| 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 |
Manin constant |
| 15341.a1 |
15341b1 |
15341.a |
15341b |
$1$ |
$1$ |
\( 23^{2} \cdot 29 \) |
\( - 23^{9} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$19.64941248$ |
$1$ |
|
$0$ |
$1622880$ |
$3.006027$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$6.17564$ |
$[0, -1, 1, -5373758, -9740388623]$ |
\(y^2+y=x^3-x^2-5373758x-9740388623\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[(467366934133/11438, 193030989335430623/11438)]$ |
$1$ |
| 15341.b1 |
15341a1 |
15341.b |
15341a |
$1$ |
$1$ |
\( 23^{2} \cdot 29 \) |
\( - 23^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$1.844346865$ |
$1$ |
|
$0$ |
$70560$ |
$1.438282$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$4.22374$ |
$[0, -1, 1, -10158, 804091]$ |
\(y^2+y=x^3-x^2-10158x+804091\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[(101/2, 5999/2)]$ |
$1$ |
| 138069.a1 |
138069a1 |
138069.a |
138069a |
$1$ |
$1$ |
\( 3^{2} \cdot 23^{2} \cdot 29 \) |
\( - 3^{6} \cdot 23^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$3.729885141$ |
$1$ |
|
$2$ |
$1693440$ |
$1.987587$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$3.99656$ |
$[0, 0, 1, -91425, -21619040]$ |
\(y^2+y=x^3-91425x-21619040\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[(391, 1552)]$ |
$1$ |
| 138069.b1 |
138069b1 |
138069.b |
138069b |
$1$ |
$1$ |
\( 3^{2} \cdot 23^{2} \cdot 29 \) |
\( - 3^{6} \cdot 23^{9} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$15.69894942$ |
$1$ |
|
$0$ |
$38949120$ |
$3.555336$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$5.58610$ |
$[0, 0, 1, -48363825, 263038856638]$ |
\(y^2+y=x^3-48363825x+263038856638\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[(2174991964/19, 101434617525802/19)]$ |
$1$ |
| 245456.b1 |
245456b1 |
245456.b |
245456b |
$1$ |
$1$ |
\( 2^{4} \cdot 23^{2} \cdot 29 \) |
\( - 2^{12} \cdot 23^{9} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$64915200$ |
$3.699177$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$5.46620$ |
$[0, 1, 0, -85980133, 623470851987]$ |
\(y^2=x^3+x^2-85980133x+623470851987\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[ ]$ |
$1$ |
| 245456.c1 |
245456c1 |
245456.c |
245456c |
$1$ |
$1$ |
\( 2^{4} \cdot 23^{2} \cdot 29 \) |
\( - 2^{12} \cdot 23^{3} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$2822400$ |
$2.131428$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$3.95036$ |
$[0, 1, 0, -162533, -51299309]$ |
\(y^2=x^3+x^2-162533x-51299309\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[ ]$ |
$1$ |
| 383525.b1 |
383525b1 |
383525.b |
383525b |
$1$ |
$1$ |
\( 5^{2} \cdot 23^{2} \cdot 29 \) |
\( - 5^{6} \cdot 23^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$0.243404091$ |
$1$ |
|
$8$ |
$10160640$ |
$2.243000$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$3.91737$ |
$[0, 1, 1, -253958, 100003494]$ |
\(y^2+y=x^3+x^2-253958x+100003494\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[(523, 10512)]$ |
$1$ |
| 383525.c1 |
383525c1 |
383525.c |
383525c |
$1$ |
$1$ |
\( 5^{2} \cdot 23^{2} \cdot 29 \) |
\( - 5^{6} \cdot 23^{9} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$4.562749088$ |
$1$ |
|
$2$ |
$233694720$ |
$3.810749$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$5.38060$ |
$[0, 1, 1, -134343958, -1217817265756]$ |
\(y^2+y=x^3+x^2-134343958x-1217817265756\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[(51038, 11174787)]$ |
$1$ |
| 444889.a1 |
444889a1 |
444889.a |
444889a |
$1$ |
$1$ |
\( 23^{2} \cdot 29^{2} \) |
\( - 23^{3} \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$59270400$ |
$3.121929$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$4.68364$ |
$[0, 1, 1, -8543158, 19525550816]$ |
\(y^2+y=x^3+x^2-8543158x+19525550816\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[ ]$ |
$1$ |
| 444889.b1 |
444889b1 |
444889.b |
444889b |
$1$ |
$1$ |
\( 23^{2} \cdot 29^{2} \) |
\( - 23^{9} \cdot 29^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.21.0.1 |
7Nn |
$9338$ |
$84$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1363219200$ |
$4.689674$ |
$-9528128000000/17249876309$ |
$1.15602$ |
$6.13017$ |
$[0, 1, 1, -4519330758, -237603531426930]$ |
\(y^2+y=x^3+x^2-4519330758x-237603531426930\) |
7.21.0.a.1, 161.42.1.?, 406.42.1.?, 1334.2.0.?, 9338.84.5.? |
$[ ]$ |
$1$ |
