| 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 |
| 5577.c1 |
5577b1 |
5577.c |
5577b |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.638888859$ |
$1$ |
|
$4$ |
$2352$ |
$0.505792$ |
$-2830523957248/264627$ |
$1.07225$ |
$3.91838$ |
$[0, -1, 1, -1629, 25859]$ |
\(y^2+y=x^3-x^2-1629x+25859\) |
6.2.0.a.1 |
$[(23, 5)]$ |
| 5577.d1 |
5577e1 |
5577.d |
5577e |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30576$ |
$1.788267$ |
$-2830523957248/264627$ |
$1.07225$ |
$5.70240$ |
$[0, -1, 1, -275357, 55711424]$ |
\(y^2+y=x^3-x^2-275357x+55711424\) |
6.2.0.a.1 |
$[]$ |
| 16731.f1 |
16731g1 |
16731.f |
16731g |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{13} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$244608$ |
$2.337574$ |
$-2830523957248/264627$ |
$1.07225$ |
$5.73602$ |
$[0, 0, 1, -2478216, -1501730240]$ |
\(y^2+y=x^3-2478216x-1501730240\) |
6.2.0.a.1 |
$[]$ |
| 16731.j1 |
16731i1 |
16731.j |
16731i |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{13} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.038925034$ |
$1$ |
|
$2$ |
$18816$ |
$1.055098$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.15354$ |
$[0, 0, 1, -14664, -683537]$ |
\(y^2+y=x^3-14664x-683537\) |
6.2.0.a.1 |
$[(1351, 49450)]$ |
| 61347.l1 |
61347f1 |
61347.l |
61347f |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$282240$ |
$1.704739$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.37115$ |
$[0, -1, 1, -197149, -33630114]$ |
\(y^2+y=x^3-x^2-197149x-33630114\) |
6.2.0.a.1 |
$[]$ |
| 61347.r1 |
61347b1 |
61347.r |
61347b |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 11^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3669120$ |
$2.987213$ |
$-2830523957248/264627$ |
$1.07225$ |
$5.76713$ |
$[0, -1, 1, -33318237, -74018632777]$ |
\(y^2+y=x^3-x^2-33318237x-74018632777\) |
6.2.0.a.1 |
$[]$ |
| 89232.bl1 |
89232cr1 |
89232.bl |
89232cr |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$169344$ |
$1.198938$ |
$-2830523957248/264627$ |
$1.07225$ |
$3.69500$ |
$[0, 1, 0, -26069, -1628925]$ |
\(y^2=x^3+x^2-26069x-1628925\) |
6.2.0.a.1 |
$[]$ |
| 89232.cr1 |
89232by1 |
89232.cr |
89232by |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$15.23358237$ |
$1$ |
|
$0$ |
$2201472$ |
$2.481415$ |
$-2830523957248/264627$ |
$1.07225$ |
$5.04509$ |
$[0, 1, 0, -4405717, -3561125437]$ |
\(y^2=x^3+x^2-4405717x-3561125437\) |
6.2.0.a.1 |
$[(88109561/40, 826453005741/40)]$ |
| 139425.x1 |
139425v1 |
139425.x |
139425v |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.465582499$ |
$1$ |
|
$14$ |
$301056$ |
$1.310511$ |
$-2830523957248/264627$ |
$1.07225$ |
$3.66882$ |
$[0, 1, 1, -40733, 3150944]$ |
\(y^2+y=x^3+x^2-40733x+3150944\) |
6.2.0.a.1 |
$[(124, 148), (118, 37)]$ |
| 139425.bh1 |
139425ba1 |
139425.bh |
139425ba |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{6} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.442240123$ |
$1$ |
|
$4$ |
$3913728$ |
$2.592987$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.96804$ |
$[0, 1, 1, -6883933, 6950160169]$ |
\(y^2+y=x^3+x^2-6883933x+6950160169\) |
6.2.0.a.1 |
$[(563, 57037)]$ |
| 184041.s1 |
184041q1 |
184041.s |
184041q |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{13} \cdot 11^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.247984579$ |
$1$ |
|
$4$ |
$29352960$ |
$3.536522$ |
$-2830523957248/264627$ |
$1.07225$ |
$5.78824$ |
$[0, 0, 1, -299864136, 1998802949107]$ |
\(y^2+y=x^3-299864136x+1998802949107\) |
6.2.0.a.1 |
$[(9955, 14701)]$ |
| 184041.bg1 |
184041w1 |
184041.bg |
184041w |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{13} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.310850193$ |
$1$ |
|
$4$ |
$2257920$ |
$2.254047$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.51876$ |
$[0, 0, 1, -1774344, 909787414]$ |
\(y^2+y=x^3-1774344x+909787414\) |
6.2.0.a.1 |
$[(-1496, 14701)]$ |
| 267696.bl1 |
267696bl1 |
267696.bl |
267696bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17611776$ |
$3.030720$ |
$-2830523957248/264627$ |
$1.07225$ |
$5.12904$ |
$[0, 0, 0, -39651456, 96110735344]$ |
\(y^2=x^3-39651456x+96110735344\) |
6.2.0.a.1 |
$[]$ |
| 267696.ev1 |
267696ev1 |
267696.ev |
267696ev |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.166134563$ |
$1$ |
|
$0$ |
$1354752$ |
$1.748245$ |
$-2830523957248/264627$ |
$1.07225$ |
$3.89762$ |
$[0, 0, 0, -234624, 43746352]$ |
\(y^2=x^3-234624x+43746352\) |
6.2.0.a.1 |
$[(1121/2, 495/2)]$ |
| 273273.bc1 |
273273bc1 |
273273.bc |
273273bc |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 7^{6} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10090080$ |
$2.761223$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.86225$ |
$[0, 1, 1, -13492509, -19082033512]$ |
\(y^2+y=x^3+x^2-13492509x-19082033512\) |
6.2.0.a.1 |
$[]$ |
| 273273.bg1 |
273273bg1 |
273273.bg |
273273bg |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.629455083$ |
$1$ |
|
$2$ |
$776160$ |
$1.478746$ |
$-2830523957248/264627$ |
$1.07225$ |
$3.63286$ |
$[0, 1, 1, -79837, -8710061]$ |
\(y^2+y=x^3+x^2-79837x-8710061\) |
6.2.0.a.1 |
$[(1469, 55192)]$ |
| 356928.be1 |
356928be1 |
356928.be |
356928be |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$15.58436292$ |
$1$ |
|
$0$ |
$4402944$ |
$2.134838$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.17277$ |
$[0, -1, 0, -1101429, -444589965]$ |
\(y^2=x^3-x^2-1101429x-444589965\) |
6.2.0.a.1 |
$[(170088502/123, 2208125943127/123)]$ |
| 356928.de1 |
356928de1 |
356928.de |
356928de |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$338688$ |
$0.852365$ |
$-2830523957248/264627$ |
$1.07225$ |
$2.96907$ |
$[0, -1, 0, -6517, -200357]$ |
\(y^2=x^3-x^2-6517x-200357\) |
6.2.0.a.1 |
$[]$ |
| 356928.eu1 |
356928eu1 |
356928.eu |
356928eu |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{2} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.908277585$ |
$1$ |
|
$8$ |
$4402944$ |
$2.134838$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.17277$ |
$[0, 1, 0, -1101429, 444589965]$ |
\(y^2=x^3+x^2-1101429x+444589965\) |
6.2.0.a.1 |
$[(732, 5577), (17289/4, 1455597/4)]$ |
| 356928.hs1 |
356928hs1 |
356928.hs |
356928hs |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.807309305$ |
$1$ |
|
$4$ |
$338688$ |
$0.852365$ |
$-2830523957248/264627$ |
$1.07225$ |
$2.96907$ |
$[0, 1, 0, -6517, 200357]$ |
\(y^2=x^3+x^2-6517x+200357\) |
6.2.0.a.1 |
$[(44, 27)]$ |
| 418275.bc1 |
418275bc1 |
418275.bc |
418275bc |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{13} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.550064039$ |
$1$ |
|
$2$ |
$2408448$ |
$1.859818$ |
$-2830523957248/264627$ |
$1.07225$ |
$3.86668$ |
$[0, 0, 1, -366600, -85442094]$ |
\(y^2+y=x^3-366600x-85442094\) |
6.2.0.a.1 |
$[(1070, 27337)]$ |
| 418275.bx1 |
418275bx1 |
418275.bx |
418275bx |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{13} \cdot 5^{6} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$31309824$ |
$3.142292$ |
$-2830523957248/264627$ |
$1.07225$ |
$5.05563$ |
$[0, 0, 1, -61955400, -187716279969]$ |
\(y^2+y=x^3-61955400x-187716279969\) |
6.2.0.a.1 |
$[]$ |
