| 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 |
| 96.1-a1 |
96.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{8} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$0.337900933$ |
$9.381457194$ |
0.961269272 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 749\) , \( -3248\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2+749{x}-3248$ |
| 96.1-a2 |
96.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{24} \cdot 3^{4} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$0.675801867$ |
$9.381457194$ |
0.961269272 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -9\) , \( 9\bigr] \) |
${y}^2={x}^3-{x}^2-9{x}+9$ |
| 96.1-a3 |
96.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$1.351603734$ |
$9.381457194$ |
0.961269272 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -4\) , \( -2\bigr] \) |
${y}^2={x}^3-{x}^2-4{x}-2$ |
| 96.1-a4 |
96.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1.351603734$ |
$9.381457194$ |
0.961269272 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 652\) , \( -3135\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+652{x}-3135$ |
| 96.1-b1 |
96.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{8} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$12.40628848$ |
$9.381457194$ |
8.823432201 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( 2272\) , \( -43659\bigr] \) |
${y}^2+a{x}{y}={x}^3-{x}^2+2272{x}-43659$ |
| 96.1-b2 |
96.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{16} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$6.203144244$ |
$9.381457194$ |
8.823432201 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21\) , \( 20\bigr] \) |
${y}^2={x}^3-21{x}+20$ |
| 96.1-b3 |
96.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{2} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$12.40628848$ |
$9.381457194$ |
8.823432201 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -3644\) , \( 84318\bigr] \) |
${y}^2={x}^3-{x}^2-3644{x}+84318$ |
| 96.1-b4 |
96.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{2} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$12.40628848$ |
$9.381457194$ |
8.823432201 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( -6051\) , \( -118044\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3-{x}^2-6051{x}-118044$ |
| 96.1-c1 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{20} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 648\) , \( -3317\bigr] \) |
${y}^2+a{x}{y}={x}^3+648{x}-3317$ |
| 96.1-c2 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{4} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1962\) , \( 18720\bigr] \) |
${y}^2={x}^3-{x}^2-1962{x}+18720$ |
| 96.1-c3 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{14} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -39\) , \( 92\bigr] \) |
${y}^2={x}^3-39{x}+92$ |
| 96.1-c4 |
96.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{14} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 645\) , \( -2189\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+645{x}-2189$ |
| 96.1-d1 |
96.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$0 \le r \le 2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
5.689651475 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 8\) , \( -8\bigr] \) |
${y}^2={x}^3-{x}^2+8{x}-8$ |
| 96.1-d2 |
96.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{4} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$0 \le r \le 2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$64$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
5.689651475 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -2\) , \( 0\bigr] \) |
${y}^2={x}^3-{x}^2-2{x}$ |
| 96.1-d3 |
96.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{24} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$0 \le r \le 2$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$64$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
5.689651475 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -17\) , \( 33\bigr] \) |
${y}^2={x}^3-{x}^2-17{x}+33$ |
| 96.1-d4 |
96.1-d |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$0 \le r \le 2$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
5.689651475 |
\( \frac{7301384}{3} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -32\) , \( -60\bigr] \) |
${y}^2={x}^3-{x}^2-32{x}-60$ |
| 96.1-e1 |
96.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{8} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.620169672$ |
$9.381457194$ |
1.764274647 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 2301\) , \( -9150\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+2301{x}-9150$ |
| 96.1-e2 |
96.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{16} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$1.240339345$ |
$9.381457194$ |
1.764274647 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21\) , \( -20\bigr] \) |
${y}^2={x}^3-21{x}-20$ |
| 96.1-e3 |
96.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{2} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$16$ |
\( 2^{2} \) |
$0.620169672$ |
$9.381457194$ |
1.764274647 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -3644\) , \( -84318\bigr] \) |
${y}^2={x}^3+{x}^2-3644{x}-84318$ |
| 96.1-e4 |
96.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{2} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$2.480678691$ |
$9.381457194$ |
1.764274647 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -6196\) , \( 309125\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2-6196{x}+309125$ |
| 96.1-f1 |
96.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{8} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$10.27241298$ |
$9.381457194$ |
7.305806214 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 604\) , \( -2871\bigr] \) |
${y}^2+a{x}{y}={x}^3+{x}^2+604{x}-2871$ |
| 96.1-f2 |
96.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{24} \cdot 3^{4} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{3} \) |
$5.136206493$ |
$9.381457194$ |
7.305806214 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -9\) , \( -9\bigr] \) |
${y}^2={x}^3+{x}^2-9{x}-9$ |
| 96.1-f3 |
96.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$2.568103246$ |
$9.381457194$ |
7.305806214 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -4\) , \( 2\bigr] \) |
${y}^2={x}^3+{x}^2-4{x}+2$ |
| 96.1-f4 |
96.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$2.568103246$ |
$9.381457194$ |
7.305806214 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 681\) , \( -2694\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+{x}^2+681{x}-2694$ |
| 96.1-g1 |
96.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{8} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{97336}{81} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 8\) , \( 8\bigr] \) |
${y}^2={x}^3+{x}^2+8{x}+8$ |
| 96.1-g2 |
96.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{4} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{4} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -2\) , \( 0\bigr] \) |
${y}^2={x}^3+{x}^2-2{x}$ |
| 96.1-g3 |
96.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{24} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -17\) , \( -33\bigr] \) |
${y}^2={x}^3+{x}^2-17{x}-33$ |
| 96.1-g4 |
96.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{18} \cdot 3^{2} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
1.422412868 |
\( \frac{7301384}{3} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -32\) , \( 60\bigr] \) |
${y}^2={x}^3+{x}^2-32{x}+60$ |
| 96.1-h1 |
96.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{20} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$9$ |
\( 2^{4} \) |
$1$ |
$9.381457194$ |
12.80171582 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( 735\) , \( -3237\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^3+735{x}-3237$ |
| 96.1-h2 |
96.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{4} \cdot 29^{12} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$36$ |
\( 2^{4} \) |
$1$ |
$9.381457194$ |
12.80171582 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1962\) , \( -18720\bigr] \) |
${y}^2={x}^3+{x}^2-1962{x}-18720$ |
| 96.1-h3 |
96.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{12} \cdot 3^{14} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$36$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
12.80171582 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -39\) , \( -92\bigr] \) |
${y}^2={x}^3-39{x}-92$ |
| 96.1-h4 |
96.1-h |
$4$ |
$4$ |
\(\Q(\sqrt{-174}) \) |
$2$ |
$[0, 1]$ |
96.1 |
\( 2^{5} \cdot 3 \) |
\( 2^{6} \cdot 3^{14} \) |
$7.37923$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$36$ |
\( 2^{2} \) |
$1$ |
$9.381457194$ |
12.80171582 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( 558\) , \( -1755\bigr] \) |
${y}^2+a{x}{y}={x}^3+558{x}-1755$ |
*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.
