| 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 |
| 200.1-a1 |
200.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{8} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$8.151961419$ |
2.457908848 |
\( \frac{237276}{625} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 197 a + 652\) , \( 5608 a + 18598\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(197a+652\right){x}+5608a+18598$ |
| 200.1-a2 |
200.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{4} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$32.60784567$ |
2.457908848 |
\( \frac{148176}{25} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -103 a - 343\) , \( 621 a + 2058\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-103a-343\right){x}+621a+2058$ |
| 200.1-a3 |
200.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$16.30392283$ |
2.457908848 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( -1\bigr] \) |
${y}^2={x}^{3}-2{x}-1$ |
| 200.1-a4 |
200.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$32.60784567$ |
2.457908848 |
\( \frac{132304644}{5} \) |
\( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( -1603 a - 5318\) , \( 59476 a + 197258\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-1603a-5318\right){x}+59476a+197258$ |
| 200.1-b1 |
200.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{14} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$1.927299871$ |
2.905513878 |
\( \frac{3971008512}{9765625} a - \frac{10203676672}{9765625} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 48 a - 156\) , \( 508 a - 1685\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(48a-156\right){x}+508a-1685$ |
| 200.1-b2 |
200.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{13} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$3.854599742$ |
2.905513878 |
\( -\frac{556737823072}{390625} a + \frac{1849158305968}{390625} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -202 a - 669\) , \( 2435 a + 8071\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-202a-669\right){x}+2435a+8071$ |
| 200.1-c1 |
200.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$10.48019318$ |
3.159897137 |
\( \frac{135168}{625} a + \frac{247808}{625} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 6 a - 18\) , \( -52 a + 173\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(6a-18\right){x}-52a+173$ |
| 200.1-c2 |
200.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$20.96038636$ |
3.159897137 |
\( -\frac{70243008}{625} a + \frac{234600848}{625} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -7 a - 22\) , \( -29 a - 96\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-7a-22\right){x}-29a-96$ |
| 200.1-c3 |
200.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{3} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$20.96038636$ |
3.159897137 |
\( -\frac{2105151487912}{25} a + \frac{6981998611492}{25} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -57 a - 197\) , \( 336 a + 1119\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-57a-197\right){x}+336a+1119$ |
| 200.1-c4 |
200.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{9} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$5.240096591$ |
3.159897137 |
\( \frac{179425843432}{390625} a + \frac{595817255308}{390625} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -117 a - 387\) , \( -1500 a - 4975\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-117a-387\right){x}-1500a-4975$ |
| 200.1-d1 |
200.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{14} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$1.927299871$ |
2.905513878 |
\( -\frac{3971008512}{9765625} a - \frac{10203676672}{9765625} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -48 a - 156\) , \( -508 a - 1685\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-48a-156\right){x}-508a-1685$ |
| 200.1-d2 |
200.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{13} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$3.854599742$ |
2.905513878 |
\( \frac{556737823072}{390625} a + \frac{1849158305968}{390625} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 202 a - 669\) , \( -2435 a + 8071\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(202a-669\right){x}-2435a+8071$ |
| 200.1-e1 |
200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$10.48019318$ |
3.159897137 |
\( -\frac{135168}{625} a + \frac{247808}{625} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -6 a - 18\) , \( 52 a + 173\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-18\right){x}+52a+173$ |
| 200.1-e2 |
200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{9} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$5.240096591$ |
3.159897137 |
\( -\frac{179425843432}{390625} a + \frac{595817255308}{390625} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 117 a - 387\) , \( 1500 a - 4975\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(117a-387\right){x}+1500a-4975$ |
| 200.1-e3 |
200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$20.96038636$ |
3.159897137 |
\( \frac{70243008}{625} a + \frac{234600848}{625} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 7 a - 22\) , \( 29 a - 96\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(7a-22\right){x}+29a-96$ |
| 200.1-e4 |
200.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{3} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$20.96038636$ |
3.159897137 |
\( \frac{2105151487912}{25} a + \frac{6981998611492}{25} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 57 a - 197\) , \( -336 a + 1119\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(57a-197\right){x}-336a+1119$ |
| 200.1-f1 |
200.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.094228095$ |
$5.784735435$ |
3.652675910 |
\( -\frac{135168}{625} a + \frac{247808}{625} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 18\) , \( -52 a - 173\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a-18\right){x}-52a-173$ |
| 200.1-f2 |
200.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{9} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.523557023$ |
$11.56947087$ |
3.652675910 |
\( -\frac{179425843432}{390625} a + \frac{595817255308}{390625} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 119 a - 391\) , \( -1264 a + 4193\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(119a-391\right){x}-1264a+4193$ |
| 200.1-f3 |
200.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.047114047$ |
$11.56947087$ |
3.652675910 |
\( \frac{70243008}{625} a + \frac{234600848}{625} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 9 a - 26\) , \( -13 a + 44\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(9a-26\right){x}-13a+44$ |
| 200.1-f4 |
200.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{3} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.094228095$ |
$2.892367717$ |
3.652675910 |
\( \frac{2105151487912}{25} a + \frac{6981998611492}{25} \) |
\( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 59 a - 201\) , \( 452 a - 1521\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(59a-201\right){x}+452a-1521$ |
| 200.1-g1 |
200.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{14} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.135156869$ |
$3.554961167$ |
2.897387877 |
\( -\frac{3971008512}{9765625} a - \frac{10203676672}{9765625} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -48 a - 156\) , \( 508 a + 1685\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-48a-156\right){x}+508a+1685$ |
| 200.1-g2 |
200.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{13} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$0.270313739$ |
$7.109922335$ |
2.897387877 |
\( \frac{556737823072}{390625} a + \frac{1849158305968}{390625} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 200 a - 665\) , \( 2837 a - 9409\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(200a-665\right){x}+2837a-9409$ |
| 200.1-h1 |
200.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.094228095$ |
$5.784735435$ |
3.652675910 |
\( \frac{135168}{625} a + \frac{247808}{625} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 6 a - 18\) , \( 52 a - 173\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(6a-18\right){x}+52a-173$ |
| 200.1-h2 |
200.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{6} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.047114047$ |
$11.56947087$ |
3.652675910 |
\( -\frac{70243008}{625} a + \frac{234600848}{625} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -9 a - 26\) , \( 13 a + 44\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-9a-26\right){x}+13a+44$ |
| 200.1-h3 |
200.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{3} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$2.094228095$ |
$2.892367717$ |
3.652675910 |
\( -\frac{2105151487912}{25} a + \frac{6981998611492}{25} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -59 a - 201\) , \( -452 a - 1521\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-59a-201\right){x}-452a-1521$ |
| 200.1-h4 |
200.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{9} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.523557023$ |
$11.56947087$ |
3.652675910 |
\( \frac{179425843432}{390625} a + \frac{595817255308}{390625} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -119 a - 391\) , \( 1264 a + 4193\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-119a-391\right){x}+1264a+4193$ |
| 200.1-i1 |
200.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{14} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 5 \) |
$0.135156869$ |
$3.554961167$ |
2.897387877 |
\( \frac{3971008512}{9765625} a - \frac{10203676672}{9765625} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 48 a - 156\) , \( -508 a + 1685\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(48a-156\right){x}-508a+1685$ |
| 200.1-i2 |
200.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{13} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$0.270313739$ |
$7.109922335$ |
2.897387877 |
\( -\frac{556737823072}{390625} a + \frac{1849158305968}{390625} \) |
\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -200 a - 665\) , \( -2837 a - 9409\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-200a-665\right){x}-2837a-9409$ |
| 200.1-j1 |
200.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{8} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.544509781$ |
$4.406960782$ |
2.894066593 |
\( \frac{237276}{625} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 198 a + 658\) , \( -4566 a - 15144\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(198a+658\right){x}-4566a-15144$ |
| 200.1-j2 |
200.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{4} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.089019562$ |
$17.62784313$ |
2.894066593 |
\( \frac{148176}{25} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -102 a - 337\) , \( -1174 a - 3894\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-102a-337\right){x}-1174a-3894$ |
| 200.1-j3 |
200.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.178039125$ |
$35.25568626$ |
2.894066593 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) |
${y}^2={x}^{3}-2{x}+1$ |
| 200.1-j4 |
200.1-j |
$4$ |
$4$ |
\(\Q(\sqrt{11}) \) |
$2$ |
$[2, 0]$ |
200.1 |
\( 2^{3} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$2.22906$ |
$(a+3), (a-4), (-a-4)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.178039125$ |
$4.406960782$ |
2.894066593 |
\( \frac{132304644}{5} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( -1602 a - 5312\) , \( -68004 a - 225544\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-1602a-5312\right){x}-68004a-225544$ |
*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.
