| 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 |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{13} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( -\frac{74785175353186375}{1536} a + \frac{252196650035225375}{1536} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 43110 a - 145374\) , \( -8233861 a + 27766893\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(43110a-145374\right){x}-8233861a+27766893$ |
| 12.1-a2 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{37} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2 \) |
$1$ |
$1.746262515$ |
1.367933784 |
\( -\frac{1710723757560125}{206158430208} a + \frac{633709458168875}{25769803776} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 4470 a - 15069\) , \( 272609 a - 919317\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4470a-15069\right){x}+272609a-919317$ |
| 12.1-a3 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{15} \cdot 3^{3} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( -\frac{415636375}{36864} a + \frac{181542625}{4608} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 535 a - 1799\) , \( -10951 a + 36927\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(535a-1799\right){x}-10951a+36927$ |
| 12.1-a4 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{12} \cdot 3^{6} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2Cs, 3Cs.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( \frac{3723875}{1728} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -25 a - 59\) , \( 89 a + 211\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-25a-59\right){x}+89a+211$ |
| 12.1-a5 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \) |
$1$ |
$0.873131257$ |
1.367933784 |
\( -\frac{2879604455941411323125}{4608} a + \frac{404618180215561464625}{192} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -1110 a - 2709\) , \( -26351 a - 62809\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1110a-2709\right){x}-26351a-62809$ |
| 12.1-a6 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{37} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( \frac{1710723757560125}{206158430208} a + \frac{3358951907790875}{206158430208} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 22 a - 88\) , \( -134 a + 464\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(22a-88\right){x}-134a+464$ |
| 12.1-a7 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{15} \cdot 3^{3} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( \frac{415636375}{36864} a + \frac{1036704625}{36864} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( -3 a + 7\) , \( a - 7\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-3a+7\right){x}+a-7$ |
| 12.1-a8 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{6} \cdot 3^{12} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( \frac{8934171875}{5832} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -345 a - 819\) , \( 6409 a + 15203\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-345a-819\right){x}+6409a+15203$ |
| 12.1-a9 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{20} \cdot 3^{2} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$9$ |
\( 2^{3} \) |
$1$ |
$1.746262515$ |
1.367933784 |
\( -\frac{257094293735125}{786432} a + \frac{110018396673875}{98304} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -1060 a - 2519\) , \( -30451 a - 72245\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1060a-2519\right){x}-30451a-72245$ |
| 12.1-a10 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{20} \cdot 3^{2} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( \frac{257094293735125}{786432} a + \frac{207684293218625}{262144} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -1750 a - 4154\) , \( 70019 a + 166105\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1750a-4154\right){x}+70019a+166105$ |
| 12.1-a11 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{13} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \) |
$1$ |
$0.873131257$ |
1.367933784 |
\( \frac{74785175353186375}{1536} a + \frac{22176434335254875}{192} \) |
\( \bigl[1\) , \( 0\) , \( a\) , \( 22 a - 193\) , \( 181 a - 1111\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(22a-193\right){x}+181a-1111$ |
| 12.1-a12 |
12.1-a |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( \frac{2879604455941411323125}{4608} a + \frac{6831231869232063827875}{4608} \) |
\( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -28020 a - 66474\) , \( 4365739 a + 10356761\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-28020a-66474\right){x}+4365739a+10356761$ |
| 12.1-b1 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{13} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \) |
$1$ |
$0.873131257$ |
1.367933784 |
\( -\frac{74785175353186375}{1536} a + \frac{252196650035225375}{1536} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -23 a - 171\) , \( -182 a - 930\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-23a-171\right){x}-182a-930$ |
| 12.1-b2 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{37} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( -\frac{1710723757560125}{206158430208} a + \frac{633709458168875}{25769803776} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( -23 a - 66\) , \( 133 a + 330\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-23a-66\right){x}+133a+330$ |
| 12.1-b3 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{15} \cdot 3^{3} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( -\frac{415636375}{36864} a + \frac{181542625}{4608} \) |
\( \bigl[1\) , \( 0\) , \( a + 1\) , \( 2 a + 4\) , \( -2 a - 6\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(2a+4\right){x}-2a-6$ |
| 12.1-b4 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{12} \cdot 3^{6} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2Cs, 3Cs.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( \frac{3723875}{1728} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 27 a - 84\) , \( -63 a + 216\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(27a-84\right){x}-63a+216$ |
| 12.1-b5 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( -\frac{2879604455941411323125}{4608} a + \frac{404618180215561464625}{192} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 28022 a - 94494\) , \( -4337718 a + 14628006\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(28022a-94494\right){x}-4337718a+14628006$ |
| 12.1-b6 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{37} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2 \) |
$1$ |
$1.746262515$ |
1.367933784 |
\( \frac{1710723757560125}{206158430208} a + \frac{3358951907790875}{206158430208} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -4468 a - 10599\) , \( -277078 a - 657307\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4468a-10599\right){x}-277078a-657307$ |
| 12.1-b7 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{15} \cdot 3^{3} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( \frac{415636375}{36864} a + \frac{1036704625}{36864} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -533 a - 1264\) , \( 10417 a + 24712\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-533a-1264\right){x}+10417a+24712$ |
| 12.1-b8 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{6} \cdot 3^{12} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$7.858181321$ |
1.367933784 |
\( \frac{8934171875}{5832} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 347 a - 1164\) , \( -6063 a + 20448\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(347a-1164\right){x}-6063a+20448$ |
| 12.1-b9 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{20} \cdot 3^{2} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( -\frac{257094293735125}{786432} a + \frac{110018396673875}{98304} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 1752 a - 5904\) , \( -68268 a + 230220\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1752a-5904\right){x}-68268a+230220$ |
| 12.1-b10 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{20} \cdot 3^{2} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$9$ |
\( 2^{3} \) |
$1$ |
$1.746262515$ |
1.367933784 |
\( \frac{257094293735125}{786432} a + \frac{207684293218625}{262144} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 1062 a - 3579\) , \( 31512 a - 106275\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1062a-3579\right){x}+31512a-106275$ |
| 12.1-b11 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( - 2^{13} \cdot 3 \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$15.71636264$ |
1.367933784 |
\( \frac{74785175353186375}{1536} a + \frac{22176434335254875}{192} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( -43108 a - 102264\) , \( 8190752 a + 19430768\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-43108a-102264\right){x}+8190752a+19430768$ |
| 12.1-b12 |
12.1-b |
$12$ |
$36$ |
\(\Q(\sqrt{33}) \) |
$2$ |
$[2, 0]$ |
12.1 |
\( 2^{2} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0.95541$ |
$(-a-2), (-a+3), (-2a+7)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \) |
$1$ |
$0.873131257$ |
1.367933784 |
\( \frac{2879604455941411323125}{4608} a + \frac{6831231869232063827875}{4608} \) |
\( \bigl[1\) , \( a + 1\) , \( 0\) , \( 1112 a - 3819\) , \( 27462 a - 92979\bigr] \) |
${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1112a-3819\right){x}+27462a-92979$ |
*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.
