| 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 |
| 16640.4-a1 |
16640.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 5^{2} \cdot 13^{6} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.096365333$ |
$0.864037653$ |
1.998318637 |
\( -\frac{41546262094}{120670225} a + \frac{205320721442}{120670225} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -30 i + 55\) , \( i - 57\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-30i+55\right){x}+i-57$ |
| 16640.4-a2 |
16640.4-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13^{3} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.192730666$ |
$1.728075306$ |
1.998318637 |
\( \frac{904474088}{10985} a + \frac{641656096}{10985} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -10 i + 35\) , \( -85 i - 51\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-10i+35\right){x}-85i-51$ |
| 16640.4-b1 |
16640.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.851250463$ |
$0.619744181$ |
3.165345130 |
\( -\frac{10359522503116}{3570125} a - \frac{4364617727362}{3570125} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 90 i + 471\) , \( 4069 i - 993\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(90i+471\right){x}+4069i-993$ |
| 16640.4-b2 |
16640.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{12} \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.851250463$ |
$0.619744181$ |
3.165345130 |
\( \frac{2896194844812}{3173828125} a + \frac{3398200522034}{3173828125} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -70 i - 89\) , \( 357 i - 81\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-70i-89\right){x}+357i-81$ |
| 16640.4-b3 |
16640.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5^{6} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.425625231$ |
$1.239488362$ |
3.165345130 |
\( -\frac{3643553424}{2640625} a + \frac{4710369332}{2640625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 10 i + 31\) , \( 69 i + 7\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(10i+31\right){x}+69i+7$ |
| 16640.4-b4 |
16640.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{3} \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.212812615$ |
$2.478976724$ |
3.165345130 |
\( \frac{50931328}{1625} a + \frac{11807696}{1625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 10 i + 11\) , \( -3 i + 19\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(10i+11\right){x}-3i+19$ |
| 16640.4-c1 |
16640.4-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$3.457655221$ |
1.728827610 |
\( -\frac{2662912}{65} a - \frac{16922944}{65} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -10 i + 1\) , \( 5 i - 7\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-10i+1\right){x}+5i-7$ |
| 16640.4-c2 |
16640.4-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5^{4} \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.728827610$ |
1.728827610 |
\( -\frac{20996208}{8125} a - \frac{1102494856}{8125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 22 i + 31\) , \( -51 i + 57\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(22i+31\right){x}-51i+57$ |
| 16640.4-c3 |
16640.4-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.457655221$ |
1.728827610 |
\( \frac{631296}{4225} a + \frac{2516672}{4225} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 2 i + 1\) , \( -3 i - 1\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(2i+1\right){x}-3i-1$ |
| 16640.4-c4 |
16640.4-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$1.728827610$ |
1.728827610 |
\( -\frac{110967056}{142805} a + \frac{597885848}{142805} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -18 i - 9\) , \( -23 i + 9\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-18i-9\right){x}-23i+9$ |
| 16640.4-d1 |
16640.4-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{19} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.180826758$ |
$2.127364321$ |
3.077475156 |
\( -\frac{18805284}{4225} a - \frac{16444188}{4225} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 8 i + 11\) , \( 14 i - 16\bigr] \) |
${y}^2={x}^{3}+\left(8i+11\right){x}+14i-16$ |
| 16640.4-d2 |
16640.4-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.361653517$ |
$4.254728642$ |
3.077475156 |
\( \frac{23328}{65} a - \frac{74304}{65} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2 i + 1\) , \( -2\bigr] \) |
${y}^2={x}^{3}+\left(-2i+1\right){x}-2$ |
| 16640.4-e1 |
16640.4-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{19} \cdot 5^{6} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \cdot 3 \) |
$0.098862373$ |
$1.366696258$ |
3.242756070 |
\( \frac{510916}{2640625} a + \frac{1029212}{2640625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -2 i - 1\) , \( 21 i - 47\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-2i-1\right){x}+21i-47$ |
| 16640.4-e2 |
16640.4-e |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5^{3} \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.197724747$ |
$2.733392517$ |
3.242756070 |
\( -\frac{2652512}{1625} a + \frac{67882816}{1625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 8 i + 9\) , \( 7 i - 21\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(8i+9\right){x}+7i-21$ |
| 16640.4-f1 |
16640.4-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.470086924$ |
$3.479679085$ |
3.271503281 |
\( \frac{3752}{65} a - \frac{7136}{65} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -2 i - 1\) , \( -3 i + 1\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-2i-1\right){x}-3i+1$ |
| 16640.4-f2 |
16640.4-f |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.235043462$ |
$1.739839542$ |
3.271503281 |
\( \frac{109815566}{4225} a + \frac{7969262}{4225} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 18 i - 21\) , \( -63 i + 29\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(18i-21\right){x}-63i+29$ |
| 16640.4-g1 |
16640.4-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{42} \cdot 5^{9} \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.240181597$ |
2.161634376 |
\( -\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 1432 i + 806\) , \( -258 i + 25788\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(1432i+806\right){x}-258i+25788$ |
| 16640.4-g2 |
16640.4-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{30} \cdot 5^{3} \cdot 13^{3} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.720544792$ |
2.161634376 |
\( \frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 152 i - 74\) , \( -914 i - 52\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(152i-74\right){x}-914i-52$ |
| 16640.4-g3 |
16640.4-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{27} \cdot 5^{6} \cdot 13^{6} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.360272396$ |
2.161634376 |
\( \frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -8 i - 234\) , \( -1682 i - 2164\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-8i-234\right){x}-1682i-2164$ |
| 16640.4-g4 |
16640.4-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{33} \cdot 5^{18} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.120090798$ |
2.161634376 |
\( -\frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 152 i + 2086\) , \( 54526 i + 46268\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(152i+2086\right){x}+54526i+46268$ |
| 16640.4-g5 |
16640.4-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.161634376$ |
2.161634376 |
\( \frac{31409}{130} a + \frac{101344}{65} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -8 i + 6\) , \( -2 i - 4\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-8i+6\right){x}-2i-4$ |
| 16640.4-g6 |
16640.4-g |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{25} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.080817188$ |
2.161634376 |
\( \frac{4406742137}{8450} a + \frac{1310300809}{8450} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -88 i + 86\) , \( -162 i - 516\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-88i+86\right){x}-162i-516$ |
| 16640.4-h1 |
16640.4-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.895037150$ |
$1.900165055$ |
3.401436633 |
\( -\frac{8646624}{4225} a - \frac{66027268}{4225} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -2 i - 21\) , \( -15 i - 45\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-2i-21\right){x}-15i-45$ |
| 16640.4-h2 |
16640.4-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{2} \cdot 13^{8} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.895037150$ |
$0.475041263$ |
3.401436633 |
\( \frac{94078100761841}{20393268025} a - \frac{11284537597913}{20393268025} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -2 i + 259\) , \( -1583 i + 347\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-2i+259\right){x}-1583i+347$ |
| 16640.4-h3 |
16640.4-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{4} \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1.790074301$ |
$0.950082527$ |
3.401436633 |
\( -\frac{15461171586}{17850625} a - \frac{9080741152}{17850625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 38 i - 21\) , \( -151 i - 77\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(38i-21\right){x}-151i-77$ |
| 16640.4-h4 |
16640.4-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.447518575$ |
$3.800330110$ |
3.401436633 |
\( \frac{75008}{65} a - \frac{29104}{65} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -2 i - 1\) , \( i - 1\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-2i-1\right){x}+i-1$ |
| 16640.4-h5 |
16640.4-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{8} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.895037150$ |
$0.475041263$ |
3.401436633 |
\( \frac{143087370512191}{66015625} a + \frac{29292377558137}{66015625} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 718 i - 301\) , \( -8063 i - 1909\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(718i-301\right){x}-8063i-1909$ |
| 16640.4-h6 |
16640.4-h |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.790074301$ |
$0.950082527$ |
3.401436633 |
\( \frac{4355686402}{65} a + \frac{17124606704}{65} \) |
\( \bigl[0\) , \( i + 1\) , \( 0\) , \( -42 i - 341\) , \( -583 i - 2509\bigr] \) |
${y}^2={x}^{3}+\left(i+1\right){x}^{2}+\left(-42i-341\right){x}-583i-2509$ |
| 16640.4-i1 |
16640.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 5^{4} \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.205322982$ |
2.410645965 |
\( -\frac{9109431098}{8125} a - \frac{703641086}{8125} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 108 i + 20\) , \( -208 i - 424\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(108i+20\right){x}-208i-424$ |
| 16640.4-i2 |
16640.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5^{2} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$2.410645965$ |
2.410645965 |
\( -\frac{2630664}{4225} a + \frac{6709952}{4225} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 8 i\) , \( -8\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+8i{x}-8$ |
| 16640.4-i3 |
16640.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5 \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$4.821291931$ |
2.410645965 |
\( \frac{42112}{65} a + \frac{108224}{65} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( -2 i\) , \( 0\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}-2i{x}$ |
| 16640.4-i4 |
16640.4-i |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 5 \cdot 13^{4} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.205322982$ |
2.410645965 |
\( \frac{9896441706}{142805} a + \frac{2615329822}{142805} \) |
\( \bigl[0\) , \( i\) , \( 0\) , \( 68 i - 20\) , \( 208 i + 56\bigr] \) |
${y}^2={x}^{3}+i{x}^{2}+\left(68i-20\right){x}+208i+56$ |
| 16640.4-j1 |
16640.4-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13 \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$2.090845632$ |
2.090845632 |
\( -\frac{109298}{1625} a + \frac{1963264}{1625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 6 i + 7\) , \( -7 i - 7\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(6i+7\right){x}-7i-7$ |
| 16640.4-j2 |
16640.4-j |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
16640.4 |
\( 2^{8} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 5^{6} \cdot 13^{2} \) |
$2.02982$ |
$(a+1), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.045422816$ |
2.090845632 |
\( \frac{321047281}{2640625} a + \frac{6395175767}{2640625} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -34 i - 33\) , \( -63 i + 1\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-34i-33\right){x}-63i+1$ |
*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.
