| 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 |
| 73.1-a1 |
73.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.1 |
\( 73 \) |
\( 73^{3} \) |
$0.45241$ |
$(-9a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3 \) |
$1$ |
$3.242334089$ |
0.311993743 |
\( \frac{60988685561}{389017} a - \frac{169775626841}{389017} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 6 a + 10\) , \( -11 a + 20\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a+10\right){x}-11a+20$ |
| 73.1-a2 |
73.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.1 |
\( 73 \) |
\( 73^{2} \) |
$0.45241$ |
$(-9a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \) |
$1$ |
$4.863501133$ |
0.311993743 |
\( -\frac{927841113}{5329} a - \frac{395933743}{5329} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 5\) , \( -4 a + 4\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+5{x}-4a+4$ |
| 73.1-a3 |
73.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.1 |
\( 73 \) |
\( 73 \) |
$0.45241$ |
$(-9a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 1 \) |
$1$ |
$9.727002267$ |
0.311993743 |
\( \frac{9927}{73} a + \frac{20960}{73} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}$ |
| 73.1-a4 |
73.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.1 |
\( 73 \) |
\( 73^{6} \) |
$0.45241$ |
$(-9a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.621167044$ |
0.311993743 |
\( -\frac{55816089234767}{151334226289} a + \frac{107352826006104}{151334226289} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 11 a + 5\) , \( -20 a + 11\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(11a+5\right){x}-20a+11$ |
| 73.2-a1 |
73.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.2 |
\( 73 \) |
\( 73^{3} \) |
$0.45241$ |
$(9a-8)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3 \) |
$1$ |
$3.242334089$ |
0.311993743 |
\( -\frac{60988685561}{389017} a - \frac{108786941280}{389017} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -4 a + 14\) , \( 16 a - 6\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a+14\right){x}+16a-6$ |
| 73.2-a2 |
73.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.2 |
\( 73 \) |
\( 73^{2} \) |
$0.45241$ |
$(9a-8)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \) |
$1$ |
$4.863501133$ |
0.311993743 |
\( \frac{927841113}{5329} a - \frac{1323774856}{5329} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -6 a - 1\) , \( 4 a\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-1\right){x}+4a$ |
| 73.2-a3 |
73.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.2 |
\( 73 \) |
\( 73 \) |
$0.45241$ |
$(9a-8)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 1 \) |
$1$ |
$9.727002267$ |
0.311993743 |
\( -\frac{9927}{73} a + \frac{30887}{73} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -a - 1\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-1\right){x}$ |
| 73.2-a4 |
73.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
73.2 |
\( 73 \) |
\( 73^{6} \) |
$0.45241$ |
$(9a-8)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.621167044$ |
0.311993743 |
\( \frac{55816089234767}{151334226289} a + \frac{51536736771337}{151334226289} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -9 a + 14\) , \( 30 a - 24\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-9a+14\right){x}+30a-24$ |
| 144.1-CMa2 |
144.1-CMa |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{6} \) |
$0.53615$ |
$(-2a+1), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{yes}$ |
$-12$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
$3$ |
3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.554057858$ |
0.491528664 |
\( 54000 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -15\) , \( 22\bigr] \) |
${y}^2={x}^{3}-15{x}+22$ |
| 171.1-a1 |
171.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.1 |
\( 3^{2} \cdot 19 \) |
\( 3^{9} \cdot 19^{3} \) |
$0.55969$ |
$(-2a+1), (-5a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.713137527$ |
0.522143560 |
\( \frac{29840721}{6859} a - \frac{35267232}{6859} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -5 a - 5\) , \( 9 a + 3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-5a-5\right){x}+9a+3$ |
| 171.1-a2 |
171.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.1 |
\( 3^{2} \cdot 19 \) |
\( 3^{9} \cdot 19^{6} \) |
$0.55969$ |
$(-2a+1), (-5a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.356568763$ |
0.522143560 |
\( -\frac{36038181633}{47045881} a - \frac{39546962313}{47045881} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -20 a + 25\) , \( 18 a + 48\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-20a+25\right){x}+18a+48$ |
| 171.1-a3 |
171.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.1 |
\( 3^{2} \cdot 19 \) |
\( 3^{3} \cdot 19 \) |
$0.55969$ |
$(-2a+1), (-5a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \) |
$1$ |
$8.139412583$ |
0.522143560 |
\( -\frac{9153}{19} a + \frac{36801}{19} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 0\) , \( -a\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}-a$ |
| 171.1-a4 |
171.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.1 |
\( 3^{2} \cdot 19 \) |
\( 3^{3} \cdot 19^{2} \) |
$0.55969$ |
$(-2a+1), (-5a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$4.069706291$ |
0.522143560 |
\( -\frac{363527109}{361} a + \frac{287391186}{361} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 5 a + 5\) , \( -11 a + 11\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(5a+5\right){x}-11a+11$ |
| 171.2-a1 |
171.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.2 |
\( 3^{2} \cdot 19 \) |
\( 3^{9} \cdot 19^{3} \) |
$0.55969$ |
$(-2a+1), (-5a+2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.713137527$ |
0.522143560 |
\( -\frac{29840721}{6859} a - \frac{5426511}{6859} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 4 a - 9\) , \( -10 a + 13\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(4a-9\right){x}-10a+13$ |
| 171.2-a2 |
171.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.2 |
\( 3^{2} \cdot 19 \) |
\( 3^{9} \cdot 19^{6} \) |
$0.55969$ |
$(-2a+1), (-5a+2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.356568763$ |
0.522143560 |
\( \frac{36038181633}{47045881} a - \frac{75585143946}{47045881} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 19 a + 6\) , \( -19 a + 67\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(19a+6\right){x}-19a+67$ |
| 171.2-a3 |
171.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.2 |
\( 3^{2} \cdot 19 \) |
\( 3^{3} \cdot 19 \) |
$0.55969$ |
$(-2a+1), (-5a+2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \) |
$1$ |
$8.139412583$ |
0.522143560 |
\( \frac{9153}{19} a + \frac{27648}{19} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -a + 1\) , \( 0\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-a+1\right){x}$ |
| 171.2-a4 |
171.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
171.2 |
\( 3^{2} \cdot 19 \) |
\( 3^{3} \cdot 19^{2} \) |
$0.55969$ |
$(-2a+1), (-5a+2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$4.069706291$ |
0.522143560 |
\( \frac{363527109}{361} a - \frac{76135923}{361} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -6 a + 11\) , \( 10 a + 1\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-6a+11\right){x}+10a+1$ |
| 196.2-a1 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{36} \cdot 7^{2} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
0.505422318 |
\( -\frac{548347731625}{1835008} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$ |
| 196.2-a2 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{2} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \) |
$1$ |
$7.878754216$ |
0.505422318 |
\( -\frac{15625}{28} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -a\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}-a{x}$ |
| 196.2-a5 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 7^{20} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.437708567$ |
0.505422318 |
\( -\frac{14378731676028886375}{3256827195820898} a + \frac{34112602872034890375}{3256827195820898} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 184 a - 415\) , \( 1880 a - 2686\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(184a-415\right){x}+1880a-2686$ |
| 196.2-a6 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 7^{20} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.437708567$ |
0.505422318 |
\( \frac{14378731676028886375}{3256827195820898} a + \frac{9866935598003002000}{1628413597910449} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 414 a - 185\) , \( -1880 a - 806\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(414a-185\right){x}-1880a-806$ |
| 196.2-a7 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 7^{4} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$3.939377108$ |
0.505422318 |
\( \frac{128787625}{98} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -11 a + 10\) , \( 12\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-11a+10\right){x}+12$ |
| 196.2-a8 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{10} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
0.505422318 |
\( -\frac{10722436976428375}{161414428} a + \frac{3017980745593000}{40353607} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 184 a - 405\) , \( 1920 a - 2854\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(184a-405\right){x}+1920a-2854$ |
| 196.2-a9 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 7^{10} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$0.875417135$ |
0.505422318 |
\( \frac{10722436976428375}{161414428} a + \frac{1349486005943625}{161414428} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( 404 a - 185\) , \( -1920 a - 934\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(404a-185\right){x}-1920a-934$ |
| 196.2-a10 |
196.2-a |
$10$ |
$18$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
196.2 |
\( 2^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 7^{4} \) |
$0.57911$ |
$(-3a+1), (3a-2), (2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.437708567$ |
0.505422318 |
\( \frac{2251439055699625}{25088} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2731\) , \( -55146\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-2731{x}-55146$ |
| 273.2-a1 |
273.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.2 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 7 \cdot 13^{4} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (4a-3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.774212068$ |
0.682894543 |
\( \frac{16787692335859}{1799343} a - \frac{38770376863391}{1799343} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 64 a + 15\) , \( 102 a - 313\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(64a+15\right){x}+102a-313$ |
| 273.2-a3 |
273.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.2 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 7 \cdot 13 \) |
$0.62913$ |
$(-2a+1), (-3a+1), (4a-3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3 \) |
$1$ |
$7.096848272$ |
0.682894543 |
\( \frac{936947}{819} a - \frac{812467}{819} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -a\) , \( 0\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}-a{x}$ |
| 273.2-a5 |
273.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.2 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3 \cdot 7^{3} \cdot 13^{12} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (4a-3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.591404022$ |
0.682894543 |
\( -\frac{19030714115740336837}{23973729591032949} a + \frac{39663608191986205244}{23973729591032949} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 59 a + 85\) , \( -405 a + 86\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(59a+85\right){x}-405a+86$ |
| 273.2-a6 |
273.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.2 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3 \cdot 7^{3} \cdot 13^{3} \) |
$0.62913$ |
$(-2a+1), (-3a+1), (4a-3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3^{2} \) |
$1$ |
$2.365616090$ |
0.682894543 |
\( \frac{6034721852647}{2260713} a - \frac{3013216123520}{2260713} \) |
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -26 a - 10\) , \( -85 a + 29\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-10\right){x}-85a+29$ |
| 273.3-a1 |
273.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.3 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 7 \cdot 13^{4} \) |
$0.62913$ |
$(-2a+1), (3a-2), (-4a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.774212068$ |
0.682894543 |
\( -\frac{16787692335859}{1799343} a - \frac{21982684527532}{1799343} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -64 a + 80\) , \( -87 a - 147\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-64a+80\right){x}-87a-147$ |
| 273.3-a3 |
273.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.3 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 7 \cdot 13 \) |
$0.62913$ |
$(-2a+1), (3a-2), (-4a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3 \) |
$1$ |
$7.096848272$ |
0.682894543 |
\( -\frac{936947}{819} a + \frac{124480}{819} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( a\) , \( -1\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+a{x}-1$ |
| 273.3-a5 |
273.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.3 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3 \cdot 7^{3} \cdot 13^{12} \) |
$0.62913$ |
$(-2a+1), (3a-2), (-4a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.591404022$ |
0.682894543 |
\( \frac{19030714115740336837}{23973729591032949} a + \frac{20632894076245868407}{23973729591032949} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -59 a + 145\) , \( 490 a - 260\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-59a+145\right){x}+490a-260$ |
| 273.3-a6 |
273.3-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
273.3 |
\( 3 \cdot 7 \cdot 13 \) |
\( 3 \cdot 7^{3} \cdot 13^{3} \) |
$0.62913$ |
$(-2a+1), (3a-2), (-4a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3^{2} \) |
$1$ |
$2.365616090$ |
0.682894543 |
\( -\frac{6034721852647}{2260713} a + \frac{3021505729127}{2260713} \) |
\( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( 26 a - 35\) , \( 75 a - 82\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(26a-35\right){x}+75a-82$ |
| 300.1-a3 |
300.1-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
300.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{24} \) |
$0.64414$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.323572535$ |
0.747258760 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -454\) , \( -544\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-454{x}-544$ |
| 300.1-a4 |
300.1-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
300.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{24} \cdot 5^{2} \) |
$0.64414$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.970717605$ |
0.747258760 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -69 a + 68\) , \( -194\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-69a+68\right){x}-194$ |
| 300.1-a7 |
300.1-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
300.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$0.64414$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.970717605$ |
0.747258760 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -289 a + 288\) , \( 1862\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-289a+288\right){x}+1862$ |
| 300.1-a8 |
300.1-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
300.1 |
\( 2^{2} \cdot 3 \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \) |
$0.64414$ |
$(-2a+1), (2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.323572535$ |
0.747258760 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -5334\) , \( -150368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-5334{x}-150368$ |
| 400.1-a1 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{12} \) |
$0.69217$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$1.070515942$ |
0.618062667 |
\( -\frac{20720464}{15625} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -36 a + 36\) , \( -140\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-36a+36\right){x}-140$ |
| 400.1-a2 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$0.69217$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.211547828$ |
0.618062667 |
\( \frac{21296}{25} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -4 a\) , \( 4\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}-4a{x}+4$ |
| 400.1-a3 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$0.69217$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3 \) |
$1$ |
$6.423095656$ |
0.618062667 |
\( \frac{16384}{5} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( a\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+a{x}$ |
| 400.1-a4 |
400.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
400.1 |
\( 2^{4} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$0.69217$ |
$(2), (5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 3^{2} \) |
$1$ |
$2.141031885$ |
0.618062667 |
\( \frac{488095744}{125} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -41 a + 41\) , \( -116\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-41a+41\right){x}-116$ |
| 441.2-a1 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{13} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.978540127$ |
0.753280541 |
\( -\frac{2097781165791}{13841287201} a + \frac{1802695628925}{13841287201} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( -26 a + 12\) , \( 161 a - 50\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-26a+12\right){x}+161a-50$ |
| 441.2-a2 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{13} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.978540127$ |
0.753280541 |
\( \frac{2097781165791}{13841287201} a - \frac{295085536866}{13841287201} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 25 a - 14\) , \( -162 a + 111\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(25a-14\right){x}-162a+111$ |
| 441.2-a3 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{4} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.914160511$ |
0.753280541 |
\( -\frac{988929}{343} a + \frac{2130273}{343} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 4 a - 3\) , \( -4 a + 1\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(4a-3\right){x}-4a+1$ |
| 441.2-a4 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{4} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$3.914160511$ |
0.753280541 |
\( \frac{988929}{343} a + \frac{1141344}{343} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -5 a + 1\) , \( 3 a - 3\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-5a+1\right){x}+3a-3$ |
| 441.2-a7 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{7} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.978540127$ |
0.753280541 |
\( -\frac{308817493407}{2401} a + \frac{246921503922}{2401} \) |
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -305 a + 16\) , \( -2190 a + 1269\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-305a+16\right){x}-2190a+1269$ |
| 441.2-a8 |
441.2-a |
$8$ |
$12$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
441.2 |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{6} \cdot 7^{7} \) |
$0.70927$ |
$(-2a+1), (-3a+1), (3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.978540127$ |
0.753280541 |
\( \frac{308817493407}{2401} a - \frac{61895989485}{2401} \) |
\( \bigl[1\) , \( -1\) , \( a\) , \( 304 a - 288\) , \( 2189 a - 920\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(304a-288\right){x}+2189a-920$ |
| 651.1-a1 |
651.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
651.1 |
\( 3 \cdot 7 \cdot 31 \) |
\( 3^{2} \cdot 7^{3} \cdot 31^{3} \) |
$0.78180$ |
$(-2a+1), (-3a+1), (-6a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$1.674062746$ |
0.966520577 |
\( \frac{111907747586231}{30654939} a - \frac{90356107258871}{30654939} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -75 a + 32\) , \( -238 a + 259\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-75a+32\right){x}-238a+259$ |
| 651.1-a2 |
651.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
651.1 |
\( 3 \cdot 7 \cdot 31 \) |
\( 3^{3} \cdot 7^{2} \cdot 31^{2} \) |
$0.78180$ |
$(-2a+1), (-3a+1), (-6a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.511094120$ |
0.966520577 |
\( -\frac{888497305225}{423801} a + \frac{39682028303}{423801} \) |
\( \bigl[a + 1\) , \( 1\) , \( 1\) , \( 32 a - 16\) , \( -30 a - 31\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(32a-16\right){x}-30a-31$ |
| 651.1-a3 |
651.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
651.1 |
\( 3 \cdot 7 \cdot 31 \) |
\( 3 \cdot 7^{6} \cdot 31^{6} \) |
$0.78180$ |
$(-2a+1), (-3a+1), (-6a+1)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.837031373$ |
0.966520577 |
\( -\frac{511630590199131503}{313241761697907} a + \frac{137905491910214230}{313241761697907} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -70 a + 37\) , \( -295 a + 274\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-70a+37\right){x}-295a+274$ |
*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.
