| 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 |
| 11025.2-a1 |
11025.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$0.132178680$ |
$2.670586184$ |
1.764972792 |
\( -\frac{55404928}{65625} a + \frac{98907451}{153125} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( -5 i - 2\) , \( 6 i + 2\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(-5i-2\right){x}+6i+2$ |
| 11025.2-a2 |
11025.2-a |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{2} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.066089340$ |
$1.335293092$ |
1.764972792 |
\( \frac{62407214533}{29296875} a + \frac{1305922516376}{615234375} \) |
\( \bigl[i\) , \( -i\) , \( i\) , \( 30 i - 2\) , \( 48 i + 30\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-i{x}^{2}+\left(30i-2\right){x}+48i+30$ |
| 11025.2-b1 |
11025.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{4} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2 \cdot 5 \) |
$0.132178680$ |
$2.670586184$ |
1.764972792 |
\( \frac{55404928}{65625} a + \frac{98907451}{153125} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( 5 i - 3\) , \( 6 i - 2\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(5i-3\right){x}+6i-2$ |
| 11025.2-b2 |
11025.2-b |
$2$ |
$2$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{2} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{3} \cdot 5 \) |
$0.066089340$ |
$1.335293092$ |
1.764972792 |
\( -\frac{62407214533}{29296875} a + \frac{1305922516376}{615234375} \) |
\( \bigl[1\) , \( -i\) , \( 1\) , \( -30 i - 3\) , \( 48 i - 30\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}-i{x}^{2}+\left(-30i-3\right){x}+48i-30$ |
| 11025.2-c1 |
11025.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{8} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.341111210$ |
$1.393647371$ |
3.738072226 |
\( \frac{590589719}{972405} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( 18\) , \( 37\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}+18{x}+37$ |
| 11025.2-c2 |
11025.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{4} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$0.670555605$ |
$2.787294743$ |
3.738072226 |
\( \frac{47045881}{11025} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -7\) , \( 7\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-7{x}+7$ |
| 11025.2-c3 |
11025.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 1 \) |
$1.341111210$ |
$5.574589486$ |
3.738072226 |
\( \frac{1771561}{105} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -2\) , \( -1\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-2{x}-1$ |
| 11025.2-c4 |
11025.2-c |
$4$ |
$4$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
11025.2 |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \) |
$1.83132$ |
$(-a-2), (2a+1), (3), (7)$ |
$1$ |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1.341111210$ |
$1.393647371$ |
3.738072226 |
\( \frac{157551496201}{13125} \) |
\( \bigl[i\) , \( 0\) , \( i\) , \( -112\) , \( 469\bigr] \) |
${y}^2+i{x}{y}+i{y}={x}^{3}-112{x}+469$ |
*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.
