| 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 |
| 145200.1-a1 |
145200.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 11^{2} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.173593392$ |
$1.357723271$ |
3.265841219 |
\( -\frac{67108864}{61875} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -21\) , \( -54\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-21{x}-54$ |
| 145200.1-a2 |
145200.1-a |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 11^{4} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 3 \) |
$0.347186784$ |
$0.678861635$ |
3.265841219 |
\( \frac{26894628304}{9075} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -396\) , \( -2904\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-396{x}-2904$ |
| 145200.1-b1 |
145200.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 11^{2} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.205465656$ |
$2.403211716$ |
3.420990679 |
\( -\frac{16384}{2475} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -1\) , \( 10\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-{x}+10$ |
| 145200.1-b2 |
145200.1-b |
$2$ |
$2$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 11^{4} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \cdot 3 \) |
$0.410931312$ |
$1.201605858$ |
3.420990679 |
\( \frac{192143824}{1815} \) |
\( \bigl[0\) , \( -1\) , \( 0\) , \( -76\) , \( 280\bigr] \) |
${y}^2={x}^{3}-{x}^{2}-76{x}+280$ |
| 145200.1-c1 |
145200.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$2$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{2} \) |
$0.641519959$ |
$1.090399208$ |
6.461822970 |
\( -\frac{488095744}{200475} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -41\) , \( 120\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-41{x}+120$ |
| 145200.1-c2 |
145200.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{12} \cdot 11^{6} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$2$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{3} \cdot 3^{3} \) |
$0.641519959$ |
$0.363466402$ |
6.461822970 |
\( \frac{223673040896}{187171875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 319\) , \( -1356\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+319{x}-1356$ |
| 145200.1-c3 |
145200.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{6} \cdot 11^{12} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$2$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{3} \) |
$2.566079837$ |
$0.181733201$ |
6.461822970 |
\( \frac{1628514404944}{664335375} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -1556\) , \( -13356\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-1556{x}-13356$ |
| 145200.1-c4 |
145200.1-c |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
$2$ |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{2} \cdot 3^{2} \) |
$2.566079837$ |
$0.545199604$ |
6.461822970 |
\( \frac{158792223184}{16335} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -716\) , \( 7140\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-716{x}+7140$ |
| 145200.1-d1 |
145200.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{24} \cdot 11^{2} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$9$ |
\( 2^{4} \cdot 3^{2} \) |
$1$ |
$0.100866121$ |
4.192925948 |
\( -\frac{26348629355659264}{24169921875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -15621\) , \( -757296\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-15621{x}-757296$ |
| 145200.1-d2 |
145200.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{8} \cdot 11^{6} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$1$ |
\( 2^{4} \cdot 3^{3} \) |
$1$ |
$0.302598365$ |
4.192925948 |
\( \frac{72268906496}{606436875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( 219\) , \( -4500\bigr] \) |
${y}^2={x}^{3}+{x}^{2}+219{x}-4500$ |
| 145200.1-d3 |
145200.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$4$ |
\( 2^{3} \cdot 3^{3} \) |
$1$ |
$0.151299182$ |
4.192925948 |
\( \frac{13584145739344}{1195803675} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -3156\) , \( -63900\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-3156{x}-63900$ |
| 145200.1-d4 |
145200.1-d |
$4$ |
$6$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
145200.1 |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{12} \cdot 11^{4} \) |
$3.02128$ |
$(-2a+1), (2), (5), (11)$ |
0 |
$\Z/6\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
|
|
$2, 3$ |
2B, 3B.1.1[2] |
$36$ |
\( 2^{3} \cdot 3^{2} \) |
$1$ |
$0.050433060$ |
4.192925948 |
\( \frac{6749703004355978704}{5671875} \) |
\( \bigl[0\) , \( 1\) , \( 0\) , \( -249996\) , \( -48194796\bigr] \) |
${y}^2={x}^{3}+{x}^{2}-249996{x}-48194796$ |
*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.
