| 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 |
| 3200.4-a1 |
3200.4-a |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
3200.4 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{14} \) |
$1.77818$ |
$(a), (-a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$0.847449792$ |
1.281223657 |
\( \frac{12459008}{78125} \) |
\( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 31\) , \( 165 a - 67\bigr] \) |
${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-31\right){x}+165a-67$ |
| 3200.5-b1 |
3200.5-b |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
3200.5 |
\( 2^{7} \cdot 5^{2} \) |
\( 2^{16} \cdot 5^{14} \) |
$1.77818$ |
$(a), (-a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2 \) |
$1$ |
$0.847449792$ |
1.281223657 |
\( \frac{12459008}{78125} \) |
\( \bigl[0\) , \( a + 1\) , \( 0\) , \( a - 31\) , \( -165 a + 67\bigr] \) |
${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a-31\right){x}-165a+67$ |
| 12800.4-c1 |
12800.4-c |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
12800.4 |
\( 2^{9} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{14} \) |
$2.51472$ |
$(a), (-a+1), (5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 7 \) |
$0.161981579$ |
$0.599237495$ |
4.108976077 |
\( \frac{12459008}{78125} \) |
\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -31 a + 61\) , \( 367 a - 465\bigr] \) |
${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-31a+61\right){x}+367a-465$ |
| 12800.7-c1 |
12800.7-c |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
12800.7 |
\( 2^{9} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{14} \) |
$2.51472$ |
$(a), (-a+1), (5)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 2^{2} \cdot 7 \) |
$0.161981579$ |
$0.599237495$ |
4.108976077 |
\( \frac{12459008}{78125} \) |
\( \bigl[0\) , \( a\) , \( 0\) , \( 31 a + 30\) , \( -367 a - 98\bigr] \) |
${y}^2={x}^{3}+a{x}^{2}+\left(31a+30\right){x}-367a-98$ |
| 25600.5-l1 |
25600.5-l |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25600.5 |
\( 2^{10} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{14} \) |
$2.99053$ |
$(a), (-a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 7 \) |
$1$ |
$0.599237495$ |
3.170866776 |
\( \frac{12459008}{78125} \) |
\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -31 a + 61\) , \( -367 a + 465\bigr] \) |
${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-31a+61\right){x}-367a+465$ |
| 25600.7-l1 |
25600.7-l |
$1$ |
$1$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
25600.7 |
\( 2^{10} \cdot 5^{2} \) |
\( 2^{22} \cdot 5^{14} \) |
$2.99053$ |
$(a), (-a+1), (5)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
|
$1$ |
\( 7 \) |
$1$ |
$0.599237495$ |
3.170866776 |
\( \frac{12459008}{78125} \) |
\( \bigl[0\) , \( -a\) , \( 0\) , \( 31 a + 30\) , \( 367 a + 98\bigr] \) |
${y}^2={x}^{3}-a{x}^{2}+\left(31a+30\right){x}+367a+98$ |
*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.
