| 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 |
| 83200.3-a1 |
83200.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{9} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.999003279$ |
0.999003279 |
\( \frac{2748427984}{2640625} a - \frac{11991538912}{2640625} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( -54 i - 23\) , \( -205 i + 15\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(-54i-23\right){x}-205i+15$ |
| 83200.3-a2 |
83200.3-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$1.998006558$ |
0.999003279 |
\( -\frac{235781632}{203125} a - \frac{581310976}{203125} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( i - 13\) , \( -i + 18\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(i-13\right){x}-i+18$ |
| 83200.3-b1 |
83200.3-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{2} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$0.881539727$ |
$0.908401004$ |
3.203166298 |
\( \frac{20495155188}{65} a - \frac{8487681272}{65} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 320 i + 214\) , \( 390 i - 2820\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(320i+214\right){x}+390i-2820$ |
| 83200.3-b2 |
83200.3-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{5} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.881539727$ |
$3.633604018$ |
3.203166298 |
\( -\frac{458752}{8125} a - \frac{475136}{8125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1\) , \( i - 3\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-{x}+i-3$ |
| 83200.3-b3 |
83200.3-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{5} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.881539727$ |
$0.908401004$ |
3.203166298 |
\( -\frac{35489900276}{17850625} a + \frac{49849741768}{17850625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 40 i + 54\) , \( -114 i + 132\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(40i+54\right){x}-114i+132$ |
| 83200.3-b4 |
83200.3-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{4} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.440769863$ |
$1.816802009$ |
3.203166298 |
\( \frac{64858368}{4225} a + \frac{9306736}{845} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 20 i + 14\) , \( 10 i - 40\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(20i+14\right){x}+10i-40$ |
| 83200.3-c1 |
83200.3-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{3} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.190165251$ |
1.190165251 |
\( \frac{363114750592}{4225} a - \frac{51978449984}{4225} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 146 i + 127\) , \( 299 i - 907\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(146i+127\right){x}+299i-907$ |
| 83200.3-c2 |
83200.3-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{12} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.297541312$ |
1.190165251 |
\( -\frac{139247548851818}{5078125} a - \frac{4765670334626}{5078125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -1266 i - 2413\) , \( -35089 i - 40603\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-1266i-2413\right){x}-35089i-40603$ |
| 83200.3-c3 |
83200.3-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{3} \cdot 13^{8} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.595082625$ |
1.190165251 |
\( -\frac{4367603145928}{20393268025} a + \frac{514683042256}{20393268025} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 14 i + 67\) , \( -515 i - 269\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(14i+67\right){x}-515i-269$ |
| 83200.3-c4 |
83200.3-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{18} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.297541312$ |
1.190165251 |
\( \frac{778063252549418}{1983642578125} a + \frac{463325304434674}{1983642578125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 294 i + 187\) , \( -3641 i - 2963\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(294i+187\right){x}-3641i-2963$ |
| 83200.3-c5 |
83200.3-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{12} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.595082625$ |
1.190165251 |
\( -\frac{246826028856}{66015625} a + \frac{291128921792}{66015625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -86 i - 153\) , \( -405 i - 615\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-86i-153\right){x}-405i-615$ |
| 83200.3-c6 |
83200.3-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{6} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.190165251$ |
1.190165251 |
\( \frac{125379433344}{17850625} a + \frac{122487180992}{17850625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -36 i - 33\) , \( 145 i + 29\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-36i-33\right){x}+145i+29$ |
| 83200.3-d1 |
83200.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{3} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.257124254$ |
$3.197674831$ |
4.019874589 |
\( \frac{43261952}{325} a - \frac{129542144}{325} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 14 i + 2\) , \( 5 i + 20\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(14i+2\right){x}+5i+20$ |
| 83200.3-d2 |
83200.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.257124254$ |
$0.799418707$ |
4.019874589 |
\( -\frac{329359844912}{5078125} a - \frac{470870678516}{5078125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 94 i + 147\) , \( 511 i - 683\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(94i+147\right){x}+511i-683$ |
| 83200.3-d3 |
83200.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.628562127$ |
$1.598837415$ |
4.019874589 |
\( \frac{34602624}{105625} a + \frac{89434832}{105625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 14 i + 7\) , \( 15 i + 9\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(14i+7\right){x}+15i+9$ |
| 83200.3-d4 |
83200.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{6} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.257124254$ |
$0.799418707$ |
4.019874589 |
\( -\frac{17012483856}{17850625} a + \frac{53748185108}{17850625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -66 i - 53\) , \( 239 i + 77\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-66i-53\right){x}+239i+77$ |
| 83200.3-d5 |
83200.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13^{8} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.514248509$ |
$0.399709353$ |
4.019874589 |
\( \frac{263319363133844}{20393268025} a + \frac{443594369492878}{20393268025} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -466 i - 253\) , \( -4321 i + 197\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-466i-253\right){x}-4321i+197$ |
| 83200.3-d6 |
83200.3-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{9} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.514248509$ |
$0.399709353$ |
4.019874589 |
\( -\frac{286134796876244}{66015625} a + \frac{251971335359842}{66015625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -946 i - 813\) , \( 16895 i + 4629\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-946i-813\right){x}+16895i+4629$ |
| 83200.3-e1 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{28} \cdot 5^{7} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.241070774$ |
1.446424644 |
\( -\frac{1411302663595036}{34328125} a - \frac{1774751413484333}{137312500} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 2584 i + 3528\) , \( 63744 i - 89568\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(2584i+3528\right){x}+63744i-89568$ |
| 83200.3-e2 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{36} \cdot 5^{5} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.723212322$ |
1.446424644 |
\( -\frac{171697}{6500} a + \frac{2279159}{104000} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 24 i + 8\) , \( 256 i - 224\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(24i+8\right){x}+256i-224$ |
| 83200.3-e3 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{25} \cdot 5^{25} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.060267693$ |
1.446424644 |
\( \frac{94290382838862669189021}{261902809143066406250} a + \frac{23228384730714798359947}{261902809143066406250} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -7576 i - 2312\) , \( 242240 i - 526880\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-7576i-2312\right){x}+242240i-526880$ |
| 83200.3-e4 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{27} \cdot 5^{14} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.180803080$ |
1.446424644 |
\( -\frac{20122730162024161}{27891601562500} a + \frac{104798752060117927}{27891601562500} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -1736 i - 152\) , \( 17536 i - 10912\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-1736i-152\right){x}+17536i-10912$ |
| 83200.3-e5 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{26} \cdot 5^{14} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.120535387$ |
1.446424644 |
\( -\frac{12415547946147007137}{2356840332031250} a + \frac{5474429230691529908}{1178420166015625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 2744 i + 3528\) , \( -66432 i + 81376\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(2744i+3528\right){x}-66432i+81376$ |
| 83200.3-e6 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{25} \cdot 5^{10} \cdot 13^{12} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.060267693$ |
1.446424644 |
\( \frac{4240925829815707588031}{728065160077531250} a + \frac{3613304062782124177817}{728065160077531250} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 15624 i + 9368\) , \( -62656 i - 885856\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(15624i+9368\right){x}-62656i-885856$ |
| 83200.3-e7 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{30} \cdot 5^{10} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.361606161$ |
1.446424644 |
\( \frac{117057737097}{21125000} a + \frac{49160487287}{2640625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -616 i + 8\) , \( -3840 i + 4320\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-616i+8\right){x}-3840i+4320$ |
| 83200.3-e8 |
83200.3-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{27} \cdot 5^{11} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.180803080$ |
1.446424644 |
\( \frac{4023422266102893}{20312500} a + \frac{5856979210600901}{20312500} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -9736 i + 168\) , \( 254592 i - 271456\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-9736i+168\right){x}+254592i-271456$ |
| 83200.3-f1 |
83200.3-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.819116749$ |
$0.718368065$ |
4.707418516 |
\( \frac{959507758902}{5078125} a - \frac{410040476086}{5078125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 184 i - 152\) , \( 1324 i - 416\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(184i-152\right){x}+1324i-416$ |
| 83200.3-f2 |
83200.3-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{3} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.819116749$ |
$2.873472262$ |
4.707418516 |
\( -\frac{24755584}{325} a - \frac{19408448}{325} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -6 i - 12\) , \( 8 i + 16\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-6i-12\right){x}+8i+16$ |
| 83200.3-f3 |
83200.3-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.409558374$ |
$1.436736131$ |
4.707418516 |
\( -\frac{11655336}{105625} a + \frac{23620448}{105625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 4 i - 12\) , \( 36 i + 8\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(4i-12\right){x}+36i+8$ |
| 83200.3-f4 |
83200.3-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{6} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.819116749$ |
$0.718368065$ |
4.707418516 |
\( \frac{36855806386}{17850625} a + \frac{134629168798}{17850625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -16 i + 128\) , \( 540 i + 80\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-16i+128\right){x}+540i+80$ |
| 83200.3-g1 |
83200.3-g |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{13} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.221790720$ |
1.832686080 |
\( \frac{22656526848}{126953125} a + \frac{214474673664}{126953125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 19 i - 25\) , \( -3 i + 22\bigr] \) |
${y}^2={x}^{3}+\left(19i-25\right){x}-3i+22$ |
| 83200.3-g2 |
83200.3-g |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{11} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.610895360$ |
1.832686080 |
\( -\frac{263814474096}{2640625} a + \frac{267727591008}{2640625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 224 i - 215\) , \( 1964 i - 734\bigr] \) |
${y}^2={x}^{3}+\left(224i-215\right){x}+1964i-734$ |
| 83200.3-h1 |
83200.3-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{3} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.026100963$ |
3.039151444 |
\( -\frac{25989150208}{54925} a - \frac{18285658624}{54925} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -21 i + 28\) , \( -37 i - 59\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-21i+28\right){x}-37i-59$ |
| 83200.3-h2 |
83200.3-h |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{3} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.013050481$ |
3.039151444 |
\( -\frac{50174047856}{120670225} a + \frac{143593937888}{120670225} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -16 i + 38\) , \( 20 i - 70\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-16i+38\right){x}+20i-70$ |
| 83200.3-i1 |
83200.3-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.212541615$ |
$0.903296300$ |
6.143617759 |
\( \frac{198331340508}{5078125} a - \frac{151472149956}{5078125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -24 i + 115\) , \( 474 i + 144\bigr] \) |
${y}^2={x}^{3}+\left(-24i+115\right){x}+474i+144$ |
| 83200.3-i2 |
83200.3-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.212541615$ |
$1.806592600$ |
6.143617759 |
\( \frac{25824096}{105625} a + \frac{7000128}{105625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6 i + 5\) , \( 12 i + 18\bigr] \) |
${y}^2={x}^{3}+\left(6i+5\right){x}+12i+18$ |
| 83200.3-i3 |
83200.3-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{6} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.212541615$ |
$1.806592600$ |
6.143617759 |
\( -\frac{48428928}{8125} a + \frac{51784704}{8125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 6 i + 20\) , \( 32 i - 12\bigr] \) |
${y}^2={x}^{3}+\left(6i+20\right){x}+32i-12$ |
| 83200.3-i4 |
83200.3-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{3} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.850166462$ |
$0.903296300$ |
6.143617759 |
\( -\frac{260253708588}{714025} a + \frac{22461501636}{714025} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 156 i + 55\) , \( 222 i + 788\bigr] \) |
${y}^2={x}^{3}+\left(156i+55\right){x}+222i+788$ |
| 83200.3-j1 |
83200.3-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{2} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.568883555$ |
$1.318668958$ |
4.137676089 |
\( \frac{2688898656}{142805} a - \frac{862005640}{28561} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -4 i - 52\) , \( -36 i - 144\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-4i-52\right){x}-36i-144$ |
| 83200.3-j2 |
83200.3-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{5} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.568883555$ |
$1.318668958$ |
4.137676089 |
\( -\frac{5310770528}{8125} a - \frac{31169096}{8125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -84 i - 12\) , \( 248 i - 136\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-84i-12\right){x}+248i-136$ |
| 83200.3-j3 |
83200.3-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.784441777$ |
$2.637337917$ |
4.137676089 |
\( \frac{365568}{845} a + \frac{15296}{4225} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -4 i - 2\) , \( 4 i - 4\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-4i-2\right){x}+4i-4$ |
| 83200.3-j4 |
83200.3-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{5} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.392220888$ |
$2.637337917$ |
4.137676089 |
\( -\frac{47199232}{8125} a + \frac{28268224}{8125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4 i - 8\) , \( -4 i - 6\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-4i-8\right){x}-4i-6$ |
| 83200.3-k1 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{4} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.596100978$ |
2.384403914 |
\( -\frac{6278960157372}{3570125} a - \frac{12247085251904}{3570125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 316 i + 428\) , \( 2880 i - 3960\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(316i+428\right){x}+2880i-3960$ |
| 83200.3-k2 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.384403914$ |
2.384403914 |
\( -\frac{109985792}{8125} a - \frac{102465536}{8125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -4 i + 13\) , \( -14 i - 8\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-4i+13\right){x}-14i-8$ |
| 83200.3-k3 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{4} \cdot 13^{12} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.198700326$ |
2.384403914 |
\( -\frac{40605232846917732}{2912260640310125} a + \frac{15507117639303424}{2912260640310125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -44 i - 252\) , \( 10848 i - 12856\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-44i-252\right){x}+10848i-12856$ |
| 83200.3-k4 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.192201957$ |
2.384403914 |
\( \frac{4789923264}{2640625} a + \frac{673064048}{2640625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 16 i + 28\) , \( 40 i - 80\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(16i+28\right){x}+40i-80$ |
| 83200.3-k5 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{13} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.596100978$ |
2.384403914 |
\( -\frac{6814517046148}{3173828125} a + \frac{1205241786064}{3173828125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 36 i - 132\) , \( 416 i - 488\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(36i-132\right){x}+416i-488$ |
| 83200.3-k6 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{13} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.794801304$ |
2.384403914 |
\( -\frac{107236037214208}{536376953125} a + \frac{978770751225856}{536376953125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 36 i - 67\) , \( -106 i + 16\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(36i-67\right){x}-106i+16$ |
| 83200.3-k7 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.397400652$ |
2.384403914 |
\( \frac{4259875740810816}{75418890625} a + \frac{6940682724261488}{75418890625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 256 i - 652\) , \( 3528 i - 6096\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(256i-652\right){x}+3528i-6096$ |
| 83200.3-k8 |
83200.3-k |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.3 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{7} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.198700326$ |
2.384403914 |
\( \frac{14159685840327748}{1373125} a + \frac{7060801251114256}{1373125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 4076 i - 10412\) , \( 238144 i - 386984\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(4076i-10412\right){x}+238144i-386984$ |
*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.
