| 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 |
| 5625.8-a1 |
5625.8-a |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{8} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.3 |
$1$ |
\( 1 \) |
$0.749044090$ |
$3.274603091$ |
2.958214749 |
\( -\frac{102400}{3} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -8\) , \( -7\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}-8{x}-7$ |
| 5625.8-a2 |
5625.8-a |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{16} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.4 |
$1$ |
\( 1 \) |
$3.745220451$ |
$0.654920618$ |
2.958214749 |
\( \frac{20480}{243} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 42\) , \( 443\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+42{x}+443$ |
| 5625.8-b1 |
5625.8-b |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 3 \) |
$0.748546438$ |
$1.464447022$ |
3.966224718 |
\( -\frac{102400}{3} \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( -24 a + 16\) , \( -27 a + 74\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-24a+16\right){x}-27a+74$ |
| 5625.8-b2 |
5625.8-b |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{10} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 3 \cdot 5 \) |
$0.149709287$ |
$1.464447022$ |
3.966224718 |
\( \frac{20480}{243} \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( -4 a + 1\) , \( -12 a - 31\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a+1\right){x}-12a-31$ |
| 5625.8-c1 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{22} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.135258537$ |
2.610046949 |
\( -\frac{5020579657727137}{31640625} a - \frac{3509382012310007}{10546875} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 9600 a - 13187\) , \( 561300 a - 225481\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(9600a-13187\right){x}+561300a-225481$ |
| 5625.8-c2 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{9} \cdot 5^{29} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$0.067629268$ |
2.610046949 |
\( -\frac{785995287207294187003}{1001129150390625} a - \frac{1216095437789510901716}{333709716796875} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 24475 a - 1937\) , \( -795450 a - 2617606\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(24475a-1937\right){x}-795450a-2617606$ |
| 5625.8-c3 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{20} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.270517075$ |
2.610046949 |
\( \frac{10492718831}{820125} a - \frac{16203205438}{1366875} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 600 a - 812\) , \( 8925 a - 3856\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(600a-812\right){x}+8925a-3856$ |
| 5625.8-c4 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{16} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.541034151$ |
2.610046949 |
\( \frac{2328193}{32805} a - \frac{38647439}{164025} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -25 a - 62\) , \( 425 a + 269\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-25a-62\right){x}+425a+269$ |
| 5625.8-c5 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{33} \cdot 5^{17} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.067629268$ |
2.610046949 |
\( \frac{1003477310557125250603}{1158137618032400625} a + \frac{103377391345233382916}{386045872677466875} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -5275 a + 7063\) , \( -104950 a - 300856\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5275a+7063\right){x}-104950a-300856$ |
| 5625.8-c6 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{22} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \) |
$1$ |
$0.135258537$ |
2.610046949 |
\( -\frac{19658857399239023}{16815125390625} a + \frac{9295885346649719}{5605041796875} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 1600 a - 437\) , \( -4950 a - 47731\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1600a-437\right){x}-4950a-47731$ |
| 5625.8-c7 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.082068302$ |
2.610046949 |
\( -\frac{3229921}{405} a + \frac{2599198}{405} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -25 a + 63\) , \( 50 a + 144\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-25a+63\right){x}+50a+144$ |
| 5625.8-c8 |
5625.8-c |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.270517075$ |
2.610046949 |
\( -\frac{29881004028839}{215233605} a + \frac{120195848059922}{215233605} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -650 a - 1312\) , \( 15425 a + 13394\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-650a-1312\right){x}+15425a+13394$ |
| 5625.8-d1 |
5625.8-d |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.2 |
$1$ |
\( 3 \) |
$0.748546438$ |
$1.464447022$ |
3.966224718 |
\( -\frac{102400}{3} \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 26 a - 9\) , \( 52 a + 38\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(26a-9\right){x}+52a+38$ |
| 5625.8-d2 |
5625.8-d |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{10} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$5$ |
5B.4.1 |
$1$ |
\( 3 \cdot 5 \) |
$0.149709287$ |
$1.464447022$ |
3.966224718 |
\( \frac{20480}{243} \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 6 a - 4\) , \( 17 a - 47\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-4\right){x}+17a-47$ |
| 5625.8-e1 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{22} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{7} \) |
$1$ |
$0.135258537$ |
2.610046949 |
\( \frac{5020579657727137}{31640625} a - \frac{15548725694657158}{31640625} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -9602 a - 3585\) , \( -561301 a + 335820\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-9602a-3585\right){x}-561301a+335820$ |
| 5625.8-e2 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{9} \cdot 5^{29} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{6} \) |
$1$ |
$0.067629268$ |
2.610046949 |
\( \frac{785995287207294187003}{1001129150390625} a - \frac{4434281600575826892151}{1001129150390625} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -24477 a + 22540\) , \( 795449 a - 3413055\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-24477a+22540\right){x}+795449a-3413055$ |
| 5625.8-e3 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{20} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$0.270517075$ |
2.610046949 |
\( -\frac{10492718831}{820125} a + \frac{3853977841}{4100625} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -602 a - 210\) , \( -8926 a + 5070\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-602a-210\right){x}-8926a+5070$ |
| 5625.8-e4 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{12} \cdot 5^{16} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{7} \) |
$1$ |
$0.541034151$ |
2.610046949 |
\( -\frac{2328193}{32805} a - \frac{9002158}{54675} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 23 a - 85\) , \( -426 a + 695\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(23a-85\right){x}-426a+695$ |
| 5625.8-e5 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{33} \cdot 5^{17} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.067629268$ |
2.610046949 |
\( -\frac{1003477310557125250603}{1158137618032400625} a + \frac{1313609484592825399351}{1158137618032400625} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 5273 a + 1790\) , \( 104949 a - 405805\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(5273a+1790\right){x}+104949a-405805$ |
| 5625.8-e6 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{22} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{9} \) |
$1$ |
$0.135258537$ |
2.610046949 |
\( \frac{19658857399239023}{16815125390625} a + \frac{8228798640710134}{16815125390625} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -1602 a + 1165\) , \( 4949 a - 52680\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-1602a+1165\right){x}+4949a-52680$ |
| 5625.8-e7 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$1.082068302$ |
2.610046949 |
\( \frac{3229921}{405} a - \frac{210241}{135} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 23 a + 40\) , \( -51 a + 195\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(23a+40\right){x}-51a+195$ |
| 5625.8-e8 |
5625.8-e |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{18} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$1$ |
$0.270517075$ |
2.610046949 |
\( \frac{29881004028839}{215233605} a + \frac{30104948010361}{71744535} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 648 a - 1960\) , \( -15426 a + 28820\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(648a-1960\right){x}-15426a+28820$ |
| 5625.8-f1 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{32} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{12} \) |
$0.117972737$ |
$0.111785085$ |
4.071637762 |
\( -\frac{147281603041}{215233605} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2751\) , \( -104477\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-2751{x}-104477$ |
| 5625.8-f2 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.887563793$ |
$1.788561370$ |
4.071637762 |
\( -\frac{1}{15} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1\) , \( 23\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}+23$ |
| 5625.8-f3 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{4} \cdot 5^{28} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{6} \) |
$0.943781896$ |
$0.223570171$ |
4.071637762 |
\( \frac{4733169839}{3515625} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 874\) , \( -5227\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+874{x}-5227$ |
| 5625.8-f4 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{20} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$0.471890948$ |
$0.447140342$ |
4.071637762 |
\( \frac{111284641}{50625} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -251\) , \( -727\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-251{x}-727$ |
| 5625.8-f5 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{4} \cdot 5^{16} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$0.943781896$ |
$0.894280685$ |
4.071637762 |
\( \frac{13997521}{225} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -126\) , \( 523\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-126{x}+523$ |
| 5625.8-f6 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{16} \cdot 5^{16} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{10} \) |
$0.235945474$ |
$0.223570171$ |
4.071637762 |
\( \frac{272223782641}{164025} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -3376\) , \( -75727\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-3376{x}-75727$ |
| 5625.8-f7 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1.887563793$ |
$0.447140342$ |
4.071637762 |
\( \frac{56667352321}{15} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -2001\) , \( 34273\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-2001{x}+34273$ |
| 5625.8-f8 |
5625.8-f |
$8$ |
$16$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{8} \cdot 5^{14} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$0.471890948$ |
$0.111785085$ |
4.071637762 |
\( \frac{1114544804970241}{405} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -54001\) , \( -4834477\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-54001{x}-4834477$ |
| 5625.8-g1 |
5625.8-g |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{2} \cdot 5^{20} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.2 |
$1$ |
\( 1 \) |
$7.370491957$ |
$0.654920618$ |
5.821686147 |
\( -\frac{102400}{3} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( -208\) , \( -1256\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}-208{x}-1256$ |
| 5625.8-g2 |
5625.8-g |
$2$ |
$5$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.8 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{10} \cdot 5^{4} \) |
$2.56664$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$5$ |
5B.1.1 |
$1$ |
\( 5^{2} \) |
$1.474098391$ |
$3.274603091$ |
5.821686147 |
\( \frac{20480}{243} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+2{x}+4$ |
*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.
