| 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 |
| 4.1-a1 |
4.1-a |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{24} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B, 11B |
$1$ |
\( 11 \) |
$1$ |
$15.08796500$ |
10.19530954 |
\( -\frac{152462180871}{2048} a - \frac{1164721148231}{2048} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -7288933346 a - 55683152315\) , \( 966375720299215 a + 7382540629439522\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-7288933346a-55683152315\right){x}+966375720299215a+7382540629439522$ |
| 4.1-a2 |
4.1-a |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{48} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B, 11B |
$1$ |
\( 3^{2} \cdot 11 \) |
$1$ |
$1.676440556$ |
10.19530954 |
\( -\frac{3055957613261553}{8589934592} a - \frac{11674955581506991}{4294967296} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1637 a - 12357\) , \( -107088 a - 817744\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1637a-12357\right){x}-107088a-817744$ |
| 4.1-a3 |
4.1-a |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{48} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B, 11B |
$1$ |
\( 3^{2} \cdot 11 \) |
$1$ |
$1.676440556$ |
10.19530954 |
\( \frac{3055957613261553}{8589934592} a - \frac{26405868776275535}{8589934592} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -5661940931 a - 43253889705\) , \( 1409181250911948 a + 10765313760035864\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5661940931a-43253889705\right){x}+1409181250911948a+10765313760035864$ |
| 4.1-a4 |
4.1-a |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{24} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B, 11B |
$1$ |
\( 11 \) |
$1$ |
$15.08796500$ |
10.19530954 |
\( \frac{152462180871}{2048} a - \frac{658591664551}{1024} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -2 a + 133\) , \( -467 a - 3226\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a+133\right){x}-467a-3226$ |
| 4.1-b1 |
4.1-b |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{12} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B.1.1, 11B |
$1$ |
\( 1 \) |
$1$ |
$15.08796500$ |
0.102982924 |
\( -\frac{152462180871}{2048} a - \frac{1164721148231}{2048} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -814 a + 7032\) , \( 848716 a - 7332406\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-814a+7032\right){x}+848716a-7332406$ |
| 4.1-b2 |
4.1-b |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{36} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B.1.2, 11B |
$1$ |
\( 1 \) |
$1$ |
$1.676440556$ |
0.102982924 |
\( -\frac{3055957613261553}{8589934592} a - \frac{11674955581506991}{4294967296} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 846811673312 a - 7315953490921\) , \( -2577533656561928328 a + 22268370816071217156\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(846811673312a-7315953490921\right){x}-2577533656561928328a+22268370816071217156$ |
| 4.1-b3 |
4.1-b |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{36} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B.1.2, 11B |
$1$ |
\( 1 \) |
$1$ |
$1.676440556$ |
0.102982924 |
\( \frac{3055957613261553}{8589934592} a - \frac{26405868776275535}{8589934592} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 243716 a - 2105563\) , \( 186894972 a - 1614662346\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(243716a-2105563\right){x}+186894972a-1614662346$ |
| 4.1-b4 |
4.1-b |
$4$ |
$33$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
4.1 |
\( 2^{2} \) |
\( 2^{12} \) |
$2.05720$ |
$(2,a), (2,a+1)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$3, 11$ |
3B.1.1, 11B |
$1$ |
\( 1 \) |
$1$ |
$15.08796500$ |
0.102982924 |
\( \frac{152462180871}{2048} a - \frac{658591664551}{1024} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 1090148046482 a - 9418236259176\) , \( -1767616678360516808 a + 15271165734032524004\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(1090148046482a-9418236259176\right){x}-1767616678360516808a+15271165734032524004$ |
| 6.1-a1 |
6.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2^{16} \cdot 3^{4} \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( -\frac{159205}{1296} a + \frac{1636171}{1296} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 1459080626 a - 12605595919\) , \( 40125008569776 a - 346656412246222\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1459080626a-12605595919\right){x}+40125008569776a-346656412246222$ |
| 6.1-a2 |
6.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2 \cdot 3 \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$16$ |
\( 1 \) |
$1$ |
$5.999579766$ |
1.474205021 |
\( -\frac{1024278527975}{6} a + \frac{8849162506943}{6} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 19664466119 a - 169889391075\) , \( 4282408244394451 a - 36997481887075053\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(19664466119a-169889391075\right){x}+4282408244394451a-36997481887075053$ |
| 6.1-a3 |
6.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{2} \cdot 3^{2} \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( -\frac{3669025}{36} a + \frac{32010883}{36} \) |
\( \bigl[1\) , \( -a\) , \( a\) , \( 1229206074 a - 10619615595\) , \( 66894823318031 a - 577931825460063\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(1229206074a-10619615595\right){x}+66894823318031a-577931825460063$ |
| 6.1-a4 |
6.1-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2^{13} \cdot 3 \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 1 \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( \frac{23097155}{6} a + \frac{176444521}{6} \) |
\( \bigl[a\) , \( a + 1\) , \( 0\) , \( 358675062116167 a - 3098741025299817\) , \( 19777110093867358569793 a - 170862568610623356372960\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(358675062116167a-3098741025299817\right){x}+19777110093867358569793a-170862568610623356372960$ |
| 6.1-b1 |
6.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2^{4} \cdot 3^{4} \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( -\frac{159205}{1296} a + \frac{1636171}{1296} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( 48549183 a + 370887146\) , \( 1447364291701 a + 11057009675026\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(48549183a+370887146\right){x}+1447364291701a+11057009675026$ |
| 6.1-b2 |
6.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{13} \cdot 3 \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$16$ |
\( 1 \) |
$1$ |
$5.999579766$ |
1.474205021 |
\( -\frac{1024278527975}{6} a + \frac{8849162506943}{6} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -6022 a - 45943\) , \( -670982 a - 5125814\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-6022a-45943\right){x}-670982a-5125814$ |
| 6.1-b3 |
6.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( 2^{14} \cdot 3^{2} \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( -\frac{3669025}{36} a + \frac{32010883}{36} \) |
\( \bigl[a\) , \( -1\) , \( 0\) , \( -1557 a - 11833\) , \( 76433 a + 583996\bigr] \) |
${y}^2+a{x}{y}={x}^{3}-{x}^{2}+\left(-1557a-11833\right){x}+76433a+583996$ |
| 6.1-b4 |
6.1-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.1 |
\( 2 \cdot 3 \) |
\( - 2 \cdot 3 \) |
$2.27667$ |
$(2,a), (3,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 1 \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( \frac{23097155}{6} a + \frac{176444521}{6} \) |
\( \bigl[1\) , \( a + 1\) , \( a\) , \( -1513 a - 11541\) , \( 86466 a + 660525\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1513a-11541\right){x}+86466a+660525$ |
| 6.2-a1 |
6.2-a |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{5} \cdot 3^{7} \) |
$2.27667$ |
$(2,a), (3,a+2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 7 \) |
$0.158829857$ |
$27.98489832$ |
3.822618691 |
\( -\frac{984848617}{69984} a - \frac{2534720995}{23328} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -4 a + 70\) , \( -9 a + 182\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-4a+70\right){x}-9a+182$ |
| 6.2-b1 |
6.2-b |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.2 |
\( 2 \cdot 3 \) |
\( 2^{17} \cdot 3^{7} \) |
$2.27667$ |
$(2,a), (3,a+2)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 5 \) |
$0.090275305$ |
$27.98489832$ |
1.551921549 |
\( -\frac{984848617}{69984} a - \frac{2534720995}{23328} \) |
\( \bigl[0\) , \( a + 1\) , \( a\) , \( -35158896769842 a - 268593238051588\) , \( 324964548521632425357 a + 2482537518477279946593\bigr] \) |
${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-35158896769842a-268593238051588\right){x}+324964548521632425357a+2482537518477279946593$ |
| 6.3-a1 |
6.3-a |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.3 |
\( 2 \cdot 3 \) |
\( 2^{5} \cdot 3^{7} \) |
$2.27667$ |
$(2,a+1), (3,a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 7 \) |
$0.158829857$ |
$27.98489832$ |
3.822618691 |
\( \frac{984848617}{69984} a - \frac{4294505801}{34992} \) |
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 2 a + 67\) , \( 8 a + 173\bigr] \) |
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(2a+67\right){x}+8a+173$ |
| 6.3-b1 |
6.3-b |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.3 |
\( 2 \cdot 3 \) |
\( 2^{17} \cdot 3^{7} \) |
$2.27667$ |
$(2,a+1), (3,a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 5 \) |
$0.090275305$ |
$27.98489832$ |
1.551921549 |
\( \frac{984848617}{69984} a - \frac{4294505801}{34992} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 592 a - 4884\) , \( -20504 a + 177816\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(592a-4884\right){x}-20504a+177816$ |
| 6.4-a1 |
6.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( - 2^{13} \cdot 3 \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 1 \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( -\frac{23097155}{6} a + 33256946 \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -1002162605 a - 7655931254\) , \( -92373550387493 a - 705679452097526\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-1002162605a-7655931254\right){x}-92373550387493a-705679452097526$ |
| 6.4-a2 |
6.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( - 2^{16} \cdot 3^{4} \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( \frac{159205}{1296} a + \frac{246161}{216} \) |
\( \bigl[a\) , \( 0\) , \( 0\) , \( -4074 a - 31052\) , \( -212732 a - 1625032\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-4074a-31052\right){x}-212732a-1625032$ |
| 6.4-a3 |
6.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( 2^{2} \cdot 3^{2} \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( \frac{3669025}{36} a + \frac{4723643}{6} \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -1229206075 a - 9390409521\) , \( -66894823318032 a - 511037002142032\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1229206075a-9390409521\right){x}-66894823318032a-511037002142032$ |
| 6.4-a4 |
6.4-a |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( 2 \cdot 3 \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$16$ |
\( 1 \) |
$1$ |
$5.999579766$ |
1.474205021 |
\( \frac{1024278527975}{6} a + 1304147329828 \) |
\( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -19664466120 a - 150224924956\) , \( -4282408244394452 a - 32715073642680602\bigr] \) |
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-19664466120a-150224924956\right){x}-4282408244394452a-32715073642680602$ |
| 6.4-b1 |
6.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( - 2 \cdot 3 \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$4$ |
\( 1 \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( -\frac{23097155}{6} a + 33256946 \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -149885526234 a - 1145037032621\) , \( -168946569061517898 a - 1290652159508750554\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-149885526234a-1145037032621\right){x}-168946569061517898a-1290652159508750554$ |
| 6.4-b2 |
6.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( - 2^{4} \cdot 3^{4} \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( \frac{159205}{1296} a + \frac{246161}{216} \) |
\( \bigl[1\) , \( -a - 1\) , \( a\) , \( -609730 a - 4657958\) , \( -340828717 a - 2603730413\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-609730a-4657958\right){x}-340828717a-2603730413$ |
| 6.4-b3 |
6.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( 2^{14} \cdot 3^{2} \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$23.99831906$ |
1.474205021 |
\( \frac{3669025}{36} a + \frac{4723643}{6} \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -8218687 a - 62785906\) , \( -36645993111 a - 279953777142\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-8218687a-62785906\right){x}-36645993111a-279953777142$ |
| 6.4-b4 |
6.4-b |
$4$ |
$4$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
6.4 |
\( 2 \cdot 3 \) |
\( 2^{13} \cdot 3 \) |
$2.27667$ |
$(2,a+1), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$16$ |
\( 1 \) |
$1$ |
$5.999579766$ |
1.474205021 |
\( \frac{1024278527975}{6} a + 1304147329828 \) |
\( \bigl[a\) , \( a\) , \( 0\) , \( -131480277 a - 1004431766\) , \( -2342461413361 a - 17895023844002\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-131480277a-1004431766\right){x}-2342461413361a-17895023844002$ |
| 9.1-a1 |
9.1-a |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 3^{2} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$29.53995465$ |
1.814624989 |
\( -\frac{32885}{3} a + \frac{284107}{3} \) |
\( \bigl[a + 1\) , \( 0\) , \( 1\) , \( 5 a + 82\) , \( -6849 a - 52273\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(5a+82\right){x}-6849a-52273$ |
| 9.1-b1 |
9.1-b |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 2^{12} \cdot 3^{2} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$29.53995465$ |
1.814624989 |
\( \frac{32885}{3} a + \frac{251222}{3} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1244342313 a - 9506041330\) , \( 67831649328366 a + 518193800413180\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1244342313a-9506041330\right){x}+67831649328366a+518193800413180$ |
| 9.1-c1 |
9.1-c |
$2$ |
$5$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 2^{12} \cdot 3^{2} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$5$ |
5B.1.2 |
$25$ |
\( 1 \) |
$1$ |
$0.238602363$ |
0.366430666 |
\( -\frac{20516816613376}{3} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( -34546801 a - 263917187\) , \( -315345907522 a - 2409056773386\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-34546801a-263917187\right){x}-315345907522a-2409056773386$ |
| 9.1-c2 |
9.1-c |
$2$ |
$5$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 2^{12} \cdot 3^{10} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/5\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$5$ |
5B.1.1 |
$1$ |
\( 5^{2} \) |
$1$ |
$5.965059077$ |
0.366430666 |
\( -\frac{4096}{243} \) |
\( \bigl[0\) , \( 1\) , \( a\) , \( -20191 a - 154247\) , \( -45338146 a - 346356714\bigr] \) |
${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-20191a-154247\right){x}-45338146a-346356714$ |
| 9.1-d1 |
9.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 2^{12} \cdot 3^{8} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$15.25233342$ |
0.234235848 |
\( -\frac{9355654051781930}{81} a + \frac{80827333959481141}{81} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -1196142642 a - 9137824267\) , \( 73087009811994 a + 558341655411772\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1196142642a-9137824267\right){x}+73087009811994a+558341655411772$ |
| 9.1-d2 |
9.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 3^{40} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.953270839$ |
0.234235848 |
\( -\frac{961067055438969610}{1853020188851841} a + \frac{8800747711416056941}{1853020188851841} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( 2037914544 a + 15568465354\) , \( 333033028229754 a + 2544175945449110\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(2037914544a+15568465354\right){x}+333033028229754a+2544175945449110$ |
| 9.1-d3 |
9.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 3^{32} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$3.813083357$ |
0.234235848 |
\( \frac{316796140513}{43046721} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1286626946 a - 9829071141\) , \( 62693341387490 a + 478940157814746\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-1286626946a-9829071141\right){x}+62693341387490a+478940157814746$ |
| 9.1-d4 |
9.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 3^{40} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$0.953270839$ |
0.234235848 |
\( \frac{961067055438969610}{1853020188851841} a + \frac{2613226885325695777}{617673396283947} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -5335922356 a - 40763300196\) , \( -541958717539894 a - 4140245007892158\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-5335922356a-40763300196\right){x}-541958717539894a-4140245007892158$ |
| 9.1-d5 |
9.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 3^{16} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$4$ |
\( 2^{2} \) |
$1$ |
$15.25233342$ |
0.234235848 |
\( \frac{284500822033}{6561} \) |
\( \bigl[1\) , \( 1\) , \( 1\) , \( -1241329826 a - 9483027856\) , \( 67916986356670 a + 518845724985656\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-1241329826a-9483027856\right){x}+67916986356670a+518845724985656$ |
| 9.1-d6 |
9.1-d |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 2^{12} \cdot 3^{8} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$15.25233342$ |
0.234235848 |
\( \frac{9355654051781930}{81} a + \frac{71471679907699211}{81} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -55501 a - 423845\) , \( 20134347 a + 153814890\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-55501a-423845\right){x}+20134347a+153814890$ |
| 9.1-e1 |
9.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 3^{8} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$15.25233342$ |
3.747773578 |
\( -\frac{9355654051781930}{81} a + \frac{80827333959481141}{81} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 8299717 a - 71704661\) , \( -37131835608 a + 320797162937\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(8299717a-71704661\right){x}-37131835608a+320797162937$ |
| 9.1-e2 |
9.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 2^{12} \cdot 3^{40} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.953270839$ |
3.747773578 |
\( -\frac{961067055438969610}{1853020188851841} a + \frac{8800747711416056941}{1853020188851841} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 12768826520926 a - 110315131338897\) , \( 63442067747198538800 a - 548102053424723506419\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(12768826520926a-110315131338897\right){x}+63442067747198538800a-548102053424723506419$ |
| 9.1-e3 |
9.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 2^{12} \cdot 3^{32} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{8} \) |
$1$ |
$3.813083357$ |
3.747773578 |
\( \frac{316796140513}{43046721} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 3078889679141 a - 26599791200527\) , \( -7338984117234960738 a + 63404494959664030913\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3078889679141a-26599791200527\right){x}-7338984117234960738a+63404494959664030913$ |
| 9.1-e4 |
9.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 2^{12} \cdot 3^{40} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{8} \) |
$1$ |
$0.953270839$ |
3.747773578 |
\( \frac{961067055438969610}{1853020188851841} a + \frac{2613226885325695777}{617673396283947} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -4876715877924 a + 42131949376403\) , \( -38985117496713360336 a + 336808425571788919085\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-4876715877924a+42131949376403\right){x}-38985117496713360336a+336808425571788919085$ |
| 9.1-e5 |
9.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 2^{12} \cdot 3^{16} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{6} \) |
$1$ |
$15.25233342$ |
3.747773578 |
\( \frac{284500822033}{6561} \) |
\( \bigl[a\) , \( -a + 1\) , \( a\) , \( 2970493973846 a - 25663316227937\) , \( -7950467848058457458 a + 68687353800830492913\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2970493973846a-25663316227937\right){x}-7950467848058457458a+68687353800830492913$ |
| 9.1-e6 |
9.1-e |
$6$ |
$8$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 3^{8} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$15.25233342$ |
3.747773578 |
\( \frac{9355654051781930}{81} a + \frac{71471679907699211}{81} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 178897582911 a - 1545569620098\) , \( -133688413759416000 a + 1154989058563048279\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(178897582911a-1545569620098\right){x}-133688413759416000a+1154989058563048279$ |
| 9.1-f1 |
9.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 3^{2} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$5$ |
5B.1.3 |
$625$ |
\( 1 \) |
$1$ |
$0.238602363$ |
9.160766658 |
\( -\frac{20516816613376}{3} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 5166891488 a - 44638895530\) , \( 576769513332716 a - 4982948473087869\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(5166891488a-44638895530\right){x}+576769513332716a-4982948473087869$ |
| 9.1-f2 |
9.1-f |
$2$ |
$5$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( 3^{10} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$5$ |
5B.1.4 |
$25$ |
\( 1 \) |
$1$ |
$5.965059077$ |
9.160766658 |
\( -\frac{4096}{243} \) |
\( \bigl[0\) , \( -1\) , \( 1\) , \( 3019808 a - 26089360\) , \( 82913693324 a - 716325415953\bigr] \) |
${y}^2+{y}={x}^{3}-{x}^{2}+\left(3019808a-26089360\right){x}+82913693324a-716325415953$ |
| 9.1-g1 |
9.1-g |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 3^{2} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$29.53995465$ |
1.814624989 |
\( \frac{32885}{3} a + \frac{251222}{3} \) |
\( \bigl[a\) , \( -a + 1\) , \( 1\) , \( -6 a + 88\) , \( 6849 a - 59122\bigr] \) |
${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a+88\right){x}+6849a-59122$ |
| 9.1-h1 |
9.1-h |
$1$ |
$1$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.1 |
\( 3^{2} \) |
\( - 2^{12} \cdot 3^{2} \) |
$2.51954$ |
$(3,a), (3,a+2)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
|
|
$1$ |
\( 1 \) |
$1$ |
$29.53995465$ |
1.814624989 |
\( -\frac{32885}{3} a + \frac{284107}{3} \) |
\( \bigl[0\) , \( -1\) , \( a\) , \( 0\) , \( -4 a - 45\bigr] \) |
${y}^2+a{y}={x}^{3}-{x}^{2}-4a-45$ |
| 9.2-a1 |
9.2-a |
$2$ |
$23$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( 3^{6} \) |
$2.51954$ |
$(3,a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$23$ |
23B |
$1$ |
\( 1 \) |
$0.886586635$ |
$28.58111609$ |
3.113202877 |
\( -15833493480 a - 120958558085 \) |
\( \bigl[1\) , \( a - 1\) , \( 1\) , \( -6043 a - 46142\) , \( 713603 a + 5451484\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6043a-46142\right){x}+713603a+5451484$ |
| 9.2-a2 |
9.2-a |
$2$ |
$23$ |
\(\Q(\sqrt{265}) \) |
$2$ |
$[2, 0]$ |
9.2 |
\( 3^{2} \) |
\( 2^{12} \cdot 3^{6} \) |
$2.51954$ |
$(3,a)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
✓ |
$23$ |
23B |
$1$ |
\( 1 \) |
$20.39149262$ |
$1.242657221$ |
3.113202877 |
\( 15833493480 a - 136792051565 \) |
\( \bigl[a\) , \( 0\) , \( a\) , \( -30179 a - 230508\) , \( -9647970 a - 73704701\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-30179a-230508\right){x}-9647970a-73704701$ |
*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.
