| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 490110.a1 |
490110a1 |
490110.a |
490110a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 17^{8} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$5.802617475$ |
$1$ |
|
$0$ |
$98703360$ |
$3.223312$ |
$-17314908540888569072648809/49990800256096665600$ |
$1.02044$ |
$4.95990$ |
$1$ |
$[1, 1, 0, -53187138, -149693521932]$ |
\(y^2+xy=x^3+x^2-53187138x-149693521932\) |
24.2.0.b.1 |
$[(35051/2, 1878129/2)]$ |
$1$ |
| 490110.b1 |
490110b1 |
490110.b |
490110b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 17 \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$340$ |
$2$ |
$0$ |
$6.003812806$ |
$1$ |
|
$2$ |
$32140800$ |
$2.804729$ |
$-65749629769/783360$ |
$0.88569$ |
$4.52356$ |
$1$ |
$[1, 1, 0, -7869168, 8580264192]$ |
\(y^2+xy=x^3+x^2-7869168x+8580264192\) |
340.2.0.? |
$[(352, 76336)]$ |
$1$ |
| 490110.c1 |
490110c1 |
490110.c |
490110c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 17^{5} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$340$ |
$2$ |
$0$ |
$8.881027370$ |
$1$ |
|
$2$ |
$48211200$ |
$2.948254$ |
$233773067111/20701515060$ |
$0.95001$ |
$4.47808$ |
$1$ |
$[1, 1, 0, 1217087, 6372602137]$ |
\(y^2+xy=x^3+x^2+1217087x+6372602137\) |
340.2.0.? |
$[(8882, 842897)]$ |
$1$ |
| 490110.d1 |
490110d1 |
490110.d |
490110d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5 \cdot 17 \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$31620$ |
$2$ |
$0$ |
$11.81278912$ |
$1$ |
|
$0$ |
$18247680$ |
$2.291454$ |
$223759095911/7468517520$ |
$0.90209$ |
$3.87526$ |
$1$ |
$[1, 1, 0, 121547, -122739203]$ |
\(y^2+xy=x^3+x^2+121547x-122739203\) |
31620.2.0.? |
$[(8036986/33, 22675767575/33)]$ |
$1$ |
| 490110.e1 |
490110e1 |
490110.e |
490110e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{15} \cdot 3 \cdot 5^{4} \cdot 17^{4} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$135705600$ |
$3.407814$ |
$-59664787376089/5131530240000$ |
$0.98043$ |
$4.89985$ |
$1$ |
$[1, 1, 0, -7720213, 100988222317]$ |
\(y^2+xy=x^3+x^2-7720213x+100988222317\) |
24.2.0.b.1 |
$[ ]$ |
$1$ |
| 490110.f1 |
490110f1 |
490110.f |
490110f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5 \cdot 17 \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15810$ |
$16$ |
$0$ |
$5.343979492$ |
$1$ |
|
$0$ |
$69120000$ |
$3.159664$ |
$-50929862936480458489/1890303298560$ |
$0.95566$ |
$5.03580$ |
$1$ |
$[1, 1, 0, -74211803, -246108202467]$ |
\(y^2+xy=x^3+x^2-74211803x-246108202467\) |
3.4.0.a.1, 93.8.0.?, 510.8.0.?, 5270.2.0.?, 15810.16.0.? |
$[(1904246/11, 2087289703/11)]$ |
$1$ |
| 490110.f2 |
490110f2 |
490110.f |
490110f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{30} \cdot 3^{2} \cdot 5^{3} \cdot 17^{3} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15810$ |
$16$ |
$0$ |
$1.781326497$ |
$1$ |
|
$4$ |
$207360000$ |
$3.708969$ |
$-566531035625599849/183975863648256000$ |
$1.00662$ |
$5.17570$ |
$1$ |
$[1, 1, 0, -16566218, -615339971628]$ |
\(y^2+xy=x^3+x^2-16566218x-615339971628\) |
3.4.0.a.1, 93.8.0.?, 510.8.0.?, 5270.2.0.?, 15810.16.0.? |
$[(130724, 47169710)]$ |
$1$ |
| 490110.g1 |
490110g4 |
490110.g |
490110g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2 \cdot 3 \cdot 5^{12} \cdot 17^{2} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3720$ |
$48$ |
$0$ |
$13.98619854$ |
$4$ |
$2$ |
$0$ |
$117964800$ |
$3.432571$ |
$2614753668092340287449/13123535156250$ |
$1.02315$ |
$5.33639$ |
$2$ |
$[1, 1, 0, -275819993, -1763246999853]$ |
\(y^2+xy=x^3+x^2-275819993x-1763246999853\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 372.12.0.?, $\ldots$ |
$[(-11730899/35, 279588196/35)]$ |
$1$ |
| 490110.g2 |
490110g3 |
490110.g |
490110g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{3} \cdot 17^{8} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3720$ |
$48$ |
$0$ |
$3.496549637$ |
$1$ |
|
$0$ |
$117964800$ |
$3.432571$ |
$20473880895487887769/4379031733587750$ |
$1.10604$ |
$4.96624$ |
$2$ |
$[1, 1, 0, -54770773, 123851859583]$ |
\(y^2+xy=x^3+x^2-54770773x+123851859583\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 620.12.0.?, $\ldots$ |
$[(34521/5, 28103191/5)]$ |
$1$ |
| 490110.g3 |
490110g2 |
490110.g |
490110g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 17^{4} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$6.993099274$ |
$1$ |
|
$4$ |
$58982400$ |
$3.085995$ |
$671505668344707769/45148320562500$ |
$0.99514$ |
$4.70542$ |
$1$ |
$[1, 1, 0, -17532023, -26570347167]$ |
\(y^2+xy=x^3+x^2-17532023x-26570347167\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.b.1, 120.24.0.?, 372.12.0.?, $\ldots$ |
$[(-2548, 40859)]$ |
$1$ |
| 490110.g4 |
490110g1 |
490110.g |
490110g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 17^{2} \cdot 31^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3720$ |
$48$ |
$0$ |
$13.98619854$ |
$1$ |
|
$1$ |
$29491200$ |
$2.739422$ |
$102970461234311/1601385414000$ |
$1.01453$ |
$4.28339$ |
$2$ |
$[1, 1, 0, 938397, -1779349443]$ |
\(y^2+xy=x^3+x^2+938397x-1779349443\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[(1633778/29, 2071469649/29)]$ |
$1$ |
| 490110.h1 |
490110h2 |
490110.h |
490110h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{5} \cdot 17^{4} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$13.75460859$ |
$1$ |
|
$0$ |
$12410880$ |
$2.331345$ |
$261824518994262912199/169130025000$ |
$0.99755$ |
$4.37448$ |
$1$ |
$[1, 1, 0, -4131653, -3234185643]$ |
\(y^2+xy=x^3+x^2-4131653x-3234185643\) |
2.3.0.a.1, 40.6.0.e.1, 124.6.0.?, 1240.12.0.? |
$[(2254547/22, 2960850623/22)]$ |
$1$ |
| 490110.h2 |
490110h1 |
490110.h |
490110h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 17^{2} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$6.877304297$ |
$1$ |
|
$3$ |
$6205440$ |
$1.984772$ |
$-62759620644912199/1625625000000$ |
$0.96311$ |
$3.74160$ |
$1$ |
$[1, 1, 0, -256653, -51260643]$ |
\(y^2+xy=x^3+x^2-256653x-51260643\) |
2.3.0.a.1, 40.6.0.e.1, 62.6.0.b.1, 1240.12.0.? |
$[(4458, 293451)]$ |
$1$ |
| 490110.i1 |
490110i1 |
490110.i |
490110i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 17 \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$7.055532646$ |
$1$ |
|
$2$ |
$11427840$ |
$2.291664$ |
$43694078187574391/6971062500000000$ |
$1.01557$ |
$3.87713$ |
$1$ |
$[1, 1, 0, 72412, -124272432]$ |
\(y^2+xy=x^3+x^2+72412x-124272432\) |
68.2.0.a.1 |
$[(41432, 8413004)]$ |
$1$ |
| 490110.j1 |
490110j1 |
490110.j |
490110j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5270$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3502080$ |
$1.621780$ |
$-6321363049/1517760$ |
$0.92074$ |
$3.32139$ |
$1$ |
$[1, 1, 0, -37018, -3276332]$ |
\(y^2+xy=x^3+x^2-37018x-3276332\) |
5270.2.0.? |
$[ ]$ |
$1$ |
| 490110.k1 |
490110k1 |
490110.k |
490110k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{3} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.213739723$ |
$1$ |
|
$24$ |
$1751040$ |
$1.146008$ |
$-28741482344281/3979530000$ |
$0.95984$ |
$2.90572$ |
$1$ |
$[1, 1, 0, -6297, 211509]$ |
\(y^2+xy=x^3+x^2-6297x+211509\) |
68.2.0.a.1 |
$[(38, 151), (123, 1086)]$ |
$1$ |
| 490110.l1 |
490110l1 |
490110.l |
490110l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 17 \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.559525323$ |
$1$ |
|
$16$ |
$345600$ |
$0.601211$ |
$16413728999/9562500$ |
$0.91823$ |
$2.31938$ |
$1$ |
$[1, 1, 0, 523, -159]$ |
\(y^2+xy=x^3+x^2+523x-159\) |
68.2.0.a.1 |
$[(32, 209), (7, 59)]$ |
$1$ |
| 490110.m1 |
490110m2 |
490110.m |
490110m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{7} \cdot 3^{6} \cdot 5^{2} \cdot 17 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$5.234907771$ |
$1$ |
|
$2$ |
$19353600$ |
$2.555672$ |
$172735174415217961/39657600$ |
$1.00968$ |
$4.60179$ |
$1$ |
$[1, 1, 0, -11150022, 14325864084]$ |
\(y^2+xy=x^3+x^2-11150022x+14325864084\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(273, 106176)]$ |
$1$ |
| 490110.m2 |
490110m1 |
490110.m |
490110m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 17^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$2.617453885$ |
$1$ |
|
$3$ |
$9676800$ |
$2.209099$ |
$-41713327443241/639221760$ |
$0.96929$ |
$3.96812$ |
$1$ |
$[1, 1, 0, -694342, 225334036]$ |
\(y^2+xy=x^3+x^2-694342x+225334036\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(555, 3086)]$ |
$1$ |
| 490110.n1 |
490110n1 |
490110.n |
490110n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 17^{3} \cdot 31^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$31620$ |
$2$ |
$0$ |
$28.03200565$ |
$1$ |
|
$0$ |
$135475200$ |
$3.567169$ |
$-49158256787653106521/24609002100270480$ |
$0.96232$ |
$5.08066$ |
$1$ |
$[1, 1, 0, -73341137, -330183240219]$ |
\(y^2+xy=x^3+x^2-73341137x-330183240219\) |
31620.2.0.? |
$[(88298943705910/28593, 825744084984872255503/28593)]$ |
$1$ |
| 490110.o1 |
490110o1 |
490110.o |
490110o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{3} \cdot 17 \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$31620$ |
$2$ |
$0$ |
$1.417522225$ |
$1$ |
|
$4$ |
$4561920$ |
$1.929083$ |
$-3949631721791911/2165833728000$ |
$1.05179$ |
$3.57805$ |
$1$ |
$[1, 1, 0, -102087, 17478261]$ |
\(y^2+xy=x^3+x^2-102087x+17478261\) |
31620.2.0.? |
$[(2942, 157249)]$ |
$1$ |
| 490110.p1 |
490110p1 |
490110.p |
490110p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 17^{3} \cdot 31^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$2.290272150$ |
$1$ |
|
$10$ |
$4032000$ |
$1.792454$ |
$206539848839/18111283200$ |
$0.98345$ |
$3.41952$ |
$1$ |
$[1, 1, 0, 11993, -6196811]$ |
\(y^2+xy=x^3+x^2+11993x-6196811\) |
68.2.0.a.1 |
$[(958, 29281), (183, 1381)]$ |
$1$ |
| 490110.q1 |
490110q1 |
490110.q |
490110q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{5} \cdot 17^{3} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5270$ |
$2$ |
$0$ |
$0.351137322$ |
$1$ |
|
$8$ |
$13824000$ |
$2.372299$ |
$-11301253512121/17134087500$ |
$0.88642$ |
$3.96464$ |
$1$ |
$[1, 1, 0, -449287, 220349329]$ |
\(y^2+xy=x^3+x^2-449287x+220349329\) |
5270.2.0.? |
$[(28, 14401)]$ |
$1$ |
| 490110.r1 |
490110r1 |
490110.r |
490110r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{12} \cdot 5^{5} \cdot 17^{5} \cdot 31^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5270$ |
$2$ |
$0$ |
$0.739805567$ |
$1$ |
|
$14$ |
$25190400$ |
$2.721889$ |
$9173548590448162409/37728511196850000$ |
$1.00845$ |
$4.25680$ |
$1$ |
$[1, 1, 0, 1351968, -1494657936]$ |
\(y^2+xy=x^3+x^2+1351968x-1494657936\) |
5270.2.0.? |
$[(2388, 122736), (64353, 16295601)]$ |
$1$ |
| 490110.s1 |
490110s2 |
490110.s |
490110s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{14} \cdot 5^{10} \cdot 17 \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$17.29161716$ |
$1$ |
|
$0$ |
$361267200$ |
$4.025024$ |
$18871663125873531191401/6104637855703125000$ |
$0.98634$ |
$5.48724$ |
$1$ |
$[1, 1, 0, -533030682, 3145405776876]$ |
\(y^2+xy=x^3+x^2-533030682x+3145405776876\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(877044751/146, 22132806033767/146)]$ |
$1$ |
| 490110.s2 |
490110s1 |
490110.s |
490110s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{5} \cdot 17^{2} \cdot 31^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$8.645808582$ |
$1$ |
|
$1$ |
$180633600$ |
$3.678452$ |
$106714890886921360919/116740996680600000$ |
$0.97320$ |
$5.09225$ |
$1$ |
$[1, 1, 0, 94963598, 336136164724]$ |
\(y^2+xy=x^3+x^2+94963598x+336136164724\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(152415/2, 61441919/2)]$ |
$1$ |
| 490110.t1 |
490110t1 |
490110.t |
490110t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 5 \cdot 17 \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$6.206216114$ |
$1$ |
|
$0$ |
$691200$ |
$0.877355$ |
$66392717639/285534720$ |
$0.89095$ |
$2.56809$ |
$1$ |
$[1, 1, 0, 833, -23099]$ |
\(y^2+xy=x^3+x^2+833x-23099\) |
680.2.0.? |
$[(1939/10, 18817/10)]$ |
$1$ |
| 490110.u1 |
490110u1 |
490110.u |
490110u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{3} \cdot 17 \cdot 31^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$63240$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$104993280$ |
$3.239277$ |
$-8170570879081/198288000$ |
$0.92531$ |
$4.89319$ |
$1$ |
$[1, 1, 0, -39268882, -96697435724]$ |
\(y^2+xy=x^3+x^2-39268882x-96697435724\) |
3.4.0.a.1, 93.8.0.?, 680.2.0.?, 2040.8.0.?, 63240.16.0.? |
$[ ]$ |
$1$ |
| 490110.u2 |
490110u2 |
490110.u |
490110u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{21} \cdot 3^{2} \cdot 5 \cdot 17^{3} \cdot 31^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$63240$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$314979840$ |
$3.788586$ |
$645783533089319/463648849920$ |
$0.97812$ |
$5.22358$ |
$1$ |
$[1, 1, 0, 168523343, -412998760619]$ |
\(y^2+xy=x^3+x^2+168523343x-412998760619\) |
3.4.0.a.1, 93.8.0.?, 680.2.0.?, 2040.8.0.?, 63240.16.0.? |
$[ ]$ |
$1$ |
| 490110.v1 |
490110v1 |
490110.v |
490110v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{14} \cdot 5 \cdot 17 \cdot 31^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$16.13450685$ |
$1$ |
|
$2$ |
$124992000$ |
$3.338486$ |
$-1009639969667617081/3252418920$ |
$0.96252$ |
$5.26072$ |
$1$ |
$[1, 1, 0, -198203867, 1073950127589]$ |
\(y^2+xy=x^3+x^2-198203867x+1073950127589\) |
680.2.0.? |
$[(9049, 142028), (6697259/29, 528147577/29)]$ |
$1$ |
| 490110.w1 |
490110w1 |
490110.w |
490110w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 5^{2} \cdot 17^{8} \cdot 31^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$7.381707474$ |
$1$ |
|
$8$ |
$3059804160$ |
$4.940308$ |
$-17314908540888569072648809/49990800256096665600$ |
$1.02044$ |
$6.53244$ |
$1$ |
$[1, 0, 1, -51112840119, 4458855244956826]$ |
\(y^2+xy+y=x^3-51112840119x+4458855244956826\) |
24.2.0.b.1 |
$[(2747819/2, 4331490951/2), (123188, 5576073)]$ |
$1$ |
| 490110.x1 |
490110x1 |
490110.x |
490110x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 5 \cdot 17^{5} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$340$ |
$2$ |
$0$ |
$0.605530866$ |
$1$ |
|
$16$ |
$1555200$ |
$1.231258$ |
$233773067111/20701515060$ |
$0.95001$ |
$2.90555$ |
$1$ |
$[1, 0, 1, 1266, -213788]$ |
\(y^2+xy+y=x^3+1266x-213788\) |
340.2.0.? |
$[(68, 399), (119, 1215)]$ |
$1$ |
| 490110.y1 |
490110y1 |
490110.y |
490110y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 17 \cdot 31^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$340$ |
$2$ |
$0$ |
$4.326938176$ |
$1$ |
|
$8$ |
$1036800$ |
$1.087736$ |
$-65749629769/783360$ |
$0.88569$ |
$2.95102$ |
$1$ |
$[1, 0, 1, -8189, -288808]$ |
\(y^2+xy+y=x^3-8189x-288808\) |
340.2.0.? |
$[(483, 10174), (204, 2455)]$ |
$1$ |
| 490110.z1 |
490110z1 |
490110.z |
490110z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{15} \cdot 3 \cdot 5^{4} \cdot 17^{4} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$9.473369949$ |
$1$ |
|
$0$ |
$4377600$ |
$1.690821$ |
$-59664787376089/5131530240000$ |
$0.98043$ |
$3.32732$ |
$1$ |
$[1, 0, 1, -8034, -3390668]$ |
\(y^2+xy+y=x^3-8034x-3390668\) |
24.2.0.b.1 |
$[(1101004/7, 1151412977/7)]$ |
$1$ |
| 490110.ba1 |
490110ba2 |
490110.ba |
490110ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{5} \cdot 17^{4} \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$16.41124000$ |
$1$ |
|
$0$ |
$384737280$ |
$4.048340$ |
$261824518994262912199/169130025000$ |
$0.99755$ |
$5.94702$ |
$1$ |
$[1, 0, 1, -3970519034, 96298007745332]$ |
\(y^2+xy+y=x^3-3970519034x+96298007745332\) |
2.3.0.a.1, 40.6.0.e.1, 124.6.0.?, 1240.12.0.? |
$[(1425229276/195, 2572142951741/195)]$ |
$1$ |
| 490110.ba2 |
490110ba1 |
490110.ba |
490110ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 17^{2} \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$8.205620001$ |
$1$ |
|
$1$ |
$192368640$ |
$3.701767$ |
$-62759620644912199/1625625000000$ |
$0.96311$ |
$5.31413$ |
$1$ |
$[1, 0, 1, -246644034, 1523899445332]$ |
\(y^2+xy+y=x^3-246644034x+1523899445332\) |
2.3.0.a.1, 40.6.0.e.1, 62.6.0.b.1, 1240.12.0.? |
$[(944404/15, 2524390612/15)]$ |
$1$ |
| 490110.bb1 |
490110bb2 |
490110.bb |
490110bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{6} \cdot 17 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$63240$ |
$12$ |
$0$ |
$37.90298658$ |
$1$ |
|
$0$ |
$12533760$ |
$2.459873$ |
$19562742049525849/148218750$ |
$0.97357$ |
$4.43555$ |
$1$ |
$[1, 0, 1, -5394594, -4823073074]$ |
\(y^2+xy+y=x^3-5394594x-4823073074\) |
2.3.0.a.1, 60.6.0.c.1, 4216.6.0.?, 63240.12.0.? |
$[(760577443784465971/10057542, 623085683905873721401555541/10057542)]$ |
$1$ |
| 490110.bb2 |
490110bb1 |
490110.bb |
490110bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{3} \cdot 17^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$63240$ |
$12$ |
$0$ |
$18.95149329$ |
$1$ |
|
$1$ |
$6266880$ |
$2.113300$ |
$-4483146738169/416593500$ |
$0.86070$ |
$3.80726$ |
$1$ |
$[1, 0, 1, -330124, -78677578]$ |
\(y^2+xy+y=x^3-330124x-78677578\) |
2.3.0.a.1, 30.6.0.a.1, 4216.6.0.?, 63240.12.0.? |
$[(3735180003/2134, 134302733228233/2134)]$ |
$1$ |
| 490110.bc1 |
490110bc2 |
490110.bc |
490110bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{9} \cdot 3^{14} \cdot 5^{2} \cdot 17 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$8.030240554$ |
$1$ |
|
$0$ |
$60963840$ |
$3.059593$ |
$10901014250685308569/1040774054400$ |
$1.02506$ |
$4.91814$ |
$1$ |
$[1, 0, 1, -44391974, -113836904584]$ |
\(y^2+xy+y=x^3-44391974x-113836904584\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(437796/7, 152925709/7)]$ |
$1$ |
| 490110.bc2 |
490110bc1 |
490110.bc |
490110bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 5 \cdot 17^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$4.015120277$ |
$1$ |
|
$3$ |
$30481920$ |
$2.713020$ |
$-2113364608155289/828431400960$ |
$0.99736$ |
$4.30519$ |
$1$ |
$[1, 0, 1, -2569254, -2053138568]$ |
\(y^2+xy+y=x^3-2569254x-2053138568\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(3428, 169824)]$ |
$1$ |
| 490110.bd1 |
490110bd1 |
490110.bd |
490110bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 17 \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$354263040$ |
$4.008659$ |
$43694078187574391/6971062500000000$ |
$1.01557$ |
$5.44966$ |
$1$ |
$[1, 0, 1, 69587431, 3703104660476]$ |
\(y^2+xy+y=x^3+69587431x+3703104660476\) |
68.2.0.a.1 |
$[ ]$ |
$1$ |
| 490110.be1 |
490110be1 |
490110.be |
490110be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 17^{3} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.650633715$ |
$1$ |
|
$2$ |
$54282240$ |
$2.863003$ |
$-28741482344281/3979530000$ |
$0.95984$ |
$4.47825$ |
$1$ |
$[1, 0, 1, -6051918, -6379737392]$ |
\(y^2+xy+y=x^3-6051918x-6379737392\) |
68.2.0.a.1 |
$[(8729, 774045)]$ |
$1$ |
| 490110.bf1 |
490110bf1 |
490110.bf |
490110bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 17 \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.710212882$ |
$1$ |
|
$2$ |
$10713600$ |
$2.318203$ |
$16413728999/9562500$ |
$0.91823$ |
$3.89191$ |
$1$ |
$[1, 0, 1, 502102, 11266256]$ |
\(y^2+xy+y=x^3+502102x+11266256\) |
68.2.0.a.1 |
$[(80, 7167)]$ |
$1$ |
| 490110.bg1 |
490110bg1 |
490110.bg |
490110bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{22} \cdot 3^{5} \cdot 5^{3} \cdot 17 \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$31620$ |
$2$ |
$0$ |
$5.444669224$ |
$1$ |
|
$0$ |
$141419520$ |
$3.646076$ |
$-3949631721791911/2165833728000$ |
$1.05179$ |
$5.15058$ |
$1$ |
$[1, 0, 1, -98106108, -521970250694]$ |
\(y^2+xy+y=x^3-98106108x-521970250694\) |
31620.2.0.? |
$[(1655881/5, 2100773131/5)]$ |
$1$ |
| 490110.bh1 |
490110bh1 |
490110.bh |
490110bh |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 17^{3} \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$6.428282532$ |
$1$ |
|
$2$ |
$124992000$ |
$3.509449$ |
$206539848839/18111283200$ |
$0.98345$ |
$4.99205$ |
$1$ |
$[1, 0, 1, 11524772, 184759020698]$ |
\(y^2+xy+y=x^3+11524772x+184759020698\) |
68.2.0.a.1 |
$[(834, 441115)]$ |
$1$ |
| 490110.bi1 |
490110bi4 |
490110.bi |
490110bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{12} \cdot 17 \cdot 31^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$63240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$383385600$ |
$4.090904$ |
$32572399962308635128601/14902598636718750000$ |
$0.99526$ |
$5.52889$ |
$2$ |
$[1, 0, 1, -639389358, -2847700044944]$ |
\(y^2+xy+y=x^3-639389358x-2847700044944\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 124.12.0.?, 204.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 490110.bi2 |
490110bi2 |
490110.bi |
490110bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 17^{2} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$191692800$ |
$3.744328$ |
$4152444961128795872281/65598478884000000$ |
$0.97344$ |
$5.37169$ |
$1$ |
$[1, 0, 1, -321798078, 2191330240048]$ |
\(y^2+xy+y=x^3-321798078x+2191330240048\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 124.12.0.?, 204.12.0.?, 620.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 490110.bi3 |
490110bi1 |
490110.bi |
490110bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{3} \cdot 17 \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$63240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$95846400$ |
$3.397755$ |
$4105008323938620558361/1049075712000$ |
$0.97313$ |
$5.37081$ |
$2$ |
$[1, 0, 1, -320567998, 2209138846256]$ |
\(y^2+xy+y=x^3-320567998x+2209138846256\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 248.12.0.?, 408.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 490110.bi4 |
490110bi3 |
490110.bi |
490110bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{20} \cdot 5^{3} \cdot 17^{4} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$63240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$383385600$ |
$4.090904$ |
$-1698623579042432281/18055622637267102000$ |
$1.04514$ |
$5.52561$ |
$2$ |
$[1, 0, 1, -23888078, 6090614648048]$ |
\(y^2+xy+y=x^3-23888078x+6090614648048\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 124.12.0.?, 310.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 490110.bj1 |
490110bj1 |
490110.bj |
490110bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{5} \cdot 17^{2} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$0.264971506$ |
$1$ |
|
$6$ |
$22579200$ |
$2.640850$ |
$35933733098999/489833325000$ |
$0.92306$ |
$4.19256$ |
$1$ |
$[1, 0, 1, 660667, 981684056]$ |
\(y^2+xy+y=x^3+660667x+981684056\) |
3720.2.0.? |
$[(390, 35842)]$ |
$1$ |
