| 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 |
| 66560.4-a1 |
66560.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{28} \cdot 5^{3} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.478451125$ |
1.478451125 |
\( -\frac{109298}{1625} a + \frac{1963264}{1625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -14 i + 13\) , \( 15 i - 14\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-14i+13\right){x}+15i-14$ |
| 66560.4-a2 |
66560.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{29} \cdot 5^{6} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.739225562$ |
1.478451125 |
\( \frac{321047281}{2640625} a + \frac{6395175767}{2640625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 66 i - 67\) , \( 191 i - 62\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(66i-67\right){x}+191i-62$ |
| 66560.4-b1 |
66560.4-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{27} \cdot 5^{2} \cdot 13^{6} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.610966883$ |
1.221933767 |
\( -\frac{41546262094}{120670225} a + \frac{205320721442}{120670225} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 110 i + 61\) , \( 177 i - 222\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(110i+61\right){x}+177i-222$ |
| 66560.4-b2 |
66560.4-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{24} \cdot 5 \cdot 13^{3} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.221933767$ |
1.221933767 |
\( \frac{904474088}{10985} a + \frac{641656096}{10985} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 70 i + 21\) , \( -89 i - 202\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(70i+21\right){x}-89i-202$ |
| 66560.4-c1 |
66560.4-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.559451823$ |
$3.606452212$ |
4.035272532 |
\( -\frac{351232}{65} a - \frac{43904}{65} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 5\) , \( 4 i - 1\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+5{x}+4i-1$ |
| 66560.4-c2 |
66560.4-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.279725911$ |
$1.803226106$ |
4.035272532 |
\( \frac{2903096}{4225} a - \frac{2150728}{4225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -10 i - 5\) , \( 26 i - 7\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-10i-5\right){x}+26i-7$ |
| 66560.4-d1 |
66560.4-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.538321669$ |
$2.444931454$ |
5.264638333 |
\( -\frac{2662912}{65} a - \frac{16922944}{65} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 2 i + 21\) , \( 45 i - 6\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(2i+21\right){x}+45i-6$ |
| 66560.4-d2 |
66560.4-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{24} \cdot 5^{4} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.538321669$ |
$1.222465727$ |
5.264638333 |
\( -\frac{20996208}{8125} a - \frac{1102494856}{8125} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 62 i - 45\) , \( -278 i + 57\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(62i-45\right){x}-278i+57$ |
| 66560.4-d3 |
66560.4-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.538321669$ |
$2.444931454$ |
5.264638333 |
\( \frac{631296}{4225} a + \frac{2516672}{4225} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 2 i - 5\) , \( -6 i - 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(2i-5\right){x}-6i-3$ |
| 66560.4-d4 |
66560.4-d |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{24} \cdot 5 \cdot 13^{4} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.538321669$ |
$1.222465727$ |
5.264638333 |
\( -\frac{110967056}{142805} a + \frac{597885848}{142805} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -18 i + 35\) , \( -46 i - 63\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-18i+35\right){x}-46i-63$ |
| 66560.4-e1 |
66560.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{28} \cdot 5^{3} \cdot 13^{4} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.503914775$ |
$0.438225313$ |
3.071008299 |
\( -\frac{10359522503116}{3570125} a - \frac{4364617727362}{3570125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 942 i - 179\) , \( 9945 i + 5210\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(942i-179\right){x}+9945i+5210$ |
| 66560.4-e2 |
66560.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{28} \cdot 5^{12} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$3.503914775$ |
$0.438225313$ |
3.071008299 |
\( \frac{2896194844812}{3173828125} a + \frac{3398200522034}{3173828125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -178 i + 141\) , \( 1017 i + 730\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(-178i+141\right){x}+1017i+730$ |
| 66560.4-e3 |
66560.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 5^{6} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.751957387$ |
$0.876450626$ |
3.071008299 |
\( -\frac{3643553424}{2640625} a + \frac{4710369332}{2640625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 62 i - 19\) , \( 105 i + 90\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(62i-19\right){x}+105i+90$ |
| 66560.4-e4 |
66560.4-e |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.875978693$ |
$1.752901252$ |
3.071008299 |
\( \frac{50931328}{1625} a + \frac{11807696}{1625} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 22 i - 19\) , \( -63 i + 10\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(22i-19\right){x}-63i+10$ |
| 66560.4-f1 |
66560.4-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.320181674$ |
$1.343619596$ |
3.547643937 |
\( -\frac{8646624}{4225} a - \frac{66027268}{4225} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 42 i - 5\) , \( -78 i - 65\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(42i-5\right){x}-78i-65$ |
| 66560.4-f2 |
66560.4-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{29} \cdot 5^{2} \cdot 13^{8} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.320181674$ |
$0.335904899$ |
3.547643937 |
\( \frac{94078100761841}{20393268025} a - \frac{11284537597913}{20393268025} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -518 i - 5\) , \( -2990 i + 3855\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-518i-5\right){x}-2990i+3855$ |
| 66560.4-f3 |
66560.4-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{28} \cdot 5^{4} \cdot 13^{4} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$2.640363349$ |
$0.671809798$ |
3.547643937 |
\( -\frac{15461171586}{17850625} a - \frac{9080741152}{17850625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 42 i + 75\) , \( -414 i + 223\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(42i+75\right){x}-414i+223$ |
| 66560.4-f4 |
66560.4-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.660090837$ |
$2.687239192$ |
3.547643937 |
\( \frac{75008}{65} a - \frac{29104}{65} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 2 i - 5\) , \( 2 i - 9\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(2i-5\right){x}+2i-9$ |
| 66560.4-f5 |
66560.4-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{29} \cdot 5^{8} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.320181674$ |
$0.335904899$ |
3.547643937 |
\( \frac{143087370512191}{66015625} a + \frac{29292377558137}{66015625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 602 i + 1435\) , \( -19342 i + 13743\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(602i+1435\right){x}-19342i+13743$ |
| 66560.4-f6 |
66560.4-f |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{28} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$2.640363349$ |
$0.671809798$ |
3.547643937 |
\( \frac{4355686402}{65} a + \frac{17124606704}{65} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 682 i - 85\) , \( -5502 i - 3937\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(682i-85\right){x}-5502i-3937$ |
| 66560.4-g1 |
66560.4-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{8} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.950137962$ |
$1.010888025$ |
3.841932355 |
\( \frac{1316533592}{5078125} a + \frac{4461748744}{5078125} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 6 i - 37\) , \( -74 i - 57\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(6i-37\right){x}-74i-57$ |
| 66560.4-g2 |
66560.4-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{4} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$0.475068981$ |
$2.021776050$ |
3.841932355 |
\( -\frac{77915904}{105625} a + \frac{319705472}{105625} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4 i + 13\) , \( -12 i - 3\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-4i+13\right){x}-12i-3$ |
| 66560.4-g3 |
66560.4-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{2} \cdot 13^{4} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$0.950137962$ |
$1.010888025$ |
3.841932355 |
\( \frac{7896440776}{714025} a + \frac{17300354632}{714025} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -14 i + 83\) , \( 274 i + 95\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-14i+83\right){x}+274i+95$ |
| 66560.4-g4 |
66560.4-g |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5^{2} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.950137962$ |
$2.021776050$ |
3.841932355 |
\( -\frac{1098239808}{325} a + \frac{1381370144}{325} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 16 i - 46\) , \( -78 i + 108\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(16i-46\right){x}-78i+108$ |
| 66560.4-h1 |
66560.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{27} \cdot 5^{4} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.442419294$ |
$0.852292054$ |
4.163309118 |
\( -\frac{9109431098}{8125} a - \frac{703641086}{8125} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -40 i + 216\) , \( 1264 i + 432\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-40i+216\right){x}+1264i+432$ |
| 66560.4-h2 |
66560.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{24} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.221209647$ |
$1.704584109$ |
4.163309118 |
\( -\frac{2630664}{4225} a + \frac{6709952}{4225} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 16\) , \( 16 i + 16\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+16{x}+16i+16$ |
| 66560.4-h3 |
66560.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.610604823$ |
$3.409168218$ |
4.163309118 |
\( \frac{42112}{65} a + \frac{108224}{65} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -4\) , \( 0\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}-4{x}$ |
| 66560.4-h4 |
66560.4-h |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{27} \cdot 5 \cdot 13^{4} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.442419294$ |
$0.852292054$ |
4.163309118 |
\( \frac{9896441706}{142805} a + \frac{2615329822}{142805} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 40 i + 136\) , \( -528 i + 304\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(40i+136\right){x}-528i+304$ |
| 66560.4-i1 |
66560.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$1.313678050$ |
2.627356100 |
\( \frac{529551432}{65} a - \frac{141856056}{65} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -74 i + 96\) , \( -284 i - 428\bigr] \) |
${y}^2={x}^{3}+\left(-74i+96\right){x}-284i-428$ |
| 66560.4-i2 |
66560.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5^{4} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.627356100$ |
2.627356100 |
\( \frac{43250112}{8125} a - \frac{60539616}{8125} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -4 i - 9\) , \( 8 i + 10\bigr] \) |
${y}^2={x}^{3}+\left(-4i-9\right){x}+8i+10$ |
| 66560.4-i3 |
66560.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.627356100$ |
2.627356100 |
\( -\frac{9517824}{4225} a - \frac{4503168}{4225} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -4 i + 6\) , \( -4 i - 8\bigr] \) |
${y}^2={x}^{3}+\left(-4i+6\right){x}-4i-8$ |
| 66560.4-i4 |
66560.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5 \cdot 13^{4} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.313678050$ |
2.627356100 |
\( \frac{274354776}{142805} a - \frac{143271288}{142805} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -14 i - 24\) , \( -60 i - 36\bigr] \) |
${y}^2={x}^{3}+\left(-14i-24\right){x}-60i-36$ |
| 66560.4-j1 |
66560.4-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.243141857$ |
$1.727275348$ |
3.359783495 |
\( \frac{13611976}{4225} a + \frac{12834632}{4225} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 12 i + 16\) , \( 4 i - 28\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(12i+16\right){x}+4i-28$ |
| 66560.4-j2 |
66560.4-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.486283715$ |
$3.454550697$ |
3.359783495 |
\( -\frac{697088}{65} a + \frac{409984}{65} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 2 i + 6\) , \( -8 i\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(2i+6\right){x}-8i$ |
| 66560.4-k1 |
66560.4-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{48} \cdot 5^{9} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{2} \) |
$1$ |
$0.169834036$ |
1.528506326 |
\( -\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 1612 i - 2864\) , \( 52092 i - 51060\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(1612i-2864\right){x}+52092i-51060$ |
| 66560.4-k2 |
66560.4-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{36} \cdot 5^{3} \cdot 13^{3} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.509502108$ |
1.528506326 |
\( \frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -148 i - 304\) , \( 1724 i + 1932\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-148i-304\right){x}+1724i+1932$ |
| 66560.4-k3 |
66560.4-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{33} \cdot 5^{6} \cdot 13^{6} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.254751054$ |
1.528506326 |
\( \frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -468 i + 16\) , \( -964 i + 7692\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-468i+16\right){x}-964i+7692$ |
| 66560.4-k4 |
66560.4-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{39} \cdot 5^{18} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.084917018$ |
1.528506326 |
\( -\frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 4172 i - 304\) , \( -16516 i - 201588\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(4172i-304\right){x}-16516i-201588$ |
| 66560.4-k5 |
66560.4-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{32} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.528506326$ |
1.528506326 |
\( \frac{31409}{130} a + \frac{101344}{65} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 12 i + 16\) , \( -4 i + 12\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(12i+16\right){x}-4i+12$ |
| 66560.4-k6 |
66560.4-k |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{31} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.764253163$ |
1.528506326 |
\( \frac{4406742137}{8450} a + \frac{1310300809}{8450} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 172 i + 176\) , \( -708 i + 1356\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(172i+176\right){x}-708i+1356$ |
| 66560.4-l1 |
66560.4-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{25} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.339330493$ |
$1.504273737$ |
4.083567602 |
\( -\frac{18805284}{4225} a - \frac{16444188}{4225} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -22 i + 16\) , \( 4 i + 60\bigr] \) |
${y}^2={x}^{3}+\left(-22i+16\right){x}+4i+60$ |
| 66560.4-l2 |
66560.4-l |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.678660987$ |
$3.008547475$ |
4.083567602 |
\( \frac{23328}{65} a - \frac{74304}{65} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2 i - 4\) , \( 4 i + 4\bigr] \) |
${y}^2={x}^{3}+\left(-2i-4\right){x}+4i+4$ |
| 66560.4-m1 |
66560.4-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{25} \cdot 5^{6} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.966400192$ |
1.932800384 |
\( \frac{510916}{2640625} a + \frac{1029212}{2640625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2 i + 3\) , \( 138 i - 55\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-2i+3\right){x}+138i-55$ |
| 66560.4-m2 |
66560.4-m |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5^{3} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.932800384$ |
1.932800384 |
\( -\frac{2652512}{1625} a + \frac{67882816}{1625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 18 i - 17\) , \( 38 i - 11\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(18i-17\right){x}+38i-11$ |
| 66560.4-n1 |
66560.4-n |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{10} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.974738077$ |
$0.605984328$ |
4.725407994 |
\( -\frac{2126611839544}{1650390625} a - \frac{1896067742008}{1650390625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -122 i - 11\) , \( -633 i + 262\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-122i-11\right){x}-633i+262$ |
| 66560.4-n2 |
66560.4-n |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{5} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.949476154$ |
$1.211968657$ |
4.725407994 |
\( \frac{197995242752}{40625} a + \frac{62654740864}{40625} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( -132 i - 21\) , \( -499 i + 268\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+\left(-132i-21\right){x}-499i+268$ |
| 66560.4-o1 |
66560.4-o |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{24} \cdot 5 \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.460504677$ |
2.460504677 |
\( \frac{3752}{65} a - \frac{7136}{65} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2 i + 3\) , \( 6 i + 7\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-2i+3\right){x}+6i+7$ |
| 66560.4-o2 |
66560.4-o |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{27} \cdot 5^{2} \cdot 13^{2} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.230252338$ |
2.460504677 |
\( \frac{109815566}{4225} a + \frac{7969262}{4225} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -42 i - 37\) , \( 142 i + 31\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-42i-37\right){x}+142i+31$ |
| 66560.4-p1 |
66560.4-p |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{48} \cdot 5^{9} \cdot 13 \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.169834036$ |
1.528506326 |
\( -\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -1612 i + 2864\) , \( -51060 i - 52092\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-1612i+2864\right){x}-51060i-52092$ |
| 66560.4-p2 |
66560.4-p |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
66560.4 |
\( 2^{10} \cdot 5 \cdot 13 \) |
\( 2^{36} \cdot 5^{3} \cdot 13^{3} \) |
$2.87059$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.509502108$ |
1.528506326 |
\( \frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 148 i + 304\) , \( 1932 i - 1724\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(148i+304\right){x}+1932i-1724$ |
*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.