| 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 |
| 65.2-a1 |
65.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.2 |
\( 5 \cdot 13 \) |
\( 5^{9} \cdot 13^{2} \) |
$0.50745$ |
$(-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.850436644$ |
0.425218322 |
\( -\frac{157034896049234432}{330078125} a - \frac{128574568523373376}{330078125} \) |
\( \bigl[i + 1\) , \( 0\) , \( i\) , \( 239 i - 399\) , \( -2869 i + 2627\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(239i-399\right){x}-2869i+2627$ |
| 65.2-a2 |
65.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.2 |
\( 5 \cdot 13 \) |
\( 5^{6} \cdot 13^{3} \) |
$0.50745$ |
$(-a-2), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.551309934$ |
0.425218322 |
\( -\frac{2088753403392}{34328125} a - \frac{1627055822656}{34328125} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 1\) , \( -15 i + 3\) , \( 7 i - 14\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-15i+3\right){x}+7i-14$ |
| 65.2-a3 |
65.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.2 |
\( 5 \cdot 13 \) |
\( 5^{2} \cdot 13 \) |
$0.50745$ |
$(-a-2), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$7.653929802$ |
0.425218322 |
\( \frac{732672}{325} a - \frac{3306304}{325} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 1\) , \( -2\) , \( -i - 1\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}-2{x}-i-1$ |
| 65.2-a4 |
65.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.2 |
\( 5 \cdot 13 \) |
\( 5^{18} \cdot 13 \) |
$0.50745$ |
$(-a-2), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.850436644$ |
0.425218322 |
\( \frac{1110974116587520512}{49591064453125} a - \frac{489671365797093184}{49591064453125} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 1\) , \( -60 i + 98\) , \( 372 i + 410\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-60i+98\right){x}+372i+410$ |
| 65.2-a5 |
65.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.2 |
\( 5 \cdot 13 \) |
\( 5 \cdot 13^{2} \) |
$0.50745$ |
$(-a-2), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$7.653929802$ |
0.425218322 |
\( -\frac{1183232}{845} a - \frac{851776}{845} \) |
\( \bigl[i + 1\) , \( 0\) , \( i\) , \( -i + 1\) , \( 0\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}$ |
| 65.2-a6 |
65.2-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.2 |
\( 5 \cdot 13 \) |
\( 5^{3} \cdot 13^{6} \) |
$0.50745$ |
$(-a-2), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.551309934$ |
0.425218322 |
\( \frac{356394317312}{603351125} a + \frac{580261889216}{603351125} \) |
\( \bigl[i + 1\) , \( 0\) , \( i\) , \( 4 i - 4\) , \( -2 i + 5\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(4i-4\right){x}-2i+5$ |
| 65.3-a1 |
65.3-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.3 |
\( 5 \cdot 13 \) |
\( 5^{9} \cdot 13^{2} \) |
$0.50745$ |
$(2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.850436644$ |
0.425218322 |
\( \frac{157034896049234432}{330078125} a - \frac{128574568523373376}{330078125} \) |
\( \bigl[i + 1\) , \( -i\) , \( i\) , \( -240 i - 399\) , \( 2869 i + 2627\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-240i-399\right){x}+2869i+2627$ |
| 65.3-a2 |
65.3-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.3 |
\( 5 \cdot 13 \) |
\( 5^{6} \cdot 13^{3} \) |
$0.50745$ |
$(2a+1), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.551309934$ |
0.425218322 |
\( \frac{2088753403392}{34328125} a - \frac{1627055822656}{34328125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i\) , \( 14 i + 4\) , \( 7 i + 14\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(14i+4\right){x}+7i+14$ |
| 65.3-a3 |
65.3-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.3 |
\( 5 \cdot 13 \) |
\( 5^{2} \cdot 13 \) |
$0.50745$ |
$(2a+1), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$7.653929802$ |
0.425218322 |
\( -\frac{732672}{325} a - \frac{3306304}{325} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i\) , \( -i - 1\) , \( -i + 1\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-i-1\right){x}-i+1$ |
| 65.3-a4 |
65.3-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.3 |
\( 5 \cdot 13 \) |
\( 5^{18} \cdot 13 \) |
$0.50745$ |
$(2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.850436644$ |
0.425218322 |
\( -\frac{1110974116587520512}{49591064453125} a - \frac{489671365797093184}{49591064453125} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i\) , \( 59 i + 99\) , \( 372 i - 410\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(59i+99\right){x}+372i-410$ |
| 65.3-a5 |
65.3-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.3 |
\( 5 \cdot 13 \) |
\( 5 \cdot 13^{2} \) |
$0.50745$ |
$(2a+1), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$7.653929802$ |
0.425218322 |
\( \frac{1183232}{845} a - \frac{851776}{845} \) |
\( \bigl[i + 1\) , \( -i\) , \( i\) , \( 1\) , \( 0\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-i{x}^{2}+{x}$ |
| 65.3-a6 |
65.3-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
65.3 |
\( 5 \cdot 13 \) |
\( 5^{3} \cdot 13^{6} \) |
$0.50745$ |
$(2a+1), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.551309934$ |
0.425218322 |
\( -\frac{356394317312}{603351125} a + \frac{580261889216}{603351125} \) |
\( \bigl[i + 1\) , \( -i\) , \( i\) , \( -5 i - 4\) , \( 2 i + 5\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-5i-4\right){x}+2i+5$ |
| 106.1-a1 |
106.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
106.1 |
\( 2 \cdot 53 \) |
\( 2^{9} \cdot 53 \) |
$0.57345$ |
$(a+1), (-2a+7)$ |
0 |
$\Z/9\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$5.985343332$ |
0.665038148 |
\( -\frac{24565}{1696} a + \frac{44217}{1696} \) |
\( \bigl[1\) , \( i - 1\) , \( i + 1\) , \( -i - 1\) , \( 0\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-i-1\right){x}$ |
| 106.1-a2 |
106.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
106.1 |
\( 2 \cdot 53 \) |
\( 2 \cdot 53^{9} \) |
$0.57345$ |
$(a+1), (-2a+7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$1$ |
$0.665038148$ |
0.665038148 |
\( \frac{2664717683643388715}{6599527183604266} a + \frac{2995316993300077017}{6599527183604266} \) |
\( \bigl[1\) , \( i - 1\) , \( i + 1\) , \( -76 i + 14\) , \( 225 i + 345\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-76i+14\right){x}+225i+345$ |
| 106.1-a3 |
106.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
106.1 |
\( 2 \cdot 53 \) |
\( 2^{3} \cdot 53^{3} \) |
$0.57345$ |
$(a+1), (-2a+7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3 \) |
$1$ |
$1.995114444$ |
0.665038148 |
\( \frac{12075196954415}{595508} a + \frac{199712312811}{595508} \) |
\( \bigl[1\) , \( i - 1\) , \( i + 1\) , \( -51 i - 31\) , \( 174 i + 30\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-51i-31\right){x}+174i+30$ |
| 106.2-a1 |
106.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
106.2 |
\( 2 \cdot 53 \) |
\( 2^{9} \cdot 53 \) |
$0.57345$ |
$(a+1), (2a+7)$ |
0 |
$\Z/9\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$5.985343332$ |
0.665038148 |
\( \frac{24565}{1696} a + \frac{44217}{1696} \) |
\( \bigl[1\) , \( -i - 1\) , \( i + 1\) , \( -1\) , \( -i\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}-{x}-i$ |
| 106.2-a2 |
106.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
106.2 |
\( 2 \cdot 53 \) |
\( 2 \cdot 53^{9} \) |
$0.57345$ |
$(a+1), (2a+7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3B.1.2 |
$1$ |
\( 1 \) |
$1$ |
$0.665038148$ |
0.665038148 |
\( -\frac{2664717683643388715}{6599527183604266} a + \frac{2995316993300077017}{6599527183604266} \) |
\( \bigl[1\) , \( -i - 1\) , \( i + 1\) , \( 75 i + 14\) , \( -226 i + 345\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(75i+14\right){x}-226i+345$ |
| 106.2-a3 |
106.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
106.2 |
\( 2 \cdot 53 \) |
\( 2^{3} \cdot 53^{3} \) |
$0.57345$ |
$(a+1), (2a+7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3 \) |
$1$ |
$1.995114444$ |
0.665038148 |
\( -\frac{12075196954415}{595508} a + \frac{199712312811}{595508} \) |
\( \bigl[1\) , \( -i - 1\) , \( i + 1\) , \( 50 i - 31\) , \( -175 i + 30\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(50i-31\right){x}-175i+30$ |
| 130.1-a1 |
130.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.1 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5^{9} \cdot 13 \) |
$0.60347$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.960726389$ |
0.480363194 |
\( \frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[i\) , \( -i + 1\) , \( i\) , \( 89 i - 50\) , \( -368 i + 14\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(89i-50\right){x}-368i+14$ |
| 130.1-a2 |
130.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.1 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{6} \cdot 5^{3} \cdot 13^{3} \) |
$0.60347$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.882179168$ |
0.480363194 |
\( -\frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[i\) , \( -i + 1\) , \( i\) , \( 9 i + 5\) , \( 2 i + 18\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(9i+5\right){x}+2i+18$ |
| 130.1-a3 |
130.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.1 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{3} \cdot 5^{6} \cdot 13^{6} \) |
$0.60347$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.441089584$ |
0.480363194 |
\( -\frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) |
\( \bigl[i\) , \( -i + 1\) , \( i\) , \( -i + 15\) , \( 30 i + 30\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-i+15\right){x}+30i+30$ |
| 130.1-a4 |
130.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.1 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{9} \cdot 5^{18} \cdot 13^{2} \) |
$0.60347$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$0.480363194$ |
0.480363194 |
\( \frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) |
\( \bigl[i\) , \( -i + 1\) , \( i\) , \( 9 i - 130\) , \( -688 i - 882\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(9i-130\right){x}-688i-882$ |
| 130.1-a5 |
130.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.1 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{2} \cdot 5 \cdot 13 \) |
$0.60347$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$8.646537506$ |
0.480363194 |
\( -\frac{31409}{130} a + \frac{101344}{65} \) |
\( \bigl[i\) , \( -i + 1\) , \( i\) , \( -i\) , \( 0\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}-i{x}$ |
| 130.1-a6 |
130.1-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.1 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
$0.60347$ |
$(a+1), (-a-2), (-3a-2)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$4.323268753$ |
0.480363194 |
\( -\frac{4406742137}{8450} a + \frac{1310300809}{8450} \) |
\( \bigl[i\) , \( -i + 1\) , \( i\) , \( -6 i - 5\) , \( 8 i\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-6i-5\right){x}+8i$ |
| 130.4-a1 |
130.4-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.4 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5^{9} \cdot 13 \) |
$0.60347$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.960726389$ |
0.480363194 |
\( -\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[i\) , \( i + 1\) , \( i\) , \( -89 i - 50\) , \( 368 i + 14\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-89i-50\right){x}+368i+14$ |
| 130.4-a2 |
130.4-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.4 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{6} \cdot 5^{3} \cdot 13^{3} \) |
$0.60347$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.882179168$ |
0.480363194 |
\( \frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[i\) , \( i + 1\) , \( i\) , \( -9 i + 5\) , \( -2 i + 18\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-9i+5\right){x}-2i+18$ |
| 130.4-a3 |
130.4-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.4 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{3} \cdot 5^{6} \cdot 13^{6} \) |
$0.60347$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$1.441089584$ |
0.480363194 |
\( \frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) |
\( \bigl[i\) , \( i + 1\) , \( i\) , \( i + 15\) , \( -30 i + 30\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(i+15\right){x}-30i+30$ |
| 130.4-a4 |
130.4-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.4 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{9} \cdot 5^{18} \cdot 13^{2} \) |
$0.60347$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2^{2} \) |
$1$ |
$0.480363194$ |
0.480363194 |
\( -\frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) |
\( \bigl[i\) , \( i + 1\) , \( i\) , \( -9 i - 130\) , \( 688 i - 882\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-9i-130\right){x}+688i-882$ |
| 130.4-a5 |
130.4-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.4 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2^{2} \cdot 5 \cdot 13 \) |
$0.60347$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \) |
$1$ |
$8.646537506$ |
0.480363194 |
\( \frac{31409}{130} a + \frac{101344}{65} \) |
\( \bigl[i\) , \( i + 1\) , \( i\) , \( i\) , \( 0\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+i{x}$ |
| 130.4-a6 |
130.4-a |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
130.4 |
\( 2 \cdot 5 \cdot 13 \) |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
$0.60347$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$4.323268753$ |
0.480363194 |
\( \frac{4406742137}{8450} a + \frac{1310300809}{8450} \) |
\( \bigl[i\) , \( i + 1\) , \( i\) , \( 6 i - 5\) , \( -8 i\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(6i-5\right){x}-8i$ |
| 160.1-a1 |
160.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.1 |
\( 2^{5} \cdot 5 \) |
\( 2^{9} \cdot 5^{2} \) |
$0.63562$ |
$(a+1), (-a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.625246994$ |
0.656311748 |
\( -\frac{358400014}{25} a - \frac{1259500802}{25} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 37 i - 5\) , \( 88 i + 53\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(37i-5\right){x}+88i+53$ |
| 160.1-a2 |
160.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.1 |
\( 2^{5} \cdot 5 \) |
\( 2^{12} \cdot 5 \) |
$0.63562$ |
$(a+1), (-a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( -\frac{51328}{5} a - \frac{73024}{5} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -2 i + 1\) , \( -i + 3\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-2i+1\right){x}-i+3$ |
| 160.1-a3 |
160.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.1 |
\( 2^{5} \cdot 5 \) |
\( 2^{12} \cdot 5^{2} \) |
$0.63562$ |
$(a+1), (-a-2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( -\frac{11136}{25} a - \frac{10048}{25} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 1\) , \( -i + 1\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+{x}-i+1$ |
| 160.1-a4 |
160.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.1 |
\( 2^{5} \cdot 5 \) |
\( 2^{6} \cdot 5^{4} \) |
$0.63562$ |
$(a+1), (-a-2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( \frac{4463256}{625} a - \frac{162592}{625} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 2 i\) , \( -2 i - 1\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+2i{x}-2i-1$ |
| 160.1-a5 |
160.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.1 |
\( 2^{5} \cdot 5 \) |
\( 2^{9} \cdot 5^{8} \) |
$0.63562$ |
$(a+1), (-a-2)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.625246994$ |
0.656311748 |
\( -\frac{2033300354}{390625} a + \frac{130878178}{390625} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 7 i + 5\) , \( -4 i + 7\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(7i+5\right){x}-4i+7$ |
| 160.1-a6 |
160.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.1 |
\( 2^{5} \cdot 5 \) |
\( 2^{6} \cdot 5 \) |
$0.63562$ |
$(a+1), (-a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( \frac{5120008}{5} a + \frac{3690224}{5} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( i + 1\) , \( -4 i - 5\) , \( 3 i + 2\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-4i-5\right){x}+3i+2$ |
| 160.2-a1 |
160.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.2 |
\( 2^{5} \cdot 5 \) |
\( 2^{9} \cdot 5^{2} \) |
$0.63562$ |
$(a+1), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.625246994$ |
0.656311748 |
\( \frac{358400014}{25} a - \frac{1259500802}{25} \) |
\( \bigl[i + 1\) , \( 1\) , \( 0\) , \( -37 i - 5\) , \( -88 i + 53\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-37i-5\right){x}-88i+53$ |
| 160.2-a2 |
160.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.2 |
\( 2^{5} \cdot 5 \) |
\( 2^{12} \cdot 5 \) |
$0.63562$ |
$(a+1), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( \frac{51328}{5} a - \frac{73024}{5} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 2 i + 1\) , \( i + 3\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(2i+1\right){x}+i+3$ |
| 160.2-a3 |
160.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.2 |
\( 2^{5} \cdot 5 \) |
\( 2^{12} \cdot 5^{2} \) |
$0.63562$ |
$(a+1), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( \frac{11136}{25} a - \frac{10048}{25} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 1\) , \( -i - 1\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+{x}-i-1$ |
| 160.2-a4 |
160.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.2 |
\( 2^{5} \cdot 5 \) |
\( 2^{6} \cdot 5^{4} \) |
$0.63562$ |
$(a+1), (2a+1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( -\frac{4463256}{625} a - \frac{162592}{625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -2 i\) , \( 2 i - 1\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}-2i{x}+2i-1$ |
| 160.2-a5 |
160.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.2 |
\( 2^{5} \cdot 5 \) |
\( 2^{9} \cdot 5^{8} \) |
$0.63562$ |
$(a+1), (2a+1)$ |
0 |
$\Z/8\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$2.625246994$ |
0.656311748 |
\( \frac{2033300354}{390625} a + \frac{130878178}{390625} \) |
\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( -7 i + 5\) , \( 4 i + 7\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-7i+5\right){x}+4i+7$ |
| 160.2-a6 |
160.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
160.2 |
\( 2^{5} \cdot 5 \) |
\( 2^{6} \cdot 5 \) |
$0.63562$ |
$(a+1), (2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$5.250493988$ |
0.656311748 |
\( -\frac{5120008}{5} a + \frac{3690224}{5} \) |
\( \bigl[i + 1\) , \( 1\) , \( i + 1\) , \( 2 i - 5\) , \( -4 i + 2\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+{x}^{2}+\left(2i-5\right){x}-4i+2$ |
| 164.1-a1 |
164.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.1 |
\( 2^{2} \cdot 41 \) |
\( 2^{8} \cdot 41^{2} \) |
$0.63956$ |
$(a+1), (-5a-4)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$4.031018376$ |
0.671836396 |
\( -\frac{31900500}{1681} a - \frac{16234000}{1681} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 5 i\) , \( 4 i + 1\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+5i{x}+4i+1$ |
| 164.1-a2 |
164.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.1 |
\( 2^{2} \cdot 41 \) |
\( 2^{4} \cdot 41 \) |
$0.63956$ |
$(a+1), (-5a-4)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 3 \) |
$1$ |
$8.062036753$ |
0.671836396 |
\( -\frac{8000}{41} a - \frac{10000}{41} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -i\) , \( 0\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}-i{x}$ |
| 164.1-a3 |
164.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.1 |
\( 2^{2} \cdot 41 \) |
\( 2^{8} \cdot 41^{6} \) |
$0.63956$ |
$(a+1), (-5a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$1.343672792$ |
0.671836396 |
\( -\frac{1738556671500}{4750104241} a + \frac{8976187310000}{4750104241} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( -25 i - 10\) , \( 10 i + 15\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-25i-10\right){x}+10i+15$ |
| 164.1-a4 |
164.1-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.1 |
\( 2^{2} \cdot 41 \) |
\( 2^{4} \cdot 41^{3} \) |
$0.63956$ |
$(a+1), (-5a-4)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 1 \) |
$1$ |
$2.687345584$ |
0.671836396 |
\( -\frac{61378168000}{68921} a + \frac{50010422000}{68921} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( -21 i - 10\) , \( -38 i + 18\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-21i-10\right){x}-38i+18$ |
| 164.2-a1 |
164.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.2 |
\( 2^{2} \cdot 41 \) |
\( 2^{8} \cdot 41^{2} \) |
$0.63956$ |
$(a+1), (4a+5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$4.031018376$ |
0.671836396 |
\( \frac{31900500}{1681} a - \frac{16234000}{1681} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( -4 i\) , \( -4 i + 6\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}-4i{x}-4i+6$ |
| 164.2-a2 |
164.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.2 |
\( 2^{2} \cdot 41 \) |
\( 2^{4} \cdot 41 \) |
$0.63956$ |
$(a+1), (4a+5)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 3 \) |
$1$ |
$8.062036753$ |
0.671836396 |
\( \frac{8000}{41} a - \frac{10000}{41} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -2 i\) , \( 0\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}-2i{x}$ |
| 164.2-a3 |
164.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.2 |
\( 2^{2} \cdot 41 \) |
\( 2^{8} \cdot 41^{6} \) |
$0.63956$ |
$(a+1), (4a+5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$1.343672792$ |
0.671836396 |
\( \frac{1738556671500}{4750104241} a + \frac{8976187310000}{4750104241} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( 0\) , \( 26 i - 10\) , \( -20 i - 10\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(26i-10\right){x}-20i-10$ |
| 164.2-a4 |
164.2-a |
$4$ |
$6$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
164.2 |
\( 2^{2} \cdot 41 \) |
\( 2^{4} \cdot 41^{3} \) |
$0.63956$ |
$(a+1), (4a+5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 1 \) |
$1$ |
$2.687345584$ |
0.671836396 |
\( \frac{61378168000}{68921} a + \frac{50010422000}{68921} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 18 i - 10\) , \( 28 i - 2\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(18i-10\right){x}+28i-2$ |
*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.
