| 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 |
| 32760.q2 |
32760e2 |
32760.q |
32760e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.859821515$ |
$1$ |
|
$7$ |
$28672$ |
$0.869071$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.24959$ |
$[0, 0, 0, -783, -25118]$ |
\(y^2=x^3-783x-25118\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(51, 260)]$ |
| 32760.bm2 |
32760bb2 |
32760.bm |
32760bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.409924196$ |
$1$ |
|
$9$ |
$86016$ |
$1.418377$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.88359$ |
$[0, 0, 0, -7047, 678186]$ |
\(y^2=x^3-7047x+678186\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-23, 910)]$ |
| 65520.l2 |
65520b2 |
65520.l |
65520b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$0.688721389$ |
$1$ |
|
$21$ |
$57344$ |
$0.869071$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.04648$ |
$[0, 0, 0, -783, 25118]$ |
\(y^2=x^3-783x+25118\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(1, 156), (14, 130)]$ |
| 65520.da2 |
65520h2 |
65520.da |
65520h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$2.002694467$ |
$1$ |
|
$5$ |
$172032$ |
$1.418377$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.64086$ |
$[0, 0, 0, -7047, -678186]$ |
\(y^2=x^3-7047x-678186\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(205, 2548)]$ |
| 163800.r2 |
163800fd2 |
163800.r |
163800fd |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.397891814$ |
$1$ |
|
$5$ |
$2064384$ |
$2.223095$ |
$-7680778992/34987225$ |
$0.91113$ |
$4.16729$ |
$[0, 0, 0, -176175, 84773250]$ |
\(y^2=x^3-176175x+84773250\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-381, 9828)]$ |
| 163800.bt2 |
163800co2 |
163800.bt |
163800co |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$1.673790$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.61827$ |
$[0, 0, 0, -19575, -3139750]$ |
\(y^2=x^3-19575x-3139750\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 229320.y2 |
229320cp2 |
229320.y |
229320cp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.609841890$ |
$1$ |
|
$9$ |
$4128768$ |
$2.391331$ |
$-7680778992/34987225$ |
$0.91113$ |
$4.21725$ |
$[0, 0, 0, -345303, -232617798]$ |
\(y^2=x^3-345303x-232617798\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(2121, 92610)]$ |
| 229320.eh2 |
229320em2 |
229320.eh |
229320em |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.805911085$ |
$1$ |
|
$5$ |
$1376256$ |
$1.842026$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.68320$ |
$[0, 0, 0, -38367, 8615474]$ |
\(y^2=x^3-38367x+8615474\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(-97, 3380)]$ |
| 262080.bb2 |
262080bb2 |
262080.bb |
262080bb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$1.764950$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.56965$ |
$[0, 0, 0, -28188, -5425488]$ |
\(y^2=x^3-28188x-5425488\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 262080.ge2 |
262080ge2 |
262080.ge |
262080ge |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$1.764950$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.56965$ |
$[0, 0, 0, -28188, 5425488]$ |
\(y^2=x^3-28188x+5425488\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 262080.ji2 |
262080ji2 |
262080.ji |
262080ji |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.479954032$ |
$1$ |
|
$5$ |
$458752$ |
$1.215645$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.04132$ |
$[0, 0, 0, -3132, 200944]$ |
\(y^2=x^3-3132x+200944\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(8, 420)]$ |
| 262080.lc2 |
262080lc2 |
262080.lc |
262080lc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.751707498$ |
$1$ |
|
$3$ |
$458752$ |
$1.215645$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.04132$ |
$[0, 0, 0, -3132, -200944]$ |
\(y^2=x^3-3132x-200944\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(832, 23940)]$ |
| 327600.je2 |
327600je2 |
327600.je |
327600je |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$1.673790$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.42079$ |
$[0, 0, 0, -19575, 3139750]$ |
\(y^2=x^3-19575x+3139750\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 327600.lu2 |
327600lu2 |
327600.lu |
327600lu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.223095$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.93984$ |
$[0, 0, 0, -176175, -84773250]$ |
\(y^2=x^3-176175x-84773250\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 425880.bd2 |
425880bd2 |
425880.bd |
425880bd |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.416238829$ |
$1$ |
|
$3$ |
$14450688$ |
$2.700851$ |
$-7680778992/34987225$ |
$0.91113$ |
$4.30239$ |
$[0, 0, 0, -1190943, 1489974642]$ |
\(y^2=x^3-1190943x+1489974642\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(91, 37180)]$ |
| 425880.da2 |
425880da2 |
425880.da |
425880da |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.914892478$ |
$1$ |
|
$7$ |
$4816896$ |
$2.151546$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.79385$ |
$[0, 0, 0, -132327, -55184246]$ |
\(y^2=x^3-132327x-55184246\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(533, 5070)]$ |
| 458640.ep2 |
458640ep2 |
458640.ep |
458640ep |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8257536$ |
$2.391331$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.99301$ |
$[0, 0, 0, -345303, 232617798]$ |
\(y^2=x^3-345303x+232617798\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[]$ |
| 458640.jj2 |
458640jj2 |
458640.jj |
458640jj |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.724182233$ |
$1$ |
|
$3$ |
$2752512$ |
$1.842026$ |
$-7680778992/34987225$ |
$0.91113$ |
$3.48736$ |
$[0, 0, 0, -38367, -8615474]$ |
\(y^2=x^3-38367x-8615474\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(14462, 1739010)]$ |
