| Label |
Class |
Conductor |
Discriminant |
Rank* |
2-Selmer rank |
Torsion |
$\textrm{End}^0(J_{\overline\Q})$ |
$\textrm{End}^0(J)$ |
$\GL_2\textsf{-type}$ |
Sato-Tate |
Nonmaximal primes |
$\Q$-simple |
\(\overline{\Q}\)-simple |
\(\Aut(X)\) |
\(\Aut(X_{\overline{\Q}})\) |
$\Q$-points |
$\Q$-Weierstrass points |
mod-$\ell$ images |
Locally solvable |
Square Ш* |
Analytic Ш* |
Tamagawa |
Regulator |
Real period |
Leading coefficient |
Igusa-Clebsch invariants |
Igusa invariants |
G2-invariants |
Equation |
| 476.a.952.1 |
476.a |
\( 2^{2} \cdot 7 \cdot 17 \) |
\( - 2^{3} \cdot 7 \cdot 17 \) |
$0$ |
$1$ |
$\Z/3\Z\oplus\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.1, 3.5760.3 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(26.722339\) |
\(0.247429\) |
$[7340,1042345,2905273355,121856]$ |
$[1835,96870,-3910340,-4139817700,952]$ |
$[\frac{20805604708146875}{952},\frac{299272981175625}{476},-\frac{27661753375}{2}]$ |
$y^2 + (x^3 + 1)y = -5x^4 + 7x^3 + 25x^2 - 75x + 54$ |
| 2700.a.81000.1 |
2700.a |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{3} \) |
$0$ |
$1$ |
$\Z/3\Z\oplus\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.1, 3.5760.3 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3^{2} \) |
\(1.000000\) |
\(13.310902\) |
\(0.739495\) |
$[71148,84879081,2273663276523,10368000]$ |
$[17787,9645762,-1078366500,-28055407374036,81000]$ |
$[\frac{21980041417758601947}{1000},\frac{335065445635338803}{500},-\frac{8423969286117}{2}]$ |
$y^2 + (x^3 + 1)y = 5x^5 + 26x^4 + 12x^3 + 26x^2 + 5x$ |
| 2700.b.324000.1 |
2700.b |
\( 2^{2} \cdot 3^{3} \cdot 5^{2} \) |
\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \) |
$0$ |
$1$ |
$\Z/3\Z\oplus\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.1, 3.5760.3 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3^{2} \) |
\(1.000000\) |
\(8.245576\) |
\(0.458088\) |
$[3612,34209,40180527,41472000]$ |
$[903,32550,1503900,74629800,324000]$ |
$[\frac{7412312704503}{4000},\frac{5917785517}{80},\frac{151394271}{40}]$ |
$y^2 + (x^2 + x)y = x^6 + x^5 + 4x^4 + 2x^3 + 4x^2 + x + 1$ |
| 3024.b.145152.1 |
3024.b |
\( 2^{4} \cdot 3^{3} \cdot 7 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7 \) |
$0$ |
$1$ |
$\Z/3\Z\oplus\Z/6\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.1, 3.5760.3 |
✓ |
✓ |
$1$ |
\( 3^{3} \) |
\(1.000000\) |
\(9.213670\) |
\(0.767806\) |
$[330,180,17190,567]$ |
$[660,17670,631260,26100675,145152]$ |
$[\frac{6039412500}{7},\frac{489974375}{14},\frac{7577625}{4}]$ |
$y^2 = x^6 - 2x^5 + 5x^4 - 5x^3 + 5x^2 - 2x + 1$ |
| 4400.b.352000.1 |
4400.b |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{3} \cdot 11 \) |
$1$ |
$2$ |
$\Z/3\Z\oplus\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$10$ |
$0$ |
2.90.1, 3.5760.3 |
✓ |
✓ |
$1$ |
\( 3^{3} \) |
\(0.365679\) |
\(17.627207\) |
\(0.537158\) |
$[154,1876,128326,1375]$ |
$[308,-1050,-416900,-32376925,352000]$ |
$[\frac{984285148}{125},-\frac{871563}{10},-\frac{2247091}{20}]$ |
$y^2 = x^6 - 2x^4 - 3x^3 + x^2 + 3x + 1$ |
