| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 574.a1 |
574d2 |
574.a |
574d |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{17} \cdot 7^{6} \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16320$ |
$2.103062$ |
$35864681248144538691049/43574618474283008$ |
$1.02376$ |
$8.17520$ |
$[1, 0, 1, -687039, 218902034]$ |
\(y^2+xy+y=x^3-687039x+218902034\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 574.a2 |
574d1 |
574.a |
574d |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( - 2^{34} \cdot 7^{3} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8160$ |
$1.756487$ |
$-3515753329334380009/9905620513718272$ |
$1.01254$ |
$7.00079$ |
$[1, 0, 1, -31679, 5254674]$ |
\(y^2+xy+y=x^3-31679x+5254674\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 574.b1 |
574a1 |
574.b |
574a |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2 \cdot 7 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2296$ |
$2$ |
$0$ |
$0.362740320$ |
$1$ |
|
$4$ |
$24$ |
$-0.767258$ |
$1771561/574$ |
$0.86502$ |
$2.26479$ |
$[1, 1, 0, -2, -2]$ |
\(y^2+xy=x^3+x^2-2x-2\) |
2296.2.0.? |
$[(-1, 1)]$ |
| 574.c1 |
574f2 |
574.c |
574f |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{15} \cdot 7^{3} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6888$ |
$16$ |
$0$ |
$0.783318403$ |
$1$ |
|
$4$ |
$360$ |
$0.635995$ |
$1407074115849193/460816384$ |
$0.95516$ |
$5.49069$ |
$[1, 0, 1, -2335, -43598]$ |
\(y^2+xy+y=x^3-2335x-43598\) |
3.8.0-3.a.1.1, 2296.2.0.?, 6888.16.0.? |
$[(-28, 17)]$ |
| 574.c2 |
574f1 |
574.c |
574f |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{5} \cdot 7 \cdot 41^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6888$ |
$16$ |
$0$ |
$2.349955209$ |
$1$ |
|
$4$ |
$120$ |
$0.086689$ |
$55611739513/15438304$ |
$0.89183$ |
$3.89471$ |
$[1, 0, 1, -80, 190]$ |
\(y^2+xy+y=x^3-80x+190\) |
3.8.0-3.a.1.2, 2296.2.0.?, 6888.16.0.? |
$[(-2, 19)]$ |
| 574.d1 |
574b2 |
574.d |
574b |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{5} \cdot 7^{8} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$328$ |
$12$ |
$0$ |
$1.996636512$ |
$1$ |
|
$2$ |
$960$ |
$0.914490$ |
$1212480836738137/310100175392$ |
$0.96202$ |
$5.46726$ |
$[1, 1, 0, -2221, 29181]$ |
\(y^2+xy=x^3+x^2-2221x+29181\) |
2.3.0.a.1, 8.6.0.b.1, 164.6.0.?, 328.12.0.? |
$[(39, 42)]$ |
| 574.d2 |
574b1 |
574.d |
574b |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{10} \cdot 7^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$328$ |
$12$ |
$0$ |
$0.998318256$ |
$1$ |
|
$5$ |
$480$ |
$0.567916$ |
$968917714969177/100803584$ |
$0.95305$ |
$5.43196$ |
$[1, 1, 0, -2061, 35165]$ |
\(y^2+xy=x^3+x^2-2061x+35165\) |
2.3.0.a.1, 8.6.0.c.1, 82.6.0.?, 328.12.0.? |
$[(17, 65)]$ |
| 574.e1 |
574c2 |
574.e |
574c |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{7} \cdot 7^{4} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$448$ |
$0.482179$ |
$42060685455433/516618368$ |
$0.93413$ |
$4.93813$ |
$[1, 1, 0, -724, -7728]$ |
\(y^2+xy=x^3+x^2-724x-7728\) |
2.3.0.a.1, 8.6.0.b.1, 164.6.0.?, 328.12.0.? |
$[]$ |
| 574.e2 |
574c1 |
574.e |
574c |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{14} \cdot 7^{2} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$328$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$224$ |
$0.135605$ |
$66775173193/32915456$ |
$0.91409$ |
$3.92351$ |
$[1, 1, 0, -84, 80]$ |
\(y^2+xy=x^3+x^2-84x+80\) |
2.3.0.a.1, 8.6.0.c.1, 82.6.0.?, 328.12.0.? |
$[]$ |
| 574.f1 |
574e1 |
574.f |
574e |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{3} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120$ |
$-0.380295$ |
$7177888089/2296$ |
$0.88301$ |
$3.57242$ |
$[1, -1, 0, -40, -88]$ |
\(y^2+xy=x^3-x^2-40x-88\) |
2296.2.0.? |
$[]$ |
| 574.g1 |
574i2 |
574.g |
574i |
$2$ |
$7$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{3} \cdot 7 \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$2296$ |
$96$ |
$2$ |
$7.471677371$ |
$1$ |
|
$0$ |
$24696$ |
$2.370739$ |
$98191033604529537629349729/10906239337336$ |
$1.06843$ |
$9.42113$ |
$[1, -1, 1, -9611313, -11466507927]$ |
\(y^2+xy+y=x^3-x^2-9611313x-11466507927\) |
7.48.0-7.a.2.2, 2296.96.2.? |
$[(-402671/15, 3021062/15)]$ |
| 574.g2 |
574i1 |
574.g |
574i |
$2$ |
$7$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{21} \cdot 7^{7} \cdot 41 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$2296$ |
$96$ |
$2$ |
$1.067382481$ |
$1$ |
|
$20$ |
$3528$ |
$1.397785$ |
$801581275315909089/70810888830976$ |
$1.01610$ |
$6.48950$ |
$[1, -1, 1, -19353, 958713]$ |
\(y^2+xy+y=x^3-x^2-19353x+958713\) |
7.48.0-7.a.1.2, 2296.96.2.? |
$[(61, 18)]$ |
| 574.h1 |
574g1 |
574.h |
574g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2296$ |
$2$ |
$0$ |
$0.084302341$ |
$1$ |
|
$10$ |
$88$ |
$-0.203268$ |
$1027243729/587776$ |
$0.92224$ |
$3.26639$ |
$[1, 1, 1, -21, -5]$ |
\(y^2+xy+y=x^3+x^2-21x-5\) |
2296.2.0.? |
$[(-1, 4)]$ |
| 574.i1 |
574j2 |
574.i |
574j |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2 \cdot 7 \cdot 41^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$11480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$600$ |
$0.982745$ |
$434969885624052241/1621986814$ |
$0.98348$ |
$6.39327$ |
$[1, 1, 1, -15785, -769911]$ |
\(y^2+xy+y=x^3+x^2-15785x-769911\) |
5.24.0-5.a.2.2, 2296.2.0.?, 11480.48.1.? |
$[]$ |
| 574.i2 |
574j1 |
574.i |
574j |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{5} \cdot 7^{5} \cdot 41 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$11480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$120$ |
$0.178026$ |
$592915705201/22050784$ |
$0.90336$ |
$4.26726$ |
$[1, 1, 1, -175, 789]$ |
\(y^2+xy+y=x^3+x^2-175x+789\) |
5.24.0-5.a.1.2, 2296.2.0.?, 11480.48.1.? |
$[]$ |
| 574.j1 |
574h2 |
574.j |
574h |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{3} \cdot 7^{2} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$2296$ |
$12$ |
$0$ |
$0.289471106$ |
$1$ |
|
$6$ |
$144$ |
$-0.152819$ |
$5461074081/658952$ |
$0.88444$ |
$3.52939$ |
$[1, -1, 1, -37, 85]$ |
\(y^2+xy+y=x^3-x^2-37x+85\) |
2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.? |
$[(1, 6)]$ |
| 574.j2 |
574h1 |
574.j |
574h |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 41 \) |
\( - 2^{6} \cdot 7 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$0.578942213$ |
$1$ |
|
$7$ |
$72$ |
$-0.499393$ |
$4019679/18368$ |
$0.89621$ |
$2.69773$ |
$[1, -1, 1, 3, 5]$ |
\(y^2+xy+y=x^3-x^2+3x+5\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[(1, 2)]$ |
