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 |
122010.a1 |
122010b1 |
122010.a |
122010b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 83 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3320$ |
$2$ |
$0$ |
$1.574987868$ |
$1$ |
|
$10$ |
$35712$ |
$0.086532$ |
$1565539801/268920$ |
$0.79640$ |
$2.13999$ |
$[1, 1, 0, -88, 232]$ |
\(y^2+xy=x^3+x^2-88x+232\) |
3320.2.0.? |
$[(7, 1), (-11, 1)]$ |
122010.b1 |
122010a2 |
122010.b |
122010a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 7^{21} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$69720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.851494$ |
$-19447964478993961/47285712639032280$ |
$1.01453$ |
$4.91172$ |
$[1, 1, 0, -274523, 3588847893]$ |
\(y^2+xy=x^3+x^2-274523x+3588847893\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 9960.8.0.?, 69720.16.0.? |
$[]$ |
122010.b2 |
122010a1 |
122010.b |
122010a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 7^{11} \cdot 83^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$69720$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$2.302189$ |
$26674615918439/64867662735750$ |
$0.98887$ |
$4.34887$ |
$[1, 1, 0, 30502, -132884142]$ |
\(y^2+xy=x^3+x^2+30502x-132884142\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 9960.8.0.?, 69720.16.0.? |
$[]$ |
122010.c1 |
122010d2 |
122010.c |
122010d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{3} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$34860$ |
$12$ |
$0$ |
$0.698384057$ |
$1$ |
|
$6$ |
$71680$ |
$0.457882$ |
$42399022303/2066700$ |
$0.83972$ |
$2.58781$ |
$[1, 1, 0, -508, 4012]$ |
\(y^2+xy=x^3+x^2-508x+4012\) |
2.3.0.a.1, 42.6.0.a.1, 4980.6.0.?, 11620.6.0.?, 34860.12.0.? |
$[(6, 32)]$ |
122010.c2 |
122010d1 |
122010.c |
122010d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{3} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$34860$ |
$12$ |
$0$ |
$1.396768114$ |
$1$ |
|
$5$ |
$35840$ |
$0.111308$ |
$223648543/59760$ |
$0.78457$ |
$2.13999$ |
$[1, 1, 0, -88, -272]$ |
\(y^2+xy=x^3+x^2-88x-272\) |
2.3.0.a.1, 84.6.0.?, 4980.6.0.?, 5810.6.0.?, 34860.12.0.? |
$[(-4, 8)]$ |
122010.d1 |
122010e2 |
122010.d |
122010e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{9} \cdot 83^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13944$ |
$16$ |
$0$ |
$0.276811149$ |
$1$ |
|
$4$ |
$2073600$ |
$2.144676$ |
$-752878092784212361/353021293800$ |
$0.93408$ |
$4.51158$ |
$[1, 1, 0, -928673, 344215677]$ |
\(y^2+xy=x^3+x^2-928673x+344215677\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 1992.8.0.?, 4648.2.0.?, 13944.16.0.? |
$[(1861, 70242)]$ |
122010.d2 |
122010e1 |
122010.d |
122010e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13944$ |
$16$ |
$0$ |
$0.830433447$ |
$1$ |
|
$4$ |
$691200$ |
$1.595369$ |
$567457901639/13235906250$ |
$0.90062$ |
$3.62122$ |
$[1, 1, 0, 8452, 1878402]$ |
\(y^2+xy=x^3+x^2+8452x+1878402\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 1992.8.0.?, 4648.2.0.?, 13944.16.0.? |
$[(181, 2972)]$ |
122010.e1 |
122010c1 |
122010.e |
122010c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$69720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$211968$ |
$0.902164$ |
$16022066761/1673280$ |
$0.80339$ |
$3.00317$ |
$[1, 1, 0, -2573, -46563]$ |
\(y^2+xy=x^3+x^2-2573x-46563\) |
2.3.0.a.1, 24.6.0.c.1, 5810.6.0.?, 69720.12.0.? |
$[]$ |
122010.e2 |
122010c2 |
122010.e |
122010c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{8} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$69720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$423936$ |
$1.248737$ |
$33980740919/202536600$ |
$0.85502$ |
$3.25776$ |
$[1, 1, 0, 3307, -221787]$ |
\(y^2+xy=x^3+x^2+3307x-221787\) |
2.3.0.a.1, 24.6.0.b.1, 11620.6.0.?, 69720.12.0.? |
$[]$ |
122010.f1 |
122010f1 |
122010.f |
122010f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13944$ |
$12$ |
$0$ |
$2.373036747$ |
$1$ |
|
$3$ |
$663552$ |
$1.472164$ |
$167548422911689/175694400$ |
$0.88380$ |
$3.79340$ |
$[1, 1, 0, -56277, -5157459]$ |
\(y^2+xy=x^3+x^2-56277x-5157459\) |
2.3.0.a.1, 56.6.0.c.1, 498.6.0.?, 13944.12.0.? |
$[(307, 2419)]$ |
122010.f2 |
122010f2 |
122010.f |
122010f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 7^{7} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13944$ |
$12$ |
$0$ |
$1.186518373$ |
$1$ |
|
$6$ |
$1327104$ |
$1.818739$ |
$-72454344765769/175772835000$ |
$0.90256$ |
$3.86246$ |
$[1, 1, 0, -42557, -7717611]$ |
\(y^2+xy=x^3+x^2-42557x-7717611\) |
2.3.0.a.1, 56.6.0.b.1, 996.6.0.?, 13944.12.0.? |
$[(503, 9671)]$ |
122010.g1 |
122010n2 |
122010.g |
122010n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2 \cdot 3^{10} \cdot 5 \cdot 7^{7} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$69720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$1.671099$ |
$55258451698969/28475199270$ |
$0.90333$ |
$3.69869$ |
$[1, 1, 0, -38882, 960534]$ |
\(y^2+xy=x^3+x^2-38882x+960534\) |
2.3.0.a.1, 280.6.0.?, 996.6.0.?, 69720.12.0.? |
$[]$ |
122010.g2 |
122010n1 |
122010.g |
122010n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{2} \cdot 3^{5} \cdot 5^{2} \cdot 7^{8} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$69720$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$430080$ |
$1.324526$ |
$9648632960569/98828100$ |
$0.86231$ |
$3.54968$ |
$[1, 1, 0, -21732, -1231236]$ |
\(y^2+xy=x^3+x^2-21732x-1231236\) |
2.3.0.a.1, 280.6.0.?, 498.6.0.?, 69720.12.0.? |
$[]$ |
122010.h1 |
122010j1 |
122010.h |
122010j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4648$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2663424$ |
$2.235970$ |
$-19264544181973060489/17134387200$ |
$0.94943$ |
$4.78833$ |
$[1, 1, 0, -2736577, -1743589259]$ |
\(y^2+xy=x^3+x^2-2736577x-1743589259\) |
4648.2.0.? |
$[]$ |
122010.i1 |
122010h3 |
122010.i |
122010h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \cdot 83^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$34860$ |
$96$ |
$1$ |
$1.646773240$ |
$1$ |
|
$19$ |
$9953280$ |
$2.975113$ |
$3075351278706579064249/48414348864000000$ |
$0.97046$ |
$5.22147$ |
$[1, 1, 0, -14845212, 21707761104]$ |
\(y^2+xy=x^3+x^2-14845212x+21707761104\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[(1973, 9181), (728, 105876)]$ |
122010.i2 |
122010h1 |
122010.i |
122010h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{12} \cdot 83 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$34860$ |
$96$ |
$1$ |
$14.82095916$ |
$1$ |
|
$9$ |
$3317760$ |
$2.425804$ |
$3539111138359094089/76880750864400$ |
$0.94203$ |
$4.64366$ |
$[1, 1, 0, -1555677, -733336659]$ |
\(y^2+xy=x^3+x^2-1555677x-733336659\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[(-673, 3399), (-718, 4119)]$ |
122010.i3 |
122010h4 |
122010.i |
122010h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \cdot 83^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$34860$ |
$96$ |
$1$ |
$1.646773240$ |
$1$ |
|
$16$ |
$19906560$ |
$3.321686$ |
$-1339180572778744249/13347013802416056000$ |
$1.04183$ |
$5.39351$ |
$[1, 1, 0, -1125212, 60291145104]$ |
\(y^2+xy=x^3+x^2-1125212x+60291145104\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 30.24.0-6.a.1.4, $\ldots$ |
$[(-3872, 83276), (3968, 341996)]$ |
122010.i4 |
122010h2 |
122010.i |
122010h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{2} \cdot 3^{18} \cdot 5 \cdot 7^{9} \cdot 83^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$34860$ |
$96$ |
$1$ |
$14.82095916$ |
$1$ |
|
$6$ |
$6635520$ |
$2.772381$ |
$1836960390293111/18308926676226060$ |
$1.08106$ |
$4.83068$ |
$[1, 1, 0, 125023, -2232857199]$ |
\(y^2+xy=x^3+x^2+125023x-2232857199\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 30.24.0-6.a.1.3, $\ldots$ |
$[(1420, 27759), (1264864/13, 1412239139/13)]$ |
122010.j1 |
122010g1 |
122010.j |
122010g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 7^{3} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$1.085958$ |
$16431620361967/8811970560$ |
$0.92648$ |
$3.09669$ |
$[1, 1, 0, -3707, 21981]$ |
\(y^2+xy=x^3+x^2-3707x+21981\) |
2.3.0.a.1, 56.6.0.c.1, 3320.6.0.?, 5810.6.0.?, 23240.12.0.? |
$[]$ |
122010.j2 |
122010g2 |
122010.j |
122010g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.432533$ |
$925633609502993/578543731200$ |
$0.95283$ |
$3.44089$ |
$[1, 1, 0, 14213, 190429]$ |
\(y^2+xy=x^3+x^2+14213x+190429\) |
2.3.0.a.1, 56.6.0.b.1, 3320.6.0.?, 11620.6.0.?, 23240.12.0.? |
$[]$ |
122010.k1 |
122010i4 |
122010.k |
122010i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{2} \cdot 3^{28} \cdot 5^{5} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$69720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41287680$ |
$3.601582$ |
$19766874175324764437159209/23734672172022037500$ |
$1.03351$ |
$5.97015$ |
$[1, 1, 0, -276015947, 1763071924209]$ |
\(y^2+xy=x^3+x^2-276015947x+1763071924209\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
122010.k2 |
122010i3 |
122010.k |
122010i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{20} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$69720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41287680$ |
$3.601582$ |
$7488482171405468850635689/69244766235351562500$ |
$1.03122$ |
$5.88727$ |
$[1, 1, 0, -199719027, -1077737759559]$ |
\(y^2+xy=x^3+x^2-199719027x-1077737759559\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
122010.k3 |
122010i2 |
122010.k |
122010i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{10} \cdot 7^{6} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$34860$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$20643840$ |
$3.255009$ |
$9776964066308570159209/5148417725156250000$ |
$1.03734$ |
$5.32023$ |
$[1, 1, 0, -21828447, 11770886709]$ |
\(y^2+xy=x^3+x^2-21828447x+11770886709\) |
2.6.0.a.1, 60.12.0.b.1, 84.12.0.?, 140.12.0.?, 420.24.0.?, $\ldots$ |
$[]$ |
122010.k4 |
122010i1 |
122010.k |
122010i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{5} \cdot 7^{6} \cdot 83^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$69720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10321920$ |
$2.908436$ |
$130384850244802923671/83033078421600000$ |
$1.02528$ |
$4.95160$ |
$[1, 1, 0, 5176433, 1438819621]$ |
\(y^2+xy=x^3+x^2+5176433x+1438819621\) |
2.3.0.a.1, 4.6.0.c.1, 30.6.0.a.1, 60.12.0.g.1, 84.12.0.?, $\ldots$ |
$[]$ |
122010.l1 |
122010k2 |
122010.l |
122010k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2 \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9960$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1474560$ |
$1.891382$ |
$3087199234101529/199326394890$ |
$0.90458$ |
$4.04219$ |
$[1, 1, 0, -148642, -20852894]$ |
\(y^2+xy=x^3+x^2-148642x-20852894\) |
2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.? |
$[]$ |
122010.l2 |
122010k1 |
122010.l |
122010k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{2} \cdot 3^{5} \cdot 5^{2} \cdot 7^{10} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9960$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.544809$ |
$21973174804729/4842576900$ |
$0.87457$ |
$3.61995$ |
$[1, 1, 0, -28592, 1452396]$ |
\(y^2+xy=x^3+x^2-28592x+1452396\) |
2.3.0.a.1, 40.6.0.c.1, 498.6.0.?, 9960.12.0.? |
$[]$ |
122010.m1 |
122010l1 |
122010.m |
122010l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{10} \cdot 7^{9} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4648$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9354240$ |
$2.804245$ |
$-16663578523153907743/525234375000$ |
$0.96899$ |
$5.27440$ |
$[1, 1, 0, -18251937, -30021571971]$ |
\(y^2+xy=x^3+x^2-18251937x-30021571971\) |
4648.2.0.? |
$[]$ |
122010.n1 |
122010m2 |
122010.n |
122010m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{6} \cdot 3 \cdot 5^{10} \cdot 7^{9} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$34860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7956480$ |
$2.671070$ |
$29368348751959183/12916875000000$ |
$0.95565$ |
$4.73297$ |
$[1, 1, 0, -2204682, 616329876]$ |
\(y^2+xy=x^3+x^2-2204682x+616329876\) |
2.3.0.a.1, 42.6.0.a.1, 4980.6.0.?, 11620.6.0.?, 34860.12.0.? |
$[]$ |
122010.n2 |
122010m1 |
122010.n |
122010m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{5} \cdot 7^{9} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$34860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3978240$ |
$2.324497$ |
$18076936743188623/9561600000$ |
$1.01055$ |
$4.69154$ |
$[1, 1, 0, -1875402, 987296724]$ |
\(y^2+xy=x^3+x^2-1875402x+987296724\) |
2.3.0.a.1, 84.6.0.?, 4980.6.0.?, 5810.6.0.?, 34860.12.0.? |
$[]$ |
122010.o1 |
122010o2 |
122010.o |
122010o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{7} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9960$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1032192$ |
$1.596413$ |
$4418129129836969/39680640$ |
$0.95201$ |
$4.07279$ |
$[1, 1, 0, -167507, -26457171]$ |
\(y^2+xy=x^3+x^2-167507x-26457171\) |
2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.? |
$[]$ |
122010.o2 |
122010o1 |
122010.o |
122010o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{14} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9960$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.249840$ |
$1153990560169/101990400$ |
$0.89936$ |
$3.36836$ |
$[1, 1, 0, -10707, -397011]$ |
\(y^2+xy=x^3+x^2-10707x-397011\) |
2.3.0.a.1, 40.6.0.c.1, 498.6.0.?, 9960.12.0.? |
$[]$ |
122010.p1 |
122010t1 |
122010.p |
122010t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 7^{11} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11620$ |
$2$ |
$0$ |
$6.594695519$ |
$1$ |
|
$0$ |
$2472960$ |
$2.088161$ |
$-5042524562477641/3923384062500$ |
$0.91782$ |
$4.15683$ |
$[1, 0, 1, -175054, -43179244]$ |
\(y^2+xy+y=x^3-175054x-43179244\) |
11620.2.0.? |
$[(4831/3, 105979/3)]$ |
122010.q1 |
122010s4 |
122010.q |
122010s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 7^{7} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$23240$ |
$48$ |
$0$ |
$2.152766924$ |
$1$ |
|
$4$ |
$3342336$ |
$2.225212$ |
$153518910112934762761/13072500$ |
$0.95837$ |
$4.96555$ |
$[1, 0, 1, -5466074, 4918368872]$ |
\(y^2+xy+y=x^3-5466074x+4918368872\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, 280.24.0.?, $\ldots$ |
$[(1350, -659)]$ |
122010.q2 |
122010s2 |
122010.q |
122010s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11620$ |
$48$ |
$0$ |
$1.076383462$ |
$1$ |
|
$12$ |
$1671168$ |
$1.878637$ |
$37488077912343241/10936976400$ |
$0.91808$ |
$4.25537$ |
$[1, 0, 1, -341654, 76816856]$ |
\(y^2+xy+y=x^3-341654x+76816856\) |
2.6.0.a.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 140.24.0.?, 332.12.0.?, $\ldots$ |
$[(354, 337)]$ |
122010.q3 |
122010s3 |
122010.q |
122010s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{10} \cdot 83^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$23240$ |
$48$ |
$0$ |
$2.152766924$ |
$1$ |
|
$4$ |
$3342336$ |
$2.225212$ |
$-24764567772437641/20510537169780$ |
$0.92727$ |
$4.29582$ |
$[1, 0, 1, -297554, 97385096]$ |
\(y^2+xy+y=x^3-297554x+97385096\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$ |
$[(-66, 10837)]$ |
122010.q4 |
122010s1 |
122010.q |
122010s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 7^{7} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$23240$ |
$48$ |
$0$ |
$0.538191731$ |
$1$ |
|
$9$ |
$835584$ |
$1.532064$ |
$13212881163721/4879284480$ |
$0.87738$ |
$3.57652$ |
$[1, 0, 1, -24134, 866072]$ |
\(y^2+xy+y=x^3-24134x+866072\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ |
$[(18, 652)]$ |
122010.r1 |
122010u1 |
122010.r |
122010u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{6} \cdot 3^{5} \cdot 5^{12} \cdot 7^{28} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13944$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6386688000$ |
$6.133362$ |
$101911330862444537650467942170606186761/1232143448888598218129390625000000$ |
$1.05842$ |
$8.46942$ |
$[1, 0, 1, -4768286410074, -3965581960364722484]$ |
\(y^2+xy+y=x^3-4768286410074x-3965581960364722484\) |
2.3.0.a.1, 56.6.0.c.1, 498.6.0.?, 13944.12.0.? |
$[]$ |
122010.r2 |
122010u2 |
122010.r |
122010u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{3} \cdot 3^{10} \cdot 5^{24} \cdot 7^{17} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13944$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12773376000$ |
$6.479935$ |
$-668790373670946788154751785606988681/383545828061955844402313232421875000$ |
$1.09069$ |
$8.62937$ |
$[1, 0, 1, -892725993794, -10225390245188511508]$ |
\(y^2+xy+y=x^3-892725993794x-10225390245188511508\) |
2.3.0.a.1, 56.6.0.b.1, 996.6.0.?, 13944.12.0.? |
$[]$ |
122010.s1 |
122010v1 |
122010.s |
122010v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 7^{7} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11620$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.292856$ |
$-10591472326681/41832000$ |
$0.86295$ |
$3.55822$ |
$[1, 0, 1, -22419, -1298258]$ |
\(y^2+xy+y=x^3-22419x-1298258\) |
11620.2.0.? |
$[]$ |
122010.t1 |
122010p1 |
122010.t |
122010p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \cdot 7^{9} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23240$ |
$12$ |
$0$ |
$5.703970382$ |
$1$ |
|
$3$ |
$1935360$ |
$2.058914$ |
$16431620361967/8811970560$ |
$0.92648$ |
$4.09358$ |
$[1, 0, 1, -181669, -8084464]$ |
\(y^2+xy+y=x^3-181669x-8084464\) |
2.3.0.a.1, 56.6.0.c.1, 3320.6.0.?, 5810.6.0.?, 23240.12.0.? |
$[(484, 3932)]$ |
122010.t2 |
122010p2 |
122010.t |
122010p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{9} \cdot 3^{8} \cdot 5^{2} \cdot 7^{9} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$23240$ |
$12$ |
$0$ |
$2.851985191$ |
$1$ |
|
$4$ |
$3870720$ |
$2.405487$ |
$925633609502993/578543731200$ |
$0.95283$ |
$4.43778$ |
$[1, 0, 1, 696411, -63227888]$ |
\(y^2+xy+y=x^3+696411x-63227888\) |
2.3.0.a.1, 56.6.0.b.1, 3320.6.0.?, 11620.6.0.?, 23240.12.0.? |
$[(650, 25446)]$ |
122010.u1 |
122010q1 |
122010.u |
122010q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{3} \cdot 3^{4} \cdot 5^{10} \cdot 7^{3} \cdot 83 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4648$ |
$2$ |
$0$ |
$0.772365573$ |
$1$ |
|
$4$ |
$1336320$ |
$1.831291$ |
$-16663578523153907743/525234375000$ |
$0.96899$ |
$4.27751$ |
$[1, 0, 1, -372489, 87473236]$ |
\(y^2+xy+y=x^3-372489x+87473236\) |
4648.2.0.? |
$[(488, 4443)]$ |
122010.v1 |
122010r2 |
122010.v |
122010r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{6} \cdot 3 \cdot 5^{10} \cdot 7^{3} \cdot 83^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$34860$ |
$12$ |
$0$ |
$4.256946681$ |
$1$ |
|
$0$ |
$1136640$ |
$1.698116$ |
$29368348751959183/12916875000000$ |
$0.95565$ |
$3.73608$ |
$[1, 0, 1, -44994, -1803308]$ |
\(y^2+xy+y=x^3-44994x-1803308\) |
2.3.0.a.1, 42.6.0.a.1, 4980.6.0.?, 11620.6.0.?, 34860.12.0.? |
$[(-443/3, 15259/3)]$ |
122010.v2 |
122010r1 |
122010.v |
122010r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{5} \cdot 7^{3} \cdot 83 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$34860$ |
$12$ |
$0$ |
$8.513893362$ |
$1$ |
|
$1$ |
$568320$ |
$1.351542$ |
$18076936743188623/9561600000$ |
$1.01055$ |
$3.69464$ |
$[1, 0, 1, -38274, -2883884]$ |
\(y^2+xy+y=x^3-38274x-2883884\) |
2.3.0.a.1, 84.6.0.?, 4980.6.0.?, 5810.6.0.?, 34860.12.0.? |
$[(21029/4, 2971767/4)]$ |
122010.w1 |
122010bf4 |
122010.w |
122010bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{7} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13944$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8257536$ |
$2.888996$ |
$314353338448506783273289/141150729600$ |
$1.02263$ |
$5.61655$ |
$[1, 0, 1, -69410878, -222587464144]$ |
\(y^2+xy+y=x^3-69410878x-222587464144\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[]$ |
122010.w2 |
122010bf2 |
122010.w |
122010bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$13944$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4128768$ |
$2.542423$ |
$76783454067608361289/51426109440000$ |
$0.99591$ |
$4.90639$ |
$[1, 0, 1, -4338878, -3477025744]$ |
\(y^2+xy+y=x^3-4338878x-3477025744\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
122010.w3 |
122010bf3 |
122010.w |
122010bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 83^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13944$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8257536$ |
$2.888996$ |
$-40032890408196055369/64068733350000000$ |
$1.00793$ |
$4.96399$ |
$[1, 0, 1, -3492158, -4874452432]$ |
\(y^2+xy+y=x^3-3492158x-4874452432\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[]$ |
122010.w4 |
122010bf1 |
122010.w |
122010bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{28} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13944$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.195850$ |
$32208729120020809/15039096422400$ |
$0.98286$ |
$4.24241$ |
$[1, 0, 1, -324798, -31339472]$ |
\(y^2+xy+y=x^3-324798x-31339472\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$ |
$[]$ |
122010.x1 |
122010w1 |
122010.x |
122010w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 83 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$249984$ |
$1.059486$ |
$1565539801/268920$ |
$0.79640$ |
$3.13689$ |
$[1, 0, 1, -4338, -92564]$ |
\(y^2+xy+y=x^3-4338x-92564\) |
3320.2.0.? |
$[]$ |
122010.y1 |
122010bb1 |
122010.y |
122010bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{10} \cdot 83 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4980$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.279358$ |
$103722964445967049/38262336000000$ |
$0.93489$ |
$4.34226$ |
$[1, 0, 1, -479638, -77025112]$ |
\(y^2+xy+y=x^3-479638x-77025112\) |
2.3.0.a.1, 20.6.0.b.1, 498.6.0.?, 4980.12.0.? |
$[]$ |