| 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 |
| 12.1-a1 |
12.1-a |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{2} \cdot 3 \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.774113237$ |
$631.1283610$ |
3.631774688 |
\( -\frac{1307703981005}{12} a^{3} - \frac{162976069959}{4} a^{2} + \frac{8482197737297}{12} a + \frac{951830717234}{3} \) |
\( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{3}{2} a - 2\) , \( a^{2} + a - 4\) , \( a\) , \( \frac{7}{2} a^{3} - \frac{23}{2} a^{2} - \frac{57}{2} a + 53\) , \( -\frac{43}{2} a^{3} - \frac{195}{2} a^{2} - \frac{17}{2} a + 251\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{3}{2}a-2\right){x}{y}+a{y}={x}^{3}+\left(a^{2}+a-4\right){x}^{2}+\left(\frac{7}{2}a^{3}-\frac{23}{2}a^{2}-\frac{57}{2}a+53\right){x}-\frac{43}{2}a^{3}-\frac{195}{2}a^{2}-\frac{17}{2}a+251$ |
| 12.1-a2 |
12.1-a |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{2} \cdot 3 \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 1 \) |
$0.774113237$ |
$157.7820902$ |
3.631774688 |
\( \frac{758955402069437}{12} a^{3} + \frac{399496746369175}{4} a^{2} - \frac{2222290335704369}{12} a - \frac{294307880630930}{3} \) |
\( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 1\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{7}{2} a + 3\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 2\) , \( 53 a^{3} - 144 a^{2} + 10 a + 21\) , \( -\frac{1561}{2} a^{3} + \frac{4685}{2} a^{2} - \frac{1035}{2} a - 858\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-1\right){x}{y}+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-2\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{7}{2}a+3\right){x}^{2}+\left(53a^{3}-144a^{2}+10a+21\right){x}-\frac{1561}{2}a^{3}+\frac{4685}{2}a^{2}-\frac{1035}{2}a-858$ |
| 12.1-a3 |
12.1-a |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{4} \cdot 3^{2} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$0.387056618$ |
$1262.256722$ |
3.631774688 |
\( \frac{124305619}{72} a^{3} + \frac{69552727}{24} a^{2} - \frac{337560937}{72} a - \frac{91498457}{36} \) |
\( \bigl[a^{3} - 5 a + 1\) , \( a^{3} - 6 a + 1\) , \( a^{3} - 4 a\) , \( 4 a^{3} - 8 a^{2} - 5 a + 8\) , \( -5 a^{3} + 23 a^{2} - 18 a - 8\bigr] \) |
${y}^2+\left(a^{3}-5a+1\right){x}{y}+\left(a^{3}-4a\right){y}={x}^{3}+\left(a^{3}-6a+1\right){x}^{2}+\left(4a^{3}-8a^{2}-5a+8\right){x}-5a^{3}+23a^{2}-18a-8$ |
| 12.1-a4 |
12.1-a |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{16} \cdot 3^{2} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.096764154$ |
$315.5641805$ |
3.631774688 |
\( -\frac{53554909}{4608} a^{3} - \frac{5340673}{1536} a^{2} + \frac{345786775}{4608} a + \frac{67436831}{2304} \) |
\( \bigl[a + 1\) , \( a^{2} - 3\) , \( a^{3} - 4 a\) , \( -a^{3} + 2 a^{2} + 7 a - 10\) , \( 4 a^{3} - 5 a^{2} - 24 a + 28\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{3}-4a\right){y}={x}^{3}+\left(a^{2}-3\right){x}^{2}+\left(-a^{3}+2a^{2}+7a-10\right){x}+4a^{3}-5a^{2}-24a+28$ |
| 12.1-a5 |
12.1-a |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{8} \cdot 3^{4} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.193528309$ |
$1262.256722$ |
3.631774688 |
\( \frac{5580005647}{2592} a^{3} - \frac{2698752947}{864} a^{2} - \frac{35403039655}{2592} a + \frac{3091018997}{162} \) |
\( \bigl[\frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 2\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 2\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 3\) , \( -\frac{3}{2} a^{3} - \frac{1}{2} a^{2} + \frac{13}{2} a - 2\) , \( -4 a^{3} - 5 a^{2} + 12 a + 3\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+2\right){x}{y}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+3\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-2\right){x}^{2}+\left(-\frac{3}{2}a^{3}-\frac{1}{2}a^{2}+\frac{13}{2}a-2\right){x}-4a^{3}-5a^{2}+12a+3$ |
| 12.1-a6 |
12.1-a |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{4} \cdot 3^{8} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.387056618$ |
$315.5641805$ |
3.631774688 |
\( \frac{2757970737714201205}{52488} a^{3} - \frac{1334205989042635679}{17496} a^{2} - \frac{17499449907519419455}{52488} a + \frac{12222583887443291953}{26244} \) |
\( \bigl[\frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 2\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 2\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 3\) , \( -\frac{13}{2} a^{3} - \frac{11}{2} a^{2} + \frac{53}{2} a - 2\) , \( 7 a^{3} + 8 a^{2} - 24 a - 5\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+2\right){x}{y}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+3\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-2\right){x}^{2}+\left(-\frac{13}{2}a^{3}-\frac{11}{2}a^{2}+\frac{53}{2}a-2\right){x}+7a^{3}+8a^{2}-24a-5$ |
| 12.1-b1 |
12.1-b |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{16} \cdot 3^{2} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.721488939$ |
$160.9251966$ |
3.452315071 |
\( -\frac{53554909}{4608} a^{3} - \frac{5340673}{1536} a^{2} + \frac{345786775}{4608} a + \frac{67436831}{2304} \) |
\( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 1\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{7}{2} a - 2\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 1\) , \( \frac{1}{2} a^{3} + \frac{3}{2} a^{2} - \frac{3}{2} a - 1\) , \( \frac{7}{2} a^{3} + \frac{11}{2} a^{2} - \frac{23}{2} a - 6\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-1\right){x}{y}+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-1\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{7}{2}a-2\right){x}^{2}+\left(\frac{1}{2}a^{3}+\frac{3}{2}a^{2}-\frac{3}{2}a-1\right){x}+\frac{7}{2}a^{3}+\frac{11}{2}a^{2}-\frac{23}{2}a-6$ |
| 12.1-b2 |
12.1-b |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{8} \cdot 3^{4} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.360744469$ |
$643.7007867$ |
3.452315071 |
\( \frac{5580005647}{2592} a^{3} - \frac{2698752947}{864} a^{2} - \frac{35403039655}{2592} a + \frac{3091018997}{162} \) |
\( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 1\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{5}{2} a + 1\) , \( 1\) , \( \frac{29}{2} a^{3} + \frac{5}{2} a^{2} - \frac{173}{2} a - 37\) , \( -\frac{47}{2} a^{3} - \frac{9}{2} a^{2} + \frac{289}{2} a + 64\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-1\right){x}{y}+{y}={x}^{3}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{5}{2}a+1\right){x}^{2}+\left(\frac{29}{2}a^{3}+\frac{5}{2}a^{2}-\frac{173}{2}a-37\right){x}-\frac{47}{2}a^{3}-\frac{9}{2}a^{2}+\frac{289}{2}a+64$ |
| 12.1-b3 |
12.1-b |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{4} \cdot 3^{8} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.721488939$ |
$40.23129917$ |
3.452315071 |
\( \frac{2757970737714201205}{52488} a^{3} - \frac{1334205989042635679}{17496} a^{2} - \frac{17499449907519419455}{52488} a + \frac{12222583887443291953}{26244} \) |
\( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 1\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{5}{2} a + 1\) , \( 1\) , \( -\frac{81}{2} a^{3} - \frac{105}{2} a^{2} + \frac{687}{2} a + 163\) , \( -\frac{135}{2} a^{3} - \frac{537}{2} a^{2} + \frac{1913}{2} a + 480\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-1\right){x}{y}+{y}={x}^{3}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{5}{2}a+1\right){x}^{2}+\left(-\frac{81}{2}a^{3}-\frac{105}{2}a^{2}+\frac{687}{2}a+163\right){x}-\frac{135}{2}a^{3}-\frac{537}{2}a^{2}+\frac{1913}{2}a+480$ |
| 12.1-b4 |
12.1-b |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{2} \cdot 3 \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.360744469$ |
$1287.401573$ |
3.452315071 |
\( \frac{758955402069437}{12} a^{3} + \frac{399496746369175}{4} a^{2} - \frac{2222290335704369}{12} a - \frac{294307880630930}{3} \) |
\( \bigl[\frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 2\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + \frac{5}{2} a - 1\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 2\) , \( -103 a^{3} + 149 a^{2} + 651 a - 908\) , \( 1247 a^{3} - 1810 a^{2} - 7914 a + 11056\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+2\right){x}{y}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+2\right){y}={x}^{3}+\left(-\frac{1}{2}a^{3}+\frac{1}{2}a^{2}+\frac{5}{2}a-1\right){x}^{2}+\left(-103a^{3}+149a^{2}+651a-908\right){x}+1247a^{3}-1810a^{2}-7914a+11056$ |
| 12.1-b5 |
12.1-b |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{4} \cdot 3^{2} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{2} \) |
$0.180372234$ |
$2574.803147$ |
3.452315071 |
\( \frac{124305619}{72} a^{3} + \frac{69552727}{24} a^{2} - \frac{337560937}{72} a - \frac{91498457}{36} \) |
\( \bigl[\frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 2\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + \frac{5}{2} a - 1\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 2\) , \( -23 a^{3} + 34 a^{2} + 141 a - 198\) , \( -110 a^{3} + 161 a^{2} + 691 a - 968\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+2\right){x}{y}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+2\right){y}={x}^{3}+\left(-\frac{1}{2}a^{3}+\frac{1}{2}a^{2}+\frac{5}{2}a-1\right){x}^{2}+\left(-23a^{3}+34a^{2}+141a-198\right){x}-110a^{3}+161a^{2}+691a-968$ |
| 12.1-b6 |
12.1-b |
$6$ |
$8$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{2} \cdot 3 \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$0.360744469$ |
$1287.401573$ |
3.452315071 |
\( -\frac{1307703981005}{12} a^{3} - \frac{162976069959}{4} a^{2} + \frac{8482197737297}{12} a + \frac{951830717234}{3} \) |
\( \bigl[\frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{5}{2} a + 3\) , \( \frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{5}{2} a - 3\) , \( a^{3} - 4 a + 1\) , \( -\frac{1}{2} a^{3} - \frac{1}{2} a^{2} + \frac{7}{2} a - 1\) , \( -\frac{3}{2} a^{3} - \frac{3}{2} a^{2} + \frac{15}{2} a + 2\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{5}{2}a+3\right){x}{y}+\left(a^{3}-4a+1\right){y}={x}^{3}+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{5}{2}a-3\right){x}^{2}+\left(-\frac{1}{2}a^{3}-\frac{1}{2}a^{2}+\frac{7}{2}a-1\right){x}-\frac{3}{2}a^{3}-\frac{3}{2}a^{2}+\frac{15}{2}a+2$ |
| 12.1-c1 |
12.1-c |
$1$ |
$1$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{2} \cdot 3^{13} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$0.556411627$ |
$171.9128978$ |
2.844208018 |
\( \frac{1049416907}{6377292} a^{3} + \frac{395116529}{2125764} a^{2} - \frac{4876120775}{6377292} a - \frac{743685596}{1594323} \) |
\( \bigl[a^{3} - 5 a + 1\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + \frac{3}{2} a - 1\) , \( \frac{1}{2} a^{3} - \frac{1}{2} a^{2} - \frac{3}{2} a + 3\) , \( -\frac{3}{2} a^{3} + \frac{3}{2} a^{2} + \frac{13}{2} a - 3\) , \( -\frac{1}{2} a^{3} + \frac{3}{2} a^{2} + \frac{3}{2} a - 3\bigr] \) |
${y}^2+\left(a^{3}-5a+1\right){x}{y}+\left(\frac{1}{2}a^{3}-\frac{1}{2}a^{2}-\frac{3}{2}a+3\right){y}={x}^{3}+\left(-\frac{1}{2}a^{3}+\frac{1}{2}a^{2}+\frac{3}{2}a-1\right){x}^{2}+\left(-\frac{3}{2}a^{3}+\frac{3}{2}a^{2}+\frac{13}{2}a-3\right){x}-\frac{1}{2}a^{3}+\frac{3}{2}a^{2}+\frac{3}{2}a-3$ |
| 12.1-d1 |
12.1-d |
$1$ |
$1$ |
4.4.18097.1 |
$4$ |
$[4, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{2} \cdot 3^{13} \) |
$16.39984$ |
$(1/2a^3-1/2a^2-5/2a+1), (a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 13 \) |
$0.018723521$ |
$369.2609900$ |
2.672520377 |
\( \frac{1049416907}{6377292} a^{3} + \frac{395116529}{2125764} a^{2} - \frac{4876120775}{6377292} a - \frac{743685596}{1594323} \) |
\( \bigl[\frac{1}{2} a^{3} + \frac{1}{2} a^{2} - \frac{3}{2} a - 1\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + \frac{5}{2} a - 3\) , \( a\) , \( 4 a^{3} + 6 a^{2} - 14 a - 2\) , \( 13 a^{3} + 14 a^{2} - 31 a - 18\bigr] \) |
${y}^2+\left(\frac{1}{2}a^{3}+\frac{1}{2}a^{2}-\frac{3}{2}a-1\right){x}{y}+a{y}={x}^{3}+\left(-\frac{1}{2}a^{3}+\frac{1}{2}a^{2}+\frac{5}{2}a-3\right){x}^{2}+\left(4a^{3}+6a^{2}-14a-2\right){x}+13a^{3}+14a^{2}-31a-18$ |
*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.
