| 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 |
| 1600.1-a1 |
1600.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.594257070$ |
0.521843121 |
\( -\frac{5311676404804}{3125} a + \frac{14826424557624}{3125} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -106 a - 321\) , \( 601 a + 605\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-106a-321\right){x}+601a+605$ |
| 1600.1-a2 |
1600.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{16} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.797128535$ |
0.521843121 |
\( -\frac{50328504226}{9765625} a + \frac{779012411206}{9765625} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -1066 a - 2041\) , \( -30007 a - 54219\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-1066a-2041\right){x}-30007a-54219$ |
| 1600.1-b1 |
1600.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.965831722$ |
$2.374568945$ |
6.005619984 |
\( -\frac{5702836}{15625} a + \frac{16565116}{15625} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2 a + 15\) , \( -17 a - 17\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+15\right){x}-17a-17$ |
| 1600.1-b2 |
1600.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.482915861$ |
$9.498275782$ |
6.005619984 |
\( \frac{431024}{125} a + \frac{989856}{125} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2 a - 5\) , \( -a - 5\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-5\right){x}-a-5$ |
| 1600.1-c1 |
1600.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.683761292$ |
$4.075980709$ |
2.432691154 |
\( \frac{237276}{625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 65 a + 117\) , \( 816 a + 1462\bigr] \) |
${y}^2={x}^{3}+\left(65a+117\right){x}+816a+1462$ |
| 1600.1-c2 |
1600.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.341880646$ |
$16.30392283$ |
2.432691154 |
\( \frac{148176}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -35 a - 63\) , \( 144 a + 258\bigr] \) |
${y}^2={x}^{3}+\left(-35a-63\right){x}+144a+258$ |
| 1600.1-c3 |
1600.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.683761292$ |
$16.30392283$ |
2.432691154 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 10 a - 28\) , \( 24 a - 67\bigr] \) |
${y}^2={x}^{3}+\left(10a-28\right){x}+24a-67$ |
| 1600.1-c4 |
1600.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$0.683761292$ |
$16.30392283$ |
2.432691154 |
\( \frac{132304644}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 535 a - 1498\) , \( -10224 a + 28542\bigr] \) |
${y}^2={x}^{3}+\left(535a-1498\right){x}-10224a+28542$ |
| 1600.1-d1 |
1600.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{16} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.546954721$ |
2.778955429 |
\( \frac{50328504226}{9765625} a + \frac{145736781396}{1953125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -624 a - 1336\) , \( 14144 a + 26636\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-624a-1336\right){x}+14144a+26636$ |
| 1600.1-d2 |
1600.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$5.093909443$ |
2.778955429 |
\( \frac{5311676404804}{3125} a + \frac{1902949630564}{625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -664 a - 1216\) , \( 14512 a + 25980\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-664a-1216\right){x}+14512a+25980$ |
| 1600.1-e1 |
1600.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.360584082$ |
$6.750526694$ |
3.477342639 |
\( -\frac{108}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -a - 2\) , \( 8 a + 14\bigr] \) |
${y}^2={x}^{3}+\left(-a-2\right){x}+8a+14$ |
| 1600.1-e2 |
1600.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.180292041$ |
$6.750526694$ |
3.477342639 |
\( \frac{3721734}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -41 a - 82\) , \( 232 a + 406\bigr] \) |
${y}^2={x}^{3}+\left(-41a-82\right){x}+232a+406$ |
| 1600.1-f1 |
1600.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.608507815$ |
$3.765262015$ |
1.999915781 |
\( \frac{5702836}{15625} a + \frac{2172456}{3125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 80 a + 144\) , \( 80 a + 144\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(80a+144\right){x}+80a+144$ |
| 1600.1-f2 |
1600.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.304253907$ |
$15.06104806$ |
1.999915781 |
\( -\frac{431024}{125} a + \frac{284176}{25} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -20 a - 36\) , \( 0\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-20a-36\right){x}$ |
| 1600.1-g1 |
1600.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{16} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.797128535$ |
0.521843121 |
\( \frac{50328504226}{9765625} a + \frac{145736781396}{1953125} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 1066 a - 3107\) , \( 30007 a - 84226\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(1066a-3107\right){x}+30007a-84226$ |
| 1600.1-g2 |
1600.1-g |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$1.594257070$ |
0.521843121 |
\( \frac{5311676404804}{3125} a + \frac{1902949630564}{625} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 106 a - 427\) , \( -601 a + 1206\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(106a-427\right){x}-601a+1206$ |
| 1600.1-h1 |
1600.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$2.003472968$ |
$2.203480391$ |
3.853390490 |
\( \frac{237276}{625} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 13\) , \( -34\bigr] \) |
${y}^2={x}^{3}+13{x}-34$ |
| 1600.1-h2 |
1600.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.001736484$ |
$8.813921565$ |
3.853390490 |
\( \frac{148176}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -7\) , \( -6\bigr] \) |
${y}^2={x}^{3}-7{x}-6$ |
| 1600.1-h3 |
1600.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{2} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.003472968$ |
$35.25568626$ |
3.853390490 |
\( \frac{55296}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( 1\bigr] \) |
${y}^2={x}^{3}-2{x}+1$ |
| 1600.1-h4 |
1600.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$2.003472968$ |
$2.203480391$ |
3.853390490 |
\( \frac{132304644}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -107\) , \( -426\bigr] \) |
${y}^2={x}^{3}-107{x}-426$ |
| 1600.1-i1 |
1600.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.965831722$ |
$2.374568945$ |
6.005619984 |
\( \frac{5702836}{15625} a + \frac{2172456}{3125} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a + 13\) , \( 17 a - 34\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(2a+13\right){x}+17a-34$ |
| 1600.1-i2 |
1600.1-i |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.482915861$ |
$9.498275782$ |
6.005619984 |
\( -\frac{431024}{125} a + \frac{284176}{25} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 2 a - 7\) , \( a - 6\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(2a-7\right){x}+a-6$ |
| 1600.1-j1 |
1600.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{2} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$2.360584082$ |
$6.750526694$ |
3.477342639 |
\( -\frac{108}{5} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( a - 3\) , \( -8 a + 22\bigr] \) |
${y}^2={x}^{3}+\left(a-3\right){x}-8a+22$ |
| 1600.1-j2 |
1600.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.180292041$ |
$6.750526694$ |
3.477342639 |
\( \frac{3721734}{25} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 41 a - 123\) , \( -232 a + 638\bigr] \) |
${y}^2={x}^{3}+\left(41a-123\right){x}-232a+638$ |
| 1600.1-k1 |
1600.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$1$ |
$5.093909443$ |
2.778955429 |
\( -\frac{5311676404804}{3125} a + \frac{14826424557624}{3125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 664 a - 1880\) , \( -14512 a + 40492\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(664a-1880\right){x}-14512a+40492$ |
| 1600.1-k2 |
1600.1-k |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{16} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.546954721$ |
2.778955429 |
\( -\frac{50328504226}{9765625} a + \frac{779012411206}{9765625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 624 a - 1960\) , \( -14144 a + 40780\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(624a-1960\right){x}-14144a+40780$ |
| 1600.1-l1 |
1600.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{20} \cdot 5^{8} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.608507815$ |
$3.765262015$ |
1.999915781 |
\( -\frac{5702836}{15625} a + \frac{16565116}{15625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -80 a + 224\) , \( -80 a + 224\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-80a+224\right){x}-80a+224$ |
| 1600.1-l2 |
1600.1-l |
$2$ |
$2$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
1600.1 |
\( 2^{6} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{4} \) |
$2.58987$ |
$(-a), (-a+1), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.304253907$ |
$15.06104806$ |
1.999915781 |
\( \frac{431024}{125} a + \frac{989856}{125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 20 a - 56\) , \( 0\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(20a-56\right){x}$ |
*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.
