| 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 |
| 9.1-CMa1 |
9.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
9.1 |
\( 3^{2} \) |
\( 3^{6} \) |
$0.51333$ |
$(-a)$ |
0 |
$\Z/3\Z$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$3$ |
3Cs.1.1 |
$1$ |
\( 1 \) |
$1$ |
$6.657786957$ |
0.446088510 |
\( -32768 \) |
\( \bigl[0\) , \( a\) , \( 1\) , \( a - 3\) , \( -2\bigr] \) |
${y}^2+{y}={x}^{3}+a{x}^{2}+\left(a-3\right){x}-2$ |
| 9.3-CMa1 |
9.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
9.3 |
\( 3^{2} \) |
\( 3^{6} \) |
$0.51333$ |
$(a-1)$ |
0 |
$\Z/3\Z$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$3$ |
3Cs.1.1 |
$1$ |
\( 1 \) |
$1$ |
$6.657786957$ |
0.446088510 |
\( -32768 \) |
\( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -a - 2\) , \( -2\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a-2\right){x}-2$ |
| 121.1-CMa1 |
121.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
121.1 |
\( 11^{2} \) |
\( 11^{6} \) |
$0.98295$ |
$(-2a+1)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
$11$ |
11B.1.5[2] |
$1$ |
\( 2^{2} \) |
$0.022168779$ |
$3.476915842$ |
0.743685978 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -7\) , \( 10\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}-7{x}+10$ |
| 225.1-CMa1 |
225.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
225.1 |
\( 3^{2} \cdot 5^{2} \) |
\( 3^{6} \cdot 5^{6} \) |
$1.14784$ |
$(-a), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$2.977452843$ |
1.795471620 |
\( -32768 \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( -5 a - 3\) , \( -5 a - 1\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-5a-3\right){x}-5a-1$ |
| 225.3-CMa1 |
225.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
225.3 |
\( 3^{2} \cdot 5^{2} \) |
\( 3^{6} \cdot 5^{6} \) |
$1.14784$ |
$(-a), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$2.977452843$ |
1.795471620 |
\( -32768 \) |
\( \bigl[0\) , \( a\) , \( 1\) , \( 5 a + 3\) , \( a + 8\bigr] \) |
${y}^2+{y}={x}^{3}+a{x}^{2}+\left(5a+3\right){x}+a+8$ |
| 225.7-CMa1 |
225.7-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
225.7 |
\( 3^{2} \cdot 5^{2} \) |
\( 3^{6} \cdot 5^{6} \) |
$1.14784$ |
$(a-1), (-a-1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$2.977452843$ |
1.795471620 |
\( -32768 \) |
\( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -5 a + 8\) , \( -a + 9\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a+8\right){x}-a+9$ |
| 225.9-CMa1 |
225.9-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
225.9 |
\( 3^{2} \cdot 5^{2} \) |
\( 3^{6} \cdot 5^{6} \) |
$1.14784$ |
$(a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$2.977452843$ |
1.795471620 |
\( -32768 \) |
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 5 a - 8\) , \( 5 a - 6\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-8\right){x}+5a-6$ |
| 256.1-CMb1 |
256.1-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.18548$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$2.882906319$ |
1.738457921 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 10\) , \( 12 a - 1\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+10\right){x}+12a-1$ |
| 256.1-CMa1 |
256.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
256.1 |
\( 2^{8} \) |
\( 2^{24} \) |
$1.18548$ |
$(2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$2.882906319$ |
1.738457921 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 10\) , \( -12 a + 1\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+10\right){x}-12a+1$ |
| 529.1-CMa1 |
529.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
529.1 |
\( 23^{2} \) |
\( 23^{6} \) |
$1.42134$ |
$(a+4)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$23$ |
23Cs.2.1 |
$1$ |
\( 1 \) |
$1$ |
$2.404510087$ |
1.449974139 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 6 a + 9\) , \( -9 a + 21\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(6a+9\right){x}-9a+21$ |
| 529.3-CMa1 |
529.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
529.3 |
\( 23^{2} \) |
\( 23^{6} \) |
$1.42134$ |
$(a-5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$23$ |
23Cs.2.1 |
$1$ |
\( 1 \) |
$1$ |
$2.404510087$ |
1.449974139 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -6 a + 15\) , \( 9 a + 12\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(-6a+15\right){x}+9a+12$ |
| 961.1-CMa1 |
961.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
961.1 |
\( 31^{2} \) |
\( 31^{6} \) |
$1.65012$ |
$(-3a+4)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$31$ |
31Cs.7.1 |
$1$ |
\( 1 \) |
$1$ |
$2.071141040$ |
1.248945040 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( -9 a - 8\) , \( 31 a - 12\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-9a-8\right){x}+31a-12$ |
| 961.3-CMa1 |
961.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
961.3 |
\( 31^{2} \) |
\( 31^{6} \) |
$1.65012$ |
$(3a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$31$ |
31Cs.7.1 |
$1$ |
\( 1 \) |
$1$ |
$2.071141040$ |
1.248945040 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 11 a - 18\) , \( -21 a + 1\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(11a-18\right){x}-21a+1$ |
| 2209.1-CMa1 |
2209.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
2209.1 |
\( 47^{2} \) |
\( 47^{6} \) |
$2.03181$ |
$(-2a+7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$47$ |
47Cs.2.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$1.682060422$ |
4.057282398 |
\( -32768 \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( -16 a + 25\) , \( -3 a + 76\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(-16a+25\right){x}-3a+76$ |
| 2209.3-CMa1 |
2209.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
2209.3 |
\( 47^{2} \) |
\( 47^{6} \) |
$2.03181$ |
$(2a+5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$47$ |
47Cs.2.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$1.682060422$ |
4.057282398 |
\( -32768 \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 16 a + 9\) , \( 3 a + 73\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(16a+9\right){x}+3a+73$ |
| 2304.1-CMa1 |
2304.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
2304.1 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{6} \) |
$2.05331$ |
$(-a), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.664446739$ |
1.003699148 |
\( -32768 \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 11 a - 33\) , \( -26 a + 73\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(11a-33\right){x}-26a+73$ |
| 2304.3-CMa1 |
2304.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
2304.3 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{24} \cdot 3^{6} \) |
$2.05331$ |
$(a-1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.664446739$ |
1.003699148 |
\( -32768 \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -11 a - 22\) , \( 26 a + 47\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-11a-22\right){x}+26a+47$ |
| 3025.1-CMa1 |
3025.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
3025.1 |
\( 5^{2} \cdot 11^{2} \) |
\( 5^{6} \cdot 11^{6} \) |
$2.19794$ |
$(-a-1), (-2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$1.554924035$ |
3.750617892 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( -21 a + 14\) , \( 41 a - 113\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-21a+14\right){x}+41a-113$ |
| 3025.3-CMa1 |
3025.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
3025.3 |
\( 5^{2} \cdot 11^{2} \) |
\( 5^{6} \cdot 11^{6} \) |
$2.19794$ |
$(a-2), (-2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$1.554924035$ |
3.750617892 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( 23 a - 8\) , \( -19 a - 80\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(23a-8\right){x}-19a-80$ |
| 3481.1-CMa1 |
3481.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
3481.1 |
\( 59^{2} \) |
\( 59^{6} \) |
$2.27646$ |
$(a+7)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$59$ |
59Cs.3.1 |
$1$ |
\( 1 \) |
$1$ |
$1.501289736$ |
0.905311774 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 10 a + 31\) , \( -50 a + 72\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(10a+31\right){x}-50a+72$ |
| 3481.3-CMa1 |
3481.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
3481.3 |
\( 59^{2} \) |
\( 59^{6} \) |
$2.27646$ |
$(a-8)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$59$ |
59Cs.3.1 |
$1$ |
\( 1 \) |
$1$ |
$1.501289736$ |
0.905311774 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -10 a + 41\) , \( 50 a + 22\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(-10a+41\right){x}+50a+22$ |
| 4096.1-CMb1 |
4096.1-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
4096.1 |
\( 2^{12} \) |
\( 2^{12} \) |
$2.37096$ |
$(2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$0.260975223$ |
$5.765812638$ |
3.629555552 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a + 2\) , \( 1\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+2\right){x}+1$ |
| 4096.1-CMa1 |
4096.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
4096.1 |
\( 2^{12} \) |
\( 2^{12} \) |
$2.37096$ |
$(2)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$0.260975223$ |
$5.765812638$ |
3.629555552 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 2\) , \( -1\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+2\right){x}-1$ |
| 4489.1-CMa1 |
4489.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
4489.1 |
\( 67^{2} \) |
\( 67^{6} \) |
$2.42590$ |
$(-3a-5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$67$ |
67Cs.4.1 |
$1$ |
\( 1 \) |
$1$ |
$1.408812252$ |
0.849545753 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 27 a - 2\) , \( -44 a - 69\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(27a-2\right){x}-44a-69$ |
| 4489.3-CMa1 |
4489.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
4489.3 |
\( 67^{2} \) |
\( 67^{6} \) |
$2.42590$ |
$(3a-8)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$67$ |
67Cs.4.1 |
$1$ |
\( 1 \) |
$1$ |
$1.408812252$ |
0.849545753 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -25 a + 24\) , \( 18 a - 89\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-25a+24\right){x}+18a-89$ |
| 5041.1-CMa1 |
5041.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5041.1 |
\( 71^{2} \) |
\( 71^{6} \) |
$2.49726$ |
$(-5a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$71$ |
71Cs.2.1 |
$9$ |
\( 1 \) |
$1$ |
$1.368552136$ |
7.427411907 |
\( -32768 \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 10 a - 49\) , \( 43 a - 147\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(10a-49\right){x}+43a-147$ |
| 5041.3-CMa1 |
5041.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5041.3 |
\( 71^{2} \) |
\( 71^{6} \) |
$2.49726$ |
$(5a-4)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$71$ |
71Cs.2.1 |
$9$ |
\( 1 \) |
$1$ |
$1.368552136$ |
7.427411907 |
\( -32768 \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( -10 a - 39\) , \( -43 a - 104\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(-10a-39\right){x}-43a-104$ |
| 5625.13-CMa1 |
5625.13-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.13 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{12} \) |
$2.56664$ |
$(a-1), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.331557391$ |
0.802959319 |
\( -32768 \) |
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( -17 a - 34\) , \( -76 a - 29\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-17a-34\right){x}-76a-29$ |
| 5625.3-CMa1 |
5625.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
5625.3 |
\( 3^{2} \cdot 5^{4} \) |
\( 3^{6} \cdot 5^{12} \) |
$2.56664$ |
$(-a), (-a-1), (a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.331557391$ |
0.802959319 |
\( -32768 \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 17 a - 51\) , \( 76 a - 105\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(17a-51\right){x}+76a-105$ |
| 6400.1-CMb1 |
6400.1-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
6400.1 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{6} \) |
$2.65082$ |
$(-a-1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.289274900$ |
0.777462017 |
\( -32768 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 32 a - 21\) , \( -64 a - 61\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(32a-21\right){x}-64a-61$ |
| 6400.1-CMa1 |
6400.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
6400.1 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{6} \) |
$2.65082$ |
$(-a-1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.289274900$ |
0.777462017 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 32 a - 21\) , \( 64 a + 61\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(32a-21\right){x}+64a+61$ |
| 6400.3-CMb1 |
6400.3-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
6400.3 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{6} \) |
$2.65082$ |
$(a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.289274900$ |
0.777462017 |
\( -32768 \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -32 a + 11\) , \( 64 a - 125\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+\left(-32a+11\right){x}+64a-125$ |
| 6400.3-CMa1 |
6400.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
6400.3 |
\( 2^{8} \cdot 5^{2} \) |
\( 2^{24} \cdot 5^{6} \) |
$2.65082$ |
$(a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.289274900$ |
0.777462017 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -32 a + 11\) , \( -64 a + 125\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-32a+11\right){x}-64a+125$ |
| 9801.3-CMa1 |
9801.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
9801.3 |
\( 3^{4} \cdot 11^{2} \) |
\( 3^{12} \cdot 11^{6} \) |
$2.94885$ |
$(-a), (a-1), (-2a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$1.158971947$ |
2.795545521 |
\( -32768 \) |
\( \bigl[0\) , \( 0\) , \( 1\) , \( -66\) , \( -212\bigr] \) |
${y}^2+{y}={x}^{3}-66{x}-212$ |
| 10609.1-CMa1 |
10609.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
10609.1 |
\( 103^{2} \) |
\( 103^{6} \) |
$3.00783$ |
$(-6a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$103$ |
103Cs.2.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$1.136244801$ |
2.740725581 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 17 a - 72\) , \( -63 a + 264\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(17a-72\right){x}-63a+264$ |
| 10609.3-CMa1 |
10609.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
10609.3 |
\( 103^{2} \) |
\( 103^{6} \) |
$3.00783$ |
$(6a-5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
$103$ |
103Cs.2.1 |
$1$ |
\( 2^{2} \) |
$1$ |
$1.136244801$ |
2.740725581 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -15 a - 56\) , \( 47 a + 145\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-15a-56\right){x}+47a+145$ |
| 12321.1-CMa1 |
12321.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
12321.1 |
\( 3^{2} \cdot 37^{2} \) |
\( 3^{6} \cdot 37^{6} \) |
$3.12246$ |
$(-a), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$9$ |
\( 1 \) |
$1$ |
$1.094533433$ |
5.940256450 |
\( -32768 \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( -43 a + 3\) , \( -125 a + 129\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-43a+3\right){x}-125a+129$ |
| 12321.3-CMa1 |
12321.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
12321.3 |
\( 3^{2} \cdot 37^{2} \) |
\( 3^{6} \cdot 37^{6} \) |
$3.12246$ |
$(-a), (3a-5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.094533433$ |
0.660028494 |
\( -32768 \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 27 a + 45\) , \( -111 a + 276\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(27a+45\right){x}-111a+276$ |
| 12321.7-CMa1 |
12321.7-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
12321.7 |
\( 3^{2} \cdot 37^{2} \) |
\( 3^{6} \cdot 37^{6} \) |
$3.12246$ |
$(a-1), (-3a-2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.094533433$ |
0.660028494 |
\( -32768 \) |
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( -27 a + 72\) , \( 111 a + 165\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-27a+72\right){x}+111a+165$ |
| 12321.9-CMa1 |
12321.9-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
12321.9 |
\( 3^{2} \cdot 37^{2} \) |
\( 3^{6} \cdot 37^{6} \) |
$3.12246$ |
$(a-1), (3a-5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$9$ |
\( 1 \) |
$1$ |
$1.094533433$ |
5.940256450 |
\( -32768 \) |
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( 43 a - 40\) , \( 125 a + 4\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(43a-40\right){x}+125a+4$ |
| 13225.1-CMa1 |
13225.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
13225.1 |
\( 5^{2} \cdot 23^{2} \) |
\( 5^{6} \cdot 23^{6} \) |
$3.17822$ |
$(-a-1), (a+4)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.075329601$ |
0.648448148 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 33 a - 72\) , \( 148 a - 126\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(33a-72\right){x}+148a-126$ |
| 13225.3-CMa1 |
13225.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
13225.3 |
\( 5^{2} \cdot 23^{2} \) |
\( 5^{6} \cdot 23^{6} \) |
$3.17822$ |
$(-a-1), (a-5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.075329601$ |
0.648448148 |
\( -32768 \) |
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 39 a + 24\) , \( -14 a - 243\bigr] \) |
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(39a+24\right){x}-14a-243$ |
| 13225.7-CMa1 |
13225.7-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
13225.7 |
\( 5^{2} \cdot 23^{2} \) |
\( 5^{6} \cdot 23^{6} \) |
$3.17822$ |
$(a-2), (a+4)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.075329601$ |
0.648448148 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -37 a + 62\) , \( -24 a - 195\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-37a+62\right){x}-24a-195$ |
| 13225.9-CMa1 |
13225.9-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
13225.9 |
\( 5^{2} \cdot 23^{2} \) |
\( 5^{6} \cdot 23^{6} \) |
$3.17822$ |
$(a-2), (a-5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$1.075329601$ |
0.648448148 |
\( -32768 \) |
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -31 a - 40\) , \( -180 a - 18\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-31a-40\right){x}-180a-18$ |
| 20736.3-CMb1 |
20736.3-CMb |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{12} \) |
$3.55645$ |
$(-a), (a-1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$0.960968773$ |
0.579485973 |
\( -32768 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 96\) , \( 224 a - 112\bigr] \) |
${y}^2={x}^{3}+96{x}+224a-112$ |
| 20736.3-CMa1 |
20736.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
20736.3 |
\( 2^{8} \cdot 3^{4} \) |
\( 2^{24} \cdot 3^{12} \) |
$3.55645$ |
$(-a), (a-1), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$0.960968773$ |
0.579485973 |
\( -32768 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 96\) , \( -224 a + 112\bigr] \) |
${y}^2={x}^{3}+96{x}-224a+112$ |
| 21609.1-CMa1 |
21609.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
21609.1 |
\( 3^{2} \cdot 7^{4} \) |
\( 3^{6} \cdot 7^{12} \) |
$3.59330$ |
$(-a), (7)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.509817883$ |
$0.951112422$ |
4.678434519 |
\( -32768 \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 33 a - 99\) , \( -156 a + 366\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(33a-99\right){x}-156a+366$ |
| 21609.3-CMa1 |
21609.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
21609.3 |
\( 3^{2} \cdot 7^{4} \) |
\( 3^{6} \cdot 7^{12} \) |
$3.59330$ |
$(a-1), (7)$ |
$2$ |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.509817883$ |
$0.951112422$ |
4.678434519 |
\( -32768 \) |
\( \bigl[0\) , \( a - 1\) , \( 1\) , \( -33 a - 66\) , \( 156 a + 210\bigr] \) |
${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-33a-66\right){x}+156a+210$ |
| 24025.1-CMa1 |
24025.1-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
24025.1 |
\( 5^{2} \cdot 31^{2} \) |
\( 5^{6} \cdot 31^{6} \) |
$3.68978$ |
$(-a-1), (-3a+4)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$0.926242431$ |
0.558545201 |
\( -32768 \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( -32 a + 105\) , \( -162 a - 249\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(-32a+105\right){x}-162a-249$ |
| 24025.3-CMa1 |
24025.3-CMa |
$1$ |
$1$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
24025.3 |
\( 5^{2} \cdot 31^{2} \) |
\( 5^{6} \cdot 31^{6} \) |
$3.68978$ |
$(-a-1), (3a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{yes}$ |
$-11$ |
$\mathrm{U}(1)$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 1 \) |
$1$ |
$0.926242431$ |
0.558545201 |
\( -32768 \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( -42 a - 55\) , \( 210 a + 54\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+\left(-42a-55\right){x}+210a+54$ |
*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.
