| 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 |
| 69312.1-a1 |
69312.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 19^{3} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$0.150988075$ |
$1.873605777$ |
2.613245557 |
\( 8160 a - \frac{75472}{3} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 13 a - 27\) , \( -27 a + 46\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-27\right){x}-27a+46$ |
| 69312.1-a2 |
69312.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{8} \cdot 3 \cdot 19^{3} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.301976150$ |
$3.747211555$ |
2.613245557 |
\( -\frac{4096}{3} a + \frac{2048}{3} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 3 a - 2\) , \( 2 a + 2\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-2\right){x}+2a+2$ |
| 69312.1-b1 |
69312.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3 \cdot 19^{3} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$0.743096035$ |
$1.888481158$ |
3.240835327 |
\( \frac{1796}{3} a - \frac{2080}{3} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 11 a - 5\) , \( -25 a + 3\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(11a-5\right){x}-25a+3$ |
| 69312.1-b2 |
69312.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{2} \cdot 19^{3} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1.486192070$ |
$0.944240579$ |
3.240835327 |
\( -\frac{4096006}{3} a + \frac{3999994}{3} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 211 a - 125\) , \( -969 a - 69\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(211a-125\right){x}-969a-69$ |
| 69312.1-c1 |
69312.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{8} \cdot 3 \cdot 19^{7} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$1.264608358$ |
0.730121976 |
\( \frac{352256}{57} a - \frac{833536}{57} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 24 a + 29\) , \( 100 a - 148\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(24a+29\right){x}+100a-148$ |
| 69312.1-c2 |
69312.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 19^{8} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$0.632304179$ |
0.730121976 |
\( \frac{680576}{1083} a - \frac{1112912}{1083} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 104 a - 76\) , \( 624 a - 204\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(104a-76\right){x}+624a-204$ |
| 69312.1-c3 |
69312.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3 \cdot 19^{10} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.316152089$ |
0.730121976 |
\( -\frac{2555399912}{390963} a + \frac{504945172}{390963} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -416 a - 296\) , \( 5408 a + 1820\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-416a-296\right){x}+5408a+1820$ |
| 69312.1-c4 |
69312.1-c |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 19^{7} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \) |
$1$ |
$0.316152089$ |
0.730121976 |
\( -\frac{313163992}{171} a + \frac{134834836}{57} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( 1904 a - 1536\) , \( 30656 a - 7492\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(1904a-1536\right){x}+30656a-7492$ |
| 69312.1-d1 |
69312.1-d |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{5} \cdot 19^{2} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 1 \) |
$1$ |
$1.404512218$ |
1.621791014 |
\( \frac{4804}{27} a - \frac{124490}{27} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -8 a - 24\) , \( 32 a + 60\bigr] \) |
${y}^2={x}^{3}-{x}^{2}+\left(-8a-24\right){x}+32a+60$ |
| 69312.1-e1 |
69312.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 19^{9} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$6.122562674$ |
$0.227722110$ |
3.219866046 |
\( -\frac{415808}{81} a - \frac{438476}{81} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 1512 a - 744\) , \( -14976 a - 6804\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(1512a-744\right){x}-14976a-6804$ |
| 69312.1-e2 |
69312.1-e |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{14} \cdot 19^{9} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$12.24512534$ |
$0.113861055$ |
3.219866046 |
\( \frac{62620}{27} a - \frac{5050798}{2187} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 2192 a - 4344\) , \( 69888 a - 126852\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(2192a-4344\right){x}+69888a-126852$ |
| 69312.1-f1 |
69312.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{3} \cdot 19^{10} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$9.191464294$ |
$0.177101014$ |
3.759283833 |
\( \frac{153112323818}{1172889} a - \frac{412559940724}{1172889} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4674 a - 3405\) , \( 112431 a - 14757\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(4674a-3405\right){x}+112431a-14757$ |
| 69312.1-f2 |
69312.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{12} \cdot 19^{7} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$9.191464294$ |
$0.177101014$ |
3.759283833 |
\( -\frac{146505950}{13851} a - \frac{1415641972}{13851} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 914 a - 3885\) , \( -29985 a + 90939\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(914a-3885\right){x}-29985a+90939$ |
| 69312.1-f3 |
69312.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 19^{8} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$4.595732147$ |
$0.354202028$ |
3.759283833 |
\( -\frac{2558180}{9747} a + \frac{2091244}{3249} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 234 a - 285\) , \( 1575 a + 1323\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(234a-285\right){x}+1575a+1323$ |
| 69312.1-f4 |
69312.1-f |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 19^{7} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$2.297866073$ |
$0.708404057$ |
3.759283833 |
\( \frac{271888}{171} a + \frac{615616}{171} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -86 a + 135\) , \( 231 a + 199\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-86a+135\right){x}+231a+199$ |
| 69312.1-g1 |
69312.1-g |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{11} \cdot 19^{8} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 11 \) |
$1$ |
$0.170923306$ |
2.171017579 |
\( \frac{14388242}{729} a + \frac{3255788}{729} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -1341 a - 1910\) , \( 41401 a + 23857\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(-1341a-1910\right){x}+41401a+23857$ |
| 69312.1-h1 |
69312.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{22} \cdot 3^{6} \cdot 19^{8} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1.162244140$ |
$0.288333962$ |
4.643482148 |
\( -\frac{22750096}{9747} a - \frac{52650638}{9747} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -739 a + 789\) , \( -321 a - 8790\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-739a+789\right){x}-321a-8790$ |
| 69312.1-h2 |
69312.1-h |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{3} \cdot 19^{7} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.581122070$ |
$0.576667925$ |
4.643482148 |
\( -\frac{82112}{171} a - \frac{221588}{171} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -99 a - 51\) , \( -825 a - 6\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-99a-51\right){x}-825a-6$ |
| 69312.1-i1 |
69312.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 19^{7} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.327952838$ |
2.272123917 |
\( \frac{4891705216}{171} a - \frac{6360346256}{171} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -891 a - 1719\) , \( 23475 a + 25770\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-891a-1719\right){x}+23475a+25770$ |
| 69312.1-i2 |
69312.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 19^{8} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \cdot 3 \) |
$1$ |
$0.655905677$ |
2.272123917 |
\( \frac{59531264}{9747} a + \frac{305152}{9747} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -51 a - 114\) , \( 378 a + 378\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-51a-114\right){x}+378a+378$ |
| 69312.1-i3 |
69312.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 19^{7} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \cdot 3 \) |
$1$ |
$0.327952838$ |
2.272123917 |
\( -\frac{7945312}{13851} a + \frac{1440976}{4617} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -136 a + 336\) , \( 1284 a + 2844\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-136a+336\right){x}+1284a+2844$ |
| 69312.1-i4 |
69312.1-i |
$4$ |
$4$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 19^{10} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$1$ |
$0.327952838$ |
2.272123917 |
\( -\frac{9684739168}{1172889} a + \frac{9033979568}{1172889} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 114 a - 669\) , \( 2013 a - 6303\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(114a-669\right){x}+2013a-6303$ |
| 69312.1-j1 |
69312.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 19^{3} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.142977151$ |
$1.532793784$ |
5.061156146 |
\( \frac{150608}{27} a + \frac{69440}{27} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( -28\) , \( 16 a + 48\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}-28{x}+16a+48$ |
| 69312.1-j2 |
69312.1-j |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
69312.1 |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 19^{3} \) |
$2.51132$ |
$(-2a+1), (-5a+3), (2)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.285954303$ |
$0.766396892$ |
5.061156146 |
\( -\frac{1482196}{243} a + \frac{2128684}{243} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 40 a - 128\) , \( 288 a - 480\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(40a-128\right){x}+288a-480$ |
*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.
