| 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 |
| 11250.3-a1 |
11250.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{25} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.216760919$ |
0.867043679 |
\( -\frac{1885562257009}{234375000} a - \frac{12665379878711}{703125000} \) |
\( \bigl[i\) , \( i - 1\) , \( i\) , \( 720 i + 1546\) , \( -22413 i + 15899\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(720i+1546\right){x}-22413i+15899$ |
| 11250.3-a2 |
11250.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{20} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.433521839$ |
0.867043679 |
\( \frac{405178123}{300000} a - \frac{1228303}{25000} \) |
\( \bigl[i\) , \( i - 1\) , \( i\) , \( 220 i + 46\) , \( -1413 i - 1101\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(220i+46\right){x}-1413i-1101$ |
| 11250.3-a3 |
11250.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2 \cdot 3^{20} \cdot 5^{17} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.216760919$ |
0.867043679 |
\( \frac{27430609}{984150} a + \frac{26476711}{2952450} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( -133 i + 233\) , \( 12788 i - 2114\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-133i+233\right){x}+12788i-2114$ |
| 11250.3-a4 |
11250.3-a |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{16} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.433521839$ |
0.867043679 |
\( -\frac{201070037}{2430} a + \frac{41050754}{405} \) |
\( \bigl[i\) , \( -i - 1\) , \( 1\) , \( -8 i + 608\) , \( 5538 i - 114\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-8i+608\right){x}+5538i-114$ |
| 11250.3-b1 |
11250.3-b |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{5} \cdot 3^{4} \cdot 5^{25} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.216760919$ |
0.867043679 |
\( \frac{1885562257009}{234375000} a - \frac{12665379878711}{703125000} \) |
\( \bigl[1\) , \( i + 1\) , \( 1\) , \( -720 i + 1545\) , \( -22413 i - 15899\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-720i+1545\right){x}-22413i-15899$ |
| 11250.3-b2 |
11250.3-b |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{20} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.433521839$ |
0.867043679 |
\( -\frac{405178123}{300000} a - \frac{1228303}{25000} \) |
\( \bigl[1\) , \( i + 1\) , \( 1\) , \( -220 i + 45\) , \( -1413 i + 1101\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(i+1\right){x}^{2}+\left(-220i+45\right){x}-1413i+1101$ |
| 11250.3-b3 |
11250.3-b |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2 \cdot 3^{20} \cdot 5^{17} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.216760919$ |
0.867043679 |
\( -\frac{27430609}{984150} a + \frac{26476711}{2952450} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( 132 i + 233\) , \( -12788 i - 2114\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(132i+233\right){x}-12788i-2114$ |
| 11250.3-b4 |
11250.3-b |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{16} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.433521839$ |
0.867043679 |
\( \frac{201070037}{2430} a + \frac{41050754}{405} \) |
\( \bigl[i\) , \( i - 1\) , \( 1\) , \( 7 i + 608\) , \( -5538 i - 114\bigr] \) |
${y}^2+i{x}{y}+{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(7i+608\right){x}-5538i-114$ |
| 11250.3-c1 |
11250.3-c |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{14} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.4 |
$1$ |
\( 1 \) |
$1$ |
$1.323811376$ |
1.323811376 |
\( \frac{1039}{24} a + \frac{13913}{24} \) |
\( \bigl[i\) , \( -i\) , \( i + 1\) , \( 8 i - 17\) , \( -29 i - 26\bigr] \) |
${y}^2+i{x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(8i-17\right){x}-29i-26$ |
| 11250.3-c2 |
11250.3-c |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2 \cdot 3^{10} \cdot 5^{10} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.3 |
$1$ |
\( 1 \) |
$1$ |
$1.323811376$ |
1.323811376 |
\( \frac{957521}{486} a + \frac{776647}{486} \) |
\( \bigl[i\) , \( -i - 1\) , \( i\) , \( -20 i + 21\) , \( 38 i + 24\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-20i+21\right){x}+38i+24$ |
| 11250.3-d1 |
11250.3-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{14} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.4 |
$1$ |
\( 1 \) |
$1$ |
$1.323811376$ |
1.323811376 |
\( -\frac{1039}{24} a + \frac{13913}{24} \) |
\( \bigl[1\) , \( -i\) , \( i + 1\) , \( -9 i - 18\) , \( -29 i + 26\bigr] \) |
${y}^2+{x}{y}+\left(i+1\right){y}={x}^{3}-i{x}^{2}+\left(-9i-18\right){x}-29i+26$ |
| 11250.3-d2 |
11250.3-d |
$2$ |
$5$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2 \cdot 3^{10} \cdot 5^{10} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$5$ |
5B.1.3 |
$1$ |
\( 1 \) |
$1$ |
$1.323811376$ |
1.323811376 |
\( -\frac{957521}{486} a + \frac{776647}{486} \) |
\( \bigl[i\) , \( i - 1\) , \( i\) , \( 20 i + 21\) , \( -38 i + 24\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+\left(i-1\right){x}^{2}+\left(20i+21\right){x}-38i+24$ |
| 11250.3-e1 |
11250.3-e |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{18} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{3} \) |
$1$ |
$0.787497134$ |
1.574994268 |
\( -\frac{24389}{12} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -75\) , \( 375\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-75{x}+375$ |
| 11250.3-e2 |
11250.3-e |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{18} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{3} \cdot 5 \) |
$1$ |
$0.157499426$ |
1.574994268 |
\( -\frac{19465109}{248832} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -700\) , \( 34000\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-700{x}+34000$ |
| 11250.3-e3 |
11250.3-e |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{18} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.4 |
$1$ |
\( 2^{4} \cdot 5 \) |
$1$ |
$0.078749713$ |
1.574994268 |
\( \frac{502270291349}{1889568} \) |
\( \bigl[1\) , \( 1\) , \( 0\) , \( -20700\) , \( 1134000\bigr] \) |
${y}^2+{x}{y}={x}^{3}+{x}^{2}-20700{x}+1134000$ |
| 11250.3-e4 |
11250.3-e |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{18} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.3 |
$1$ |
\( 2^{4} \) |
$1$ |
$0.393748567$ |
1.574994268 |
\( \frac{131872229}{18} \) |
\( \bigl[i\) , \( -1\) , \( 0\) , \( -1325\) , \( 19125\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-{x}^{2}-1325{x}+19125$ |
| 11250.3-f1 |
11250.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.2 |
$1$ |
\( 2^{4} \) |
$0.130105512$ |
$3.937485671$ |
4.098308718 |
\( -\frac{24389}{12} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -3\) , \( 3\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-3{x}+3$ |
| 11250.3-f2 |
11250.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{20} \cdot 3^{10} \cdot 5^{6} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$0.650527560$ |
$0.787497134$ |
4.098308718 |
\( -\frac{19465109}{248832} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -28\) , \( 272\bigr] \) |
${y}^2+{x}{y}={x}^{3}-28{x}+272$ |
| 11250.3-f3 |
11250.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{10} \cdot 3^{20} \cdot 5^{6} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/10\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.1 |
$1$ |
\( 2^{4} \cdot 5^{2} \) |
$1.301055121$ |
$0.393748567$ |
4.098308718 |
\( \frac{502270291349}{1889568} \) |
\( \bigl[1\) , \( 0\) , \( 0\) , \( -828\) , \( 9072\bigr] \) |
${y}^2+{x}{y}={x}^{3}-828{x}+9072$ |
| 11250.3-f4 |
11250.3-f |
$4$ |
$10$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 5$ |
2B, 5B.1.2 |
$1$ |
\( 2^{4} \) |
$0.260211024$ |
$1.968742835$ |
4.098308718 |
\( \frac{131872229}{18} \) |
\( \bigl[i\) , \( 0\) , \( 0\) , \( -53\) , \( 153\bigr] \) |
${y}^2+i{x}{y}={x}^{3}-53{x}+153$ |
| 11250.3-g1 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{18} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.336088262$ |
$0.258858028$ |
4.175958957 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -337\) , \( 7969\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-337{x}+7969$ |
| 11250.3-g2 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{14} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.112029420$ |
$0.776574084$ |
4.175958957 |
\( \frac{357911}{2160} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( 38\) , \( -281\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+38{x}-281$ |
| 11250.3-g3 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{36} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1.344353050$ |
$0.064714507$ |
4.175958957 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -11337\) , \( 67969\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-11337{x}+67969$ |
| 11250.3-g4 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{24} \cdot 5^{14} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.448117683$ |
$0.194143521$ |
4.175958957 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -1712\) , \( 24219\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-1712{x}+24219$ |
| 11250.3-g5 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{16} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.224058841$ |
$0.388287042$ |
4.175958957 |
\( \frac{702595369}{72900} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -462\) , \( -3281\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-462{x}-3281$ |
| 11250.3-g6 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{24} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$0.672176525$ |
$0.129429014$ |
4.175958957 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -8337\) , \( 295969\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-8337{x}+295969$ |
| 11250.3-g7 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{20} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3 \) |
$0.448117683$ |
$0.194143521$ |
4.175958957 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -7212\) , \( -232781\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-7212{x}-232781$ |
| 11250.3-g8 |
11250.3-g |
$8$ |
$12$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11250.3 |
\( 2 \cdot 3^{2} \cdot 5^{4} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{18} \) |
$1.84059$ |
$(a+1), (-a-2), (2a+1), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{7} \cdot 3 \) |
$1.344353050$ |
$0.064714507$ |
4.175958957 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[i\) , \( -1\) , \( i\) , \( -133337\) , \( 18795969\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-133337{x}+18795969$ |
*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.
