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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
20230.a1 |
20230c2 |
20230.a |
20230c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5 \cdot 7^{6} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$5.285151733$ |
$1$ |
|
$0$ |
$456192$ |
$2.141846$ |
$-19085751483878521/80001320$ |
$[1, 1, 0, -1609013, -786248267]$ |
\(y^2+xy=x^3+x^2-1609013x-786248267\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(50421/4, 10109239/4)]$ |
20230.a2 |
20230c1 |
20230.a |
20230c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2 \cdot 5^{3} \cdot 7^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1.761717244$ |
$1$ |
|
$4$ |
$152064$ |
$1.592541$ |
$-8502154921/60184250$ |
$[1, 1, 0, -12288, -1912382]$ |
\(y^2+xy=x^3+x^2-12288x-1912382\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(171, 926)]$ |
20230.b1 |
20230b2 |
20230.b |
20230b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 5^{2} \cdot 7^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1.949058842$ |
$1$ |
|
$2$ |
$186624$ |
$1.931028$ |
$498146195040339241/264461398835200$ |
$[1, 1, 0, -109188, 3946192]$ |
\(y^2+xy=x^3+x^2-109188x+3946192\) |
3.4.0.a.1, 28.2.0.a.1, 51.8.0-3.a.1.1, 84.8.0.?, 1428.16.0.? |
$[(-24, 2572)]$ |
20230.b2 |
20230b1 |
20230.b |
20230b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$0.649686280$ |
$1$ |
|
$4$ |
$62208$ |
$1.381721$ |
$241820454028845241/343000000$ |
$[1, 1, 0, -85813, 9639917]$ |
\(y^2+xy=x^3+x^2-85813x+9639917\) |
3.4.0.a.1, 28.2.0.a.1, 51.8.0-3.a.1.2, 84.8.0.?, 1428.16.0.? |
$[(146, 427)]$ |
20230.c1 |
20230e1 |
20230.c |
20230e |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 7^{5} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.204276901$ |
$1$ |
|
$20$ |
$23040$ |
$0.783506$ |
$1505139743881/168070000$ |
$[1, 1, 0, -1578, 21028]$ |
\(y^2+xy=x^3+x^2-1578x+21028\) |
28.2.0.a.1 |
$[(9, 83), (184, 2358)]$ |
20230.d1 |
20230d1 |
20230.d |
20230d |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{7} \cdot 5^{5} \cdot 7^{6} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$2.380314$ |
$15773593568039/800013200000$ |
$[1, 1, 0, 150997, -210151043]$ |
\(y^2+xy=x^3+x^2+150997x-210151043\) |
680.2.0.? |
$[]$ |
20230.e1 |
20230h2 |
20230.e |
20230h |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 7 \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$528768$ |
$2.529598$ |
$1688258640889/7000000$ |
$[1, 1, 0, -3133777, -2128900651]$ |
\(y^2+xy=x^3+x^2-3133777x-2128900651\) |
3.4.0.a.1, 28.2.0.a.1, 51.8.0-3.a.1.1, 84.8.0.?, 1428.16.0.? |
$[]$ |
20230.e2 |
20230h1 |
20230.e |
20230h |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{2} \cdot 5^{2} \cdot 7^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$176256$ |
$1.980291$ |
$511981129/34300$ |
$[1, 1, 0, -210542, 34877896]$ |
\(y^2+xy=x^3+x^2-210542x+34877896\) |
3.4.0.a.1, 28.2.0.a.1, 51.8.0-3.a.1.2, 84.8.0.?, 1428.16.0.? |
$[]$ |
20230.f1 |
20230a2 |
20230.f |
20230a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{9} \cdot 5 \cdot 7^{10} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$42.71860531$ |
$1$ |
|
$0$ |
$2741760$ |
$3.273136$ |
$260369943483538377/723136637440$ |
$[1, -1, 0, -65358560, -202872040960]$ |
\(y^2+xy=x^3-x^2-65358560x-202872040960\) |
2.3.0.a.1, 280.6.0.?, 476.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(3357291962627133877/6724353, 6102110499223262884866799636/6724353)]$ |
20230.f2 |
20230a1 |
20230.f |
20230a |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{18} \cdot 5^{2} \cdot 7^{5} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$21.35930265$ |
$1$ |
|
$1$ |
$1370880$ |
$2.926563$ |
$-14090073029577/110146355200$ |
$[1, -1, 0, -2472160, -5698022400]$ |
\(y^2+xy=x^3-x^2-2472160x-5698022400\) |
2.3.0.a.1, 238.6.0.?, 280.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(27770825408/3391, 1868525451465824/3391)]$ |
20230.g1 |
20230g2 |
20230.g |
20230g |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$2.281887$ |
$7876916680687209/27200448800$ |
$[1, -1, 0, -1197959, -502866787]$ |
\(y^2+xy=x^3-x^2-1197959x-502866787\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[]$ |
20230.g2 |
20230g1 |
20230.g |
20230g |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{4} \cdot 7^{3} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.935312$ |
$-338463151209/3731840000$ |
$[1, -1, 0, -41959, -14803587]$ |
\(y^2+xy=x^3-x^2-41959x-14803587\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[]$ |
20230.h1 |
20230j2 |
20230.h |
20230j |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{9} \cdot 5 \cdot 7^{10} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$3.797466733$ |
$1$ |
|
$2$ |
$161280$ |
$1.856529$ |
$260369943483538377/723136637440$ |
$[1, -1, 0, -226154, -41239692]$ |
\(y^2+xy=x^3-x^2-226154x-41239692\) |
2.3.0.a.1, 280.6.0.?, 476.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(729, 13086)]$ |
20230.h2 |
20230j1 |
20230.h |
20230j |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{18} \cdot 5^{2} \cdot 7^{5} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$1.898733366$ |
$1$ |
|
$5$ |
$80640$ |
$1.509956$ |
$-14090073029577/110146355200$ |
$[1, -1, 0, -8554, -1157772]$ |
\(y^2+xy=x^3-x^2-8554x-1157772\) |
2.3.0.a.1, 238.6.0.?, 280.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(217, 2569)]$ |
20230.i1 |
20230f2 |
20230.i |
20230f |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 7 \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$84$ |
$16$ |
$0$ |
$2.229484355$ |
$1$ |
|
$0$ |
$31104$ |
$1.112989$ |
$1688258640889/7000000$ |
$[1, 0, 1, -10844, -433958]$ |
\(y^2+xy+y=x^3-10844x-433958\) |
3.8.0-3.a.1.1, 28.2.0.a.1, 84.16.0.? |
$[(-551/3, 1813/3)]$ |
20230.i2 |
20230f1 |
20230.i |
20230f |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{2} \cdot 5^{2} \cdot 7^{3} \cdot 17^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$84$ |
$16$ |
$0$ |
$0.743161451$ |
$1$ |
|
$8$ |
$10368$ |
$0.563684$ |
$511981129/34300$ |
$[1, 0, 1, -729, 7056]$ |
\(y^2+xy+y=x^3-729x+7056\) |
3.8.0-3.a.1.2, 28.2.0.a.1, 84.16.0.? |
$[(3, 68)]$ |
20230.j1 |
20230i1 |
20230.j |
20230i |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{4} \cdot 7^{5} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.671289444$ |
$1$ |
|
$4$ |
$391680$ |
$2.200115$ |
$1505139743881/168070000$ |
$[1, 0, 1, -456193, 106503556]$ |
\(y^2+xy+y=x^3-456193x+106503556\) |
28.2.0.a.1 |
$[(-265, 14582)]$ |
20230.k1 |
20230k2 |
20230.k |
20230k |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 5^{2} \cdot 7^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3172608$ |
$3.347633$ |
$498146195040339241/264461398835200$ |
$[1, 0, 1, -31555483, 19608529318]$ |
\(y^2+xy+y=x^3-31555483x+19608529318\) |
3.8.0-3.a.1.1, 28.2.0.a.1, 84.16.0.? |
$[]$ |
20230.k2 |
20230k1 |
20230.k |
20230k |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1057536$ |
$2.798328$ |
$241820454028845241/343000000$ |
$[1, 0, 1, -24800108, 47534512618]$ |
\(y^2+xy+y=x^3-24800108x+47534512618\) |
3.8.0-3.a.1.2, 28.2.0.a.1, 84.16.0.? |
$[]$ |
20230.l1 |
20230p1 |
20230.l |
20230p |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$0.133241086$ |
$1$ |
|
$17$ |
$46080$ |
$1.059645$ |
$27306250652897/31360000$ |
$[1, 0, 0, -10665, 422617]$ |
\(y^2+xy=x^3-10665x+422617\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[(54, 43)]$ |
20230.l2 |
20230p2 |
20230.l |
20230p |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$0.266482172$ |
$1$ |
|
$12$ |
$92160$ |
$1.406218$ |
$-11289171456737/30012500000$ |
$[1, 0, 0, -7945, 644025]$ |
\(y^2+xy=x^3-7945x+644025\) |
2.3.0.a.1, 8.6.0.e.1, 68.6.0.c.1, 136.12.0.? |
$[(-10, 855)]$ |
20230.m1 |
20230m1 |
20230.m |
20230m |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 5 \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.081353624$ |
$1$ |
|
$10$ |
$175104$ |
$1.924854$ |
$17997704835884047/15112079933440$ |
$[1, 1, 1, 92814, 7347199]$ |
\(y^2+xy+y=x^3+x^2+92814x+7347199\) |
680.2.0.? |
$[(2041, 92275)]$ |
20230.n1 |
20230r3 |
20230.n |
20230r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$81920$ |
$1.455595$ |
$2121328796049/120050$ |
$[1, -1, 1, -77362, -8262289]$ |
\(y^2+xy+y=x^3-x^2-77362x-8262289\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
20230.n2 |
20230r4 |
20230.n |
20230r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 5^{8} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$81920$ |
$1.455595$ |
$74565301329/5468750$ |
$[1, -1, 1, -25342, 1457359]$ |
\(y^2+xy+y=x^3-x^2-25342x+1457359\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 136.24.0.?, $\ldots$ |
$[]$ |
20230.n3 |
20230r2 |
20230.n |
20230r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{2} \cdot 5^{4} \cdot 7^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$40960$ |
$1.109020$ |
$611960049/122500$ |
$[1, -1, 1, -5112, -112489]$ |
\(y^2+xy+y=x^3-x^2-5112x-112489\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[]$ |
20230.n4 |
20230r1 |
20230.n |
20230r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20480$ |
$0.762447$ |
$1367631/2800$ |
$[1, -1, 1, 668, -10761]$ |
\(y^2+xy+y=x^3-x^2+668x-10761\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
20230.o1 |
20230q4 |
20230.o |
20230q |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{7} \cdot 5^{8} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3096576$ |
$3.321804$ |
$291306206119284545407569/101150000000$ |
$[1, -1, 1, -399122782, 3069177526381]$ |
\(y^2+xy+y=x^3-x^2-399122782x+3069177526381\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 136.24.0.?, $\ldots$ |
$[]$ |
20230.o2 |
20230q3 |
20230.o |
20230q |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{7} \cdot 5^{2} \cdot 7^{4} \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3096576$ |
$3.321804$ |
$118495863754334673489/53596139570691200$ |
$[1, -1, 1, -29572702, 28936146029]$ |
\(y^2+xy+y=x^3-x^2-29572702x+28936146029\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
20230.o3 |
20230q2 |
20230.o |
20230q |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1548288$ |
$2.975231$ |
$71149857462630609489/41907496960000$ |
$[1, -1, 1, -24948702, 47946334829]$ |
\(y^2+xy+y=x^3-x^2-24948702x+47946334829\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[]$ |
20230.o4 |
20230q1 |
20230.o |
20230q |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{2} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$774144$ |
$2.628654$ |
$-9470133471933009/13576123187200$ |
$[1, -1, 1, -1273822, 1032192621]$ |
\(y^2+xy+y=x^3-x^2-1273822x+1032192621\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
20230.p1 |
20230l1 |
20230.p |
20230l |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 5^{3} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.225043198$ |
$1$ |
|
$6$ |
$152064$ |
$1.889019$ |
$-79290863149681/213248000$ |
$[1, 0, 0, -258661, 50730241]$ |
\(y^2+xy=x^3-258661x+50730241\) |
680.2.0.? |
$[(738, 15815)]$ |
20230.q1 |
20230o1 |
20230.q |
20230o |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 5 \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$2.255606298$ |
$1$ |
|
$0$ |
$2976768$ |
$3.341461$ |
$17997704835884047/15112079933440$ |
$[1, 0, 0, 26823240, 35909026880]$ |
\(y^2+xy=x^3+26823240x+35909026880\) |
680.2.0.? |
$[(74584/5, 46997992/5)]$ |
20230.r1 |
20230n1 |
20230.r |
20230n |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{4} \cdot 7^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$2.054930918$ |
$1$ |
|
$3$ |
$783360$ |
$2.476250$ |
$27306250652897/31360000$ |
$[1, 1, 1, -3082191, 2079399509]$ |
\(y^2+xy+y=x^3+x^2-3082191x+2079399509\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[(1059, 1570)]$ |
20230.r2 |
20230n2 |
20230.r |
20230n |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 7^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$4.109861836$ |
$1$ |
|
$2$ |
$1566720$ |
$2.822823$ |
$-11289171456737/30012500000$ |
$[1, 1, 1, -2296111, 3166390933]$ |
\(y^2+xy+y=x^3+x^2-2296111x+3166390933\) |
2.3.0.a.1, 8.6.0.e.1, 68.6.0.c.1, 136.12.0.? |
$[(9079, 850322)]$ |
20230.s1 |
20230s1 |
20230.s |
20230s |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{5} \cdot 5 \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.088869$ |
$206425071/133280$ |
$[1, -1, 1, 3558, -28679]$ |
\(y^2+xy+y=x^3-x^2+3558x-28679\) |
680.2.0.? |
$[]$ |