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 |
55470.a1 |
55470b1 |
55470.a |
55470b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{5} \cdot 43^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$6826680$ |
$3.097549$ |
$-126504750721/675000$ |
$[1, 1, 0, -29131033, 60783850237]$ |
\(y^2+xy=x^3+x^2-29131033x+60783850237\) |
120.2.0.? |
$[]$ |
55470.b1 |
55470a1 |
55470.b |
55470a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$2.243367049$ |
$1$ |
|
$8$ |
$36288$ |
$0.418702$ |
$974603041/552960$ |
$[1, 1, 0, -253, -323]$ |
\(y^2+xy=x^3+x^2-253x-323\) |
60.2.0.a.1 |
$[(-6, 35), (-3, 22)]$ |
55470.c1 |
55470d1 |
55470.c |
55470d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.300970987$ |
$1$ |
|
$4$ |
$21504$ |
$0.267900$ |
$6401711/101250$ |
$[1, 1, 0, 48, 666]$ |
\(y^2+xy=x^3+x^2+48x+666\) |
8.2.0.a.1 |
$[(-3, 24)]$ |
55470.d1 |
55470c3 |
55470.d |
55470c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{12} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1032$ |
$96$ |
$1$ |
$4.172658696$ |
$1$ |
|
$5$ |
$15966720$ |
$3.514809$ |
$4465136636671380769/2096375976562500$ |
$[1, 1, 0, -63431832, 84443489676]$ |
\(y^2+xy=x^3+x^2-63431832x+84443489676\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.d.1, 24.48.0-24.bx.1.2, $\ldots$ |
$[(7622, 205564)]$ |
55470.d2 |
55470c1 |
55470.d |
55470c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1032$ |
$96$ |
$1$ |
$12.51797608$ |
$1$ |
|
$1$ |
$5322240$ |
$2.965504$ |
$599437478278595809/33854760000$ |
$[1, 1, 0, -32479572, -71256562416]$ |
\(y^2+xy=x^3+x^2-32479572x-71256562416\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.d.1, 24.48.0-24.bx.1.6, $\ldots$ |
$[(2027672/13, 2459195172/13)]$ |
55470.d3 |
55470c2 |
55470.d |
55470c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{18} \cdot 5^{2} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$1032$ |
$96$ |
$1$ |
$25.03595217$ |
$1$ |
|
$0$ |
$10644480$ |
$3.312077$ |
$-502780379797811809/143268096832200$ |
$[1, 1, 0, -30630572, -79724612616]$ |
\(y^2+xy=x^3+x^2-30630572x-79724612616\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.5, $\ldots$ |
$[(130553240307/3302, 40363678730847783/3302)]$ |
55470.d4 |
55470c4 |
55470.d |
55470c |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{6} \cdot 43^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$1032$ |
$96$ |
$1$ |
$8.345317392$ |
$1$ |
|
$2$ |
$31933440$ |
$3.861382$ |
$200541749524551119231/144008551960031250$ |
$[1, 1, 0, 225474418, 639663520926]$ |
\(y^2+xy=x^3+x^2+225474418x+639663520926\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.11, $\ldots$ |
$[(-1623, 519894)]$ |
55470.e1 |
55470e1 |
55470.e |
55470e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$5.285630681$ |
$1$ |
|
$1$ |
$1182720$ |
$2.122894$ |
$770842973809/66873600$ |
$[1, 1, 0, -353197, -74638691]$ |
\(y^2+xy=x^3+x^2-353197x-74638691\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(70410/7, 16512901/7)]$ |
55470.e2 |
55470e2 |
55470.e |
55470e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$10.57126136$ |
$1$ |
|
$0$ |
$2365440$ |
$2.469467$ |
$1009328859791/8734528080$ |
$[1, 1, 0, 386403, -345184371]$ |
\(y^2+xy=x^3+x^2+386403x-345184371\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(8003395/77, 23141703626/77)]$ |
55470.f1 |
55470i1 |
55470.f |
55470i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{8} \cdot 5^{12} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.458262235$ |
$1$ |
|
$2$ |
$2451456$ |
$2.745159$ |
$-388982677010590321/839808000000000000$ |
$[1, 0, 1, -186659, 1896143582]$ |
\(y^2+xy+y=x^3-186659x+1896143582\) |
8.2.0.a.1 |
$[(2946, 162589)]$ |
55470.g1 |
55470f1 |
55470.g |
55470f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{3} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1061928$ |
$2.288540$ |
$-12932809/546750$ |
$[1, 0, 1, -110979, -122464844]$ |
\(y^2+xy+y=x^3-110979x-122464844\) |
120.2.0.? |
$[]$ |
55470.h1 |
55470h1 |
55470.h |
55470h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{5} \cdot 3^{4} \cdot 5^{3} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1.972990284$ |
$1$ |
|
$2$ |
$887040$ |
$1.943855$ |
$-10091699281/13932000$ |
$[1, 0, 1, -83244, -17016374]$ |
\(y^2+xy+y=x^3-83244x-17016374\) |
1720.2.0.? |
$[(1616, 62982)]$ |
55470.i1 |
55470g2 |
55470.i |
55470g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3120768$ |
$2.736446$ |
$-337335507529/72000000$ |
$[1, 0, 1, -3291259, -2689109818]$ |
\(y^2+xy+y=x^3-3291259x-2689109818\) |
3.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.6 |
$[]$ |
55470.i2 |
55470g1 |
55470.i |
55470g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 43^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1040256$ |
$2.187141$ |
$222641831/145800$ |
$[1, 0, 1, 286556, 21442826]$ |
\(y^2+xy+y=x^3+286556x+21442826\) |
3.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.8 |
$[]$ |
55470.j1 |
55470m2 |
55470.j |
55470m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$18.94510745$ |
$1$ |
|
$0$ |
$14530560$ |
$3.542233$ |
$262147686417280027/22500$ |
$[1, 0, 1, -1060098303, -13285264645802]$ |
\(y^2+xy+y=x^3-1060098303x-13285264645802\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.? |
$[(-86974548596/2151, 93480531259355/2151)]$ |
55470.j2 |
55470m1 |
55470.j |
55470m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$9.472553727$ |
$1$ |
|
$1$ |
$7265280$ |
$3.195660$ |
$64014401080027/18750000$ |
$[1, 0, 1, -66260803, -207555750802]$ |
\(y^2+xy+y=x^3-66260803x-207555750802\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.? |
$[(-381101/9, 6979760/9)]$ |
55470.k1 |
55470n2 |
55470.k |
55470n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{3} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1064448$ |
$2.284615$ |
$263732349218689/4160250$ |
$[1, 0, 1, -2470303, -1494607744]$ |
\(y^2+xy+y=x^3-2470303x-1494607744\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[]$ |
55470.k2 |
55470n1 |
55470.k |
55470n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{6} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$532224$ |
$1.938042$ |
$70393838689/8062500$ |
$[1, 0, 1, -159053, -21879244]$ |
\(y^2+xy+y=x^3-159053x-21879244\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[]$ |
55470.l1 |
55470j1 |
55470.l |
55470j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5 \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1.015180526$ |
$1$ |
|
$4$ |
$24640$ |
$0.410785$ |
$-77854483/5760$ |
$[1, 0, 1, -383, 3026]$ |
\(y^2+xy+y=x^3-383x+3026\) |
1720.2.0.? |
$[(-18, 73)]$ |
55470.m1 |
55470k2 |
55470.m |
55470k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{5} \cdot 3^{14} \cdot 5 \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.527362714$ |
$1$ |
|
$4$ |
$295680$ |
$1.465353$ |
$80325199737523/765275040$ |
$[1, 0, 1, -38653, 2897528]$ |
\(y^2+xy+y=x^3-38653x+2897528\) |
2.3.0.a.1, 120.6.0.?, 516.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[(142, 455)]$ |
55470.m2 |
55470k1 |
55470.m |
55470k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.763681357$ |
$1$ |
|
$9$ |
$147840$ |
$1.118778$ |
$106968940723/55987200$ |
$[1, 0, 1, -4253, -33352]$ |
\(y^2+xy+y=x^3-4253x-33352\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[(99, 670)]$ |
55470.n1 |
55470l1 |
55470.n |
55470l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.134526853$ |
$1$ |
|
$0$ |
$866880$ |
$2.006458$ |
$186222121/6000$ |
$[1, 0, 1, -269993, 52450556]$ |
\(y^2+xy+y=x^3-269993x+52450556\) |
60.2.0.a.1 |
$[(3235/3, 32114/3)]$ |
55470.o1 |
55470o2 |
55470.o |
55470o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{6} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18627840$ |
$3.432590$ |
$503835593418244309249/898614000000$ |
$[1, 0, 1, -306519863, 2065522864538]$ |
\(y^2+xy+y=x^3-306519863x+2065522864538\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
55470.o2 |
55470o1 |
55470.o |
55470o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9313920$ |
$3.086018$ |
$-119305480789133569/5200091136000$ |
$[1, 0, 1, -18963383, 32958641306]$ |
\(y^2+xy+y=x^3-18963383x+32958641306\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[]$ |
55470.p1 |
55470w2 |
55470.p |
55470w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$7.564307126$ |
$1$ |
|
$0$ |
$413952$ |
$1.655754$ |
$2305199161/277350$ |
$[1, 1, 1, -50886, 3910989]$ |
\(y^2+xy+y=x^3+x^2-50886x+3910989\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(-123669/22, 7308815/22)]$ |
55470.p2 |
55470w1 |
55470.p |
55470w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$3.782153563$ |
$1$ |
|
$1$ |
$206976$ |
$1.309179$ |
$1685159/7740$ |
$[1, 1, 1, 4584, 316533]$ |
\(y^2+xy+y=x^3+x^2+4584x+316533\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[(3313/8, 413611/8)]$ |
55470.q1 |
55470v1 |
55470.q |
55470v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$60$ |
$2$ |
$0$ |
$1.142134798$ |
$1$ |
|
$2$ |
$20160$ |
$0.125858$ |
$186222121/6000$ |
$[1, 1, 1, -146, -721]$ |
\(y^2+xy+y=x^3+x^2-146x-721\) |
60.2.0.a.1 |
$[(-7, 7)]$ |
55470.r1 |
55470t4 |
55470.r |
55470t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$7.922128163$ |
$1$ |
|
$2$ |
$5322240$ |
$2.976376$ |
$15393836938735081/2275690697640$ |
$[1, 1, 1, -9582481, 9847709639]$ |
\(y^2+xy+y=x^3+x^2-9582481x+9847709639\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 40.6.0.b.1, $\ldots$ |
$[(-1959, 146260)]$ |
55470.r2 |
55470t3 |
55470.r |
55470t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$3.961064081$ |
$1$ |
|
$5$ |
$2661120$ |
$2.629799$ |
$13679527032530281/381633600$ |
$[1, 1, 1, -9212681, 10758748919]$ |
\(y^2+xy+y=x^3+x^2-9212681x+10758748919\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 40.6.0.c.1, 120.48.0.?, $\ldots$ |
$[(1739, -80)]$ |
55470.r3 |
55470t2 |
55470.r |
55470t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{3} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$23.76638448$ |
$1$ |
|
$0$ |
$1774080$ |
$2.427067$ |
$276670733768281/336980250$ |
$[1, 1, 1, -2510056, -1530074881]$ |
\(y^2+xy+y=x^3+x^2-2510056x-1530074881\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.b.1, $\ldots$ |
$[(-51585708057/7598, 454348875604997/7598)]$ |
55470.r4 |
55470t1 |
55470.r |
55470t |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5160$ |
$96$ |
$1$ |
$11.88319224$ |
$1$ |
|
$1$ |
$887040$ |
$2.080494$ |
$137467988281/72562500$ |
$[1, 1, 1, -198806, -10196881]$ |
\(y^2+xy+y=x^3+x^2-198806x-10196881\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 40.6.0.c.1, 120.48.0.?, $\ldots$ |
$[(-567409/58, 857213555/58)]$ |
55470.s1 |
55470q2 |
55470.s |
55470q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{5} \cdot 3^{14} \cdot 5 \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12714240$ |
$3.345951$ |
$80325199737523/765275040$ |
$[1, 1, 1, -71468511, -230659652571]$ |
\(y^2+xy+y=x^3+x^2-71468511x-230659652571\) |
2.3.0.a.1, 120.6.0.?, 516.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[]$ |
55470.s2 |
55470q1 |
55470.s |
55470q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6357120$ |
$2.999378$ |
$106968940723/55987200$ |
$[1, 1, 1, -7862911, 2620245989]$ |
\(y^2+xy+y=x^3+x^2-7862911x+2620245989\) |
2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.? |
$[]$ |
55470.t1 |
55470p1 |
55470.t |
55470p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5 \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1059520$ |
$2.291386$ |
$-77854483/5760$ |
$[1, 1, 1, -707281, -243437137]$ |
\(y^2+xy+y=x^3+x^2-707281x-243437137\) |
1720.2.0.? |
$[]$ |
55470.u1 |
55470s2 |
55470.u |
55470s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 5 \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$4.367751500$ |
$1$ |
|
$0$ |
$1064448$ |
$2.133907$ |
$1481933914201/53916840$ |
$[1, 1, 1, -439176, 108261153]$ |
\(y^2+xy+y=x^3+x^2-439176x+108261153\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(17437/4, 1912091/4)]$ |
55470.u2 |
55470s1 |
55470.u |
55470s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$2.183875750$ |
$1$ |
|
$1$ |
$532224$ |
$1.787333$ |
$5841725401/1857600$ |
$[1, 1, 1, -69376, -4749727]$ |
\(y^2+xy+y=x^3+x^2-69376x-4749727\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(-489/2, 11579/2)]$ |
55470.v1 |
55470u1 |
55470.v |
55470u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{53} \cdot 3^{8} \cdot 5^{9} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$7.995546653$ |
$1$ |
|
$0$ |
$1974551040$ |
$5.875069$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$[1, 1, 1, 222305182134, 266453215936879959]$ |
\(y^2+xy+y=x^3+x^2+222305182134x+266453215936879959\) |
1720.2.0.? |
$[(86299249/13, 1573216498391/13)]$ |
55470.w1 |
55470r2 |
55470.w |
55470r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$337920$ |
$1.661633$ |
$262147686417280027/22500$ |
$[1, 1, 1, -573336, 166855533]$ |
\(y^2+xy+y=x^3+x^2-573336x+166855533\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.? |
$[]$ |
55470.w2 |
55470r1 |
55470.w |
55470r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$168960$ |
$1.315058$ |
$64014401080027/18750000$ |
$[1, 1, 1, -35836, 2595533]$ |
\(y^2+xy+y=x^3+x^2-35836x+2595533\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.? |
$[]$ |
55470.x1 |
55470bd4 |
55470.x |
55470bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1419264$ |
$2.380089$ |
$65202655558249/512820150$ |
$[1, 1, 1, -1550425, -738640015]$ |
\(y^2+xy+y=x^3+x^2-1550425x-738640015\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 344.24.0.?, $\ldots$ |
$[]$ |
55470.x2 |
55470bd2 |
55470.x |
55470bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$709632$ |
$2.033516$ |
$76711450249/41602500$ |
$[1, 1, 1, -163675, 6322085]$ |
\(y^2+xy+y=x^3+x^2-163675x+6322085\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.6, 344.24.0.?, 516.24.0.?, $\ldots$ |
$[]$ |
55470.x3 |
55470bd1 |
55470.x |
55470bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$354816$ |
$1.686943$ |
$35578826569/51600$ |
$[1, 1, 1, -126695, 17282957]$ |
\(y^2+xy+y=x^3+x^2-126695x+17282957\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.13, 258.6.0.?, 344.24.0.?, $\ldots$ |
$[]$ |
55470.x4 |
55470bd3 |
55470.x |
55470bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{8} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1419264$ |
$2.380089$ |
$4403686064471/2721093750$ |
$[1, 1, 1, 631395, 50527977]$ |
\(y^2+xy+y=x^3+x^2+631395x+50527977\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.5, 344.24.0.?, 1032.48.0.? |
$[]$ |
55470.y1 |
55470bb2 |
55470.y |
55470bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 5^{6} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$0.114029360$ |
$1$ |
|
$30$ |
$72576$ |
$0.855846$ |
$-337335507529/72000000$ |
$[1, 1, 1, -1780, 33077]$ |
\(y^2+xy+y=x^3+x^2-1780x+33077\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.? |
$[(77, 561), (-23, 261)]$ |
55470.y2 |
55470bb1 |
55470.y |
55470bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{2} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1.026264241$ |
$1$ |
|
$10$ |
$24192$ |
$0.306540$ |
$222641831/145800$ |
$[1, 1, 1, 155, -205]$ |
\(y^2+xy+y=x^3+x^2+155x-205\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.? |
$[(5, 24), (13, 58)]$ |
55470.z1 |
55470ba1 |
55470.z |
55470ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 5 \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19514880$ |
$3.628719$ |
$14382768678616871/9876709319915520$ |
$[1, 1, 1, 9367920, 380006493297]$ |
\(y^2+xy+y=x^3+x^2+9367920x+380006493297\) |
1720.2.0.? |
$[]$ |
55470.ba1 |
55470z4 |
55470.ba |
55470z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{12} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14192640$ |
$3.313168$ |
$32337636827233520089/3023437500000$ |
$[1, 1, 1, -122724640, -523302872095]$ |
\(y^2+xy+y=x^3+x^2-122724640x-523302872095\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 344.24.0.?, 1720.48.0.? |
$[]$ |
55470.ba2 |
55470z3 |
55470.ba |
55470z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{5} \cdot 3^{8} \cdot 5^{3} \cdot 43^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14192640$ |
$3.313168$ |
$1617141066657115609/89723013444000$ |
$[1, 1, 1, -45214560, 111251680737]$ |
\(y^2+xy+y=x^3+x^2-45214560x+111251680737\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.v.1.7, 344.24.0.?, $\ldots$ |
$[]$ |
55470.ba3 |
55470z2 |
55470.ba |
55470z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7096320$ |
$2.966595$ |
$9768641617435609/2396304000000$ |
$[1, 1, 1, -8234560, -6906815263]$ |
\(y^2+xy+y=x^3+x^2-8234560x-6906815263\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.6, 344.24.0.?, 860.24.0.?, $\ldots$ |
$[]$ |
55470.ba4 |
55470z1 |
55470.ba |
55470z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 5^{3} \cdot 43^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3548160$ |
$2.620022$ |
$32740359775271/50724864000$ |
$[1, 1, 1, 1232320, -681394975]$ |
\(y^2+xy+y=x^3+x^2+1232320x-681394975\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 344.24.0.?, 430.6.0.?, $\ldots$ |
$[]$ |