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 |
90.1-a1 |
90.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.912862642$ |
2.302820115 |
\( -\frac{103412501}{2160} a - \frac{652894927}{4320} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -18 a - 46\) , \( -56 a - 174\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-18a-46\right){x}-56a-174$ |
90.1-a2 |
90.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.912862642$ |
2.302820115 |
\( \frac{424060922274533}{29160} a + \frac{134099859756653}{2916} \) |
\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( -258 a - 846\) , \( -3960 a - 12654\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-258a-846\right){x}-3960a-12654$ |
90.1-b1 |
90.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.912862642$ |
1.381692069 |
\( \frac{103412501}{2160} a - \frac{652894927}{4320} \) |
\( \bigl[a + 1\) , \( 1\) , \( a\) , \( 5 a - 12\) , \( 12 a - 34\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(5a-12\right){x}+12a-34$ |
90.1-b2 |
90.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.912862642$ |
1.381692069 |
\( -\frac{424060922274533}{29160} a + \frac{134099859756653}{2916} \) |
\( \bigl[a + 1\) , \( 1\) , \( a\) , \( 65 a - 212\) , \( 560 a - 1794\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(65a-212\right){x}+560a-1794$ |
90.1-c1 |
90.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.912862642$ |
1.381692069 |
\( -\frac{103412501}{2160} a - \frac{652894927}{4320} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -6 a - 12\) , \( -12 a - 34\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a-12\right){x}-12a-34$ |
90.1-c2 |
90.1-c |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.912862642$ |
1.381692069 |
\( \frac{424060922274533}{29160} a + \frac{134099859756653}{2916} \) |
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -66 a - 212\) , \( -560 a - 1794\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-66a-212\right){x}-560a-1794$ |
90.1-d1 |
90.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.912862642$ |
2.302820115 |
\( \frac{103412501}{2160} a - \frac{652894927}{4320} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 18 a - 46\) , \( 56 a - 174\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(18a-46\right){x}+56a-174$ |
90.1-d2 |
90.1-d |
$2$ |
$2$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 5 \) |
$1$ |
$2.912862642$ |
2.302820115 |
\( -\frac{424060922274533}{29160} a + \frac{134099859756653}{2916} \) |
\( \bigl[a\) , \( a - 1\) , \( 0\) , \( 258 a - 846\) , \( 3960 a - 12654\bigr] \) |
${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(258a-846\right){x}+3960a-12654$ |
90.1-e1 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{3} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B |
$16$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.078024702$ |
1.776497566 |
\( -\frac{4451448983765985658895227933}{656100} a + \frac{140767176767424108251921384}{6561} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 50600 a - 181335\) , \( 12006120 a - 39192277\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(50600a-181335\right){x}+12006120a-39192277$ |
90.1-e2 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{36} \cdot 3^{2} \cdot 5^{6} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$1.248395236$ |
1.776497566 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -55\) , \( -565\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-55{x}-565$ |
90.1-e3 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$11.23555713$ |
1.776497566 |
\( \frac{357911}{2160} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 5\) , \( 23\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+5{x}+23$ |
90.1-e4 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2^{13} \cdot 3^{30} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.702222320$ |
1.776497566 |
\( -\frac{15634088809357392517}{2824295364810} a + \frac{4944021583885925864}{282429536481} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( 740 a - 1875\) , \( 16212 a - 58945\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(740a-1875\right){x}+16212a-58945$ |
90.1-e5 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{24} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$1.248395236$ |
1.776497566 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -1815\) , \( -6165\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-1815{x}-6165$ |
90.1-e6 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{14} \cdot 3^{24} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B |
$4$ |
\( 2^{4} \) |
$1$ |
$2.808889283$ |
1.776497566 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -275\) , \( -1825\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-275{x}-1825$ |
90.1-e7 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{4} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \) |
$1$ |
$11.23555713$ |
1.776497566 |
\( \frac{702595369}{72900} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -75\) , \( 135\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-75{x}+135$ |
90.1-e8 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{24} \cdot 3^{4} \cdot 5^{12} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$1.248395236$ |
1.776497566 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -1335\) , \( -20277\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-1335{x}-20277$ |
90.1-e9 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2^{13} \cdot 3^{30} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B |
$16$ |
\( 2^{2} \) |
$1$ |
$0.702222320$ |
1.776497566 |
\( \frac{15634088809357392517}{2824295364810} a + \frac{4944021583885925864}{282429536481} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -740 a - 1875\) , \( -16212 a - 58945\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-740a-1875\right){x}-16212a-58945$ |
90.1-e10 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{8} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{4} \) |
$1$ |
$11.23555713$ |
1.776497566 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -1155\) , \( 13743\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-1155{x}+13743$ |
90.1-e11 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B |
$4$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.312098809$ |
1.776497566 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -21335\) , \( -1224277\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-21335{x}-1224277$ |
90.1-e12 |
90.1-e |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{3} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B |
$16$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$0.078024702$ |
1.776497566 |
\( \frac{4451448983765985658895227933}{656100} a + \frac{140767176767424108251921384}{6561} \) |
\( \bigl[a\) , \( 1\) , \( a\) , \( -50600 a - 181335\) , \( -12006120 a - 39192277\bigr] \) |
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-50600a-181335\right){x}-12006120a-39192277$ |
90.1-f1 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2^{3} \cdot 3^{10} \cdot 5^{3} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$36$ |
\( 2^{4} \) |
$1$ |
$0.078024702$ |
1.776497566 |
\( -\frac{4451448983765985658895227933}{656100} a + \frac{140767176767424108251921384}{6561} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 12650 a - 45334\) , \( 1494440 a - 4876368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(12650a-45334\right){x}+1494440a-4876368$ |
90.1-f2 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{6} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \) |
$1$ |
$1.248395236$ |
1.776497566 |
\( -\frac{273359449}{1536000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -14\) , \( -64\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-14{x}-64$ |
90.1-f3 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$11.23555713$ |
1.776497566 |
\( \frac{357911}{2160} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 1\) , \( 2\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+{x}+2$ |
90.1-f4 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2 \cdot 3^{30} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.702222320$ |
1.776497566 |
\( -\frac{15634088809357392517}{2824295364810} a + \frac{4944021583885925864}{282429536481} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( 185 a - 469\) , \( 1934 a - 7134\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(185a-469\right){x}+1934a-7134$ |
90.1-f5 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{24} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$9$ |
\( 2^{2} \) |
$1$ |
$1.248395236$ |
1.776497566 |
\( \frac{10316097499609}{5859375000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -454\) , \( -544\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-454{x}-544$ |
90.1-f6 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{2} \cdot 3^{24} \cdot 5^{2} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{6} \cdot 3^{2} \) |
$1$ |
$2.808889283$ |
1.776497566 |
\( \frac{35578826569}{5314410} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -69\) , \( -194\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-69{x}-194$ |
90.1-f7 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.1 |
$1$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$11.23555713$ |
1.776497566 |
\( \frac{702595369}{72900} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -19\) , \( 26\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-19{x}+26$ |
90.1-f8 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{12} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$9$ |
\( 2^{4} \) |
$1$ |
$1.248395236$ |
1.776497566 |
\( \frac{4102915888729}{9000000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -334\) , \( -2368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-334{x}-2368$ |
90.1-f9 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2 \cdot 3^{30} \cdot 5 \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$4$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.702222320$ |
1.776497566 |
\( \frac{15634088809357392517}{2824295364810} a + \frac{4944021583885925864}{282429536481} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -185 a - 469\) , \( -1934 a - 7134\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-185a-469\right){x}-1934a-7134$ |
90.1-f10 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2B, 3B.1.1 |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$1$ |
$11.23555713$ |
1.776497566 |
\( \frac{2656166199049}{33750} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -289\) , \( 1862\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-289{x}+1862$ |
90.1-f11 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cs, 3B.1.2 |
$9$ |
\( 2^{6} \) |
$1$ |
$0.312098809$ |
1.776497566 |
\( \frac{16778985534208729}{81000} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -5334\) , \( -150368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-5334{x}-150368$ |
90.1-f12 |
90.1-f |
$12$ |
$24$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
90.1 |
\( 2 \cdot 3^{2} \cdot 5 \) |
\( - 2^{3} \cdot 3^{10} \cdot 5^{3} \) |
$1.74072$ |
$(2,a), (3,a+1), (3,a+2), (5,a)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
✓ |
|
$2, 3$ |
2B, 3B.1.2 |
$36$ |
\( 2^{4} \) |
$1$ |
$0.078024702$ |
1.776497566 |
\( \frac{4451448983765985658895227933}{656100} a + \frac{140767176767424108251921384}{6561} \) |
\( \bigl[1\) , \( 0\) , \( 1\) , \( -12650 a - 45334\) , \( -1494440 a - 4876368\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-12650a-45334\right){x}-1494440a-4876368$ |
*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.