-a-2\right){x}^{2}+\left(3a^{2}+a-5\right){x}-2a^{2}-4a$ |
| 64.7-c2 |
64.7-c |
$2$ |
$2$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{10} \) |
$3.17696$ |
$(-a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$28.28981181$ |
0.795713124 |
\( 342336 a^{2} + 460416 a - 292544 \) |
\( \bigl[a^{2} + a - 2\) , \( a - 1\) , \( a + 1\) , \( -71 a^{2} + 42 a + 312\) , \( 7259 a^{2} - 3836 a - 30834\bigr] \) |
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-71a^{2}+42a+312\right){x}+7259a^{2}-3836a-30834$ |
| 64.7-d1 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{19} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.241056509$ |
$18.76465381$ |
2.565930457 |
\( -\frac{10154621765056003}{2} a^{2} + 2687505089603077 a + 21574207961612782 \) |
\( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( 7908273 a^{2} - 4185996 a - 33603392\) , \( -17708327376 a^{2} + 9373311329 a + 75245171793\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(a^{2}-a-4\right){x}^{2}+\left(7908273a^{2}-4185996a-33603392\right){x}-17708327376a^{2}+9373311329a+75245171793$ |
| 64.7-d2 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{20} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1.620528254$ |
$37.52930762$ |
2.565930457 |
\( \frac{8525185037}{4} a^{2} - \frac{12150636535}{2} a + \frac{5069473275}{2} \) |
\( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( 494268 a^{2} - 261626 a - 2100217\) , \( -276978244 a^{2} + 146609177 a + 1176919485\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(a^{2}-a-4\right){x}^{2}+\left(494268a^{2}-261626a-2100217\right){x}-276978244a^{2}+146609177a+1176919485$ |
| 64.7-d3 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{34} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.810264127$ |
$18.76465381$ |
2.565930457 |
\( \frac{4108077233}{65536} a^{2} - \frac{5810733523}{32768} a + \frac{2294990397}{32768} \) |
\( \bigl[a^{2} - 3\) , \( a^{2} - a - 4\) , \( a + 1\) , \( -2894790049560 a^{2} + 1532260369223 a + 12300369748958\) , \( 6521086825648874308 a^{2} - 3451719377275691296 a - 27709014383527172467\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{2}-a-4\right){x}^{2}+\left(-2894790049560a^{2}+1532260369223a+12300369748958\right){x}+6521086825648874308a^{2}-3451719377275691296a-27709014383527172467$ |
| 64.7-d4 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{19} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.241056509$ |
$4.691163453$ |
2.565930457 |
\( \frac{89069256294443128323}{2} a^{2} - 125302919348047971845 a + 49111676741552886754 \) |
\( \bigl[a^{2} - 3\) , \( a^{2} - 3\) , \( 0\) , \( 27 a^{2} + 42 a - 50\) , \( 3216 a^{2} + 4384 a - 2719\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(27a^{2}+42a-50\right){x}+3216a^{2}+4384a-2719$ |
| 64.7-d5 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{22} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$0.810264127$ |
$75.05861525$ |
2.565930457 |
\( \frac{200481}{16} a^{2} - \frac{325027}{8} a + \frac{233973}{8} \) |
\( \bigl[a^{2} - 3\) , \( -a^{2} + 3\) , \( 0\) , \( 2665494175 a^{2} - 1410890261 a - 11326059353\) , \( -101934795285681 a^{2} + 53955777236750 a + 433135270894324\bigr] \) |
${y}^2+\left(a^{2}-3\right){x}{y}={x}^{3}+\left(-a^{2}+3\right){x}^{2}+\left(2665494175a^{2}-1410890261a-11326059353\right){x}-101934795285681a^{2}+53955777236750a+433135270894324$ |
| 64.7-d6 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{22} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.241056509$ |
$4.691163453$ |
2.565930457 |
\( \frac{32251567931279}{16} a^{2} + \frac{21655756210331}{8} a - \frac{13765401110581}{8} \) |
\( \bigl[a + 1\) , \( a^{2} - 3\) , \( 0\) , \( 1698582370192 a^{2} - 899087811255 a - 7217515206531\) , \( 1762036591917483023 a^{2} - 932675182895637479 a - 7487141112384210938\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(1698582370192a^{2}-899087811255a-7217515206531\right){x}+1762036591917483023a^{2}-932675182895637479a-7487141112384210938$ |
| 64.7-d7 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{26} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1.620528254$ |
$37.52930762$ |
2.565930457 |
\( \frac{130050481}{256} a^{2} + \frac{87514925}{128} a - \frac{54929731}{128} \) |
\( \bigl[a + 1\) , \( a^{2} - 3\) , \( 0\) , \( 111924466012 a^{2} - 59243475580 a - 475582785736\) , \( 24375985535984949 a^{2} - 12902613301177606 a - 103576988297813195\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(111924466012a^{2}-59243475580a-475582785736\right){x}+24375985535984949a^{2}-12902613301177606a-103576988297813195$ |
| 64.7-d8 |
64.7-d |
$8$ |
$16$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{20} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.405132063$ |
$37.52930762$ |
2.565930457 |
\( \frac{427}{4} a^{2} + \frac{383}{2} a - \frac{47}{2} \) |
\( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -1090739352869 a^{2} + 577346424071 a + 4634704800807\) , \( -3861853717631158558 a^{2} + 2044143202774369436 a + 16409559183912861757\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-1090739352869a^{2}+577346424071a+4634704800807\right){x}-3861853717631158558a^{2}+2044143202774369436a+16409559183912861757$ |
| 64.7-e1 |
64.7-e |
$2$ |
$2$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( 2^{10} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2 \) |
$0.051249936$ |
$265.0243926$ |
1.146111581 |
\( 342336 a^{2} + 460416 a - 292544 \) |
\( \bigl[a^{2} + a - 2\) , \( a^{2} - a - 4\) , \( a^{2} - 3\) , \( -73 a^{2} + 41 a + 315\) , \( -7157 a^{2} + 3791 a + 30416\bigr] \) |
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+\left(a^{2}-a-4\right){x}^{2}+\left(-73a^{2}+41a+315\right){x}-7157a^{2}+3791a+30416$ |
| 64.7-e2 |
64.7-e |
$2$ |
$2$ |
3.3.316.1 |
$3$ |
$[3, 0]$ |
64.7 |
\( 2^{6} \) |
\( - 2^{14} \) |
$3.17696$ |
$(-a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.025624968$ |
$265.0243926$ |
1.146111581 |
\( 510768 a^{2} - 1452320 a + 597920 \) |
\( \bigl[a^{2} + a - 2\) , \( a\) , \( a^{2} - 3\) , \( 4 a^{2} + 3 a - 7\) , \( 4 a^{2} + 5 a - 4\bigr] \) |
${y}^2+\left(a^{2}+a-2\right){x}{y}+\left(a^{2}-3\right){y}={x}^{3}+a{x}^{2}+\left(4a^{2}+3a-7\right){x}+4a^{2}+5a-4$ |
*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.
