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 |
882.1-a1 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{2} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$12.07873502$ |
2.135238861 |
\( -\frac{7189057}{16128} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -4\) , \( 5\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-4{x}+5$ |
882.1-a2 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7^{20} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.188730234$ |
2.135238861 |
\( -\frac{1700921006729998152378353}{598192750252818} a + \frac{133636975245726467337960}{33232930569601} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 5085 a - 7394\) , \( 232452 a - 355327\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(5085a-7394\right){x}+232452a-355327$ |
882.1-a3 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{32} \cdot 7^{4} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.754920939$ |
2.135238861 |
\( \frac{6359387729183}{4218578658} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 386\) , \( 1277\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+386{x}+1277$ |
882.1-a4 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 7^{8} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$3.019683757$ |
2.135238861 |
\( \frac{124475734657}{63011844} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -104\) , \( 101\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-104{x}+101$ |
882.1-a5 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 7^{16} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$0.754920939$ |
2.135238861 |
\( \frac{84448510979617}{933897762} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -914\) , \( -10915\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-914{x}-10915$ |
882.1-a6 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{4} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$12.07873502$ |
2.135238861 |
\( \frac{65597103937}{63504} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -84\) , \( 261\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-84{x}+261$ |
882.1-a7 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7^{20} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.188730234$ |
2.135238861 |
\( \frac{1700921006729998152378353}{598192750252818} a + \frac{133636975245726467337960}{33232930569601} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -5085 a - 7394\) , \( -232452 a - 355327\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-5085a-7394\right){x}-232452a-355327$ |
882.1-a8 |
882.1-a |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$12.07873502$ |
2.135238861 |
\( \frac{268498407453697}{252} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1344\) , \( 18405\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1344{x}+18405$ |
882.1-b1 |
882.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{4} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$6.130830253$ |
2.167575823 |
\( \frac{2655587}{3087} a + \frac{179831}{2058} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( a - 1\) , \( a - 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(a-1\right){x}+a-1$ |
882.1-b2 |
882.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{8} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$6.130830253$ |
2.167575823 |
\( -\frac{780255600743}{705894} a + \frac{552523185269}{352947} \) |
\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 16 a - 31\) , \( 49 a - 67\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(16a-31\right){x}+49a-67$ |
882.1-c1 |
882.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{4} \cdot 7^{6} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.980796834$ |
1.053870827 |
\( -\frac{1654553343595}{154893312} a - \frac{1493179606537}{103262208} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -52 a - 36\) , \( 190 a + 176\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-52a-36\right){x}+190a+176$ |
882.1-c2 |
882.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 7^{12} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.980796834$ |
1.053870827 |
\( \frac{17609102787747678607}{54235247808} a + \frac{12451626415479149645}{27117623904} \) |
\( \bigl[a + 1\) , \( -a\) , \( 1\) , \( -532 a - 996\) , \( 10366 a + 13424\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-532a-996\right){x}+10366a+13424$ |
882.1-d1 |
882.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{4} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$6.130830253$ |
2.167575823 |
\( -\frac{2655587}{3087} a + \frac{179831}{2058} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -2 a - 1\) , \( -a - 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-1\right){x}-a-1$ |
882.1-d2 |
882.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{8} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$6.130830253$ |
2.167575823 |
\( \frac{780255600743}{705894} a + \frac{552523185269}{352947} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -17 a - 31\) , \( -49 a - 67\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-17a-31\right){x}-49a-67$ |
882.1-e1 |
882.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{22} \cdot 3^{4} \cdot 7^{6} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.980796834$ |
1.053870827 |
\( \frac{1654553343595}{154893312} a - \frac{1493179606537}{103262208} \) |
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 51 a - 36\) , \( -190 a + 176\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(51a-36\right){x}-190a+176$ |
882.1-e2 |
882.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 7^{12} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.980796834$ |
1.053870827 |
\( -\frac{17609102787747678607}{54235247808} a + \frac{12451626415479149645}{27117623904} \) |
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 531 a - 996\) , \( -10366 a + 13424\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(531a-996\right){x}-10366a+13424$ |
882.1-f1 |
882.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.130451768$ |
$17.23629450$ |
1.589933200 |
\( -\frac{99733}{147} a + \frac{771443}{588} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 2 a - 4\) , \( 4 a - 6\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-4\right){x}+4a-6$ |
882.1-f2 |
882.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.065225884$ |
$17.23629450$ |
1.589933200 |
\( -\frac{384494749}{21609} a + \frac{150700299}{4802} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -18 a - 27\) , \( 51 a + 72\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-18a-27\right){x}+51a+72$ |
882.1-f3 |
882.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{8} \cdot 7^{9} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.130451768$ |
$4.309073625$ |
1.589933200 |
\( \frac{127949540041}{34588806} a + \frac{2442796570097}{466948881} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -3 a - 4\) , \( -213 a + 292\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-3a-4\right){x}-213a+292$ |
882.1-f4 |
882.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{6} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.130451768$ |
$17.23629450$ |
1.589933200 |
\( -\frac{15707330441833}{14406} a + \frac{11319802754221}{7203} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( -273 a - 417\) , \( 3189 a + 4560\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-273a-417\right){x}+3189a+4560$ |
882.1-g1 |
882.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( - 2 \cdot 3^{8} \cdot 7^{9} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.130451768$ |
$4.309073625$ |
1.589933200 |
\( -\frac{127949540041}{34588806} a + \frac{2442796570097}{466948881} \) |
\( \bigl[a + 1\) , \( 1\) , \( a\) , \( 2 a - 4\) , \( 213 a + 292\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2a-4\right){x}+213a+292$ |
882.1-g2 |
882.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.130451768$ |
$17.23629450$ |
1.589933200 |
\( \frac{99733}{147} a + \frac{771443}{588} \) |
\( \bigl[a + 1\) , \( 1\) , \( a\) , \( -3 a - 4\) , \( -4 a - 6\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-3a-4\right){x}-4a-6$ |
882.1-g3 |
882.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.065225884$ |
$17.23629450$ |
1.589933200 |
\( \frac{384494749}{21609} a + \frac{150700299}{4802} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 18 a - 27\) , \( -51 a + 72\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(18a-27\right){x}-51a+72$ |
882.1-g4 |
882.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
882.1 |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{6} \) |
$1.37737$ |
$(a), (-2a+1), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.130451768$ |
$17.23629450$ |
1.589933200 |
\( \frac{15707330441833}{14406} a + \frac{11319802754221}{7203} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( 273 a - 417\) , \( -3189 a + 4560\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(273a-417\right){x}-3189a+4560$ |
*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.