| 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 |
| 28.2-a9 |
28.2-a |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
28.2 |
\( 2^{2} \cdot 7 \) |
\( 2^{45} \cdot 7 \) |
$0.54385$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$1$ |
\( 2 \) |
$1$ |
$0.875417135$ |
0.330876576 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( -a + 1\) , \( a\) , \( -31 a - 9\) , \( 29 a - 183\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-31a-9\right){x}+29a-183$ |
| 896.2-b9 |
896.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
896.2 |
\( 2^{7} \cdot 7 \) |
\( 2^{63} \cdot 7 \) |
$1.29349$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.309506696$ |
2.105685636 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( -255 a + 282\) , \( -2259 a + 50\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-255a+282\right){x}-2259a+50$ |
| 896.7-b9 |
896.7-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
896.7 |
\( 2^{7} \cdot 7 \) |
\( 2^{63} \cdot 7 \) |
$1.29349$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.309506696$ |
2.105685636 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -17 a - 361\) , \( 2579 a - 629\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-17a-361\right){x}+2579a-629$ |
| 1568.2-b9 |
1568.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1568.2 |
\( 2^{5} \cdot 7^{2} \) |
\( 2^{57} \cdot 7^{7} \) |
$1.48773$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.165438288$ |
2.251072633 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( -395 a + 1383\) , \( 13026 a - 20402\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-395a+1383\right){x}+13026a-20402$ |
| 1568.5-b9 |
1568.5-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1568.5 |
\( 2^{5} \cdot 7^{2} \) |
\( 2^{57} \cdot 7^{7} \) |
$1.48773$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$1$ |
$0.165438288$ |
2.251072633 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 606 a - 1322\) , \( -5616 a - 17948\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(606a-1322\right){x}-5616a-17948$ |
| 1792.5-b9 |
1792.5-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
1792.5 |
\( 2^{8} \cdot 7 \) |
\( 2^{69} \cdot 7 \) |
$1.53823$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1.753603583$ |
$0.218854283$ |
2.320905398 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -479 a - 142\) , \( -2210 a + 10492\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-479a-142\right){x}-2210a+10492$ |
| 2268.2-b9 |
2268.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
2268.2 |
\( 2^{2} \cdot 3^{4} \cdot 7 \) |
\( 2^{45} \cdot 3^{12} \cdot 7 \) |
$1.63154$ |
$(a), (-a+1), (-2a+1), (3)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{4} \) |
$1$ |
$0.291805711$ |
3.970518914 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( -1\) , \( 1\) , \( -270 a - 80\) , \( -710 a + 4331\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-270a-80\right){x}-710a+4331$ |
| 6272.2-b9 |
6272.2-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
6272.2 |
\( 2^{7} \cdot 7^{2} \) |
\( 2^{63} \cdot 7^{7} \) |
$2.10397$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$3.677211459$ |
$0.116982535$ |
2.601420732 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 1780 a - 1977\) , \( 16700 a - 68439\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(1780a-1977\right){x}+16700a-68439$ |
| 6272.7-b9 |
6272.7-b |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
6272.7 |
\( 2^{7} \cdot 7^{2} \) |
\( 2^{63} \cdot 7^{7} \) |
$2.10397$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$3.677211459$ |
$0.116982535$ |
2.601420732 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 110 a + 2534\) , \( 6716 a - 65076\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(110a+2534\right){x}+6716a-65076$ |
| 7168.5-h9 |
7168.5-h |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
7168.5 |
\( 2^{10} \cdot 7 \) |
\( 2^{75} \cdot 7 \) |
$2.17539$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.154753348$ |
2.105685636 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 338 a + 1243\) , \( 5105 a + 23485\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(338a+1243\right){x}+5105a+23485$ |
| 7168.7-h9 |
7168.7-h |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
7168.7 |
\( 2^{10} \cdot 7 \) |
\( 2^{75} \cdot 7 \) |
$2.17539$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.154753348$ |
2.105685636 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 1102 a - 819\) , \( -13811 a + 26238\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(1102a-819\right){x}-13811a+26238$ |
| 17500.2-f8 |
17500.2-f |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
17500.2 |
\( 2^{2} \cdot 5^{4} \cdot 7 \) |
\( 2^{45} \cdot 5^{12} \cdot 7 \) |
$2.71924$ |
$(a), (-a+1), (-2a+1), (5)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{4} \) |
$0.104236044$ |
$0.175083427$ |
8.939617596 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( a\) , \( a\) , \( -750 a - 222\) , \( 3213 a - 19478\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-750a-222\right){x}+3213a-19478$ |
| 23548.4-c8 |
23548.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.4 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{45} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (-4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.162560880$ |
2.211920557 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( a - 1\) , \( 0\) , \( 619 a + 754\) , \( -11835 a - 11630\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(619a+754\right){x}-11835a-11630$ |
| 23548.6-e8 |
23548.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23548.6 |
\( 2^{2} \cdot 7 \cdot 29^{2} \) |
\( 2^{45} \cdot 7 \cdot 29^{6} \) |
$2.92871$ |
$(a), (-a+1), (-2a+1), (4a-3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.162560880$ |
2.211920557 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( a + 1\) , \( 1\) , \( 1002 a - 277\) , \( 17577 a - 16261\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1002a-277\right){x}+17577a-16261$ |
| 23716.4-g8 |
23716.4-g |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23716.4 |
\( 2^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{45} \cdot 7^{7} \cdot 11^{6} \) |
$2.93392$ |
$(a), (-a+1), (-2a+1), (-2a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.099763041$ |
2.714895745 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -1965 a + 3421\) , \( -76203 a + 47545\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1965a+3421\right){x}-76203a+47545$ |
| 23716.6-e8 |
23716.6-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
23716.6 |
\( 2^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{45} \cdot 7^{7} \cdot 11^{6} \) |
$2.93392$ |
$(a), (-a+1), (-2a+1), (2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.099763041$ |
2.714895745 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( -a\) , \( 1\) , \( 706 a - 3795\) , \( 63187 a + 28686\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(706a-3795\right){x}+63187a+28686$ |
| 27104.13-c8 |
27104.13-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.13 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{57} \cdot 7 \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$8.332555422$ |
$0.131974098$ |
3.325124285 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -903 a - 1198\) , \( 23634 a - 40428\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-903a-1198\right){x}+23634a-40428$ |
| 27104.15-j8 |
27104.15-j |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.15 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{57} \cdot 7 \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{5} \cdot 3^{2} \) |
$0.532740893$ |
$0.131974098$ |
7.653290664 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 1425 a + 61\) , \( -32373 a + 13575\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(1425a+61\right){x}-32373a+13575$ |
| 27104.4-j8 |
27104.4-j |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.4 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{57} \cdot 7 \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (-2a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$2.130963575$ |
$0.131974098$ |
7.653290664 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a\) , \( -1\) , \( a\) , \( 1185 a + 709\) , \( 28914 a + 5125\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1185a+709\right){x}+28914a+5125$ |
| 27104.6-c8 |
27104.6-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
27104.6 |
\( 2^{5} \cdot 7 \cdot 11^{2} \) |
\( 2^{57} \cdot 7 \cdot 11^{6} \) |
$3.03351$ |
$(a), (-a+1), (-2a+1), (2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \) |
$8.332555422$ |
$0.131974098$ |
3.325124285 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -1525 a + 479\) , \( -11576 a - 35288\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-1525a+479\right){x}-11576a-35288$ |
| 28672.7-e8 |
28672.7-e |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
28672.7 |
\( 2^{12} \cdot 7 \) |
\( 2^{81} \cdot 7 \) |
$3.07647$ |
$(a), (-a+1), (-2a+1)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$6.315255337$ |
$0.109427141$ |
4.179140127 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -1919 a - 567\) , \( -13275 a + 80665\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1919a-567\right){x}-13275a+80665$ |
| 28672.7-o8 |
28672.7-o |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
28672.7 |
\( 2^{12} \cdot 7 \) |
\( 2^{81} \cdot 7 \) |
$3.07647$ |
$(a), (-a+1), (-2a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$9$ |
\( 2^{3} \) |
$1$ |
$0.109427141$ |
1.488944592 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( -1919 a - 567\) , \( 13275 a - 80665\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-1919a-567\right){x}+13275a-80665$ |
| 38332.4-c8 |
38332.4-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
38332.4 |
\( 2^{2} \cdot 7 \cdot 37^{2} \) |
\( 2^{45} \cdot 7 \cdot 37^{6} \) |
$3.30809$ |
$(a), (-a+1), (-2a+1), (-4a+5)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.143917690$ |
1.958247865 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( 1\) , \( a + 1\) , \( 1142 a - 1378\) , \( -6585 a + 35443\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(1142a-1378\right){x}-6585a+35443$ |
| 38332.6-c8 |
38332.6-c |
$12$ |
$36$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
38332.6 |
\( 2^{2} \cdot 7 \cdot 37^{2} \) |
\( 2^{45} \cdot 7 \cdot 37^{6} \) |
$3.30809$ |
$(a), (-a+1), (-2a+1), (4a+1)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.143917690$ |
1.958247865 |
\( \frac{70135314719125}{481036337152} a + \frac{288417990127625}{481036337152} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -3 a + 1714\) , \( -5899 a + 35982\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a+1714\right){x}-5899a+35982$ |
*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.
