| 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 |
| 22050.2-a1 |
22050.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{8} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.133161645$ |
$0.973199388$ |
2.073485308 |
\( \frac{30080231}{9003750} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( 7\) , \( -147\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}+7{x}-147$ |
| 22050.2-a2 |
22050.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.532646580$ |
$3.892797554$ |
2.073485308 |
\( \frac{4826809}{1680} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -3\) , \( 3\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-3{x}+3$ |
| 22050.2-a3 |
22050.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.266323290$ |
$1.946398777$ |
2.073485308 |
\( \frac{1439069689}{44100} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -23\) , \( -33\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-23{x}-33$ |
| 22050.2-a4 |
22050.2-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.532646580$ |
$0.973199388$ |
2.073485308 |
\( \frac{5763259856089}{5670} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -373\) , \( -2623\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-373{x}-2623$ |
| 22050.2-b1 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{24} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{5} \cdot 3 \) |
$5.089198554$ |
$0.049562042$ |
3.026772894 |
\( -\frac{932348627918877961}{358766164249920} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -20352\) , \( 1443724\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-20352{x}+1443724$ |
| 22050.2-b2 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{24} \cdot 5^{6} \cdot 7^{8} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/12\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1.696399518$ |
$0.148686127$ |
3.026772894 |
\( \frac{785793873833639}{637994920500} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( 1923\) , \( -20756\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+1923{x}-20756$ |
| 22050.2-b3 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{12} \cdot 7^{4} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$0.848199759$ |
$0.297372254$ |
3.026772894 |
\( \frac{21302308926361}{8930250000} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -577\) , \( -2756\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-577{x}-2756$ |
| 22050.2-b4 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{48} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \cdot 3 \) |
$5.089198554$ |
$0.198248169$ |
3.026772894 |
\( \frac{353108405631241}{86318776320} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -1472\) , \( 16652\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-1472{x}+16652$ |
| 22050.2-b5 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{24} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/12\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{3} \) |
$1.696399518$ |
$0.148686127$ |
3.026772894 |
\( \frac{9150443179640281}{184570312500} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -4357\) , \( 109132\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-4357{x}+109132$ |
| 22050.2-b6 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{3} \) |
$1.696399518$ |
$0.594744508$ |
3.026772894 |
\( \frac{13619385906841}{6048000} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -497\) , \( -4228\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-497{x}-4228$ |
| 22050.2-b7 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 7^{12} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{5} \cdot 3 \) |
$2.544599277$ |
$0.099124084$ |
3.026772894 |
\( \frac{1169975873419524361}{108425318400} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -21952\) , \( 1253644\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-21952{x}+1253644$ |
| 22050.2-b8 |
22050.2-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{5} \cdot 3 \) |
$5.089198554$ |
$0.049562042$ |
3.026772894 |
\( \frac{4791901410190533590281}{41160000} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -351232\) , \( 80149132\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-351232{x}+80149132$ |
| 22050.2-c1 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.272684525$ |
2.181476201 |
\( -\frac{58818484369}{18600435000} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -81\) , \( -6561\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-81{x}-6561$ |
| 22050.2-c2 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{24} \cdot 7^{6} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.090894841$ |
2.181476201 |
\( \frac{42841933504271}{13565917968750} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 729\) , \( 176985\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+729{x}+176985$ |
| 22050.2-c3 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$1.090738100$ |
2.181476201 |
\( \frac{7633736209}{3870720} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -41\) , \( 39\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-41{x}+39$ |
| 22050.2-c4 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 7^{24} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.090894841$ |
2.181476201 |
\( \frac{29689921233686449}{10380965400750} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -6451\) , \( -124931\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-6451{x}-124931$ |
| 22050.2-c5 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{12} \cdot 7^{12} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.181789683$ |
2.181476201 |
\( \frac{2179252305146449}{66177562500} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -2701\) , \( 52819\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-2701{x}+52819$ |
| 22050.2-c6 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$0.545369050$ |
2.181476201 |
\( \frac{5203798902289}{57153600} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -361\) , \( -2585\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-361{x}-2585$ |
| 22050.2-c7 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.363579366$ |
2.181476201 |
\( \frac{2131200347946769}{2058000} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -2681\) , \( 53655\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-2681{x}+53655$ |
| 22050.2-c8 |
22050.2-c |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.272684525$ |
2.181476201 |
\( \frac{21145699168383889}{2593080} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -5761\) , \( -167825\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-5761{x}-167825$ |
| 22050.2-d1 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{32} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{7} \) |
$1$ |
$0.027629842$ |
3.536619863 |
\( -\frac{187778242790732059201}{4984939585440150} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -119300\) , \( 16229850\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-119300{x}+16229850$ |
| 22050.2-d2 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{32} \cdot 7^{4} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{12} \) |
$1$ |
$0.055259685$ |
3.536619863 |
\( \frac{226523624554079}{269165039062500} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 1270\) , \( 789048\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+1270{x}+789048$ |
| 22050.2-d3 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{32} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{9} \) |
$1$ |
$0.442077482$ |
3.536619863 |
\( \frac{1023887723039}{928972800} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 210\) , \( -900\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+210{x}-900$ |
| 22050.2-d4 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{8} \cdot 7^{4} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{12} \) |
$1$ |
$0.221038741$ |
3.536619863 |
\( \frac{135487869158881}{51438240000} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -1070\) , \( -7812\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-1070{x}-7812$ |
| 22050.2-d5 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{16} \cdot 7^{8} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{13} \) |
$1$ |
$0.110519370$ |
3.536619863 |
\( \frac{47595748626367201}{1215506250000} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -7550\) , \( 247500\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-7550{x}+247500$ |
| 22050.2-d6 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{40} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{9} \) |
$1$ |
$0.027629842$ |
3.536619863 |
\( -\frac{17630131011392664783232160113}{977888703346252441406250} a + \frac{1415509016117634844781129448}{23283064365386962890625} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 110670 i + 71830\) , \( -1502718 i + 18136224\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(110670i+71830\right){x}-1502718i+18136224$ |
| 22050.2-d7 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{40} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{9} \) |
$1$ |
$0.027629842$ |
3.536619863 |
\( \frac{17630131011392664783232160113}{977888703346252441406250} a + \frac{1415509016117634844781129448}{23283064365386962890625} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -110670 i + 71830\) , \( 1502718 i + 18136224\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(-110670i+71830\right){x}+1502718i+18136224$ |
| 22050.2-d8 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{32} \cdot 5^{4} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{9} \) |
$1$ |
$0.110519370$ |
3.536619863 |
\( \frac{378499465220294881}{120530818800} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -15070\) , \( -710612\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-15070{x}-710612$ |
| 22050.2-d9 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 7^{16} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{10} \) |
$1$ |
$0.055259685$ |
3.536619863 |
\( \frac{191342053882402567201}{129708022500} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -120050\) , \( 16020000\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-120050{x}+16020000$ |
| 22050.2-d10 |
22050.2-d |
$10$ |
$16$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$64$ |
\( 2^{5} \) |
$1$ |
$0.027629842$ |
3.536619863 |
\( \frac{783736670177727068275201}{360150} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -1920800\) , \( 1024800150\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-1920800{x}+1024800150$ |
| 22050.2-e1 |
22050.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{16} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{10} \) |
$1$ |
$0.229118748$ |
3.665899970 |
\( -\frac{104094944089921}{35880468750} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -979\) , \( 15325\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-979{x}+15325$ |
| 22050.2-e2 |
22050.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.832949985$ |
3.665899970 |
\( \frac{109902239}{188160} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( 11\) , \( 13\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+11{x}+13$ |
| 22050.2-e3 |
22050.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.916474992$ |
3.665899970 |
\( \frac{37966934881}{8643600} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -69\) , \( 205\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-69{x}+205$ |
| 22050.2-e4 |
22050.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{16} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{5} \) |
$1$ |
$0.458237496$ |
3.665899970 |
\( \frac{5602762882081}{345888060} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -369\) , \( -2435\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-369{x}-2435$ |
| 22050.2-e5 |
22050.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7^{4} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \) |
$1$ |
$0.458237496$ |
3.665899970 |
\( \frac{128031684631201}{9922500} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -1049\) , \( 13533\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-1049{x}+13533$ |
| 22050.2-e6 |
22050.2-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
22050.2 |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \) |
$2.17781$ |
$(a+1), (-a-2), (2a+1), (3), (7)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$16$ |
\( 2^{4} \) |
$1$ |
$0.229118748$ |
3.665899970 |
\( \frac{524388516989299201}{3150} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -16799\) , \( 845133\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-16799{x}+845133$ |
*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.
