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 |
2592.1-a1 |
2592.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{20} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.620169672$ |
$2.672415791$ |
2.343848582 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 17\) , \( -10\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+17{x}-10$ |
2592.1-a2 |
2592.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{16} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.240339345$ |
$5.344831582$ |
2.343848582 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21\) , \( -20\bigr] \) |
${y}^2={x}^{3}-21{x}-20$ |
2592.1-a3 |
2592.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.620169672$ |
$10.68966316$ |
2.343848582 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -39\) , \( 92\bigr] \) |
${y}^2={x}^{3}-39{x}+92$ |
2592.1-a4 |
2592.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$0.620169672$ |
$2.672415791$ |
2.343848582 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -72\) , \( -275\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-72{x}-275$ |
2592.1-b1 |
2592.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{20} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.235661887$ |
1.580851681 |
\( -\frac{8000}{81} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -15\) , \( -68 a\bigr] \) |
${y}^2={x}^{3}-15{x}-68a$ |
2592.1-b2 |
2592.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$8.942647551$ |
1.580851681 |
\( -\frac{98115010000}{3} a + 46251861000 \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -450 a - 648\) , \( -342 a - 473\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-450a-648\right){x}-342a-473$ |
2592.1-b3 |
2592.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{16} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$4.471323775$ |
1.580851681 |
\( \frac{2744000}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -105\) , \( -292 a\bigr] \) |
${y}^2={x}^{3}-105{x}-292a$ |
2592.1-b4 |
2592.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.235661887$ |
1.580851681 |
\( \frac{98115010000}{3} a + 46251861000 \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 450 a - 649\) , \( 108 a - 176\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(450a-649\right){x}+108a-176$ |
2592.1-c1 |
2592.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{18} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$1$ |
$5.292520510$ |
1.871188571 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -27\) , \( 0\bigr] \) |
${y}^2={x}^{3}-27{x}$ |
2592.1-c2 |
2592.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{18} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$1$ |
$2.646260255$ |
1.871188571 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 27\) , \( 0\bigr] \) |
${y}^2={x}^{3}+27{x}$ |
2592.1-d1 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-64$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$3.554503499$ |
$1.145864303$ |
2.880030840 |
\( -29071392966 a + 41113158120 \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 135 a - 205\) , \( 1107 a - 1662\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(135a-205\right){x}+1107a-1662$ |
2592.1-d2 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-64$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$0.222156468$ |
$9.166914424$ |
2.880030840 |
\( -29071392966 a + 41113158120 \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 135 a - 204\) , \( -972 a + 1457\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(135a-204\right){x}-972a+1457$ |
2592.1-d3 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$0.444312937$ |
$4.583457212$ |
2.880030840 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 9\) , \( 0\bigr] \) |
${y}^2={x}^{3}+9{x}$ |
2592.1-d4 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.888625874$ |
$9.166914424$ |
2.880030840 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -9\) , \( 0\bigr] \) |
${y}^2={x}^{3}-9{x}$ |
2592.1-d5 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{potential}$ |
$-16$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$0.444312937$ |
$18.33382884$ |
2.880030840 |
\( 287496 \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -24\) , \( 35\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-24{x}+35$ |
2592.1-d6 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{potential}$ |
$-16$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1.777251749$ |
$4.583457212$ |
2.880030840 |
\( 287496 \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -25\) , \( -60\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-25{x}-60$ |
2592.1-d7 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-64$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$3.554503499$ |
$1.145864303$ |
2.880030840 |
\( 29071392966 a + 41113158120 \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -135 a - 205\) , \( -1107 a - 1662\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-135a-205\right){x}-1107a-1662$ |
2592.1-d8 |
2592.1-d |
$8$ |
$16$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( - 2^{9} \cdot 3^{12} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-64$ |
$N(\mathrm{U}(1))$ |
✓ |
|
|
✓ |
|
|
$1$ |
\( 2^{3} \) |
$0.222156468$ |
$9.166914424$ |
2.880030840 |
\( 29071392966 a + 41113158120 \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( -135 a - 204\) , \( 972 a + 1457\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-135a-204\right){x}+972a+1457$ |
2592.1-e1 |
2592.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{20} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.659266702$ |
2.587492299 |
\( \frac{97336}{81} \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 18\) , \( 27\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+18{x}+27$ |
2592.1-e2 |
2592.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{16} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$7.318533405$ |
2.587492299 |
\( \frac{21952}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -21\) , \( 20\bigr] \) |
${y}^2={x}^{3}-21{x}+20$ |
2592.1-e3 |
2592.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$3.659266702$ |
2.587492299 |
\( \frac{140608}{3} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -39\) , \( -92\bigr] \) |
${y}^2={x}^{3}-39{x}-92$ |
2592.1-e4 |
2592.1-e |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$14.63706681$ |
2.587492299 |
\( \frac{7301384}{3} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -73\) , \( 202\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-73{x}+202$ |
2592.1-f1 |
2592.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{6} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.250591196$ |
$15.87756153$ |
2.813420292 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -3\) , \( 0\bigr] \) |
${y}^2={x}^{3}-3{x}$ |
2592.1-f2 |
2592.1-f |
$2$ |
$2$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{6} \) |
$1.80340$ |
$(a), (3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{potential}$ |
$-4$ |
$N(\mathrm{U}(1))$ |
✓ |
✓ |
|
✓ |
|
|
$1$ |
\( 2^{2} \) |
$0.501182392$ |
$7.938780765$ |
2.813420292 |
\( 1728 \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( 3\) , \( 0\bigr] \) |
${y}^2={x}^{3}+3{x}$ |
2592.1-g1 |
2592.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{20} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.235661887$ |
1.580851681 |
\( -\frac{8000}{81} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -15\) , \( 68 a\bigr] \) |
${y}^2={x}^{3}-15{x}+68a$ |
2592.1-g2 |
2592.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$2.235661887$ |
1.580851681 |
\( -\frac{98115010000}{3} a + 46251861000 \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -450 a - 649\) , \( -108 a - 176\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-450a-649\right){x}-108a-176$ |
2592.1-g3 |
2592.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{12} \cdot 3^{16} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$4.471323775$ |
1.580851681 |
\( \frac{2744000}{9} \) |
\( \bigl[0\) , \( 0\) , \( 0\) , \( -105\) , \( 292 a\bigr] \) |
${y}^2={x}^{3}-105{x}+292a$ |
2592.1-g4 |
2592.1-g |
$4$ |
$4$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
2592.1 |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{14} \) |
$1.80340$ |
$(a), (3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$8.942647551$ |
1.580851681 |
\( \frac{98115010000}{3} a + 46251861000 \) |
\( \bigl[a\) , \( 1\) , \( 0\) , \( 450 a - 648\) , \( 342 a - 473\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(450a-648\right){x}+342a-473$ |
*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.