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 |
14400.6-a1 |
14400.6-a |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{3} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.133051035$ |
$1.689161918$ |
4.336837740 |
\( \frac{1741520}{81} a - \frac{4898912}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 4 a - 36\) , \( 12 a - 72\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(4a-36\right){x}+12a-72$ |
14400.6-a2 |
14400.6-a |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{3} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.133051035$ |
$3.378323837$ |
4.336837740 |
\( \frac{14080}{81} a + \frac{2816}{27} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -a - 1\) , \( 2 a - 2\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-a-1\right){x}+2a-2$ |
14400.6-b1 |
14400.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{14} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.194163255$ |
$0.316604361$ |
3.647826997 |
\( \frac{1241463394912}{31640625} a - \frac{7661328449008}{31640625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -312 a + 1296\) , \( 8388 a + 5616\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-312a+1296\right){x}+8388a+5616$ |
14400.6-b2 |
14400.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$4.776653023$ |
$0.316604361$ |
3.647826997 |
\( -\frac{489773228672}{13286025} a - \frac{690453043984}{4428675} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -707 a + 636\) , \( 4329 a - 16956\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-707a+636\right){x}+4329a-16956$ |
14400.6-b3 |
14400.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{26} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$2.388326511$ |
$0.158302180$ |
3.647826997 |
\( \frac{17981916308336}{1412147682405} a + \frac{228510415169452}{470715894135} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -727 a - 24\) , \( -4475 a - 23988\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-727a-24\right){x}-4475a-23988$ |
14400.6-b4 |
14400.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{10} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$2.388326511$ |
$0.633208723$ |
3.647826997 |
\( \frac{134930432}{4100625} a + \frac{3123853312}{4100625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -42 a + 81\) , \( 234 a - 216\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-42a+81\right){x}+234a-216$ |
14400.6-b5 |
14400.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{19} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.194163255$ |
$0.316604361$ |
3.647826997 |
\( -\frac{127513286368}{1076168025} a + \frac{3845737468912}{1076168025} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 263 a - 479\) , \( 2055 a - 1623\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(263a-479\right){x}+2055a-1623$ |
14400.6-b6 |
14400.6-b |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$9.553306047$ |
$0.158302180$ |
3.647826997 |
\( \frac{47050747084816}{3645} a + \frac{24861005118692}{1215} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -11327 a + 10176\) , \( 264573 a - 1072404\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-11327a+10176\right){x}+264573a-1072404$ |
14400.6-c1 |
14400.6-c |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.982322010$ |
$0.448491816$ |
4.250715456 |
\( \frac{11676382636}{32805} a - \frac{10226945044}{32805} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 408 a + 56\) , \( -1200 a - 6788\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(408a+56\right){x}-1200a-6788$ |
14400.6-c2 |
14400.6-c |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.964644021$ |
$0.896983633$ |
4.250715456 |
\( \frac{152656}{675} a + \frac{2560288}{2025} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 28 a + 16\) , \( -56 a - 36\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(28a+16\right){x}-56a-36$ |
14400.6-c3 |
14400.6-c |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{10} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$3.929288043$ |
$0.448491816$ |
4.250715456 |
\( -\frac{1290496508}{4100625} a + \frac{2996648924}{1366875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -112 a - 104\) , \( -336 a - 276\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-112a-104\right){x}-336a-276$ |
14400.6-c4 |
14400.6-c |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{17} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$7.858576086$ |
$0.224245908$ |
4.250715456 |
\( \frac{25259929385062}{1076168025} a + \frac{11373632297264}{358722675} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1032 a - 464\) , \( 20448 a - 10404\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-1032a-464\right){x}+20448a-10404$ |
14400.6-c5 |
14400.6-c |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.982322010$ |
$1.793967266$ |
4.250715456 |
\( -\frac{3110144}{45} a + \frac{1590016}{45} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 13 a + 21\) , \( -30 a + 72\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(13a+21\right){x}-30a+72$ |
14400.6-c6 |
14400.6-c |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{5} \cdot 5^{14} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$7.858576086$ |
$0.224245908$ |
4.250715456 |
\( -\frac{26459826384118}{31640625} a + \frac{14513008093504}{10546875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1432 a - 1664\) , \( -41280 a - 7428\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-1432a-1664\right){x}-41280a-7428$ |
14400.6-d1 |
14400.6-d |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.683131223$ |
0.823887255 |
\( \frac{18321686}{729} a - \frac{567362}{729} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -120 a + 48\) , \( -432 a + 828\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-120a+48\right){x}-432a+828$ |
14400.6-d2 |
14400.6-d |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.366262447$ |
0.823887255 |
\( \frac{868}{27} a - \frac{856}{27} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8\) , \( -32 a + 28\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+8{x}-32a+28$ |
14400.6-e1 |
14400.6-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{17} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.362256772$ |
$0.358494755$ |
4.085390259 |
\( \frac{70879649764}{215233605} a + \frac{82388005964}{215233605} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 88 a - 288\) , \( -192 a - 2052\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(88a-288\right){x}-192a-2052$ |
14400.6-e2 |
14400.6-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.181128386$ |
$0.716989510$ |
4.085390259 |
\( -\frac{217269712}{164025} a + \frac{614677408}{164025} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -52 a + 92\) , \( 8 a - 452\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-52a+92\right){x}+8a-452$ |
14400.6-e3 |
14400.6-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.590564193$ |
$1.433979020$ |
4.085390259 |
\( \frac{3156736}{405} a + \frac{2649856}{405} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -12 a + 37\) , \( 30 a + 24\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-12a+37\right){x}+30a+24$ |
14400.6-e4 |
14400.6-e |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{5} \cdot 5^{10} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.362256772$ |
$0.358494755$ |
4.085390259 |
\( -\frac{314400199828}{50625} a + \frac{170025009652}{50625} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -832 a + 1352\) , \( -1600 a - 26516\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-832a+1352\right){x}-1600a-26516$ |
14400.6-f1 |
14400.6-f |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{11} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.529263930$ |
1.276632633 |
\( -\frac{3134260907776}{253125} a - \frac{17712079616}{253125} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 341 a - 789\) , \( 5066 a - 6063\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(341a-789\right){x}+5066a-6063$ |
14400.6-f2 |
14400.6-f |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{16} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.264631965$ |
1.276632633 |
\( \frac{142582892404208}{64072265625} a - \frac{201926467691072}{64072265625} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 346 a - 749\) , \( 5159 a - 7119\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(346a-749\right){x}+5159a-7119$ |
14400.6-g1 |
14400.6-g |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{9} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.372286032$ |
$0.722451424$ |
5.190019933 |
\( \frac{1912576}{6561} a + \frac{841472}{2187} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 36 a - 54\) , \( 81 a - 243\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(36a-54\right){x}+81a-243$ |
14400.6-g2 |
14400.6-g |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{9} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.744572065$ |
$0.361225712$ |
5.190019933 |
\( -\frac{690575344}{531441} a + \frac{2124433696}{531441} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -259 a + 211\) , \( 1209 a - 3144\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-259a+211\right){x}+1209a-3144$ |
14400.6-h1 |
14400.6-h |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.366262447$ |
2.471661766 |
\( -\frac{868}{27} a + \frac{4}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 9\) , \( 21 a - 48\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-9\right){x}+21a-48$ |
14400.6-h2 |
14400.6-h |
$2$ |
$2$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.683131223$ |
2.471661766 |
\( -\frac{18321686}{729} a + \frac{5918108}{243} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -119 a + 31\) , \( 629 a - 984\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-119a+31\right){x}+629a-984$ |
14400.6-i1 |
14400.6-i |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{18} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$16$ |
\( 2^{6} \) |
$1$ |
$0.085518907$ |
3.300469852 |
\( \frac{239476497043604828}{177978515625} a - \frac{708451318291482152}{177978515625} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -12046 a - 10585\) , \( -929137 a + 55513\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-12046a-10585\right){x}-929137a+55513$ |
14400.6-i2 |
14400.6-i |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{5} \cdot 5^{30} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$64$ |
\( 2^{3} \) |
$1$ |
$0.042759453$ |
3.300469852 |
\( -\frac{1765472089148940783166}{1609325408935546875} a + \frac{1086814205455537804894}{1609325408935546875} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -12766 a - 7345\) , \( -943681 a - 343439\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-12766a-7345\right){x}-943681a-343439$ |
14400.6-i3 |
14400.6-i |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{20} \cdot 5^{12} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{7} \) |
$1$ |
$0.171037814$ |
3.300469852 |
\( \frac{9079300029968}{8303765625} a + \frac{6689202723088}{8303765625} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -706 a - 865\) , \( -13837 a + 6913\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-706a-865\right){x}-13837a+6913$ |
14400.6-i4 |
14400.6-i |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{22} \cdot 5^{9} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.342075629$ |
3.300469852 |
\( -\frac{4068709022464}{5380840125} a + \frac{2162529966592}{1793613375} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 54 a + 340\) , \( -1821 a + 66\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(54a+340\right){x}-1821a+66$ |
14400.6-i5 |
14400.6-i |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{28} \cdot 5^{9} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$0.085518907$ |
3.300469852 |
\( -\frac{516903927314317196}{35303692060125} a + \frac{178322148386632664}{35303692060125} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -1526 a - 10425\) , \( 88839 a + 413721\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1526a-10425\right){x}+88839a+413721$ |
14400.6-i6 |
14400.6-i |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{5} \cdot 5^{12} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$64$ |
\( 2^{3} \) |
$1$ |
$0.042759453$ |
3.300469852 |
\( -\frac{3756149521920000146}{421875} a + \frac{4395622256963999714}{421875} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -192766 a - 169345\) , \( -60012193 a + 3953665\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-192766a-169345\right){x}-60012193a+3953665$ |
14400.6-j1 |
14400.6-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.775828395$ |
$1.182999906$ |
4.427657523 |
\( \frac{2117632}{18225} a + \frac{10287104}{6075} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 3 a + 32\) , \( 2 a + 32\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+32\right){x}+2a+32$ |
14400.6-j2 |
14400.6-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{14} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.387914197$ |
$0.591499953$ |
4.427657523 |
\( -\frac{299100736}{2657205} a + \frac{1544345968}{885735} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2 a - 133\) , \( -131 a + 143\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-2a-133\right){x}-131a+143$ |
14400.6-j3 |
14400.6-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1.551656790$ |
$0.591499953$ |
4.427657523 |
\( -\frac{1522356704}{32805} a + \frac{3985360976}{32805} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a + 327\) , \( 1447 a - 408\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a+327\right){x}+1447a-408$ |
14400.6-j4 |
14400.6-j |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{10} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.551656790$ |
$0.591499953$ |
4.427657523 |
\( \frac{4735750624}{16875} a + \frac{648744976}{1875} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 48 a + 392\) , \( -1780 a + 1976\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(48a+392\right){x}-1780a+1976$ |
14400.6-k1 |
14400.6-k |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.099445781$ |
1.988972255 |
\( \frac{10213168}{675} a - \frac{12616912}{675} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -27 a + 67\) , \( 75 a + 216\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-27a+67\right){x}+75a+216$ |
14400.6-k2 |
14400.6-k |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{10} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.549722890$ |
1.988972255 |
\( \frac{54510092}{455625} a - \frac{91125128}{455625} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 33 a + 47\) , \( -13 a + 812\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(33a+47\right){x}-13a+812$ |
14400.6-k3 |
14400.6-k |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{16} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.274861445$ |
1.988972255 |
\( -\frac{84522437194}{13286025} a + \frac{96190711246}{13286025} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 153 a - 993\) , \( -3285 a + 10836\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(153a-993\right){x}-3285a+10836$ |
14400.6-k4 |
14400.6-k |
$4$ |
$4$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{14} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.274861445$ |
1.988972255 |
\( -\frac{2323817506786}{10546875} a + \frac{4937123627974}{10546875} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 873 a + 767\) , \( -3973 a + 32132\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(873a+767\right){x}-3973a+32132$ |
14400.6-l1 |
14400.6-l |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{16} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.406444152$ |
1.960760367 |
\( \frac{207646}{6561} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -46 a + 15\) , \( 673 a + 1275\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-46a+15\right){x}+673a+1275$ |
14400.6-l2 |
14400.6-l |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$3.251553221$ |
1.960760367 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -a\) , \( -2 a\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}-a{x}-2a$ |
14400.6-l3 |
14400.6-l |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.625776610$ |
1.960760367 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 14 a - 5\) , \( -3 a - 33\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(14a-5\right){x}-3a-33$ |
14400.6-l4 |
14400.6-l |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.812888305$ |
1.960760367 |
\( \frac{1556068}{81} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 74 a - 25\) , \( 217 a + 227\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(74a-25\right){x}+217a+227$ |
14400.6-l5 |
14400.6-l |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.812888305$ |
1.960760367 |
\( \frac{28756228}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 194 a - 65\) , \( -687 a - 1605\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(194a-65\right){x}-687a-1605$ |
14400.6-l6 |
14400.6-l |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{6} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$0.406444152$ |
1.960760367 |
\( \frac{3065617154}{9} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1154 a - 385\) , \( 12241 a + 19019\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(1154a-385\right){x}+12241a+19019$ |
14400.6-m1 |
14400.6-m |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.214047074$ |
2.928391727 |
\( \frac{77422592}{50625} a - \frac{312240128}{50625} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -21 a - 10\) , \( -88 a + 62\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-21a-10\right){x}-88a+62$ |
14400.6-m2 |
14400.6-m |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{20} \cdot 3^{18} \cdot 5^{7} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.303511768$ |
2.928391727 |
\( -\frac{354528979184}{215233605} a - \frac{877439144164}{215233605} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 344 a + 160\) , \( 576 a - 7776\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(344a+160\right){x}+576a-7776$ |
14400.6-m3 |
14400.6-m |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{14} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.607023537$ |
2.928391727 |
\( -\frac{4124709472}{3515625} a - \frac{5875495952}{3515625} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 145\) , \( -169 a + 764\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-145\right){x}-169a+764$ |
14400.6-m4 |
14400.6-m |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
14400.6 |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{8} \) |
$3.24658$ |
$(-a), (a-1), (a-2), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.607023537$ |
2.928391727 |
\( \frac{8006528}{164025} a - \frac{266904752}{164025} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -36 a + 120\) , \( -288 a - 288\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-36a+120\right){x}-288a-288$ |
*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.