| 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 |
| 42250.6-a1 |
42250.6-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{13} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1$ |
$0.242784600$ |
0.728353800 |
\( \frac{156220918587}{62500000} a + \frac{333026777209}{62500000} \) |
\( \bigl[1\) , \( i - 1\) , \( i\) , \( -383 i + 992\) , \( -9854 i - 5306\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-383i+992\right){x}-9854i-5306$ |
| 42250.6-a2 |
42250.6-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{7} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$0.728353800$ |
0.728353800 |
\( \frac{911439}{500} a + \frac{7042523}{500} \) |
\( \bigl[1\) , \( i - 1\) , \( i\) , \( 127 i - 63\) , \( -665 i - 83\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(127i-63\right){x}-665i-83$ |
| 42250.6-b1 |
42250.6-b |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{5} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$0.267289282$ |
$1.310708369$ |
2.802706395 |
\( \frac{2124209}{6500} a - \frac{5592087}{6500} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( 15 i - 16\) , \( 56 i - 48\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(15i-16\right){x}+56i-48$ |
| 42250.6-b2 |
42250.6-b |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{11} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$0.801867847$ |
$0.436902789$ |
2.802706395 |
\( -\frac{1498457535463}{8582031250} a + \frac{5584902421359}{8582031250} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( -120 i + 139\) , \( -928 i + 894\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-120i+139\right){x}-928i+894$ |
| 42250.6-c1 |
42250.6-c |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{13} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 3 \) |
$0.422685994$ |
$0.290388924$ |
2.945839946 |
\( -\frac{2255889}{50000} a + \frac{83040173}{50000} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( 310 i + 459\) , \( -749 i - 313\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(310i+459\right){x}-749i-313$ |
| 42250.6-d1 |
42250.6-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{35} \cdot 5^{3} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$4.339121599$ |
$0.178415783$ |
3.096671122 |
\( \frac{509674723}{1310720} a + \frac{1260956811}{1310720} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( -1201 i - 384\) , \( -1557 i + 15615\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-1201i-384\right){x}-1557i+15615$ |
| 42250.6-d2 |
42250.6-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{15} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \cdot 5 \) |
$0.867824319$ |
$0.178415783$ |
3.096671122 |
\( -\frac{40716883}{50000} a + \frac{60021669}{50000} \) |
\( \bigl[1\) , \( -i - 1\) , \( i\) , \( 1387 i + 25\) , \( -625 i + 16719\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(1387i+25\right){x}-625i+16719$ |
| 42250.6-e1 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{13} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.119604597$ |
2.152882762 |
\( \frac{1411302663595036}{34328125} a - \frac{1774751413484333}{137312500} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( 17679 i + 1767\) , \( 549379 i + 728133\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(17679i+1767\right){x}+549379i+728133$ |
| 42250.6-e2 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{11} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.358813793$ |
2.152882762 |
\( \frac{171697}{6500} a + \frac{2279159}{104000} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( 79 i + 67\) , \( 2199 i + 1873\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(79i+67\right){x}+2199i+1873$ |
| 42250.6-e3 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{31} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$36$ |
\( 2^{3} \) |
$1$ |
$0.029901149$ |
2.152882762 |
\( -\frac{94290382838862669189021}{261902809143066406250} a + \frac{23228384730714798359947}{261902809143066406250} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( -23716 i - 21748\) , \( 2017251 i + 4265587\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-23716i-21748\right){x}+2017251i+4265587$ |
| 42250.6-e4 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{20} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.089703448$ |
2.152882762 |
\( \frac{20122730162024161}{27891601562500} a + \frac{104798752060117927}{27891601562500} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( -4111 i - 5763\) , \( 148881 i + 93187\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-4111i-5763\right){x}+148881i+93187$ |
| 42250.6-e5 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{20} \cdot 13^{12} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$9$ |
\( 2^{6} \) |
$1$ |
$0.059802298$ |
2.152882762 |
\( \frac{12415547946147007137}{2356840332031250} a + \frac{5474429230691529908}{1178420166015625} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( 18009 i + 2327\) , \( -570821 i - 661327\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(18009i+2327\right){x}-570821i-661327$ |
| 42250.6-e6 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{16} \cdot 13^{18} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{5} \) |
$1$ |
$0.029901149$ |
2.152882762 |
\( -\frac{4240925829815707588031}{728065160077531250} a + \frac{3613304062782124177817}{728065160077531250} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( 65014 i + 35362\) , \( -481119 i + 7224437\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(65014i+35362\right){x}-481119i+7224437$ |
| 42250.6-e7 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{16} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.179406896$ |
2.152882762 |
\( -\frac{117057737097}{21125000} a + \frac{49160487287}{2640625} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( -1241 i - 2173\) , \( -30671 i - 32777\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-1241i-2173\right){x}-30671i-32777$ |
| 42250.6-e8 |
42250.6-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{17} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.089703448$ |
2.152882762 |
\( -\frac{4023422266102893}{20312500} a + \frac{5856979210600901}{20312500} \) |
\( \bigl[1\) , \( i + 1\) , \( i\) , \( -19491 i - 34423\) , \( 2094671 i + 2160277\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-19491i-34423\right){x}+2094671i+2160277$ |
| 42250.6-f1 |
42250.6-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{18} \cdot 5^{15} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.119163442$ |
2.144941969 |
\( -\frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( -134 i - 6674\) , \( -2410 i - 212803\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-134i-6674\right){x}-2410i-212803$ |
| 42250.6-f2 |
42250.6-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{9} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.357490328$ |
2.144941969 |
\( \frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( -574 i - 379\) , \( 7251 i + 374\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-574i-379\right){x}+7251i+374$ |
| 42250.6-f3 |
42250.6-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{12} \cdot 13^{12} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.178745164$ |
2.144941969 |
\( \frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( -804 i + 511\) , \( 13935 i + 17862\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-804i+511\right){x}+13935i+17862$ |
| 42250.6-f4 |
42250.6-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{24} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.059581721$ |
2.144941969 |
\( -\frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( 6986 i - 4834\) , \( -450954 i - 375811\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(6986i-4834\right){x}-450954i-375811$ |
| 42250.6-f5 |
42250.6-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{7} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.072470984$ |
2.144941969 |
\( \frac{31409}{130} a + \frac{101344}{65} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( 36 i + 16\) , \( 30 i + 27\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(36i+16\right){x}+30i+27$ |
| 42250.6-f6 |
42250.6-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{8} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.536235492$ |
2.144941969 |
\( \frac{4406742137}{8450} a + \frac{1310300809}{8450} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( 481 i + 131\) , \( 1536 i + 4119\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(481i+131\right){x}+1536i+4119$ |
| 42250.6-g1 |
42250.6-g |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{15} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.151279787$ |
3.630714895 |
\( \frac{2412409957}{62500} a - \frac{352209201}{62500} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( -3988 i + 464\) , \( -54183 i + 82950\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-3988i+464\right){x}-54183i+82950$ |
| 42250.6-g2 |
42250.6-g |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{9} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.453839361$ |
3.630714895 |
\( \frac{40729}{50} a + \frac{80613}{50} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( 197 i - 116\) , \( -779 i + 478\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(197i-116\right){x}-779i+478$ |
| 42250.6-h1 |
42250.6-h |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{17} \cdot 5^{5} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 17 \) |
$0.074824229$ |
$0.582778755$ |
5.930412106 |
\( \frac{19040273}{33280} a - \frac{28339689}{33280} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -112 i - 22\) , \( 576 i - 476\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(-112i-22\right){x}+576i-476$ |
| 42250.6-i1 |
42250.6-i |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{19} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 3^{2} \) |
$1$ |
$0.391478404$ |
3.523305643 |
\( \frac{156220918587}{62500000} a + \frac{333026777209}{62500000} \) |
\( \bigl[1\) , \( i\) , \( i\) , \( 236 i - 334\) , \( 1954 i - 1939\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(236i-334\right){x}+1954i-1939$ |
| 42250.6-i2 |
42250.6-i |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 3 \) |
$1$ |
$1.174435214$ |
3.523305643 |
\( \frac{911439}{500} a + \frac{7042523}{500} \) |
\( \bigl[1\) , \( i\) , \( i\) , \( -54 i + 11\) , \( 65 i - 112\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(-54i+11\right){x}+65i-112$ |
| 42250.6-j1 |
42250.6-j |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{27} \cdot 5^{11} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.048178273$ |
$0.289993909$ |
6.035647390 |
\( \frac{577233446569}{2048000} a - \frac{853138583973}{2048000} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( -57 i + 1684\) , \( -26068 i - 1433\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-57i+1684\right){x}-26068i-1433$ |
| 42250.6-j2 |
42250.6-j |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.016059424$ |
$0.869981728$ |
6.035647390 |
\( -\frac{2944910839}{500000} a + \frac{24766677}{500000} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( -57 i + 59\) , \( 107 i + 292\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-57i+59\right){x}+107i+292$ |
| 42250.6-k1 |
42250.6-k |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{35} \cdot 5^{9} \cdot 13^{3} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
$0.051179242$ |
$0.287686806$ |
6.183908989 |
\( \frac{509674723}{1310720} a + \frac{1260956811}{1310720} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( 411 i + 257\) , \( -3266 i - 1881\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(411i+257\right){x}-3266i-1881$ |
| 42250.6-k2 |
42250.6-k |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{9} \cdot 13^{3} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
$0.010235848$ |
$1.438434034$ |
6.183908989 |
\( -\frac{40716883}{50000} a + \frac{60021669}{50000} \) |
\( \bigl[i\) , \( i\) , \( i\) , \( 11 i - 18\) , \( 24 i - 1\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(11i-18\right){x}+24i-1$ |
| 42250.6-l1 |
42250.6-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{16} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.199340379$ |
3.986807596 |
\( -\frac{80398914857}{19531250} a - \frac{197826917099}{19531250} \) |
\( \bigl[i\) , \( i + 1\) , \( 0\) , \( -835 i - 1570\) , \( 19373 i + 23386\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-835i-1570\right){x}+19373i+23386$ |
| 42250.6-l2 |
42250.6-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{11} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.398680759$ |
3.986807596 |
\( \frac{10462207}{6250} a - \frac{2706038}{3125} \) |
\( \bigl[i\) , \( i + 1\) , \( 0\) , \( -290 i - 5\) , \( -1350 i + 2175\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-290i-5\right){x}-1350i+2175$ |
| 42250.6-l3 |
42250.6-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{7} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.398680759$ |
3.986807596 |
\( -\frac{523313}{160} a + \frac{424661}{40} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 152 i + 426\) , \( -3008 i + 1636\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(152i+426\right){x}-3008i+1636$ |
| 42250.6-l4 |
42250.6-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.6 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{5} \cdot 5^{8} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.199340379$ |
3.986807596 |
\( -\frac{12916359143}{200} a + \frac{17274394699}{200} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( 2332 i + 6686\) , \( -200700 i + 111192\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(2332i+6686\right){x}-200700i+111192$ |
*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.
