| 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 |
| 33800.5-a1 |
33800.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{8} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.515656248$ |
$1.069194786$ |
4.410695784 |
\( \frac{208974222}{142805} \) |
\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i - 40\) , \( 20 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i-40\right){x}+20i$ |
| 33800.5-a2 |
33800.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 13^{4} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.128914062$ |
$2.138389573$ |
4.410695784 |
\( \frac{8586756}{4225} \) |
\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 10\) , \( 10 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+10\right){x}+10i$ |
| 33800.5-a3 |
33800.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.515656248$ |
$4.276779146$ |
4.410695784 |
\( \frac{5256144}{65} \) |
\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 5\) , \( -3 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+5\right){x}-3i$ |
| 33800.5-a4 |
33800.5-a |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{8} \cdot 13^{2} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.515656248$ |
$1.069194786$ |
4.410695784 |
\( \frac{9636491538}{8125} \) |
\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -i + 140\) , \( 712 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i+140\right){x}+712i$ |
| 33800.5-b1 |
33800.5-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{7} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.137799407$ |
$2.259294697$ |
3.735953643 |
\( -\frac{828657216}{2640625} a + \frac{2120756688}{2640625} \) |
\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 3 i - 7\) , \( -11 i - 6\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(3i-7\right){x}-11i-6$ |
| 33800.5-b2 |
33800.5-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{5} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.068899703$ |
$2.259294697$ |
3.735953643 |
\( \frac{20901888}{21125} a + \frac{66410496}{21125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 4 i - 10\) , \( -4 i + 9\bigr] \) |
${y}^2={x}^{3}+\left(4i-10\right){x}-4i+9$ |
| 33800.5-c1 |
33800.5-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{7} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.137799407$ |
$2.259294697$ |
3.735953643 |
\( \frac{828657216}{2640625} a + \frac{2120756688}{2640625} \) |
\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -5 i - 7\) , \( -11 i + 6\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-5i-7\right){x}-11i+6$ |
| 33800.5-c2 |
33800.5-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{5} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.068899703$ |
$2.259294697$ |
3.735953643 |
\( -\frac{20901888}{21125} a + \frac{66410496}{21125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -4 i - 10\) , \( 4 i + 9\bigr] \) |
${y}^2={x}^{3}+\left(-4i-10\right){x}+4i+9$ |
| 33800.5-d1 |
33800.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 13^{4} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.500172487$ |
$2.200471793$ |
4.402461800 |
\( -\frac{4}{4225} \) |
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i\) , \( -13 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}-13i$ |
| 33800.5-d2 |
33800.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{5} \cdot 13^{5} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.000344974$ |
$1.100235896$ |
4.402461800 |
\( -\frac{27865918094}{17850625} a + \frac{947235941608}{17850625} \) |
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( 69 i - 40\) , \( -281 i - 14\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(69i-40\right){x}-281i-14$ |
| 33800.5-d3 |
33800.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{5} \cdot 13^{5} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1.000344974$ |
$1.100235896$ |
4.402461800 |
\( \frac{27865918094}{17850625} a + \frac{947235941608}{17850625} \) |
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -71 i - 40\) , \( -281 i + 14\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-71i-40\right){x}-281i+14$ |
| 33800.5-d4 |
33800.5-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1.000344974$ |
$4.400943587$ |
4.402461800 |
\( \frac{3631696}{65} \) |
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i + 5\) , \( -4 i\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+5\right){x}-4i$ |
| 33800.5-e1 |
33800.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{3} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.336879464$ |
2.695035714 |
\( -\frac{4192584101888014}{4225} a - \frac{2470849262419208}{4225} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 4853 i - 2773\) , \( -158774 i - 1193\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(4853i-2773\right){x}-158774i-1193$ |
| 33800.5-e2 |
33800.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 13^{6} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.673758928$ |
2.695035714 |
\( \frac{16633923561024}{17850625} a - \frac{9491393142532}{17850625} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 303 i - 173\) , \( -2384 i - 23\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(303i-173\right){x}-2384i-23$ |
| 33800.5-e3 |
33800.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 13^{9} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.673758928$ |
2.695035714 |
\( -\frac{1369526428247104}{20393268025} a - \frac{126154776881612}{20393268025} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 223 i + 17\) , \( -864 i - 1063\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(223i+17\right){x}-864i-1063$ |
| 33800.5-e4 |
33800.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{9} \cdot 13^{9} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.336879464$ |
2.695035714 |
\( -\frac{238668725834156786}{318644812890625} a + \frac{38062258332447448}{318644812890625} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 233 i - 213\) , \( -3026 i - 1077\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(233i-213\right){x}-3026i-1077$ |
| 33800.5-e5 |
33800.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{6} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$1.347517857$ |
2.695035714 |
\( \frac{12750076416}{17850625} a + \frac{24074423888}{17850625} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 23 i - 8\) , \( -21 i + 18\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(23i-8\right){x}-21i+18$ |
| 33800.5-e6 |
33800.5-e |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.347517857$ |
2.695035714 |
\( -\frac{60014821376}{66015625} a + \frac{118922770432}{66015625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 26 i - 2\) , \( 4 i + 25\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(26i-2\right){x}+4i+25$ |
| 33800.5-f1 |
33800.5-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{3} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$16$ |
\( 2^{3} \) |
$1$ |
$0.336879464$ |
2.695035714 |
\( \frac{4192584101888014}{4225} a - \frac{2470849262419208}{4225} \) |
\( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -4853 i - 2773\) , \( 158774 i - 1193\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-4853i-2773\right){x}+158774i-1193$ |
| 33800.5-f2 |
33800.5-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 13^{6} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.673758928$ |
2.695035714 |
\( -\frac{16633923561024}{17850625} a - \frac{9491393142532}{17850625} \) |
\( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -303 i - 173\) , \( 2384 i - 23\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-303i-173\right){x}+2384i-23$ |
| 33800.5-f3 |
33800.5-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 13^{9} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.673758928$ |
2.695035714 |
\( \frac{1369526428247104}{20393268025} a - \frac{126154776881612}{20393268025} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -223 i + 17\) , \( 864 i - 1063\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-223i+17\right){x}+864i-1063$ |
| 33800.5-f4 |
33800.5-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{9} \cdot 13^{9} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.336879464$ |
2.695035714 |
\( \frac{238668725834156786}{318644812890625} a + \frac{38062258332447448}{318644812890625} \) |
\( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -233 i - 213\) , \( 3026 i - 1077\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-233i-213\right){x}+3026i-1077$ |
| 33800.5-f5 |
33800.5-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 13^{6} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$1.347517857$ |
2.695035714 |
\( -\frac{12750076416}{17850625} a + \frac{24074423888}{17850625} \) |
\( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -23 i - 8\) , \( 21 i + 18\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-23i-8\right){x}+21i+18$ |
| 33800.5-f6 |
33800.5-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
33800.5 |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 13^{3} \) |
$2.42325$ |
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$1.347517857$ |
2.695035714 |
\( \frac{60014821376}{66015625} a + \frac{118922770432}{66015625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -26 i - 2\) , \( 4 i - 25\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-26i-2\right){x}+4i-25$ |
*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.
