| 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 |
| 36288.1-a1 |
36288.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{12} \cdot 3^{18} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.198886294$ |
$0.807960397$ |
2.928930299 |
\( \frac{156735}{7} a - 4374 \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 6 a + 132\) , \( -485 a + 222\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a+132\right){x}-485a+222$ |
| 36288.1-a2 |
36288.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{6} \cdot 3^{18} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.397772588$ |
$1.615920795$ |
2.928930299 |
\( \frac{243}{7} a - \frac{594}{7} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 6 a - 3\) , \( -26 a + 6\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-3\right){x}-26a+6$ |
| 36288.1-b1 |
36288.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{10} \cdot 3^{16} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.661118206$ |
0.999516777 |
\( \frac{863944673}{63} a - \frac{2480308966}{63} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -324 a + 540\) , \( 1265 a + 4026\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-324a+540\right){x}+1265a+4026$ |
| 36288.1-b2 |
36288.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{17} \cdot 3^{14} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.661118206$ |
0.999516777 |
\( \frac{13784383}{21} a - \frac{1921824}{7} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -6 a - 348\) , \( 15 a - 2330\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-348\right){x}+15a-2330$ |
| 36288.1-b3 |
36288.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{17} \cdot 3^{14} \cdot 7^{8} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.330559103$ |
0.999516777 |
\( -\frac{70011793}{7203} a - \frac{50355456}{2401} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -189 a + 846\) , \( 5778 a + 756\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-189a+846\right){x}+5778a+756$ |
| 36288.1-b4 |
36288.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{14} \cdot 3^{20} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.661118206$ |
0.999516777 |
\( \frac{839201}{189} a + \frac{38270}{567} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -78 a - 60\) , \( 551 a - 106\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-78a-60\right){x}+551a-106$ |
| 36288.1-b5 |
36288.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{16} \cdot 3^{16} \cdot 7^{4} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.661118206$ |
0.999516777 |
\( -\frac{172799}{441} a + \frac{48094}{441} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -54 a + 36\) , \( 351 a - 378\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-54a+36\right){x}+351a-378$ |
| 36288.1-b6 |
36288.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{16} \cdot 3^{28} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.330559103$ |
0.999516777 |
\( -\frac{78717967}{15309} a + \frac{227060962}{45927} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -123 a - 510\) , \( -988 a - 4408\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-123a-510\right){x}-988a-4408$ |
| 36288.1-c1 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{14} \cdot 7^{16} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.101596740$ |
1.228798671 |
\( -\frac{4354703137}{17294403} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1530 a - 612\) , \( 99603 a - 35154\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1530a-612\right){x}+99603a-35154$ |
| 36288.1-c2 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{16} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.812773923$ |
1.228798671 |
\( \frac{103823}{63} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 45 a + 18\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(45a+18\right){x}$ |
| 36288.1-c3 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{20} \cdot 7^{4} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$0.406386961$ |
1.228798671 |
\( \frac{7189057}{3969} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -180 a - 72\) , \( 459 a - 162\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-180a-72\right){x}+459a-162$ |
| 36288.1-c4 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{14} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.812773923$ |
1.228798671 |
\( \frac{2940226}{21} a + \frac{2980207}{21} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -51 a + 210\) , \( 672 a + 64\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-51a+210\right){x}+672a+64$ |
| 36288.1-c5 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{28} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$0.203193480$ |
1.228798671 |
\( \frac{6570725617}{45927} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1755 a - 702\) , \( -41310 a + 14580\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1755a-702\right){x}-41310a+14580$ |
| 36288.1-c6 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{14} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.812773923$ |
1.228798671 |
\( -\frac{2940226}{21} a + \frac{5920433}{21} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 111 a - 186\) , \( 722 a - 556\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(111a-186\right){x}+722a-556$ |
| 36288.1-c7 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{16} \cdot 7^{8} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.203193480$ |
1.228798671 |
\( \frac{13027640977}{21609} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -2205 a - 882\) , \( 62424 a - 22032\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2205a-882\right){x}+62424a-22032$ |
| 36288.1-c8 |
36288.1-c |
$8$ |
$16$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{18} \cdot 3^{14} \cdot 7^{4} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.101596740$ |
1.228798671 |
\( \frac{53297461115137}{147} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -35280 a - 14112\) , \( 3908385 a - 1379430\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-35280a-14112\right){x}+3908385a-1379430$ |
| 36288.1-d1 |
36288.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.702246250$ |
$2.423881193$ |
5.146852535 |
\( \frac{156735}{7} a - 4374 \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( a + 16\) , \( 12 a - 17\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+16\right){x}+12a-17$ |
| 36288.1-d2 |
36288.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.404492501$ |
$4.847762387$ |
5.146852535 |
\( \frac{243}{7} a - \frac{594}{7} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( a + 1\) , \( 1\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+1\right){x}+1$ |
| 36288.1-e1 |
36288.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{15} \cdot 3^{12} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.239805762$ |
$1.636784519$ |
5.542591071 |
\( -\frac{2525}{7} a + \frac{10646}{7} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 10 a - 14\) , \( 6 a + 19\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-14\right){x}+6a+19$ |
| 36288.1-e2 |
36288.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.119902881$ |
$1.636784519$ |
5.542591071 |
\( \frac{3555}{7} a + \frac{12302}{7} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 10 a + 10\) , \( -10 a + 19\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a+10\right){x}-10a+19$ |
| 36288.1-e3 |
36288.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{15} \cdot 3^{12} \cdot 7^{4} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.239805762$ |
$0.818392259$ |
5.542591071 |
\( -\frac{1482409}{49} a + \frac{341346}{7} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 55 a + 100\) , \( 296 a - 665\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(55a+100\right){x}+296a-665$ |
| 36288.1-e4 |
36288.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{6} \cdot 3^{12} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.239805762$ |
$1.636784519$ |
5.542591071 |
\( \frac{9225207}{7} a + \frac{485654}{7} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 37 a - 59\) , \( -156 a + 177\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(37a-59\right){x}-156a+177$ |
| 36288.1-f1 |
36288.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{16} \cdot 3^{14} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.420594567$ |
$1.034908101$ |
5.351978495 |
\( \frac{219127}{7} a - \frac{1223602}{21} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -29 a - 68\) , \( -122 a - 173\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-29a-68\right){x}-122a-173$ |
| 36288.1-f2 |
36288.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{14} \cdot 3^{16} \cdot 7^{2} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.710297283$ |
$1.034908101$ |
5.351978495 |
\( \frac{4009}{21} a + \frac{3310}{63} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -5 a + 28\) , \( 70 a - 109\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a+28\right){x}+70a-109$ |
| 36288.1-f3 |
36288.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{10} \cdot 3^{14} \cdot 7^{4} \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.855148641$ |
$1.034908101$ |
5.351978495 |
\( -\frac{166231}{49} a + \frac{1158718}{147} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -29 a - 32\) , \( 134 a + 51\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-29a-32\right){x}+134a+51$ |
| 36288.1-f4 |
36288.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36288.1 |
\( 2^{6} \cdot 3^{4} \cdot 7 \) |
\( 2^{16} \cdot 3^{20} \cdot 7 \) |
$3.26308$ |
$(a), (-2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.420594567$ |
$0.517454050$ |
5.351978495 |
\( -\frac{48284377}{189} a + \frac{36331342}{567} \) |
\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 40 a + 478\) , \( 3058 a - 2485\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a+478\right){x}+3058a-2485$ |
*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.
