| 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 |
| 42250.7-a1 |
42250.7-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{13} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.2 |
$1$ |
\( 3 \) |
$1$ |
$0.242784600$ |
0.728353800 |
\( -\frac{156220918587}{62500000} a + \frac{333026777209}{62500000} \) |
\( \bigl[i\) , \( i + 1\) , \( 1\) , \( 382 i + 992\) , \( -9854 i + 5306\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(382i+992\right){x}-9854i+5306$ |
| 42250.7-a2 |
42250.7-a |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{7} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$0.728353800$ |
0.728353800 |
\( -\frac{911439}{500} a + \frac{7042523}{500} \) |
\( \bigl[i\) , \( i + 1\) , \( 1\) , \( -128 i - 63\) , \( -665 i + 83\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-128i-63\right){x}-665i+83$ |
| 42250.7-b1 |
42250.7-b |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{5} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$0.267289282$ |
$1.310708369$ |
2.802706395 |
\( -\frac{2124209}{6500} a - \frac{5592087}{6500} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( -16 i - 16\) , \( 56 i + 48\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-16i-16\right){x}+56i+48$ |
| 42250.7-b2 |
42250.7-b |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{11} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{2} \) |
$0.801867847$ |
$0.436902789$ |
2.802706395 |
\( \frac{1498457535463}{8582031250} a + \frac{5584902421359}{8582031250} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( 119 i + 139\) , \( -928 i - 894\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(119i+139\right){x}-928i-894$ |
| 42250.7-c1 |
42250.7-c |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{13} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 3 \) |
$0.422685994$ |
$0.290388924$ |
2.945839946 |
\( \frac{2255889}{50000} a + \frac{83040173}{50000} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( -311 i + 459\) , \( -749 i + 313\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-311i+459\right){x}-749i+313$ |
| 42250.7-d1 |
42250.7-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{35} \cdot 5^{3} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \) |
$4.339121599$ |
$0.178415783$ |
3.096671122 |
\( -\frac{509674723}{1310720} a + \frac{1260956811}{1310720} \) |
\( \bigl[i\) , \( 0\) , \( 1\) , \( 1200 i - 384\) , \( 1557 i + 15615\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(1200i-384\right){x}+1557i+15615$ |
| 42250.7-d2 |
42250.7-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{15} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \cdot 5 \) |
$0.867824319$ |
$0.178415783$ |
3.096671122 |
\( \frac{40716883}{50000} a + \frac{60021669}{50000} \) |
\( \bigl[i\) , \( -i + 1\) , \( 1\) , \( -1388 i + 25\) , \( -625 i - 16719\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-1388i+25\right){x}-625i-16719$ |
| 42250.7-e1 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{13} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.119604597$ |
2.152882762 |
\( -\frac{1411302663595036}{34328125} a - \frac{1774751413484333}{137312500} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( -17680 i + 1767\) , \( -549379 i + 728133\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-17680i+1767\right){x}-549379i+728133$ |
| 42250.7-e2 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{11} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.358813793$ |
2.152882762 |
\( -\frac{171697}{6500} a + \frac{2279159}{104000} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( -80 i + 67\) , \( -2199 i + 1873\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-80i+67\right){x}-2199i+1873$ |
| 42250.7-e3 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{31} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$36$ |
\( 2^{3} \) |
$1$ |
$0.029901149$ |
2.152882762 |
\( \frac{94290382838862669189021}{261902809143066406250} a + \frac{23228384730714798359947}{261902809143066406250} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( 23715 i - 21748\) , \( -2017251 i + 4265587\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(23715i-21748\right){x}-2017251i+4265587$ |
| 42250.7-e4 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{20} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.089703448$ |
2.152882762 |
\( -\frac{20122730162024161}{27891601562500} a + \frac{104798752060117927}{27891601562500} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( 4110 i - 5763\) , \( -148881 i + 93187\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(4110i-5763\right){x}-148881i+93187$ |
| 42250.7-e5 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{20} \cdot 13^{12} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
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 |
\( -\frac{12415547946147007137}{2356840332031250} a + \frac{5474429230691529908}{1178420166015625} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( -18010 i + 2327\) , \( 570821 i - 661327\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-18010i+2327\right){x}+570821i-661327$ |
| 42250.7-e6 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{16} \cdot 13^{18} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{5} \) |
$1$ |
$0.029901149$ |
2.152882762 |
\( \frac{4240925829815707588031}{728065160077531250} a + \frac{3613304062782124177817}{728065160077531250} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( -65015 i + 35362\) , \( 481119 i + 7224437\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-65015i+35362\right){x}+481119i+7224437$ |
| 42250.7-e7 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{16} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
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 |
\( \frac{117057737097}{21125000} a + \frac{49160487287}{2640625} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( 1240 i - 2173\) , \( 30671 i - 32777\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(1240i-2173\right){x}+30671i-32777$ |
| 42250.7-e8 |
42250.7-e |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{17} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$4$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.089703448$ |
2.152882762 |
\( \frac{4023422266102893}{20312500} a + \frac{5856979210600901}{20312500} \) |
\( \bigl[1\) , \( -i + 1\) , \( i\) , \( 19490 i - 34423\) , \( -2094671 i + 2160277\bigr] \) |
${y}^2+{x}{y}+i{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(19490i-34423\right){x}-2094671i+2160277$ |
| 42250.7-f1 |
42250.7-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{18} \cdot 5^{15} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.119163442$ |
2.144941969 |
\( \frac{276861163011391}{13000000000} a - \frac{33515586556057}{812500000} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( 133 i - 6674\) , \( 2410 i - 212803\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(133i-6674\right){x}+2410i-212803$ |
| 42250.7-f2 |
42250.7-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{9} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.357490328$ |
2.144941969 |
\( -\frac{37525044319}{2197000} a - \frac{7169596274}{274625} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( 573 i - 379\) , \( -7251 i + 374\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(573i-379\right){x}-7251i+374$ |
| 42250.7-f3 |
42250.7-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{12} \cdot 13^{12} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.178745164$ |
2.144941969 |
\( -\frac{133816114442969}{301675562500} a - \frac{19082395919017}{301675562500} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( 803 i + 511\) , \( -13935 i + 17862\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(803i+511\right){x}-13935i+17862$ |
| 42250.7-f4 |
42250.7-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{24} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.059581721$ |
2.144941969 |
\( \frac{8418015312387897223}{20629882812500000} a + \frac{2783266907131437289}{20629882812500000} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( -6987 i - 4834\) , \( 450954 i - 375811\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-6987i-4834\right){x}+450954i-375811$ |
| 42250.7-f5 |
42250.7-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{7} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.072470984$ |
2.144941969 |
\( -\frac{31409}{130} a + \frac{101344}{65} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( -37 i + 16\) , \( -30 i + 27\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-37i+16\right){x}-30i+27$ |
| 42250.7-f6 |
42250.7-f |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{8} \cdot 13^{8} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.536235492$ |
2.144941969 |
\( -\frac{4406742137}{8450} a + \frac{1310300809}{8450} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( -482 i + 131\) , \( -1536 i + 4119\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-482i+131\right){x}-1536i+4119$ |
| 42250.7-g1 |
42250.7-g |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{15} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.151279787$ |
3.630714895 |
\( -\frac{2412409957}{62500} a - \frac{352209201}{62500} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( 3988 i + 464\) , \( 54183 i + 82950\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(3988i+464\right){x}+54183i+82950$ |
| 42250.7-g2 |
42250.7-g |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{9} \cdot 13^{10} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.453839361$ |
3.630714895 |
\( -\frac{40729}{50} a + \frac{80613}{50} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( -197 i - 116\) , \( 779 i + 478\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-197i-116\right){x}+779i+478$ |
| 42250.7-h1 |
42250.7-h |
$1$ |
$1$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{17} \cdot 5^{5} \cdot 13^{7} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 17 \) |
$0.074824229$ |
$0.582778755$ |
5.930412106 |
\( -\frac{19040273}{33280} a - \frac{28339689}{33280} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( 112 i - 22\) , \( 576 i + 476\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(112i-22\right){x}+576i+476$ |
| 42250.7-i1 |
42250.7-i |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{19} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 3^{2} \) |
$1$ |
$0.391478404$ |
3.523305643 |
\( -\frac{156220918587}{62500000} a + \frac{333026777209}{62500000} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( -237 i - 334\) , \( 1954 i + 1939\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-237i-334\right){x}+1954i+1939$ |
| 42250.7-i2 |
42250.7-i |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 3 \) |
$1$ |
$1.174435214$ |
3.523305643 |
\( -\frac{911439}{500} a + \frac{7042523}{500} \) |
\( \bigl[i\) , \( i\) , \( 1\) , \( 53 i + 11\) , \( 65 i + 112\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(53i+11\right){x}+65i+112$ |
| 42250.7-j1 |
42250.7-j |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{27} \cdot 5^{11} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.048178273$ |
$0.289993909$ |
6.035647390 |
\( -\frac{577233446569}{2048000} a - \frac{853138583973}{2048000} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( 56 i + 1684\) , \( 26068 i - 1433\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(56i+1684\right){x}+26068i-1433$ |
| 42250.7-j2 |
42250.7-j |
$2$ |
$3$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{9} \cdot 5^{13} \cdot 13^{2} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.016059424$ |
$0.869981728$ |
6.035647390 |
\( \frac{2944910839}{500000} a + \frac{24766677}{500000} \) |
\( \bigl[i\) , \( -i\) , \( 1\) , \( 56 i + 59\) , \( -107 i + 292\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(56i+59\right){x}-107i+292$ |
| 42250.7-k1 |
42250.7-k |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{35} \cdot 5^{9} \cdot 13^{3} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
$0.051179242$ |
$0.287686806$ |
6.183908989 |
\( -\frac{509674723}{1310720} a + \frac{1260956811}{1310720} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( -411 i + 256\) , \( -3266 i + 1881\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-411i+256\right){x}-3266i+1881$ |
| 42250.7-k2 |
42250.7-k |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{7} \cdot 5^{9} \cdot 13^{3} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
$0.010235848$ |
$1.438434034$ |
6.183908989 |
\( \frac{40716883}{50000} a + \frac{60021669}{50000} \) |
\( \bigl[1\) , \( i\) , \( 1\) , \( -11 i - 19\) , \( 24 i + 1\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-11i-19\right){x}+24i+1$ |
| 42250.7-l1 |
42250.7-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2 \cdot 5^{16} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.199340379$ |
3.986807596 |
\( \frac{80398914857}{19531250} a - \frac{197826917099}{19531250} \) |
\( \bigl[i\) , \( -i + 1\) , \( 0\) , \( 835 i - 1570\) , \( -19373 i + 23386\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(835i-1570\right){x}-19373i+23386$ |
| 42250.7-l2 |
42250.7-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{11} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.398680759$ |
3.986807596 |
\( -\frac{10462207}{6250} a - \frac{2706038}{3125} \) |
\( \bigl[i\) , \( -i + 1\) , \( 0\) , \( 290 i - 5\) , \( 1350 i + 2175\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(290i-5\right){x}+1350i+2175$ |
| 42250.7-l3 |
42250.7-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{7} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.398680759$ |
3.986807596 |
\( \frac{523313}{160} a + \frac{424661}{40} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -152 i + 426\) , \( -3008 i - 1636\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(-152i+426\right){x}-3008i-1636$ |
| 42250.7-l4 |
42250.7-l |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
42250.7 |
\( 2 \cdot 5^{3} \cdot 13^{2} \) |
\( 2^{5} \cdot 5^{8} \cdot 13^{9} \) |
$2.56227$ |
$(a+1), (-a-2), (2a+1), (-3a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.199340379$ |
3.986807596 |
\( \frac{12916359143}{200} a + \frac{17274394699}{200} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -2332 i + 6686\) , \( -200700 i - 111192\bigr] \) |
${y}^2+i{x}{y}={x}^{3}+\left(-2332i+6686\right){x}-200700i-111192$ |
*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.
