| 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 |
| 15488.5-a1 |
15488.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{6} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.440423686$ |
$0.901434118$ |
2.400908571 |
\( \frac{92394174795}{29282} a - \frac{35300221849}{14641} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( 96 a + 151\) , \( -774 a + 1417\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(96a+151\right){x}-774a+1417$ |
| 15488.5-a2 |
15488.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{9} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.440423686$ |
$0.901434118$ |
2.400908571 |
\( -\frac{249748466395}{428717762} a + \frac{259212876761}{214358881} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( -4 a - 49\) , \( -50 a + 145\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-4a-49\right){x}-50a+145$ |
| 15488.5-a3 |
15488.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{14} \cdot 11^{6} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.220211843$ |
$1.802868236$ |
2.400908571 |
\( \frac{67141725}{58564} a + \frac{45045721}{29282} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( 6 a + 11\) , \( -12 a + 21\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(6a+11\right){x}-12a+21$ |
| 15488.5-a4 |
15488.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{10} \cdot 11^{3} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.440423686$ |
$3.605736472$ |
2.400908571 |
\( -\frac{36743275}{1936} a + \frac{19854129}{968} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( a + 6\) , \( 3 a - 4\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(a+6\right){x}+3a-4$ |
| 15488.5-b1 |
15488.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{23} \cdot 11^{2} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.229437542$ |
$0.438200788$ |
2.953992798 |
\( \frac{32518499729401}{704} a - \frac{15898155671547}{352} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -1878 a + 1878\) , \( 9281 a - 56527\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-1878a+1878\right){x}+9281a-56527$ |
| 15488.5-b2 |
15488.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{41} \cdot 11^{2} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.229437542$ |
$0.876401577$ |
2.953992798 |
\( -\frac{16131562657}{184549376} a + \frac{3800221619}{92274688} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( -14 a - 10\) , \( -85 a - 123\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-14a-10\right){x}-85a-123$ |
| 15488.5-b3 |
15488.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{20} \cdot 11^{8} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.557359385$ |
$0.876401577$ |
2.953992798 |
\( -\frac{16280859}{937024} a + \frac{747699265}{468512} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 3 a + 59\) , \( -4 a - 58\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(3a+59\right){x}-4a-58$ |
| 15488.5-b4 |
15488.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{13} \cdot 11^{10} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.278679692$ |
$0.876401577$ |
2.953992798 |
\( \frac{34401807041}{1714871048} a + \frac{1602489013229}{857435524} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( -47 a + 21\) , \( 43 a - 81\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-47a+21\right){x}+43a-81$ |
| 15488.5-b5 |
15488.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{28} \cdot 11^{4} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.114718771$ |
$0.876401577$ |
2.953992798 |
\( \frac{78156424101}{495616} a + \frac{16938341377}{247808} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -118 a + 118\) , \( 129 a - 911\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-118a+118\right){x}+129a-911$ |
| 15488.5-b6 |
15488.5-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{19} \cdot 11^{10} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.114718771$ |
$0.438200788$ |
2.953992798 |
\( -\frac{320710739562017}{1714871048} a + \frac{225827695068387}{857435524} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -37 a + 699\) , \( -5076 a + 1718\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-37a+699\right){x}-5076a+1718$ |
| 15488.5-c1 |
15488.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{54} \cdot 11^{3} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.338242877$ |
1.022750326 |
\( \frac{31504873455125}{519691042816} a + \frac{50524809992625}{259845521408} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 146 a - 175\) , \( 566 a - 3334\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(146a-175\right){x}+566a-3334$ |
| 15488.5-c2 |
15488.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{54} \cdot 11^{3} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.338242877$ |
1.022750326 |
\( -\frac{31504873455125}{519691042816} a + \frac{132554493440375}{519691042816} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -19 a + 228\) , \( -129 a - 3075\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-19a+228\right){x}-129a-3075$ |
| 15488.5-c3 |
15488.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{42} \cdot 11^{6} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.338242877$ |
1.022750326 |
\( \frac{1133731711875}{959512576} a + \frac{6924008747375}{959512576} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( 437 a - 316\) , \( -3079 a - 1167\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(437a-316\right){x}-3079a-1167$ |
| 15488.5-c4 |
15488.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{42} \cdot 11^{6} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.338242877$ |
1.022750326 |
\( -\frac{1133731711875}{959512576} a + \frac{4028870229625}{479756288} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( 92 a + 527\) , \( 3344 a - 3163\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(92a+527\right){x}+3344a-3163$ |
| 15488.5-c5 |
15488.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{30} \cdot 11^{9} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.169121438$ |
1.022750326 |
\( \frac{915988506230265125}{54875873536} a + \frac{2123510665930979625}{54875873536} \) |
\( \bigl[a\) , \( a + 1\) , \( a\) , \( 6757 a - 4956\) , \( -216039 a - 63823\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6757a-4956\right){x}-216039a-63823$ |
| 15488.5-c6 |
15488.5-c |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{30} \cdot 11^{9} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.169121438$ |
1.022750326 |
\( -\frac{915988506230265125}{54875873536} a + \frac{1519749586080622375}{27437936768} \) |
\( \bigl[a\) , \( -a\) , \( 0\) , \( 1372 a + 8207\) , \( 237584 a - 219739\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(1372a+8207\right){x}+237584a-219739$ |
| 15488.5-d1 |
15488.5-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{24} \cdot 11^{6} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.033734412$ |
1.562859530 |
\( \frac{46830231}{234256} a + \frac{377324919}{234256} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 6 a + 42\) , \( -33 a + 29\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a+42\right){x}-33a+29$ |
| 15488.5-d2 |
15488.5-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{24} \cdot 11^{6} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.033734412$ |
1.562859530 |
\( -\frac{46830231}{234256} a + \frac{212077575}{117128} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 33 a - 24\) , \( -7 a + 65\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(33a-24\right){x}-7a+65$ |
| 15488.5-d3 |
15488.5-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{21} \cdot 11^{9} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.516867206$ |
1.562859530 |
\( \frac{56046918875913}{857435524} a + \frac{9320189138181}{214358881} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 293 a - 304\) , \( -2575 a + 881\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(293a-304\right){x}-2575a+881$ |
| 15488.5-d4 |
15488.5-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{21} \cdot 11^{9} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.516867206$ |
1.562859530 |
\( -\frac{56046918875913}{857435524} a + \frac{93327675428637}{857435524} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -4 a + 422\) , \( 2375 a - 1363\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a+422\right){x}+2375a-1363$ |
| 15488.5-d5 |
15488.5-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{27} \cdot 11^{3} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.033734412$ |
1.562859530 |
\( \frac{14003310699}{30976} a + \frac{5238465399}{30976} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 105 a - 72\) , \( -469 a - 43\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(105a-72\right){x}-469a-43$ |
| 15488.5-d6 |
15488.5-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{27} \cdot 11^{3} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.033734412$ |
1.562859530 |
\( -\frac{14003310699}{30976} a + \frac{9620888049}{15488} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 24 a + 126\) , \( 405 a - 487\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(24a+126\right){x}+405a-487$ |
| 15488.5-e1 |
15488.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{23} \cdot 11^{2} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.208093150$ |
$2.443829262$ |
6.150771644 |
\( \frac{150031}{2816} a + \frac{2195619}{1408} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -4 a - 4\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-4a-4\right){x}$ |
| 15488.5-e2 |
15488.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{16} \cdot 11^{4} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.416186300$ |
$2.443829262$ |
6.150771644 |
\( -\frac{119091}{1936} a + \frac{1847305}{968} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 5 a - 7\) , \( -3 a + 1\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(5a-7\right){x}-3a+1$ |
| 15488.5-e3 |
15488.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{8} \cdot 11^{5} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.832372600$ |
$2.443829262$ |
6.150771644 |
\( \frac{1085152369}{58564} a + \frac{2893170013}{29282} \) |
\( \bigl[a\) , \( -a\) , \( a\) , \( -7 a - 12\) , \( 22 a + 13\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-7a-12\right){x}+22a+13$ |
| 15488.5-e4 |
15488.5-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{17} \cdot 11^{5} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.832372600$ |
$1.221914631$ |
6.150771644 |
\( -\frac{9255981777}{58564} a + \frac{25074097747}{29282} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 65 a - 87\) , \( -311 a + 177\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(65a-87\right){x}-311a+177$ |
| 15488.5-f1 |
15488.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{23} \cdot 11^{2} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.418339135$ |
$1.737958760$ |
6.354298938 |
\( \frac{34643161}{176} a - \frac{7276683}{176} \) |
\( \bigl[a\) , \( a\) , \( a\) , \( -16 a + 45\) , \( 73 a + 50\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-16a+45\right){x}+73a+50$ |
| 15488.5-f2 |
15488.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{22} \cdot 11^{4} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.209169567$ |
$1.737958760$ |
6.354298938 |
\( \frac{704969}{484} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -10 a - 4\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a-4\right){x}$ |
| 15488.5-f3 |
15488.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{20} \cdot 11^{8} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.418339135$ |
$0.868979380$ |
6.354298938 |
\( \frac{59776471}{29282} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 40 a + 16\) , \( 10 a - 124\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(40a+16\right){x}+10a-124$ |
| 15488.5-f4 |
15488.5-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
15488.5 |
\( 2^{7} \cdot 11^{2} \) |
\( 2^{23} \cdot 11^{2} \) |
$2.63746$ |
$(a), (-a+1), (-2a+3), (2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.418339135$ |
$1.737958760$ |
6.354298938 |
\( -\frac{34643161}{176} a + \frac{13683239}{88} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 20 a - 42\) , \( -68 a + 79\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(20a-42\right){x}-68a+79$ |
*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.
