| 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 |
| 3381.g2 |
3381a2 |
3381.g |
3381a |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 23 \) |
\( - 3 \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.662975$ |
$3584000000/444107667$ |
$1.15552$ |
$3.84614$ |
$[0, -1, 1, 117, -7120]$ |
\(y^2+y=x^3-x^2+117x-7120\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.2, 42.16.0-6.b.1.2 |
$[]$ |
| 3381.j2 |
3381i2 |
3381.j |
3381i |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 23 \) |
\( - 3 \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.635931$ |
$3584000000/444107667$ |
$1.15552$ |
$5.28295$ |
$[0, 1, 1, 5717, 2430628]$ |
\(y^2+y=x^3+x^2+5717x+2430628\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[]$ |
| 10143.g2 |
10143q2 |
10143.g |
10143q |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{7} \cdot 7^{2} \cdot 23^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$0.393733792$ |
$1$ |
|
$10$ |
$18432$ |
$1.212282$ |
$3584000000/444107667$ |
$1.15552$ |
$4.10266$ |
$[0, 0, 1, 1050, 191182]$ |
\(y^2+y=x^3+1050x+191182\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.1, 42.16.0-6.b.1.1 |
$[(193/2, 4757/2), (-38, 310)]$ |
| 10143.h2 |
10143j2 |
10143.h |
10143j |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{7} \cdot 7^{8} \cdot 23^{6} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$6.954045692$ |
$1$ |
|
$2$ |
$129024$ |
$2.185238$ |
$3584000000/444107667$ |
$1.15552$ |
$5.36835$ |
$[0, 0, 1, 51450, -65575512]$ |
\(y^2+y=x^3+51450x-65575512\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[(64458/13, 6782004/13)]$ |
| 54096.s2 |
54096be2 |
54096.s |
54096be |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$6.485163961$ |
$1$ |
|
$0$ |
$1161216$ |
$2.329079$ |
$3584000000/444107667$ |
$1.15552$ |
$4.70217$ |
$[0, -1, 0, 91467, -155468739]$ |
\(y^2=x^3-x^2+91467x-155468739\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2 |
$[(5380/3, 286327/3)]$ |
| 54096.cg2 |
54096dg2 |
54096.cg |
54096dg |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$2.317480967$ |
$1$ |
|
$0$ |
$165888$ |
$1.356123$ |
$3584000000/444107667$ |
$1.15552$ |
$3.63088$ |
$[0, 1, 0, 1867, 453795]$ |
\(y^2=x^3+x^2+1867x+453795\) |
3.4.0.a.1, 6.8.0.b.1, 84.16.0.? |
$[(-482/3, 12167/3)]$ |
| 77763.l2 |
77763c2 |
77763.l |
77763c |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 23^{2} \) |
\( - 3 \cdot 7^{2} \cdot 23^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$4.830610089$ |
$1$ |
|
$0$ |
$1216512$ |
$2.230724$ |
$3584000000/444107667$ |
$1.15552$ |
$4.44583$ |
$[0, -1, 1, 61717, 86131814]$ |
\(y^2+y=x^3-x^2+61717x+86131814\) |
3.4.0.a.1, 6.8.0.b.1, 483.8.0.?, 966.16.0.? |
$[(-1371/2, 39671/2)]$ |
| 77763.o2 |
77763v2 |
77763.o |
77763v |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 23^{2} \) |
\( - 3 \cdot 7^{8} \cdot 23^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$138$ |
$16$ |
$0$ |
$72.99824661$ |
$1$ |
|
$0$ |
$8515584$ |
$3.203678$ |
$3584000000/444107667$ |
$1.15552$ |
$5.48260$ |
$[0, 1, 1, 3024117, -29549260534]$ |
\(y^2+y=x^3+x^2+3024117x-29549260534\) |
3.4.0.a.1, 6.8.0.b.1, 69.8.0-3.a.1.1, 138.16.0.? |
$[(629527510626090928634382544450237/476993558624934, 304084860867435698717598671702616886351862169809/476993558624934)]$ |
| 84525.bp2 |
84525f2 |
84525.bp |
84525f |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3 \cdot 5^{6} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$2.440651$ |
$3584000000/444107667$ |
$1.15552$ |
$4.63521$ |
$[0, -1, 1, 142917, 303542693]$ |
\(y^2+y=x^3-x^2+142917x+303542693\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[]$ |
| 84525.cf2 |
84525cg2 |
84525.cf |
84525cg |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3 \cdot 5^{6} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.467695$ |
$3584000000/444107667$ |
$1.15552$ |
$3.60606$ |
$[0, 1, 1, 2917, -884131]$ |
\(y^2+y=x^3+x^2+2917x-884131\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[]$ |
| 162288.dy2 |
162288bt2 |
162288.dy |
162288bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1327104$ |
$1.905428$ |
$3584000000/444107667$ |
$1.15552$ |
$3.84783$ |
$[0, 0, 0, 16800, -12235664]$ |
\(y^2=x^3+16800x-12235664\) |
3.4.0.a.1, 6.8.0.b.1, 84.16.0.? |
$[]$ |
| 162288.eb2 |
162288by2 |
162288.eb |
162288by |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$11.51830565$ |
$1$ |
|
$2$ |
$9289728$ |
$2.878384$ |
$3584000000/444107667$ |
$1.15552$ |
$4.82102$ |
$[0, 0, 0, 823200, 4196832752]$ |
\(y^2=x^3+823200x+4196832752\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1 |
$[(395929, 249130629)]$ |
| 216384.br2 |
216384ia2 |
216384.br |
216384ia |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3 \cdot 7^{8} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.859646257$ |
$1$ |
|
$2$ |
$2322432$ |
$1.982504$ |
$3584000000/444107667$ |
$1.15552$ |
$3.83301$ |
$[0, -1, 0, 22867, 19422159]$ |
\(y^2=x^3-x^2+22867x+19422159\) |
3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.1 |
$[(490, 12167)]$ |
| 216384.cu2 |
216384du2 |
216384.cu |
216384du |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.009548$ |
$3584000000/444107667$ |
$1.15552$ |
$2.88261$ |
$[0, -1, 0, 467, 56491]$ |
\(y^2=x^3-x^2+467x+56491\) |
3.4.0.a.1, 6.8.0.b.1, 168.16.0.? |
$[]$ |
| 216384.gg2 |
216384fn2 |
216384.gg |
216384fn |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$10.89184859$ |
$1$ |
|
$0$ |
$331776$ |
$1.009548$ |
$3584000000/444107667$ |
$1.15552$ |
$2.88261$ |
$[0, 1, 0, 467, -56491]$ |
\(y^2=x^3+x^2+467x-56491\) |
3.4.0.a.1, 6.8.0.b.1, 168.16.0.? |
$[(5548444/125, 13103749497/125)]$ |
| 216384.hi2 |
216384bi2 |
216384.hi |
216384bi |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3 \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$1.982504$ |
$3584000000/444107667$ |
$1.15552$ |
$3.83301$ |
$[0, 1, 0, 22867, -19422159]$ |
\(y^2=x^3+x^2+22867x-19422159\) |
3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.4 |
$[]$ |
| 233289.bh2 |
233289bh2 |
233289.bh |
233289bh |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{7} \cdot 7^{2} \cdot 23^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$966$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9732096$ |
$2.780029$ |
$3584000000/444107667$ |
$1.15552$ |
$4.58397$ |
$[0, 0, 1, 555450, -2326114436]$ |
\(y^2+y=x^3+555450x-2326114436\) |
3.4.0.a.1, 6.8.0.b.1, 483.8.0.?, 966.16.0.? |
$[]$ |
| 233289.bi2 |
233289bi2 |
233289.bi |
233289bi |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{7} \cdot 7^{8} \cdot 23^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$138$ |
$16$ |
$0$ |
$41.81959879$ |
$1$ |
|
$0$ |
$68124672$ |
$3.752983$ |
$3584000000/444107667$ |
$1.15552$ |
$5.52859$ |
$[0, 0, 1, 27217050, 797857251462]$ |
\(y^2+y=x^3+27217050x+797857251462\) |
3.4.0.a.1, 6.8.0.b.1, 69.8.0-3.a.1.2, 138.16.0.? |
$[(33133268249666098726/6724047, 190725103593751554454136197706/6724047)]$ |
| 253575.ci2 |
253575ci2 |
253575.ci |
253575ci |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18579456$ |
$2.989956$ |
$3584000000/444107667$ |
$1.15552$ |
$4.75570$ |
$[0, 0, 1, 1286250, -8196938969]$ |
\(y^2+y=x^3+1286250x-8196938969\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[]$ |
| 253575.cj2 |
253575cj2 |
253575.cj |
253575cj |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$2.922266182$ |
$1$ |
|
$0$ |
$2654208$ |
$2.017002$ |
$3584000000/444107667$ |
$1.15552$ |
$3.81742$ |
$[0, 0, 1, 26250, 23897781]$ |
\(y^2+y=x^3+26250x+23897781\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[(7505/8, 2737319/8)]$ |
| 409101.y2 |
409101y2 |
409101.y |
409101y |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{2} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$3.427019348$ |
$1$ |
|
$2$ |
$2488320$ |
$1.861923$ |
$3584000000/444107667$ |
$1.15552$ |
$3.53210$ |
$[0, -1, 1, 14117, 9419871]$ |
\(y^2+y=x^3-x^2+14117x+9419871\) |
3.4.0.a.1, 6.8.0.b.1, 231.8.0.?, 462.16.0.? |
$[(-117, 2480)]$ |
| 409101.bd2 |
409101bd2 |
409101.bd |
409101bd |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 7^{8} \cdot 11^{6} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$27.29004628$ |
$1$ |
|
$0$ |
$17418240$ |
$2.834877$ |
$3584000000/444107667$ |
$1.15552$ |
$4.43565$ |
$[0, 1, 1, 691717, -3232399285]$ |
\(y^2+y=x^3+x^2+691717x-3232399285\) |
3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.1, 66.16.0-6.b.1.1 |
$[(7787839400373/6187, 21733520988843326386/6187)]$ |
