| 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 |
| 1225.2-a3 |
1225.2-a |
$5$ |
$9$ |
\(\Q(\sqrt{-3}) \) |
$2$ |
$[0, 1]$ |
1225.2 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$0.91566$ |
$(-3a+1), (3a-2), (5)$ |
0 |
$\Z/3\Z\oplus\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1[2] |
$1$ |
\( 3^{3} \) |
$1$ |
$2.324925606$ |
0.894864283 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( -a\) , \( 1\) , \( 9 a - 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}-a{x}^{2}+\left(9a-9\right){x}+1$ |
| 1225.2-a3 |
1225.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-1}) \) |
$2$ |
$[0, 1]$ |
1225.2 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.05731$ |
$(-a-2), (2a+1), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3 \) |
$1$ |
$2.324925606$ |
0.774975202 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 175.1-a3 |
175.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-7}) \) |
$2$ |
$[0, 1]$ |
175.1 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$0.85990$ |
$(-2a+1), (5)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.122459267$ |
$2.324925606$ |
0.860878149 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-2}) \) |
$2$ |
$[0, 1]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.49526$ |
$(5), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$0.757163484$ |
$2.324925606$ |
2.489509108 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 1225.2-a3 |
1225.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-11}) \) |
$2$ |
$[0, 1]$ |
1225.2 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.75335$ |
$(-a-1), (a-2), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3 \) |
$1$ |
$2.324925606$ |
0.467327630 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 245.1-b3 |
245.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-15}) \) |
$2$ |
$[0, 1]$ |
245.1 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.36923$ |
$(5,a+2), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.324925606$ |
0.800390947 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 1225.5-a3 |
1225.5-a |
$3$ |
$9$ |
\(\Q(\sqrt{-19}) \) |
$2$ |
$[0, 1]$ |
1225.5 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$2.30435$ |
$(-a), (a-1), (-a-1), (a-2)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$0.709266420$ |
$2.324925606$ |
1.513218530 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 245.2-b3 |
245.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-5}) \) |
$2$ |
$[0, 1]$ |
245.2 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.58105$ |
$(-a), (7,a+3), (7,a+4)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.646271154$ |
$2.324925606$ |
2.687811589 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-23}) \) |
$2$ |
$[0, 1]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$2.53534$ |
$(5), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$1.873711802$ |
$2.324925606$ |
3.633355781 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 1225.5-b3 |
1225.5-b |
$3$ |
$9$ |
\(\Q(\sqrt{-31}) \) |
$2$ |
$[0, 1]$ |
1225.5 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$2.94343$ |
$(5,a+1), (5,a+3), (7,a+2), (7,a+4)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$1.215545480$ |
$2.324925606$ |
2.030296275 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 35.1-b3 |
35.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-35}) \) |
$2$ |
$[0, 1]$ |
35.1 |
\( 5 \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$1.28585$ |
$(5,a+2), (7,a+3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$2, 3$ |
2Cn, 3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.324925606$ |
1.047957743 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 245.2-a3 |
245.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-10}) \) |
$2$ |
$[0, 1]$ |
245.2 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$2.23594$ |
$(5,a), (7,a+2), (7,a+5)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.872291752$ |
$2.324925606$ |
2.565256626 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-43}) \) |
$2$ |
$[0, 1]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$3.46662$ |
$(5), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$1.657487379$ |
$2.324925606$ |
2.350634222 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 245.2-b3 |
245.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-55}) \) |
$2$ |
$[0, 1]$ |
245.2 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$2.62187$ |
$(5,a+2), (7,a), (7,a+6)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$0.997723734$ |
$2.324925606$ |
2.502234495 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 175.2-f3 |
175.2-f |
$3$ |
$9$ |
\(\Q(\sqrt{-14}) \) |
$2$ |
$[0, 1]$ |
175.2 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$2.43216$ |
$(5,a+1), (5,a+4), (7,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$2.324925606$ |
1.656966679 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-67}) \) |
$2$ |
$[0, 1]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$4.32723$ |
$(5), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$2.792058200$ |
$2.324925606$ |
3.172167546 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 175.2-c3 |
175.2-c |
$3$ |
$9$ |
\(\Q(\sqrt{-21}) \) |
$2$ |
$[0, 1]$ |
175.2 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$2.97878$ |
$(5,a+2), (5,a+3), (7,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.324925606$ |
0.338226907 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 175.2-a3 |
175.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-91}) \) |
$2$ |
$[0, 1]$ |
175.2 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$3.10041$ |
$(5,a+1), (5,a+3), (7,a+3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$2.324925606$ |
0.324957901 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 245.1-b3 |
245.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-95}) \) |
$2$ |
$[0, 1]$ |
245.1 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$3.44581$ |
$(5,a+2), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$2.324925606$ |
1.272172449 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 245.2-a3 |
245.2-a |
$3$ |
$9$ |
\(\Q(\sqrt{-115}) \) |
$2$ |
$[0, 1]$ |
245.2 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$3.79122$ |
$(5,a+2), (7,a+2), (7,a+4)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1.434457181$ |
$2.324925606$ |
2.487927477 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 175.2-b3 |
175.2-b |
$3$ |
$9$ |
\(\Q(\sqrt{-119}) \) |
$2$ |
$[0, 1]$ |
175.2 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$3.54545$ |
$(5,a), (5,a+4), (7,a+3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1$ |
$4.649851213$ |
0.284167441 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 245.1-c3 |
245.1-c |
$3$ |
$9$ |
\(\Q(\sqrt{-30}) \) |
$2$ |
$[0, 1]$ |
245.1 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$3.87276$ |
$(5,a), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2 \cdot 3 \) |
$1$ |
$2.324925606$ |
1.131923732 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-163}) \) |
$2$ |
$[0, 1]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$6.74942$ |
$(5), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$4.309209063$ |
$2.324925606$ |
3.138866280 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 35.1-a3 |
35.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{-70}) \) |
$2$ |
$[0, 1]$ |
35.1 |
\( 5 \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$3.63693$ |
$(5,a), (7,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.324925606$ |
1.482036053 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 35.1-e3 |
35.1-e |
$3$ |
$9$ |
\(\Q(\sqrt{-105}) \) |
$2$ |
$[0, 1]$ |
35.1 |
\( 5 \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$4.45431$ |
$(5,a), (7,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.324925606$ |
1.210077370 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 35.1-c3 |
35.1-c |
$3$ |
$9$ |
\(\Q(\sqrt{-455}) \) |
$2$ |
$[0, 1]$ |
35.1 |
\( 5 \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$4.63619$ |
$(5,a+2), (7,a+3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$2.324925606$ |
1.162604731 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 35.1-b3 |
35.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{-595}) \) |
$2$ |
$[0, 1]$ |
35.1 |
\( 5 \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$5.30169$ |
$(5,a+2), (7,a+3)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$4.649851213$ |
1.016668344 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 35.1-f3 |
35.1-f |
$3$ |
$9$ |
\(\Q(\sqrt{-210}) \) |
$2$ |
$[0, 1]$ |
35.1 |
\( 5 \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$6.29934$ |
$(5,a), (7,a)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$4$ |
\( 2^{2} \cdot 3 \) |
$1$ |
$4.649851213$ |
0.855653914 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^3+{x}^2+9{x}+1$ |
| 245.1-a3 |
245.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{5}) \) |
$2$ |
$[2, 0]$ |
245.1 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$0.79052$ |
$(-2a+1), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$0.277720001$ |
$4.446757890$ |
0.736384057 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 1225.1-b3 |
1225.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{2}) \) |
$2$ |
$[2, 0]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.49526$ |
$(-2a+1), (2a+1), (5)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{3} \) |
$0.210629345$ |
$4.446757890$ |
1.986866193 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{3}) \) |
$2$ |
$[2, 0]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.83132$ |
$(5), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$4.446757890$ |
1.283668432 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{13}) \) |
$2$ |
$[2, 0]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$1.90609$ |
$(5), (7)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$4.446757890$ |
1.233308737 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 175.1-a3 |
175.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{21}) \) |
$2$ |
$[2, 0]$ |
175.1 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$1.48939$ |
$(-a), (-a+1), (a+3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$1.352388612$ |
$4.446757890$ |
1.749742251 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 175.1-i3 |
175.1-i |
$3$ |
$9$ |
\(\Q(\sqrt{7}) \) |
$2$ |
$[2, 0]$ |
175.1 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$1.71980$ |
$(a), (5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$4.446757890$ |
1.680716502 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 245.1-a3 |
245.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{10}) \) |
$2$ |
$[2, 0]$ |
245.1 |
\( 5 \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$2.23594$ |
$(5,a), (7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$4.051572114$ |
$4.446757890$ |
3.798182240 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 1225.1-a3 |
1225.1-a |
$3$ |
$9$ |
\(\Q(\sqrt{53}) \) |
$2$ |
$[2, 0]$ |
1225.1 |
\( 5^{2} \cdot 7^{2} \) |
\( 5^{6} \cdot 7^{6} \) |
$3.84867$ |
$(-a-2), (-a+3), (5)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{3} \) |
$0.998860286$ |
$4.446757890$ |
3.660678146 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 175.1-f3 |
175.1-f |
$3$ |
$9$ |
\(\Q(\sqrt{14}) \) |
$2$ |
$[2, 0]$ |
175.1 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$2.43216$ |
$(-a+3), (-a-3), (-2a+7)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3 \) |
$2.939333652$ |
$4.446757890$ |
2.328826286 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 175.1-b3 |
175.1-b |
$3$ |
$9$ |
\(\Q(\sqrt{77}) \) |
$2$ |
$[2, 0]$ |
175.1 |
\( 5^{2} \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$2.85196$ |
$(a+3), (5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2 \cdot 3^{2} \) |
$1$ |
$4.446757890$ |
1.013510185 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 35.1-d3 |
35.1-d |
$3$ |
$9$ |
\(\Q(\sqrt{105}) \) |
$2$ |
$[2, 0]$ |
35.1 |
\( 5 \cdot 7 \) |
\( 5^{6} \cdot 7^{6} \) |
$2.22715$ |
$(2a-11), (7,a+3)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 2^{2} \cdot 3 \) |
$2.373982597$ |
$4.446757890$ |
2.747230492 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 875.1-a3 |
875.1-a |
$3$ |
$9$ |
\(\Q(\zeta_{7})^+\) |
$3$ |
$[3, 0]$ |
875.1 |
\( 5^{3} \cdot 7 \) |
\( - 5^{9} \cdot 7^{9} \) |
$1.93451$ |
$(-a^2-a+2), (5)$ |
0 |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$1$ |
\( 3^{2} \) |
$1$ |
$9.377028297$ |
1.339575471 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
| 245.1-a3 |
245.1-a |
$3$ |
$9$ |
4.4.6125.1 |
$4$ |
$[4, 0]$ |
245.1 |
\( 5 \cdot 7^{2} \) |
\( 5^{12} \cdot 7^{12} \) |
$13.91033$ |
$(3a^3+4a^2-17a-13), (-a^3-2a^2+5a+12)$ |
$1$ |
$\Z/3\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
✓ |
✓ |
✓ |
|
$3$ |
3Cs.1.1 |
$9$ |
\( 2^{2} \cdot 3 \) |
$0.277720001$ |
$19.77365574$ |
3.368079379 |
\( \frac{71991296}{42875} \) |
\( \bigl[0\) , \( 1\) , \( 1\) , \( 9\) , \( 1\bigr] \) |
${y}^2+{y}={x}^{3}+{x}^{2}+9{x}+1$ |
*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.
