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 |
111132.3-a1 |
111132.3-a |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{12} \cdot 7^{7} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 1 \) |
$1$ |
$0.749014438$ |
0.864887375 |
\( \frac{43477641}{14} a - \frac{4669083}{7} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -278 a + 356\) , \( 716 a + 1746\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-278a+356\right){x}+716a+1746$ |
111132.3-a2 |
111132.3-a |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{9} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3Cs[2] |
$1$ |
\( 1 \) |
$1$ |
$0.749014438$ |
0.864887375 |
\( \frac{1192725}{1372} a - \frac{2098143}{2744} \) |
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( 23 a + 50\) , \( 225 a - 358\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(23a+50\right){x}+225a-358$ |
111132.3-a3 |
111132.3-a |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{15} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 1 \) |
$1$ |
$0.749014438$ |
0.864887375 |
\( -\frac{50481832659}{80707214} a + \frac{60742004649}{80707214} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -27 a - 45\) , \( 79 a - 293\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-27a-45\right){x}+79a-293$ |
111132.3-a4 |
111132.3-a |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{18} \cdot 3^{4} \cdot 7^{7} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 1 \) |
$1$ |
$0.749014438$ |
0.864887375 |
\( \frac{457190997}{1792} a + \frac{610173645}{3584} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 178 a - 275\) , \( -1485 a + 1396\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(178a-275\right){x}-1485a+1396$ |
111132.3-a5 |
111132.3-a |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{7} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 1 \) |
$1$ |
$0.749014438$ |
0.864887375 |
\( \frac{13989364197}{7} a + \frac{2196790845}{14} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -778 a + 353\) , \( -5643 a + 7157\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-778a+353\right){x}-5643a+7157$ |
111132.3-b1 |
111132.3-b |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{8} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.330370853$ |
1.525917611 |
\( -\frac{11527859979}{28} \) |
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -2119 a + 3389\) , \( -39591 a - 32614\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2119a+3389\right){x}-39591a-32614$ |
111132.3-b2 |
111132.3-b |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{12} \cdot 3^{12} \cdot 7^{12} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3Cs[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.330370853$ |
1.525917611 |
\( -\frac{5000211}{21952} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -161 a + 257\) , \( 2300 a + 2034\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-161a+257\right){x}+2300a+2034$ |
111132.3-b3 |
111132.3-b |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{36} \cdot 3^{4} \cdot 7^{8} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.330370853$ |
1.525917611 |
\( \frac{381790581}{1835008} \) |
\( \bigl[a\) , \( a\) , \( 1\) , \( 157 a - 252\) , \( 2065 a + 1755\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(157a-252\right){x}+2065a+1755$ |
111132.3-b4 |
111132.3-b |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{16} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.330370853$ |
1.525917611 |
\( \frac{253806246034731}{161414428} a + \frac{39085341615816}{40353607} \) |
\( \bigl[a\) , \( a\) , \( 1\) , \( 1662 a - 112\) , \( -2079 a - 24131\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(1662a-112\right){x}-2079a-24131$ |
111132.3-b5 |
111132.3-b |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{16} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2^{2} \) |
$1$ |
$0.330370853$ |
1.525917611 |
\( -\frac{253806246034731}{161414428} a + \frac{410147612497995}{161414428} \) |
\( \bigl[a\) , \( a\) , \( 1\) , \( -1198 a - 632\) , \( -25551 a + 645\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-1198a-632\right){x}-25551a+645$ |
111132.3-c1 |
111132.3-c |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{13} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.537766275$ |
1.241918015 |
\( \frac{57770589}{10976} a + \frac{58432257}{21952} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -245 a + 196\) , \( 343 a - 1372\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-245a+196\right){x}+343a-1372$ |
111132.3-c2 |
111132.3-c |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{4} \cdot 3^{12} \cdot 7^{11} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.537766275$ |
1.241918015 |
\( -\frac{54675}{14} a + \frac{522909}{28} \) |
\( \bigl[a + 1\) , \( 0\) , \( a + 1\) , \( 267 a + 6\) , \( -9 a + 1604\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(267a+6\right){x}-9a+1604$ |
111132.3-d1 |
111132.3-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{8} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.444228306$ |
1.025901328 |
\( -\frac{545407363875}{14} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -1062 a - 1770\) , \( 30200 a + 25670\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1062a-1770\right){x}+30200a+25670$ |
111132.3-d2 |
111132.3-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{16} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.444228306$ |
1.025901328 |
\( \frac{29319464398125}{80707214} a - \frac{9795711286125}{80707214} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -650 a - 38\) , \( 7450 a - 3100\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-650a-38\right){x}+7450a-3100$ |
111132.3-d3 |
111132.3-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{6} \cdot 3^{12} \cdot 7^{12} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3Cs[2] |
$1$ |
\( 2 \) |
$1$ |
$0.444228306$ |
1.025901328 |
\( -\frac{7414875}{2744} \) |
\( \bigl[a\) , \( -a + 1\) , \( a + 1\) , \( -184 a + 293\) , \( -1332 a - 1042\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-184a+293\right){x}-1332a-1042$ |
111132.3-d4 |
111132.3-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{18} \cdot 3^{12} \cdot 7^{8} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.444228306$ |
1.025901328 |
\( \frac{4492125}{3584} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 154 a - 247\) , \( -409 a - 423\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(154a-247\right){x}-409a-423$ |
111132.3-d5 |
111132.3-d |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{16} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
$3$ |
3B[2] |
$1$ |
\( 2 \) |
$1$ |
$0.444228306$ |
1.025901328 |
\( -\frac{29319464398125}{80707214} a + \frac{9761876556000}{40353607} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( 560 a + 182\) , \( -2450 a + 7350\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(560a+182\right){x}-2450a+7350$ |
111132.3-e1 |
111132.3-e |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{8} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2^{3} \) |
$0.102838884$ |
$2.112027078$ |
4.012787769 |
\( -\frac{3}{28} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 2 a - 1\) , \( 9 a + 7\bigr] \) |
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a-1\right){x}+9a+7$ |
111132.3-f1 |
111132.3-f |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{12} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \cdot 3 \) |
$0.423628438$ |
$0.674460306$ |
3.959060297 |
\( -\frac{1788153}{686} a + \frac{1363608}{343} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -29 a + 134\) , \( 395 a + 35\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-29a+134\right){x}+395a+35$ |
111132.3-g1 |
111132.3-g |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{20} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 7 \) |
$0.305665840$ |
$0.209217470$ |
4.135254572 |
\( \frac{38983348653}{26353376} \) |
\( \bigl[1\) , \( a\) , \( 1\) , \( -1175 a + 440\) , \( -3589 a - 2331\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-1175a+440\right){x}-3589a-2331$ |
111132.3-h1 |
111132.3-h |
$1$ |
$1$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 2 \) |
$0.333648630$ |
$3.090765406$ |
4.763045706 |
\( -\frac{1788153}{686} a + \frac{1363608}{343} \) |
\( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -3 a + 6\) , \( -2 a + 1\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a+6\right){x}-2a+1$ |
111132.3-i1 |
111132.3-i |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{7} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{4} \) |
$0.149149633$ |
$0.821451554$ |
5.093027425 |
\( \frac{57770589}{10976} a + \frac{58432257}{21952} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 60 a - 111\) , \( 291 a - 384\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(60a-111\right){x}+291a-384$ |
111132.3-i2 |
111132.3-i |
$2$ |
$3$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
111132.3 |
\( 2^{2} \cdot 3^{4} \cdot 7^{3} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{5} \) |
$2.82591$ |
$(-2a+1), (-3a+1), (3a-2), (2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B.1.1[2] |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.447448899$ |
$2.464354663$ |
5.093027425 |
\( -\frac{54675}{14} a + \frac{522909}{28} \) |
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -15 a + 9\) , \( 9 a - 21\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-15a+9\right){x}+9a-21$ |
*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.