| 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 |
| 12288.1-b5 |
12288.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
12288.1 |
\( 2^{12} \cdot 3 \) |
\( 2^{28} \cdot 3^{4} \) |
$1.62956$ |
$(-2a+1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.079273864$ |
$1.817673508$ |
2.265254003 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 17 a\) , \( -15\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+17a{x}-15$ |
| 2304.1-c3 |
2304.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
2304.1 |
\( 2^{8} \cdot 3^{2} \) |
\( 2^{16} \cdot 3^{4} \) |
$1.23820$ |
$(a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$3.635347017$ |
1.817673508 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -i\) , \( 0\) , \( 4\) , \( -4 i\bigr] \) |
${y}^2={x}^{3}-i{x}^{2}+4{x}-4i$ |
| 36864.7-u3 |
36864.7-u |
$6$ |
$8$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
36864.7 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{4} \) |
$3.27596$ |
$(a), (-a+1), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{5} \) |
$1$ |
$1.817673508$ |
2.748064039 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -17\) , \( -15\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-17{x}-15$ |
| 72.2-a3 |
72.2-a |
$8$ |
$16$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$0.73624$ |
$(a), (-a-1), (a-1)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$7.270694035$ |
0.642644632 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 0\) , \( 0\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}$ |
| 36864.2-j3 |
36864.2-j |
$6$ |
$8$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
36864.2 |
\( 2^{12} \cdot 3^{2} \) |
\( 2^{28} \cdot 3^{4} \) |
$4.10663$ |
$(-a), (a-1), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$2.832319552$ |
$1.817673508$ |
6.209001673 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -17\) , \( -15\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-17{x}-15$ |
| 48.1-a3 |
48.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-6}) \) |
$2$ |
$[0, 1]$ |
48.1 |
\( 2^{4} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$1.15227$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2 \) |
$1$ |
$7.270694035$ |
1.484124205 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+{x}$ |
| 72.1-b3 |
72.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$1.64627$ |
$(2,a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$7.270694035$ |
2.299195332 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}$ |
| 144.2-c3 |
144.2-c |
$6$ |
$8$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
144.2 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$2.31645$ |
$(2,a), (3,a+1), (3,a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$7.270694035$ |
1.943174717 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 1\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+{x}$ |
| 768.1-d3 |
768.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
768.1 |
\( 2^{8} \cdot 3 \) |
\( 2^{28} \cdot 3^{4} \) |
$4.31140$ |
$(2,a+1), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$2.573580810$ |
$3.635347017$ |
8.166463533 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -17\) , \( -15\bigr] \) |
${y}^2={x}^3-{x}^2-17{x}-15$ |
| 144.1-b3 |
144.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-22}) \) |
$2$ |
$[0, 1]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$2.90383$ |
$(2,a), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2 \) |
$3.234548855$ |
$7.270694035$ |
5.013929739 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 20\) , \( 1\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+20{x}+1$ |
| 72.2-a3 |
72.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-26}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$2.65453$ |
$(2,a), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$2.862561557$ |
$7.270694035$ |
4.081727709 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 22\) , \( 2\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+22{x}+2$ |
| 48.1-b3 |
48.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
48.1 |
\( 2^{4} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$2.57656$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2 \) |
$1$ |
$7.270694035$ |
2.654882088 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 23\) , \( -20\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+23{x}-20$ |
| 72.1-a3 |
72.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-34}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$3.03558$ |
$(2,a), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$2.540027220$ |
$7.270694035$ |
6.334389681 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 23\) , \( -20\bigr] \) |
${y}^2+a{x}{y}={x}^3+23{x}-20$ |
| 24.1-a3 |
24.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-42}) \) |
$2$ |
$[0, 1]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$2.56357$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1.637754311$ |
$7.270694035$ |
3.674768381 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 64\) , \( -42\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+64{x}-42$ |
| 72.1-b3 |
72.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-58}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$3.96475$ |
$(2,a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$7.270694035$ |
0.954688898 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 69\) , \( -108\bigr] \) |
${y}^2+a{x}{y}={x}^3+69{x}-108$ |
| 24.1-a3 |
24.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-66}) \) |
$2$ |
$[0, 1]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$3.21361$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$7.270694035$ |
3.579842277 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 134\) , \( -176\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+134{x}-176$ |
| 72.2-a3 |
72.2-a |
$6$ |
$8$ |
\(\Q(\sqrt{-74}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$4.47834$ |
$(2,a), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$8.802095865$ |
$7.270694035$ |
7.439540347 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 138\) , \( -174\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+138{x}-174$ |
| 72.1-a3 |
72.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-82}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$4.71421$ |
$(2,a), (3)$ |
$0 \le r \le 1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
|
\( 2^{2} \) |
$1$ |
$7.270694035$ |
6.555675583 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 139\) , \( -312\bigr] \) |
${y}^2+a{x}{y}={x}^3+139{x}-312$ |
| 72.1-b3 |
72.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-106}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$5.35987$ |
$(2,a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$36$ |
\( 2^{2} \) |
$1$ |
$7.270694035$ |
6.355730093 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 233\) , \( -680\bigr] \) |
${y}^2+a{x}{y}={x}^3+233{x}-680$ |
| 24.1-b3 |
24.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-114}) \) |
$2$ |
$[0, 1]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$4.22351$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$7.270694035$ |
2.723851549 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 346\) , \( -912\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+346{x}-912$ |
| 72.2-b3 |
72.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-122}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$5.75018$ |
$(2,a), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$4.597473188$ |
$7.270694035$ |
3.026322167 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 350\) , \( -910\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+350{x}-910$ |
| 72.1-d3 |
72.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-130}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$5.93572$ |
$(2,a), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1.924533888$ |
$14.54138807$ |
9.817925737 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 351\) , \( -1260\bigr] \) |
${y}^2+a{x}{y}={x}^3+351{x}-1260$ |
| 24.1-d3 |
24.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-138}) \) |
$2$ |
$[0, 1]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$4.64687$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$5.040044010$ |
$14.54138807$ |
6.238794065 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 488\) , \( -1610\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+488{x}-1610$ |
| 72.2-b3 |
72.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-146}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$6.29040$ |
$(2,a), (3,a+1), (3,a+2)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$11.47734078$ |
$14.54138807$ |
13.81244983 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 492\) , \( -1608\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+492{x}-1608$ |
| 72.1-d3 |
72.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{-154}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$6.46044$ |
$(2,a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$14.54138807$ |
2.343556887 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 493\) , \( -2100\bigr] \) |
${y}^2+a{x}{y}={x}^3+493{x}-2100$ |
| 72.2-b3 |
72.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-170}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$6.78775$ |
$(2,a), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$2.209170307$ |
$14.54138807$ |
4.927658439 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 658\) , \( -2590\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+658{x}-2590$ |
| 72.1-b3 |
72.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-178}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$6.94563$ |
$(2,a), (3)$ |
$0 \le r \le 1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
|
\( 2^{2} \) |
$1$ |
$14.54138807$ |
11.13924096 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 659\) , \( -3248\bigr] \) |
${y}^2+a{x}{y}={x}^3+659{x}-3248$ |
| 24.1-b3 |
24.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-186}) \) |
$2$ |
$[0, 1]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$5.39483$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$9.234873457$ |
$14.54138807$ |
9.846464999 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 844\) , \( -3906\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+844{x}-3906$ |
| 72.2-g3 |
72.2-g |
$6$ |
$8$ |
\(\Q(\sqrt{-194}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$7.25108$ |
$(2,a), (3,a+1), (3,a+2)$ |
$0 \le r \le 2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{3} \) |
$1$ |
$14.54138807$ |
4.176043281 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 848\) , \( -3904\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+848{x}-3904$ |
| 72.1-a3 |
72.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{-202}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$7.39907$ |
$(2,a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$14.54138807$ |
0.511564247 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 849\) , \( -4752\bigr] \) |
${y}^2+a{x}{y}={x}^3+849{x}-4752$ |
| 24.1-c3 |
24.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{-210}) \) |
$2$ |
$[0, 1]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$5.73233$ |
$(2,a), (3,a)$ |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1.613564470$ |
$14.54138807$ |
12.95306446 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 1058\) , \( -5600\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+1058{x}-5600$ |
| 72.2-b3 |
72.2-b |
$6$ |
$8$ |
\(\Q(\sqrt{-218}) \) |
$2$ |
$[0, 1]$ |
72.2 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$7.68652$ |
$(2,a), (3,a+1), (3,a+2)$ |
$0 \le r \le 1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
|
\( 2^{3} \) |
$1$ |
$14.54138807$ |
6.673036873 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 1062\) , \( -5598\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+1062{x}-5598$ |
| 72.1-h3 |
72.1-h |
$6$ |
$8$ |
\(\Q(\sqrt{-226}) \) |
$2$ |
$[0, 1]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$7.82629$ |
$(2,a), (3)$ |
$0 \le r \le 1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
|
\( 2^{2} \) |
$1$ |
$14.54138807$ |
16.18998889 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 1063\) , \( -6660\bigr] \) |
${y}^2+a{x}{y}={x}^3+1063{x}-6660$ |
| 48.1-b3 |
48.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{-246}) \) |
$2$ |
$[0, 1]$ |
48.1 |
\( 2^{4} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$7.37813$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2 \) |
$1$ |
$14.54138807$ |
0.927125041 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 1301\) , \( -9020\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+1301{x}-9020$ |
| 144.1-b4 |
144.1-b |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$0.87554$ |
$(a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$22.73403407$ |
1.004711853 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -2\) , \( -1\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-2{x}-1$ |
| 768.1-e4 |
768.1-e |
$8$ |
$16$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
768.1 |
\( 2^{8} \cdot 3 \) |
\( 2^{16} \cdot 3^{4} \) |
$1.62956$ |
$(a+1), (a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$11.36701703$ |
1.640687586 |
\( \frac{35152}{9} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 18 a - 29\) , \( 43 a - 75\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(18a-29\right){x}+43a-75$ |
| 24.1-a3 |
24.1-a |
$6$ |
$8$ |
\(\Q(\sqrt{6}) \) |
$2$ |
$[2, 0]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$0.96894$ |
$(-a+2), (a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1$ |
$22.73403407$ |
1.160141318 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -4\) , \( -2\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-4{x}-2$ |
| 144.1-d3 |
144.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
144.1 |
\( 2^{4} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$1.95776$ |
$(2,a), (3,a+1), (3,a+2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1.496966885$ |
$22.73403407$ |
2.690473437 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 3\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+3{x}$ |
| 72.1-c3 |
72.1-c |
$6$ |
$8$ |
\(\Q(\sqrt{14}) \) |
$2$ |
$[2, 0]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$1.94790$ |
$(-a+4), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$22.73403407$ |
3.037963089 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 3\) , \( 0\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+3{x}$ |
| 72.1-b3 |
72.1-b |
$6$ |
$8$ |
\(\Q(\sqrt{22}) \) |
$2$ |
$[2, 0]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{4} \cdot 3^{4} \) |
$2.44182$ |
$(-3a-14), (-a+5), (a+5)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$22.73403407$ |
1.211728087 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 2\) , \( 2\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+2{x}+2$ |
| 24.1-d3 |
24.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{30}) \) |
$2$ |
$[2, 0]$ |
24.1 |
\( 2^{3} \cdot 3 \) |
\( 2^{4} \cdot 3^{4} \) |
$2.16662$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$0.832965173$ |
$22.73403407$ |
3.457345033 |
\( \frac{35152}{9} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -2\) , \( 0\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-2{x}$ |
| 1296.1-j1 |
1296.1-j |
$8$ |
$16$ |
\(\Q(\zeta_{16})^+\) |
$4$ |
$[4, 0]$ |
1296.1 |
\( 2^{4} \cdot 3^{4} \) |
\( 2^{8} \cdot 3^{8} \) |
$9.90556$ |
$(a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2 \) |
$1$ |
$516.8363050$ |
1.427572094 |
\( \frac{35152}{9} \) |
\( \bigl[a^{2} - 2\) , \( 0\) , \( a^{2} - 2\) , \( -2\) , \( -1\bigr] \) |
${y}^2+\left(a^{2}-2\right){x}{y}+\left(a^{2}-2\right){y}={x}^{3}-2{x}-1$ |
| 72.1-a4 |
72.1-a |
$10$ |
$32$ |
\(\Q(\zeta_{24})^+\) |
$4$ |
$[4, 0]$ |
72.1 |
\( 2^{3} \cdot 3^{2} \) |
\( 2^{8} \cdot 3^{8} \) |
$7.32059$ |
$(a^3-4a+1), (a^2-2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$516.8363050$ |
1.345927877 |
\( \frac{35152}{9} \) |
\( \bigl[a^{3} - 3 a\) , \( 0\) , \( a^{3} - 3 a\) , \( -2\) , \( -1\bigr] \) |
${y}^2+\left(a^{3}-3a\right){x}{y}+\left(a^{3}-3a\right){y}={x}^{3}-2{x}-1$ |
*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.
