| 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 |
| 26000.6-a1 |
26000.6-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{9} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.430043658$ |
1.430043658 |
\( -\frac{43261952}{325} a - \frac{129542144}{325} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -48 i - 47\) , \( -182 i - 64\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-48i-47\right){x}-182i-64$ |
| 26000.6-a2 |
26000.6-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{15} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.715021829$ |
1.430043658 |
\( \frac{329359844912}{5078125} a - \frac{470870678516}{5078125} \) |
\( \bigl[i + 1\) , \( 0\) , \( 0\) , \( 217 i - 17\) , \( -982 i - 803\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(217i-17\right){x}-982i-803$ |
| 26000.6-a3 |
26000.6-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{4} \cdot 5^{12} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$1.430043658$ |
1.430043658 |
\( -\frac{34602624}{105625} a + \frac{89434832}{105625} \) |
\( \bigl[i + 1\) , \( 0\) , \( 0\) , \( 17 i + 8\) , \( -27 i + 12\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(17i+8\right){x}-27i+12$ |
| 26000.6-a4 |
26000.6-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{12} \cdot 13^{4} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$0.715021829$ |
1.430043658 |
\( \frac{17012483856}{17850625} a + \frac{53748185108}{17850625} \) |
\( \bigl[i + 1\) , \( 0\) , \( 0\) , \( -103 i - 27\) , \( -258 i + 179\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-103i-27\right){x}-258i+179$ |
| 26000.6-a5 |
26000.6-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{10} \cdot 5^{9} \cdot 13^{8} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.357510914$ |
1.430043658 |
\( -\frac{263319363133844}{20393268025} a + \frac{443594369492878}{20393268025} \) |
\( \bigl[i + 1\) , \( 0\) , \( 0\) , \( -603 i - 277\) , \( 6292 i - 671\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-603i-277\right){x}+6292i-671$ |
| 26000.6-a6 |
26000.6-a |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{10} \cdot 5^{15} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.357510914$ |
1.430043658 |
\( \frac{286134796876244}{66015625} a + \frac{251971335359842}{66015625} \) |
\( \bigl[i + 1\) , \( 0\) , \( 0\) , \( -1523 i - 337\) , \( -21312 i + 10757\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-1523i-337\right){x}-21312i+10757$ |
| 26000.6-b1 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{10} \cdot 13^{4} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$3.346620191$ |
$0.533168923$ |
3.568627771 |
\( \frac{6278960157372}{3570125} a - \frac{12247085251904}{3570125} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 665 i - 5\) , \( -4950 i - 4725\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(665i-5\right){x}-4950i-4725$ |
| 26000.6-b2 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{13} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$0.836655047$ |
$1.066337847$ |
3.568627771 |
\( \frac{109985792}{8125} a - \frac{102465536}{8125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( -42 i + 56\) , \( 172 i + 179\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(-42i+56\right){x}+172i+179$ |
| 26000.6-b3 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{10} \cdot 13^{12} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$10.03986057$ |
$0.177722974$ |
3.568627771 |
\( \frac{40605232846917732}{2912260640310125} a + \frac{15507117639303424}{2912260640310125} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( -285 i + 145\) , \( -18130 i - 14965\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-285i+145\right){x}-18130i-14965$ |
| 26000.6-b4 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{4} \cdot 5^{14} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \) |
$1.673310095$ |
$1.066337847$ |
3.568627771 |
\( -\frac{4789923264}{2640625} a + \frac{673064048}{2640625} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 40 i - 5\) , \( -75 i - 100\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(40i-5\right){x}-75i-100$ |
| 26000.6-b5 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{19} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$3.346620191$ |
$0.533168923$ |
3.568627771 |
\( \frac{6814517046148}{3173828125} a + \frac{1205241786064}{3173828125} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( -105 i + 135\) , \( -694 i - 567\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-105i+135\right){x}-694i-567$ |
| 26000.6-b6 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{19} \cdot 13^{3} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$2.509965143$ |
$0.355445949$ |
3.568627771 |
\( \frac{107236037214208}{536376953125} a + \frac{978770751225856}{536376953125} \) |
\( \bigl[0\) , \( i - 1\) , \( 0\) , \( 158 i - 344\) , \( -308 i + 1039\bigr] \) |
${y}^2={x}^{3}+\left(i-1\right){x}^{2}+\left(158i-344\right){x}-308i+1039$ |
| 26000.6-b7 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{4} \cdot 5^{14} \cdot 13^{6} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{4} \) |
$5.019930286$ |
$0.355445949$ |
3.568627771 |
\( -\frac{4259875740810816}{75418890625} a + \frac{6940682724261488}{75418890625} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( -460 i + 745\) , \( -6375 i - 7500\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-460i+745\right){x}-6375i-7500$ |
| 26000.6-b8 |
26000.6-b |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{13} \cdot 13^{3} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$10.03986057$ |
$0.177722974$ |
3.568627771 |
\( -\frac{14159685840327748}{1373125} a + \frac{7060801251114256}{1373125} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( -7355 i + 11885\) , \( -424194 i - 472567\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-7355i+11885\right){x}-424194i-472567$ |
| 26000.6-c1 |
26000.6-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{14} \cdot 5^{17} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.140625293$ |
$0.382014082$ |
3.485879403 |
\( \frac{353750760581}{66015625} a - \frac{156546352109}{132031250} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( 0\) , \( 126 i + 396\) , \( 2990 i - 2156\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(126i+396\right){x}+2990i-2156$ |
| 26000.6-c2 |
26000.6-c |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{16} \cdot 5^{13} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.570312646$ |
$0.764028165$ |
3.485879403 |
\( -\frac{5423261}{8125} a - \frac{19770367}{32500} \) |
\( \bigl[i + 1\) , \( i + 1\) , \( i + 1\) , \( 47 i - 44\) , \( -330 i - 19\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i+1\right){x}^{2}+\left(47i-44\right){x}-330i-19$ |
| 26000.6-d1 |
26000.6-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{8} \cdot 5^{13} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.990894712$ |
1.981789425 |
\( \frac{22196836}{105625} a + \frac{124665848}{105625} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( 40 i - 9\) , \( 33 i - 73\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(40i-9\right){x}+33i-73$ |
| 26000.6-d2 |
26000.6-d |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{4} \cdot 5^{11} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.981789425$ |
1.981789425 |
\( -\frac{125824}{325} a + \frac{787568}{325} \) |
\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -15 i + 1\) , \( 12 i - 1\bigr] \) |
${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(i-1\right){x}^{2}+\left(-15i+1\right){x}+12i-1$ |
| 26000.6-e1 |
26000.6-e |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{12} \cdot 5^{15} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.190163414$ |
1.711470733 |
\( -\frac{157034896049234432}{330078125} a - \frac{128574568523373376}{330078125} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 9264 i - 961\) , \( -276097 i - 201179\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(9264i-961\right){x}-276097i-201179$ |
| 26000.6-e2 |
26000.6-e |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{12} \cdot 5^{12} \cdot 13^{3} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.570490244$ |
1.711470733 |
\( -\frac{2088753403392}{34328125} a - \frac{1627055822656}{34328125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -248 i - 201\) , \( -2001 i - 549\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-248i-201\right){x}-2001i-549$ |
| 26000.6-e3 |
26000.6-e |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{12} \cdot 5^{8} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.711470733$ |
1.711470733 |
\( \frac{732672}{325} a - \frac{3306304}{325} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( 12 i - 21\) , \( -29 i + 47\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(12i-21\right){x}-29i+47$ |
| 26000.6-e4 |
26000.6-e |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{12} \cdot 5^{24} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.190163414$ |
1.711470733 |
\( \frac{1110974116587520512}{49591064453125} a - \frac{489671365797093184}{49591064453125} \) |
\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -2308 i + 219\) , \( 25771 i - 36553\bigr] \) |
${y}^2={x}^{3}+\left(-i-1\right){x}^{2}+\left(-2308i+219\right){x}+25771i-36553$ |
| 26000.6-e5 |
26000.6-e |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{12} \cdot 5^{7} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1$ |
$1.711470733$ |
1.711470733 |
\( -\frac{1183232}{845} a - \frac{851776}{845} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( -16 i - 1\) , \( 23 i - 19\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(-16i-1\right){x}+23i-19$ |
| 26000.6-e6 |
26000.6-e |
$6$ |
$18$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{12} \cdot 5^{9} \cdot 13^{6} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3Cs |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$0.570490244$ |
1.711470733 |
\( \frac{356394317312}{603351125} a + \frac{580261889216}{603351125} \) |
\( \bigl[0\) , \( -i + 1\) , \( 0\) , \( 124 i + 19\) , \( -469 i + 25\bigr] \) |
${y}^2={x}^{3}+\left(-i+1\right){x}^{2}+\left(124i+19\right){x}-469i+25$ |
| 26000.6-f1 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{16} \cdot 5^{13} \cdot 13^{3} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.215620255$ |
2.587443063 |
\( \frac{1411302663595036}{34328125} a - \frac{1774751413484333}{137312500} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 5466 i - 62\) , \( -110040 i - 107220\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(5466i-62\right){x}-110040i-107220$ |
| 26000.6-f2 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{24} \cdot 5^{11} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$0.646860765$ |
2.587443063 |
\( \frac{171697}{6500} a + \frac{2279159}{104000} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( 26 i + 18\) , \( -408 i - 244\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(26i+18\right){x}-408i-244$ |
| 26000.6-f3 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{13} \cdot 5^{31} \cdot 13^{3} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.053905063$ |
2.587443063 |
\( -\frac{94290382838862669189021}{261902809143066406250} a + \frac{23228384730714798359947}{261902809143066406250} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( -7994 i - 5842\) , \( -464800 i - 663900\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-7994i-5842\right){x}-464800i-663900$ |
| 26000.6-f4 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{15} \cdot 5^{20} \cdot 13^{4} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.161715191$ |
2.587443063 |
\( \frac{20122730162024161}{27891601562500} a + \frac{104798752060117927}{27891601562500} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( -1454 i - 1622\) , \( -26840 i - 10620\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-1454i-1622\right){x}-26840i-10620$ |
| 26000.6-f5 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{14} \cdot 5^{20} \cdot 13^{6} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1$ |
$0.107810127$ |
2.587443063 |
\( \frac{12415547946147007137}{2356840332031250} a + \frac{5474429230691529908}{1178420166015625} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 5586 i + 98\) , \( 111688 i + 95284\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(5586i+98\right){x}+111688i+95284$ |
| 26000.6-f6 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{13} \cdot 5^{16} \cdot 13^{12} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \cdot 3 \) |
$1$ |
$0.053905063$ |
2.587443063 |
\( -\frac{4240925829815707588031}{728065160077531250} a + \frac{3613304062782124177817}{728065160077531250} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( 21086 i + 8598\) , \( -135312 i - 1233716\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(21086i+8598\right){x}-135312i-1233716$ |
| 26000.6-f7 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{18} \cdot 5^{16} \cdot 13^{2} \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.323430382$ |
2.587443063 |
\( -\frac{117057737097}{21125000} a + \frac{49160487287}{2640625} \) |
\( \bigl[i + 1\) , \( -1\) , \( 0\) , \( -454 i - 622\) , \( 6360 i + 4980\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}-{x}^{2}+\left(-454i-622\right){x}+6360i+4980$ |
| 26000.6-f8 |
26000.6-f |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
26000.6 |
\( 2^{4} \cdot 5^{3} \cdot 13 \) |
\( 2^{15} \cdot 5^{17} \cdot 13 \) |
$2.26940$ |
$(a+1), (-a-2), (2a+1), (2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.161715191$ |
2.587443063 |
\( -\frac{4023422266102893}{20312500} a + \frac{5856979210600901}{20312500} \) |
\( \bigl[i + 1\) , \( -i + 1\) , \( 0\) , \( -7134 i - 9862\) , \( -417928 i - 309604\bigr] \) |
${y}^2+\left(i+1\right){x}{y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(-7134i-9862\right){x}-417928i-309604$ |
*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.
