| 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 |
| 26136.4-a1 |
26136.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{13} \cdot 11^{3} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.626166566$ |
$1.098766206$ |
3.891976042 |
\( -\frac{5078392}{81} a - \frac{6835132}{81} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( -14 a - 91\) , \( -103 a - 308\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-14a-91\right){x}-103a-308$ |
| 26136.4-a2 |
26136.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 11^{3} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.313083283$ |
$2.197532413$ |
3.891976042 |
\( \frac{1984}{9} a + \frac{8656}{9} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( -4 a - 6\) , \( 3 a - 1\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-4a-6\right){x}+3a-1$ |
| 26136.4-b1 |
26136.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 11^{7} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.821359986$ |
2.323156866 |
\( \frac{22589696}{891} a - \frac{740368}{891} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -39 a - 123\) , \( 223 a + 521\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-39a-123\right){x}+223a+521$ |
| 26136.4-b2 |
26136.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{16} \cdot 11^{8} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.410679993$ |
2.323156866 |
\( \frac{56039072}{793881} a - \frac{40480828}{793881} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -79 a + 32\) , \( 244 a + 1937\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-79a+32\right){x}+244a+1937$ |
| 26136.4-b3 |
26136.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{16} \cdot 11^{14} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.102669998$ |
2.323156866 |
\( -\frac{3930095569223}{1406408618241} a + \frac{2327225875022276}{1406408618241} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -2509 a + 2642\) , \( -15218 a + 6041\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-2509a+2642\right){x}-15218a+6041$ |
| 26136.4-b4 |
26136.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{23} \cdot 11^{7} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.205339996$ |
2.323156866 |
\( -\frac{4055344404392}{473513931} a + \frac{4445178666166}{473513931} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 1081 a + 982\) , \( -2274 a + 27757\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(1081a+982\right){x}-2274a+27757$ |
| 26136.4-b5 |
26136.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 11^{10} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{6} \) |
$1$ |
$0.205339996$ |
2.323156866 |
\( -\frac{51003968344}{395307} a + \frac{263218165102}{1185921} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -1879 a + 1562\) , \( 1306 a + 66701\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-1879a+1562\right){x}+1306a+66701$ |
| 26136.4-b6 |
26136.4-b |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{10} \cdot 11^{8} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.102669998$ |
2.323156866 |
\( -\frac{62162605080569}{1089} a + \frac{5676809732356}{363} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -30049 a + 24962\) , \( 46918 a + 4226897\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-30049a+24962\right){x}+46918a+4226897$ |
| 26136.4-c1 |
26136.4-c |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{20} \cdot 11^{3} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.208173833$ |
$0.640301257$ |
4.376115435 |
\( \frac{114480083}{531441} a + \frac{818126558}{531441} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -57 a - 78\) , \( 110 a - 71\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-57a-78\right){x}+110a-71$ |
| 26136.4-c2 |
26136.4-c |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 11^{3} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.604086916$ |
$1.280602514$ |
4.376115435 |
\( -\frac{185756}{729} a + \frac{1367746}{729} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 13 a + 22\) , \( 22 a - 27\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(13a+22\right){x}+22a-27$ |
| 26136.4-d1 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{22} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.766583000$ |
$0.316416343$ |
5.488492471 |
\( \frac{207646}{6561} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 31 a - 121\) , \( -2488 a - 2074\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(31a-121\right){x}-2488a-2074$ |
| 26136.4-d2 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.533166001$ |
$1.265665374$ |
5.488492471 |
\( \frac{2048}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 21\) , \( -25 a - 14\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-21\right){x}-25a-14$ |
| 26136.4-d3 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.766583000$ |
$1.265665374$ |
5.488492471 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -9 a + 34\) , \( 25 a + 31\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a+34\right){x}+25a+31$ |
| 26136.4-d4 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.383291500$ |
$0.632832687$ |
5.488492471 |
\( \frac{1556068}{81} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -49 a + 189\) , \( -710 a - 524\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-49a+189\right){x}-710a-524$ |
| 26136.4-d5 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{26} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1.533166001$ |
$0.158208171$ |
5.488492471 |
\( -\frac{2327042746553}{43046721} a + \frac{2081263802600}{43046721} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -1499 a - 3721\) , \( -51754 a - 78790\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-1499a-3721\right){x}-51754a-78790$ |
| 26136.4-d6 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{26} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1.533166001$ |
$0.158208171$ |
5.488492471 |
\( \frac{2327042746553}{43046721} a + \frac{2081263802600}{43046721} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 2841 a - 1481\) , \( -72614 a - 24638\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2841a-1481\right){x}-72614a-24638$ |
| 26136.4-d7 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.383291500$ |
$0.632832687$ |
5.488492471 |
\( \frac{28756228}{3} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -129 a + 499\) , \( 2692 a + 2356\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-129a+499\right){x}+2692a+2356$ |
| 26136.4-d8 |
26136.4-d |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 11^{6} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$0.766583000$ |
$0.316416343$ |
5.488492471 |
\( \frac{3065617154}{9} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -769 a + 2979\) , \( -43172 a - 34454\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-769a+2979\right){x}-43172a-34454$ |
| 26136.4-e1 |
26136.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{15} \cdot 11^{7} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.370611591$ |
2.096495754 |
\( -\frac{13413648856}{72171} a - \frac{23280322628}{72171} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -550 a + 632\) , \( 1736 a + 11626\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-550a+632\right){x}+1736a+11626$ |
| 26136.4-e2 |
26136.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{7} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.741223182$ |
2.096495754 |
\( \frac{913408}{99} a - \frac{7223296}{99} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -118 a - 85\) , \( -639 a + 36\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-118a-85\right){x}-639a+36$ |
| 26136.4-e3 |
26136.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 11^{8} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.741223182$ |
2.096495754 |
\( \frac{2459968}{9801} a + \frac{3808592}{9801} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -40 a + 17\) , \( 122 a + 184\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-40a+17\right){x}+122a+184$ |
| 26136.4-e4 |
26136.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 11^{10} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.370611591$ |
2.096495754 |
\( -\frac{2105940088}{1185921} a + \frac{5122597532}{1185921} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 310 a + 22\) , \( 1224 a + 2720\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(310a+22\right){x}+1224a+2720$ |
| 26136.4-e5 |
26136.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 11^{14} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.185305795$ |
2.096495754 |
\( \frac{10260913451974}{1929229929} a + \frac{18851513111998}{1929229929} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 1480 a - 428\) , \( -22644 a - 14236\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1480a-428\right){x}-22644a-14236$ |
| 26136.4-e6 |
26136.4-e |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{15} \cdot 11^{8} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.185305795$ |
2.096495754 |
\( -\frac{10085654446822}{793881} a + \frac{4823425815026}{793881} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 4740 a + 552\) , \( 92900 a + 170740\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4740a+552\right){x}+92900a+170740$ |
| 26136.4-f1 |
26136.4-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{9} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.573811937$ |
3.245970495 |
\( -\frac{5078392}{81} a - \frac{6835132}{81} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 177 a - 233\) , \( 1746 a - 724\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(177a-233\right){x}+1746a-724$ |
| 26136.4-f2 |
26136.4-f |
$2$ |
$2$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 11^{9} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.147623874$ |
3.245970495 |
\( \frac{1984}{9} a + \frac{8656}{9} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 7 a - 28\) , \( 37 a + 45\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(7a-28\right){x}+37a+45$ |
| 26136.4-g1 |
26136.4-g |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 11^{8} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.405572232$ |
3.441394506 |
\( -\frac{4967936000}{3267} a - \frac{3971840000}{3267} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 754 a - 197\) , \( 8277 a + 7292\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(754a-197\right){x}+8277a+7292$ |
| 26136.4-g2 |
26136.4-g |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{22} \cdot 11^{8} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \cdot 3 \) |
$1$ |
$0.202786116$ |
3.441394506 |
\( -\frac{284393305000}{64304361} a - \frac{1198243574500}{64304361} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 828 a + 1554\) , \( -14420 a + 28916\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(828a+1554\right){x}-14420a+28916$ |
| 26136.4-g3 |
26136.4-g |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{32} \cdot 11^{7} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.101393058$ |
3.441394506 |
\( -\frac{1459273578764750}{3106724901291} a - \frac{1018765894201250}{3106724901291} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -1282 a + 2924\) , \( 29980 a + 124760\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-1282a+2924\right){x}+29980a+124760$ |
| 26136.4-g4 |
26136.4-g |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 11^{10} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.405572232$ |
3.441394506 |
\( \frac{9488024000}{10673289} a - \frac{1228270000}{10673289} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 178 a - 11\) , \( -1360 a - 456\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(178a-11\right){x}-1360a-456$ |
| 26136.4-g5 |
26136.4-g |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 11^{14} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.202786116$ |
3.441394506 |
\( -\frac{13269662965000}{5787689787} a + \frac{2282192505500}{5787689787} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -632 a - 956\) , \( -10000 a - 12714\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-632a-956\right){x}-10000a-12714$ |
| 26136.4-g6 |
26136.4-g |
$6$ |
$8$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
26136.4 |
\( 2^{3} \cdot 3^{3} \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{20} \cdot 11^{7} \) |
$3.21361$ |
$(a), (-a-1), (a-1), (a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.101393058$ |
3.441394506 |
\( \frac{12370241948750}{72171} a + \frac{24249054399250}{72171} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 13338 a + 25224\) , \( -874820 a + 1779560\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(13338a+25224\right){x}-874820a+1779560$ |
*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.
