| 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 |
| 25088.7-a1 |
25088.7-a |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{4} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \cdot 3 \) |
$0.177347766$ |
$2.617318074$ |
4.210604499 |
\( 48384 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 7 a + 7\) , \( -7 a + 21\bigr] \) |
${y}^2={x}^{3}+\left(7a+7\right){x}-7a+21$ |
| 25088.7-b1 |
25088.7-b |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{10} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$1$ |
$0.989253246$ |
1.495610328 |
\( 48384 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -49 a - 49\) , \( 245 a + 49\bigr] \) |
${y}^2={x}^{3}+\left(-49a-49\right){x}+245a+49$ |
| 25088.7-c1 |
25088.7-c |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{10} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.581312512$ |
1.757723819 |
\( \frac{91484}{49} a - \frac{488028}{49} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -133 a + 166\) , \( 49 a + 1142\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-133a+166\right){x}+49a+1142$ |
| 25088.7-c2 |
25088.7-c |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.162625024$ |
1.757723819 |
\( \frac{3408}{7} a - 1360 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 7 a + 26\) , \( -63 a + 78\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(7a+26\right){x}-63a+78$ |
| 25088.7-c3 |
25088.7-c |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{10} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.325250049$ |
1.757723819 |
\( -\frac{21696}{7} a - \frac{9088}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 7 a - 9\) , \( -14 a + 8\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(7a-9\right){x}-14a+8$ |
| 25088.7-c4 |
25088.7-c |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.581312512$ |
1.757723819 |
\( -\frac{12673028}{7} a + \frac{25007348}{7} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 147 a + 446\) , \( -3311 a + 4054\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(147a+446\right){x}-3311a+4054$ |
| 25088.7-d1 |
25088.7-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{31} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$5.276096762$ |
$0.261494103$ |
4.171724484 |
\( \frac{4096655365}{28} a - \frac{2878658051}{14} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 3283 a - 2690\) , \( 77889 a + 9318\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(3283a-2690\right){x}+77889a+9318$ |
| 25088.7-d2 |
25088.7-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.638048381$ |
$0.522988206$ |
4.171724484 |
\( -\frac{13647889}{14} a - \frac{40536829}{7} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -378 a + 733\) , \( -2695 a - 5412\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-378a+733\right){x}-2695a-5412$ |
| 25088.7-d3 |
25088.7-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{32} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$2.638048381$ |
$0.522988206$ |
4.171724484 |
\( -\frac{1145925}{112} a - \frac{72257}{56} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 203 a - 170\) , \( 1169 a + 246\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(203a-170\right){x}+1169a+246$ |
| 25088.7-d4 |
25088.7-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{10} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1.319024190$ |
$0.522988206$ |
4.171724484 |
\( \frac{361845}{196} a - \frac{43727}{98} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -104 a - 68\) , \( -852 a + 476\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-104a-68\right){x}-852a+476$ |
| 25088.7-d5 |
25088.7-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{37} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.319024190$ |
$0.522988206$ |
4.171724484 |
\( -\frac{138325}{1792} a - \frac{317937}{896} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -76 a + 72\) , \( 320 a - 1120\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-76a+72\right){x}+320a-1120$ |
| 25088.7-d6 |
25088.7-d |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{29} \cdot 7^{14} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.638048381$ |
$0.261494103$ |
4.171724484 |
\( -\frac{5786513}{4802} a + \frac{263001}{343} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 36 a + 632\) , \( -5164 a + 420\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(36a+632\right){x}-5164a+420$ |
| 25088.7-e1 |
25088.7-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1.862501160$ |
$0.823494872$ |
4.637654791 |
\( 237572 a - 523524 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 148 a - 152\) , \( -912 a + 336\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(148a-152\right){x}-912a+336$ |
| 25088.7-e2 |
25088.7-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{16} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.862501160$ |
$1.646989744$ |
4.637654791 |
\( -3084 a - 62716 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 28 a - 16\) , \( -42 a - 36\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(28a-16\right){x}-42a-36$ |
| 25088.7-e3 |
25088.7-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.931250580$ |
$1.646989744$ |
4.637654791 |
\( -336 a + 560 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 12\) , \( -16 a\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-12\right){x}-16a$ |
| 25088.7-e4 |
25088.7-e |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{19} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.465625290$ |
$1.646989744$ |
4.637654791 |
\( 2056 a + 2768 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 14 a + 5\) , \( -7 a - 34\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(14a+5\right){x}-7a-34$ |
| 25088.7-f1 |
25088.7-f |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{27} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2, 5$ |
2B, 5S4 |
$1$ |
\( 2^{3} \) |
$2.248574071$ |
$0.641561531$ |
4.362008230 |
\( 1097726 a - 2096382 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -300 a + 296\) , \( 548 a - 3276\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-300a+296\right){x}+548a-3276$ |
| 25088.7-f2 |
25088.7-f |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{27} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2, 5$ |
2B, 5S4 |
$1$ |
\( 2^{4} \) |
$1.124287035$ |
$0.641561531$ |
4.362008230 |
\( -1097726 a - 998656 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 147 a - 450\) , \( 1715 a - 3522\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(147a-450\right){x}+1715a-3522$ |
| 25088.7-f3 |
25088.7-f |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{21} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2, 5$ |
2B, 5S4 |
$1$ |
\( 2^{3} \) |
$1.124287035$ |
$1.283123062$ |
4.362008230 |
\( 28658 a - 19692 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -41 a + 23\) , \( -58 a + 126\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-41a+23\right){x}-58a+126$ |
| 25088.7-f4 |
25088.7-f |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2, 5$ |
2Cs, 5S4 |
$1$ |
\( 2^{5} \) |
$1.124287035$ |
$1.283123062$ |
4.362008230 |
\( 924 a + 860 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -20 a + 16\) , \( -12 a - 28\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-20a+16\right){x}-12a-28$ |
| 25088.7-f5 |
25088.7-f |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{24} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2, 5$ |
2Cs, 5S4 |
$1$ |
\( 2^{6} \) |
$0.562143517$ |
$1.283123062$ |
4.362008230 |
\( -924 a + 1784 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 7 a - 30\) , \( 35 a - 50\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(7a-30\right){x}+35a-50$ |
| 25088.7-f6 |
25088.7-f |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{21} \cdot 7^{6} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2, 5$ |
2B, 5S4 |
$1$ |
\( 2^{2} \) |
$2.248574071$ |
$1.283123062$ |
4.362008230 |
\( -28658 a + 8966 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 7 a - 58\) , \( -35 a + 190\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(7a-58\right){x}-35a+190$ |
| 25088.7-g1 |
25088.7-g |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$1$ |
$1.673959304$ |
2.530788585 |
\( -512 a + 256 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 8 a - 12\) , \( 19 a + 7\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-12\right){x}+19a+7$ |
| 25088.7-h1 |
25088.7-h |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{2} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.379087235$ |
$4.428880024$ |
5.076612841 |
\( -512 a + 256 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -a + 2\) , \( 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-a+2\right){x}+1$ |
| 25088.7-i1 |
25088.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{26} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.917252007$ |
$0.509406594$ |
4.493445480 |
\( \frac{39051258}{7} a - \frac{25340662}{7} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -600 a + 296\) , \( -4528 a + 8656\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-600a+296\right){x}-4528a+8656$ |
| 25088.7-i2 |
25088.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{10} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.917252007$ |
$1.018813188$ |
4.493445480 |
\( -\frac{24238}{49} a + \frac{44442}{49} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -9 a + 39\) , \( 22 a + 100\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-9a+39\right){x}+22a+100$ |
| 25088.7-i3 |
25088.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{22} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.458626003$ |
$1.018813188$ |
4.493445480 |
\( \frac{10452}{7} a + \frac{13028}{7} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -40 a + 16\) , \( -48 a + 144\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-40a+16\right){x}-48a+144$ |
| 25088.7-i4 |
25088.7-i |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{23} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.729313001$ |
$1.018813188$ |
4.493445480 |
\( -\frac{88712}{7} a + \frac{116960}{7} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -30 a + 81\) , \( 111 a + 110\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-30a+81\right){x}+111a+110$ |
| 25088.7-j1 |
25088.7-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{26} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1.906317880$ |
$0.854666612$ |
4.926438062 |
\( -\frac{4}{7} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -2 a - 3\) , \( -141 a - 30\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-2a-3\right){x}-141a-30$ |
| 25088.7-j2 |
25088.7-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.953158940$ |
$0.854666612$ |
4.926438062 |
\( \frac{59930}{7} a + \frac{286932}{7} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -12 a - 124\) , \( -36 a - 564\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-12a-124\right){x}-36a-564$ |
| 25088.7-j3 |
25088.7-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{25} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.953158940$ |
$0.854666612$ |
4.926438062 |
\( -\frac{59930}{7} a + \frac{346862}{7} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -96 a + 16\) , \( -384 a + 480\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-96a+16\right){x}-384a+480$ |
| 25088.7-j4 |
25088.7-j |
$4$ |
$4$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{10} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$3.812635761$ |
$0.427333306$ |
4.926438062 |
\( \frac{3543122}{49} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -282 a - 283\) , \( -3221 a - 870\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-282a-283\right){x}-3221a-870$ |
| 25088.7-k1 |
25088.7-k |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{27} \cdot 7^{9} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.656653425$ |
0.992766663 |
\( 1474 a - 360 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -20 a - 96\) , \( 212 a + 196\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-20a-96\right){x}+212a+196$ |
| 25088.7-k2 |
25088.7-k |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{27} \cdot 7^{9} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.656653425$ |
0.992766663 |
\( -1474 a + 1114 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -77 a - 2\) , \( 385 a - 90\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-77a-2\right){x}+385a-90$ |
| 25088.7-l1 |
25088.7-l |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{27} \cdot 7^{3} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.737341661$ |
2.626613702 |
\( 1474 a - 360 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 3 a + 14\) , \( -13 a + 30\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(3a+14\right){x}-13a+30$ |
| 25088.7-l2 |
25088.7-l |
$2$ |
$2$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{27} \cdot 7^{3} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.737341661$ |
2.626613702 |
\( -1474 a + 1114 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( 12 a\) , \( 4 a + 20\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+12a{x}+4a+20$ |
| 25088.7-m1 |
25088.7-m |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{2} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$0.385152047$ |
$3.975412751$ |
4.629727225 |
\( 12544 \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( -2 a - 3\) , \( -4 a + 1\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}-4a+1$ |
| 25088.7-n1 |
25088.7-n |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{14} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$2$ |
2Cn |
$1$ |
\( 2 \) |
$1$ |
$1.502564785$ |
2.271664429 |
\( 12544 \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 16 a + 16\) , \( -29 a + 87\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(16a+16\right){x}-29a+87$ |
| 25088.7-o1 |
25088.7-o |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.073400181$ |
3.245657071 |
\( \frac{516132}{7} a - \frac{52056}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 70 a - 14\) , \( 119 a + 259\bigr] \) |
${y}^2={x}^{3}+\left(70a-14\right){x}+119a+259$ |
| 25088.7-o2 |
25088.7-o |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{22} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$1.073400181$ |
3.245657071 |
\( \frac{432}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 7 a + 7\) , \( 70 a + 14\bigr] \) |
${y}^2={x}^{3}+\left(7a+7\right){x}+70a+14$ |
| 25088.7-o3 |
25088.7-o |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{14} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$4$ |
\( 2^{4} \) |
$1$ |
$0.268350045$ |
3.245657071 |
\( \frac{11090466}{2401} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -413 a - 413\) , \( -4830 a - 966\bigr] \) |
${y}^2={x}^{3}+\left(-413a-413\right){x}-4830a-966$ |
| 25088.7-o4 |
25088.7-o |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{26} \cdot 7^{10} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$4$ |
\( 2^{5} \) |
$1$ |
$0.536700090$ |
3.245657071 |
\( \frac{740772}{49} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -133 a - 133\) , \( 1050 a + 210\bigr] \) |
${y}^2={x}^{3}+\left(-133a-133\right){x}+1050a+210$ |
| 25088.7-o5 |
25088.7-o |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{20} \cdot 7^{7} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.073400181$ |
3.245657071 |
\( -\frac{516132}{7} a + \frac{464076}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 7 a + 91\) , \( 266 a - 182\bigr] \) |
${y}^2={x}^{3}+\left(7a+91\right){x}+266a-182$ |
| 25088.7-o6 |
25088.7-o |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25088.7 |
\( 2^{9} \cdot 7^{2} \) |
\( 2^{28} \cdot 7^{8} \) |
$2.97546$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.268350045$ |
3.245657071 |
\( \frac{1443468546}{7} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2093 a - 2093\) , \( 69650 a + 13930\bigr] \) |
${y}^2={x}^{3}+\left(-2093a-2093\right){x}+69650a+13930$ |
*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.
