| 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 |
| 83200.4-a1 |
83200.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{9} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$0.999003279$ |
0.999003279 |
\( -\frac{2748427984}{2640625} a - \frac{11991538912}{2640625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 54 i - 23\) , \( -205 i - 15\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(54i-23\right){x}-205i-15$ |
| 83200.4-a2 |
83200.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$1.998006558$ |
0.999003279 |
\( \frac{235781632}{203125} a - \frac{581310976}{203125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -i - 13\) , \( -i - 18\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-i-13\right){x}-i-18$ |
| 83200.4-b1 |
83200.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{2} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$0.881539727$ |
$0.908401004$ |
3.203166298 |
\( -\frac{20495155188}{65} a - \frac{8487681272}{65} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -320 i + 214\) , \( 390 i + 2820\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-320i+214\right){x}+390i+2820$ |
| 83200.4-b2 |
83200.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{5} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.881539727$ |
$3.633604018$ |
3.203166298 |
\( \frac{458752}{8125} a - \frac{475136}{8125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1\) , \( i + 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-{x}+i+3$ |
| 83200.4-b3 |
83200.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{5} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.881539727$ |
$0.908401004$ |
3.203166298 |
\( \frac{35489900276}{17850625} a + \frac{49849741768}{17850625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -40 i + 54\) , \( -114 i - 132\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-40i+54\right){x}-114i-132$ |
| 83200.4-b4 |
83200.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{4} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.440769863$ |
$1.816802009$ |
3.203166298 |
\( -\frac{64858368}{4225} a + \frac{9306736}{845} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -20 i + 14\) , \( 10 i + 40\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-20i+14\right){x}+10i+40$ |
| 83200.4-c1 |
83200.4-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{3} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.190165251$ |
1.190165251 |
\( -\frac{363114750592}{4225} a - \frac{51978449984}{4225} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -146 i + 127\) , \( 299 i + 907\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-146i+127\right){x}+299i+907$ |
| 83200.4-c2 |
83200.4-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{12} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.297541312$ |
1.190165251 |
\( \frac{139247548851818}{5078125} a - \frac{4765670334626}{5078125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 1266 i - 2413\) , \( 35089 i - 40603\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(1266i-2413\right){x}+35089i-40603$ |
| 83200.4-c3 |
83200.4-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{3} \cdot 13^{8} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.595082625$ |
1.190165251 |
\( \frac{4367603145928}{20393268025} a + \frac{514683042256}{20393268025} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( -14 i + 67\) , \( 515 i - 269\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(-14i+67\right){x}+515i-269$ |
| 83200.4-c4 |
83200.4-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{18} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.297541312$ |
1.190165251 |
\( -\frac{778063252549418}{1983642578125} a + \frac{463325304434674}{1983642578125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -294 i + 187\) , \( 3641 i - 2963\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-294i+187\right){x}+3641i-2963$ |
| 83200.4-c5 |
83200.4-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{12} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.595082625$ |
1.190165251 |
\( \frac{246826028856}{66015625} a + \frac{291128921792}{66015625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 86 i - 153\) , \( 405 i - 615\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(86i-153\right){x}+405i-615$ |
| 83200.4-c6 |
83200.4-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{6} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.190165251$ |
1.190165251 |
\( -\frac{125379433344}{17850625} a + \frac{122487180992}{17850625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 36 i - 33\) , \( -145 i + 29\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(36i-33\right){x}-145i+29$ |
| 83200.4-d1 |
83200.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{3} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.257124254$ |
$3.197674831$ |
4.019874589 |
\( -\frac{43261952}{325} a - \frac{129542144}{325} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -14 i + 2\) , \( -5 i + 20\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-14i+2\right){x}-5i+20$ |
| 83200.4-d2 |
83200.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.257124254$ |
$0.799418707$ |
4.019874589 |
\( \frac{329359844912}{5078125} a - \frac{470870678516}{5078125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -94 i + 147\) , \( -511 i - 683\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-94i+147\right){x}-511i-683$ |
| 83200.4-d3 |
83200.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.628562127$ |
$1.598837415$ |
4.019874589 |
\( -\frac{34602624}{105625} a + \frac{89434832}{105625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -14 i + 7\) , \( -15 i + 9\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-14i+7\right){x}-15i+9$ |
| 83200.4-d4 |
83200.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{6} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.257124254$ |
$0.799418707$ |
4.019874589 |
\( \frac{17012483856}{17850625} a + \frac{53748185108}{17850625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 66 i - 53\) , \( -239 i + 77\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(66i-53\right){x}-239i+77$ |
| 83200.4-d5 |
83200.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13^{8} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.514248509$ |
$0.399709353$ |
4.019874589 |
\( -\frac{263319363133844}{20393268025} a + \frac{443594369492878}{20393268025} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 466 i - 253\) , \( 4321 i + 197\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(466i-253\right){x}+4321i+197$ |
| 83200.4-d6 |
83200.4-d |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{9} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.514248509$ |
$0.399709353$ |
4.019874589 |
\( \frac{286134796876244}{66015625} a + \frac{251971335359842}{66015625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 946 i - 813\) , \( -16895 i + 4629\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(946i-813\right){x}-16895i+4629$ |
| 83200.4-e1 |
83200.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.212541615$ |
$0.903296300$ |
6.143617759 |
\( -\frac{198331340508}{5078125} a - \frac{151472149956}{5078125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 24 i + 115\) , \( 474 i - 144\bigr] \) |
${y}^2={x}^{3}+\left(24i+115\right){x}+474i-144$ |
| 83200.4-e2 |
83200.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.212541615$ |
$1.806592600$ |
6.143617759 |
\( -\frac{25824096}{105625} a + \frac{7000128}{105625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6 i + 5\) , \( 12 i - 18\bigr] \) |
${y}^2={x}^{3}+\left(-6i+5\right){x}+12i-18$ |
| 83200.4-e3 |
83200.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{6} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.212541615$ |
$1.806592600$ |
6.143617759 |
\( \frac{48428928}{8125} a + \frac{51784704}{8125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -6 i + 20\) , \( -32 i - 12\bigr] \) |
${y}^2={x}^{3}+\left(-6i+20\right){x}-32i-12$ |
| 83200.4-e4 |
83200.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{3} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.850166462$ |
$0.903296300$ |
6.143617759 |
\( \frac{260253708588}{714025} a + \frac{22461501636}{714025} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -156 i + 55\) , \( 222 i - 788\bigr] \) |
${y}^2={x}^{3}+\left(-156i+55\right){x}+222i-788$ |
| 83200.4-f1 |
83200.4-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{2} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.568883555$ |
$1.318668958$ |
4.137676089 |
\( -\frac{2688898656}{142805} a - \frac{862005640}{28561} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 4 i - 52\) , \( 36 i - 144\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(4i-52\right){x}+36i-144$ |
| 83200.4-f2 |
83200.4-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{5} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.568883555$ |
$1.318668958$ |
4.137676089 |
\( \frac{5310770528}{8125} a - \frac{31169096}{8125} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 84 i - 12\) , \( -248 i - 136\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(84i-12\right){x}-248i-136$ |
| 83200.4-f3 |
83200.4-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.784441777$ |
$2.637337917$ |
4.137676089 |
\( -\frac{365568}{845} a + \frac{15296}{4225} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 4 i - 2\) , \( -4 i - 4\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(4i-2\right){x}-4i-4$ |
| 83200.4-f4 |
83200.4-f |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{5} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.392220888$ |
$2.637337917$ |
4.137676089 |
\( \frac{47199232}{8125} a + \frac{28268224}{8125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 4 i - 8\) , \( -4 i + 6\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(4i-8\right){x}-4i+6$ |
| 83200.4-g1 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{4} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.596100978$ |
2.384403914 |
\( \frac{6278960157372}{3570125} a - \frac{12247085251904}{3570125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -316 i + 428\) , \( 2880 i + 3960\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-316i+428\right){x}+2880i+3960$ |
| 83200.4-g2 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{7} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.384403914$ |
2.384403914 |
\( \frac{109985792}{8125} a - \frac{102465536}{8125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 4 i + 13\) , \( -14 i + 8\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(4i+13\right){x}-14i+8$ |
| 83200.4-g3 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{4} \cdot 13^{12} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.198700326$ |
2.384403914 |
\( \frac{40605232846917732}{2912260640310125} a + \frac{15507117639303424}{2912260640310125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 44 i - 252\) , \( 10848 i + 12856\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(44i-252\right){x}+10848i+12856$ |
| 83200.4-g4 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
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 |
\( -\frac{4789923264}{2640625} a + \frac{673064048}{2640625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -16 i + 28\) , \( 40 i + 80\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-16i+28\right){x}+40i+80$ |
| 83200.4-g5 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{13} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.596100978$ |
2.384403914 |
\( \frac{6814517046148}{3173828125} a + \frac{1205241786064}{3173828125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -36 i - 132\) , \( 416 i + 488\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-36i-132\right){x}+416i+488$ |
| 83200.4-g6 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 5^{13} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.794801304$ |
2.384403914 |
\( \frac{107236037214208}{536376953125} a + \frac{978770751225856}{536376953125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -36 i - 67\) , \( -106 i - 16\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-36i-67\right){x}-106i-16$ |
| 83200.4-g7 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{6} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
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 |
\( -\frac{4259875740810816}{75418890625} a + \frac{6940682724261488}{75418890625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -256 i - 652\) , \( 3528 i + 6096\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-256i-652\right){x}+3528i+6096$ |
| 83200.4-g8 |
83200.4-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{7} \cdot 13^{3} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.198700326$ |
2.384403914 |
\( -\frac{14159685840327748}{1373125} a + \frac{7060801251114256}{1373125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -4076 i - 10412\) , \( 238144 i + 386984\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-4076i-10412\right){x}+238144i+386984$ |
| 83200.4-h1 |
83200.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{21} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.116586819$ |
1.865389104 |
\( -\frac{5902524640027313604}{25787353515625} a - \frac{17458442273116133428}{25787353515625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 10064 i + 4422\) , \( -75890 i - 439620\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(10064i+4422\right){x}-75890i-439620$ |
| 83200.4-h2 |
83200.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{9} \cdot 13^{8} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.233173638$ |
1.865389104 |
\( \frac{136627712541908608}{2549158503125} a - \frac{131615581472790016}{2549158503125} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -1746 i + 753\) , \( 5071 i - 32314\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-1746i+753\right){x}+5071i-32314$ |
| 83200.4-h3 |
83200.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 5^{18} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.233173638$ |
1.865389104 |
\( -\frac{166394111954976}{278916015625} a + \frac{248168804407232}{278916015625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 734 i + 112\) , \( 2778 i - 7044\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(734i+112\right){x}+2778i-7044$ |
| 83200.4-h4 |
83200.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{19} \cdot 5^{24} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.116586819$ |
1.865389104 |
\( \frac{22235429572742073604}{16117095947265625} a + \frac{39588651206794421572}{16117095947265625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -3836 i + 602\) , \( 19454 i - 67076\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-3836i+602\right){x}+19454i-67076$ |
| 83200.4-i1 |
83200.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{23} \cdot 5^{12} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.521237054$ |
$0.547209762$ |
4.563616075 |
\( -\frac{9444181087}{5078125} a - \frac{27239930291}{5078125} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -76 i + 188\) , \( 972 i + 704\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-76i+188\right){x}+972i+704$ |
| 83200.4-i2 |
83200.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{20} \cdot 5^{3} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.521237054$ |
$2.188839048$ |
4.563616075 |
\( \frac{742336}{325} a - \frac{1455092}{325} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 4 i - 12\) , \( 12 i - 16\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(4i-12\right){x}+12i-16$ |
| 83200.4-i3 |
83200.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.042474109$ |
$1.094419524$ |
4.563616075 |
\( -\frac{18633174}{105625} a - \frac{189312232}{105625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -36 i - 12\) , \( 124 i - 48\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-36i-12\right){x}+124i-48$ |
| 83200.4-i4 |
83200.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{23} \cdot 5^{3} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.521237054$ |
$0.547209762$ |
4.563616075 |
\( \frac{638644309683}{714025} a + \frac{4298451328199}{714025} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -636 i - 212\) , \( 6444 i - 2208\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-636i-212\right){x}+6444i-2208$ |
| 83200.4-j1 |
83200.4-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{7} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.886088623$ |
$0.309132246$ |
4.664406505 |
\( \frac{306369913373848}{17850625} a - \frac{2142057330263024}{17850625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 1338 i - 2665\) , \( 39817 i - 49361\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(1338i-2665\right){x}+39817i-49361$ |
| 83200.4-j2 |
83200.4-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{19} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.471522155$ |
$0.309132246$ |
4.664406505 |
\( -\frac{383712134285368}{1983642578125} a - \frac{480402061726976}{1983642578125} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -282 i - 5\) , \( 4025 i - 2005\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-282i-5\right){x}+4025i-2005$ |
| 83200.4-j3 |
83200.4-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{14} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.943044311$ |
$0.618264492$ |
4.664406505 |
\( \frac{723822505344}{66015625} a + \frac{100772067008}{66015625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 88 i - 165\) , \( 567 i - 861\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(88i-165\right){x}+567i-861$ |
| 83200.4-j4 |
83200.4-j |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{16} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.886088623$ |
$0.618264492$ |
4.664406505 |
\( -\frac{11876976934272}{3173828125} a + \frac{5317173197504}{3173828125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -130 i + 75\) , \( -75 i + 675\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-130i+75\right){x}-75i+675$ |
| 83200.4-k1 |
83200.4-k |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{3} \cdot 13^{4} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.270130509$ |
$1.962588867$ |
4.985487994 |
\( -\frac{170823808}{714025} a + \frac{756097984}{714025} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -10 i - 5\) , \( 5 i + 15\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-10i-5\right){x}+5i+15$ |
| 83200.4-k2 |
83200.4-k |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 5^{6} \cdot 13^{2} \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.635065254$ |
$1.962588867$ |
4.985487994 |
\( \frac{54739584}{105625} a + \frac{278314688}{105625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -12 i - 5\) , \( -17 i + 7\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-12i-5\right){x}-17i+7$ |
| 83200.4-k3 |
83200.4-k |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{9} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.317532627$ |
$0.981294433$ |
4.985487994 |
\( -\frac{72142218728}{5078125} a + \frac{166548601504}{5078125} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -82 i - 45\) , \( 301 i + 3\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-82i-45\right){x}+301i+3$ |
| 83200.4-k4 |
83200.4-k |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
83200.4 |
\( 2^{8} \cdot 5^{2} \cdot 13 \) |
\( 2^{18} \cdot 5^{6} \cdot 13 \) |
$3.03528$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.270130509$ |
$0.981294433$ |
4.985487994 |
\( \frac{16041806568}{8125} a + \frac{23413439024}{8125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -182 i - 65\) , \( 1083 i - 319\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-182i-65\right){x}+1083i-319$ |
*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.
