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 |
3036.d1 |
3036d2 |
3036.d |
3036d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$0.578096874$ |
$1$ |
|
$7$ |
$1152$ |
$0.361419$ |
$5142706000/1728243$ |
$0.84381$ |
$3.48029$ |
$[0, -1, 0, -228, 936]$ |
\(y^2=x^3-x^2-228x+936\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(2, 22)]$ |
9108.i1 |
9108k2 |
9108.i |
9108k |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.910725$ |
$5142706000/1728243$ |
$0.84381$ |
$3.78392$ |
$[0, 0, 0, -2055, -23218]$ |
\(y^2=x^3-2055x-23218\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[]$ |
12144.bj1 |
12144be2 |
12144.bj |
12144be |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.361419$ |
$5142706000/1728243$ |
$0.84381$ |
$2.96728$ |
$[0, 1, 0, -228, -936]$ |
\(y^2=x^3+x^2-228x-936\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[]$ |
33396.h1 |
33396c2 |
33396.h |
33396c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$6.759979347$ |
$1$ |
|
$1$ |
$138240$ |
$1.560366$ |
$5142706000/1728243$ |
$0.84381$ |
$4.06035$ |
$[0, -1, 0, -27628, -1135352]$ |
\(y^2=x^3-x^2-27628x-1135352\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(38329/9, 6974198/9)]$ |
36432.bk1 |
36432bx2 |
36432.bk |
36432bx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.910725$ |
$5142706000/1728243$ |
$0.84381$ |
$3.28449$ |
$[0, 0, 0, -2055, 23218]$ |
\(y^2=x^3-2055x+23218\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[]$ |
48576.v1 |
48576ct2 |
48576.v |
48576ct |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{3} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.707993$ |
$5142706000/1728243$ |
$0.84381$ |
$2.97148$ |
$[0, -1, 0, -913, -6575]$ |
\(y^2=x^3-x^2-913x-6575\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[]$ |
48576.cs1 |
48576x2 |
48576.cs |
48576x |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{3} \cdot 11^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$0.766108156$ |
$1$ |
|
$19$ |
$36864$ |
$0.707993$ |
$5142706000/1728243$ |
$0.84381$ |
$2.97148$ |
$[0, 1, 0, -913, 6575]$ |
\(y^2=x^3+x^2-913x+6575\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(71, 552), (2, 69)]$ |
69828.l1 |
69828c2 |
69828.l |
69828c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$4.427647729$ |
$1$ |
|
$1$ |
$608256$ |
$1.929165$ |
$5142706000/1728243$ |
$0.84381$ |
$4.18862$ |
$[0, -1, 0, -120788, -10422456]$ |
\(y^2=x^3-x^2-120788x-10422456\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-7934/7, 756470/7)]$ |
75900.bi1 |
75900be2 |
75900.bi |
75900be |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$2.280930205$ |
$1$ |
|
$3$ |
$165888$ |
$1.166138$ |
$5142706000/1728243$ |
$0.84381$ |
$3.34271$ |
$[0, 1, 0, -5708, 105588]$ |
\(y^2=x^3+x^2-5708x+105588\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(19, 66)]$ |
100188.q1 |
100188bb2 |
100188.q |
100188bb |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$2.234872543$ |
$1$ |
|
$3$ |
$1105920$ |
$2.109673$ |
$5142706000/1728243$ |
$0.84381$ |
$4.24541$ |
$[0, 0, 0, -248655, 30903158]$ |
\(y^2=x^3-248655x+30903158\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-473, 6534)]$ |
133584.cz1 |
133584t2 |
133584.cz |
133584t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$2.147790697$ |
$1$ |
|
$5$ |
$552960$ |
$1.560366$ |
$5142706000/1728243$ |
$0.84381$ |
$3.58343$ |
$[0, 1, 0, -27628, 1135352]$ |
\(y^2=x^3+x^2-27628x+1135352\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-37, 1452)]$ |
145728.dq1 |
145728fh2 |
145728.dq |
145728fh |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{9} \cdot 11^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1.331529610$ |
$1$ |
|
$19$ |
$294912$ |
$1.257298$ |
$5142706000/1728243$ |
$0.84381$ |
$3.25132$ |
$[0, 0, 0, -8220, -185744]$ |
\(y^2=x^3-8220x-185744\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-70, 216), (-43, 297)]$ |
145728.ej1 |
145728bt2 |
145728.ej |
145728bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{9} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$3.105982336$ |
$1$ |
|
$3$ |
$294912$ |
$1.257298$ |
$5142706000/1728243$ |
$0.84381$ |
$3.25132$ |
$[0, 0, 0, -8220, 185744]$ |
\(y^2=x^3-8220x+185744\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-100, 88)]$ |
148764.ba1 |
148764g2 |
148764.ba |
148764g |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$0.972817603$ |
$1$ |
|
$7$ |
$331776$ |
$1.334373$ |
$5142706000/1728243$ |
$0.84381$ |
$3.32335$ |
$[0, 1, 0, -11188, -298684]$ |
\(y^2=x^3+x^2-11188x-298684\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-40, 294)]$ |
209484.bc1 |
209484t2 |
209484.bc |
209484t |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$13.88417824$ |
$1$ |
|
$1$ |
$4866048$ |
$2.478474$ |
$5142706000/1728243$ |
$0.84381$ |
$4.35104$ |
$[0, 0, 0, -1087095, 282493406]$ |
\(y^2=x^3-1087095x+282493406\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(1621150/103, 11967418782/103)]$ |
227700.ch1 |
227700by2 |
227700.ch |
227700by |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$0.973257036$ |
$1$ |
|
$7$ |
$1327104$ |
$1.715445$ |
$5142706000/1728243$ |
$0.84381$ |
$3.57937$ |
$[0, 0, 0, -51375, -2902250]$ |
\(y^2=x^3-51375x-2902250\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-121, 1242)]$ |
279312.ct1 |
279312ct2 |
279312.ct |
279312ct |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$4.853796674$ |
$1$ |
|
$3$ |
$2433024$ |
$1.929165$ |
$5142706000/1728243$ |
$0.84381$ |
$3.72557$ |
$[0, 1, 0, -120788, 10422456]$ |
\(y^2=x^3+x^2-120788x+10422456\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-105, 4686)]$ |
303600.f1 |
303600f2 |
303600.f |
303600f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$1.166138$ |
$5142706000/1728243$ |
$0.84381$ |
$2.97562$ |
$[0, -1, 0, -5708, -105588]$ |
\(y^2=x^3-x^2-5708x-105588\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[]$ |
400752.cm1 |
400752cm2 |
400752.cm |
400752cm |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{8} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$7.140831055$ |
$1$ |
|
$7$ |
$4423680$ |
$2.109673$ |
$5142706000/1728243$ |
$0.84381$ |
$3.78922$ |
$[0, 0, 0, -248655, -30903158]$ |
\(y^2=x^3-248655x-30903158\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-142, 1242), (594, 5566)]$ |
446292.bh1 |
446292bh2 |
446292.bh |
446292bh |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{6} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$2.355737917$ |
$1$ |
|
$3$ |
$2654208$ |
$1.883680$ |
$5142706000/1728243$ |
$0.84381$ |
$3.54940$ |
$[0, 0, 0, -100695, 7963774]$ |
\(y^2=x^3-100695x+7963774\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-322, 2646)]$ |