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 |
493680.a1 |
493680a1 |
493680.a |
493680a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5^{5} \cdot 11^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$5.892490378$ |
$1$ |
|
$0$ |
$57784320$ |
$2.885475$ |
$-531244194299/736950000$ |
$[0, -1, 0, -3593256, -4830892944]$ |
\(y^2=x^3-x^2-3593256x-4830892944\) |
11220.2.0.? |
$[(143474/5, 50548718/5)]$ |
493680.b1 |
493680b1 |
493680.b |
493680b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 5^{4} \cdot 11^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$2.352811995$ |
$1$ |
|
$15$ |
$1179648$ |
$1.059446$ |
$21035785676/541875$ |
$[0, -1, 0, -6376, -189440]$ |
\(y^2=x^3-x^2-6376x-189440\) |
2.3.0.a.1, 66.6.0.a.1, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(-42, 50), (158, 1650)]$ |
493680.b2 |
493680b2 |
493680.b |
493680b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{8} \cdot 11^{3} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$9.411247983$ |
$1$ |
|
$9$ |
$2359296$ |
$1.406021$ |
$54541802/59765625$ |
$[0, -1, 0, 1104, -614304]$ |
\(y^2=x^3-x^2+1104x-614304\) |
2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(114, 990), (378, 7326)]$ |
493680.c1 |
493680c2 |
493680.c |
493680c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{2} \cdot 5 \cdot 11^{3} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$1.020067757$ |
$1$ |
|
$5$ |
$4055040$ |
$1.735065$ |
$4110609334859/1086190605$ |
$[0, -1, 0, -58736, 4058496]$ |
\(y^2=x^3-x^2-58736x+4058496\) |
2.3.0.a.1, 220.6.0.?, 1020.6.0.?, 2244.6.0.?, 11220.12.0.? |
$[(18, 1734)]$ |
493680.c2 |
493680c1 |
493680.c |
493680c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$0.510033878$ |
$1$ |
|
$9$ |
$2027520$ |
$1.388493$ |
$3254293315259/368475$ |
$[0, -1, 0, -54336, 4892736]$ |
\(y^2=x^3-x^2-54336x+4892736\) |
2.3.0.a.1, 220.6.0.?, 1020.6.0.?, 1122.6.0.?, 11220.12.0.? |
$[(26, 1870)]$ |
493680.d1 |
493680d4 |
493680.d |
493680d |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 5^{6} \cdot 11^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$238878720$ |
$3.869747$ |
$628200507126935410849/88124751829125000$ |
$[0, -1, 0, -345432776, -2150742622224]$ |
\(y^2=x^3-x^2-345432776x-2150742622224\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.8, 132.24.0.?, $\ldots$ |
$[]$ |
493680.d2 |
493680d2 |
493680.d |
493680d |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{21} \cdot 3^{12} \cdot 5^{2} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$79626240$ |
$3.320442$ |
$10476561483361670689/13992628953600$ |
$[0, -1, 0, -88254536, 318780691440]$ |
\(y^2=x^3-x^2-88254536x+318780691440\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.12, 132.24.0.?, $\ldots$ |
$[]$ |
493680.d3 |
493680d1 |
493680.d |
493680d |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{30} \cdot 3^{6} \cdot 5 \cdot 11^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$39813120$ |
$2.973866$ |
$-975276594443809/3037581803520$ |
$[0, -1, 0, -3999816, 7779668976]$ |
\(y^2=x^3-x^2-3999816x+7779668976\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.1, 110.6.0.?, $\ldots$ |
$[]$ |
493680.d4 |
493680d3 |
493680.d |
493680d |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{3} \cdot 11^{9} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$119439360$ |
$3.523174$ |
$655127711084516831/2313151512408000$ |
$[0, -1, 0, 35029944, -180250102800]$ |
\(y^2=x^3-x^2+35029944x-180250102800\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.3, 110.6.0.?, $\ldots$ |
$[]$ |
493680.e1 |
493680e3 |
493680.e |
493680e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{12} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$6.246566931$ |
$1$ |
|
$3$ |
$309657600$ |
$3.965309$ |
$1059623036730633329075378/154307373046875$ |
$[0, -1, 0, -3263657536, 71764805772640]$ |
\(y^2=x^3-x^2-3263657536x+71764805772640\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 88.12.0.?, $\ldots$ |
$[(282993, 147687500)]$ |
493680.e2 |
493680e4 |
493680.e |
493680e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{11} \cdot 3^{28} \cdot 5^{3} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$6.246566931$ |
$4$ |
$2$ |
$3$ |
$309657600$ |
$3.965309$ |
$1664865424893526702418/826424127435466125$ |
$[0, -1, 0, -379414416, -1072687188384]$ |
\(y^2=x^3-x^2-379414416x-1072687188384\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 88.12.0.?, $\ldots$ |
$[(-15935, 962676)]$ |
493680.e3 |
493680e2 |
493680.e |
493680e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$3.123283465$ |
$1$ |
|
$9$ |
$154828800$ |
$3.618736$ |
$521902963282042184836/6241849278890625$ |
$[0, -1, 0, -204569416, 1114553823616]$ |
\(y^2=x^3-x^2-204569416x+1114553823616\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 88.12.0.?, $\ldots$ |
$[(7440, 65824)]$ |
493680.e4 |
493680e1 |
493680.e |
493680e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{3} \cdot 11^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$6.246566931$ |
$1$ |
|
$3$ |
$77414400$ |
$3.272163$ |
$-3579968623693264/1906997690433375$ |
$[0, -1, 0, -2448596, 44768747520]$ |
\(y^2=x^3-x^2-2448596x+44768747520\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[(70204, 18597728)]$ |
493680.f1 |
493680f3 |
493680.f |
493680f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{17} \cdot 3^{2} \cdot 5 \cdot 11^{7} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$1.552554421$ |
$1$ |
|
$5$ |
$58982400$ |
$3.174786$ |
$66692696957462376289/1322972640$ |
$[0, -1, 0, -163564936, 805216798960]$ |
\(y^2=x^3-x^2-163564936x+805216798960\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[(7924, 81312)]$ |
493680.f2 |
493680f4 |
493680.f |
493680f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{17} \cdot 3^{8} \cdot 5^{4} \cdot 11^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$6.210217684$ |
$1$ |
|
$3$ |
$58982400$ |
$3.174786$ |
$56751044592329569/32660264340000$ |
$[0, -1, 0, -15499656, -1742198544]$ |
\(y^2=x^3-x^2-15499656x-1742198544\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[(-2654, 143850)]$ |
493680.f3 |
493680f2 |
493680.f |
493680f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{2} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7480$ |
$48$ |
$0$ |
$3.105108842$ |
$1$ |
|
$9$ |
$29491200$ |
$2.828213$ |
$16334668434139489/72511718400$ |
$[0, -1, 0, -10233736, 12555827440]$ |
\(y^2=x^3-x^2-10233736x+12555827440\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 88.12.0.?, 136.12.0.?, 440.24.0.?, $\ldots$ |
$[(1698, 8470)]$ |
493680.f4 |
493680f1 |
493680.f |
493680f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{32} \cdot 3^{2} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7480$ |
$48$ |
$0$ |
$6.210217684$ |
$1$ |
|
$3$ |
$14745600$ |
$2.481640$ |
$-506071034209/8823767040$ |
$[0, -1, 0, -321416, 391428336]$ |
\(y^2=x^3-x^2-321416x+391428336\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[(5053, 357434)]$ |
493680.g1 |
493680g2 |
493680.g |
493680g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{22} \cdot 3^{6} \cdot 5^{3} \cdot 11^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$84.78185332$ |
$1$ |
|
$1$ |
$547430400$ |
$4.234612$ |
$35185850652034529726579/26967168000$ |
$[0, -1, 0, -14538272976, -674705456792640]$ |
\(y^2=x^3-x^2-14538272976x-674705456792640\) |
2.3.0.a.1, 220.6.0.?, 1020.6.0.?, 2244.6.0.?, 11220.12.0.? |
$[(-1177645580108054239603066982182910200310/130066134966164177, 822169684996561391322213529873302645206586074205153690/130066134966164177)]$ |
493680.g2 |
493680g1 |
493680.g |
493680g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{32} \cdot 3^{3} \cdot 5^{6} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$42.39092666$ |
$1$ |
|
$1$ |
$273715200$ |
$3.888039$ |
$8595711443128766579/7520256000000$ |
$[0, -1, 0, -908832976, -10537393816640]$ |
\(y^2=x^3-x^2-908832976x-10537393816640\) |
2.3.0.a.1, 220.6.0.?, 1020.6.0.?, 1122.6.0.?, 11220.12.0.? |
$[(-891662617761890890440/227106011, 998127324618209128026885201920/227106011)]$ |
493680.h1 |
493680h1 |
493680.h |
493680h |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{46} \cdot 3^{9} \cdot 5 \cdot 11^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$211507200$ |
$3.935760$ |
$-85944135790429956649/316171526414008320$ |
$[0, -1, 0, -177992976, -2479085734464]$ |
\(y^2=x^3-x^2-177992976x-2479085734464\) |
11220.2.0.? |
$[]$ |
493680.i1 |
493680i1 |
493680.i |
493680i |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{13} \cdot 5 \cdot 11^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$9.187495920$ |
$1$ |
|
$0$ |
$2970240$ |
$1.721304$ |
$-951468070144/135517455$ |
$[0, -1, 0, -62476, 6730495]$ |
\(y^2=x^3-x^2-62476x+6730495\) |
510.2.0.? |
$[(8439/7, 351359/7)]$ |
493680.j1 |
493680j1 |
493680.j |
493680j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{5} \cdot 11^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2040$ |
$2$ |
$0$ |
$67.10598513$ |
$1$ |
|
$0$ |
$75271680$ |
$3.350559$ |
$-1633085171359609/734400000$ |
$[0, -1, 0, -116195856, -482245153344]$ |
\(y^2=x^3-x^2-116195856x-482245153344\) |
2040.2.0.? |
$[(1906856745055517585821396718936/10922386243895, 1720727693899043225724653031064690827831488384/10922386243895)]$ |
493680.k1 |
493680k1 |
493680.k |
493680k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 5^{7} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$15.41234455$ |
$1$ |
|
$0$ |
$40642560$ |
$2.882854$ |
$-2596717791529849/718080000000$ |
$[0, -1, 0, -5543776, -6105770240]$ |
\(y^2=x^3-x^2-5543776x-6105770240\) |
11220.2.0.? |
$[(149304666/185, 1453685522014/185)]$ |
493680.l1 |
493680l2 |
493680.l |
493680l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{3} \cdot 5^{6} \cdot 11^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21897216$ |
$2.824711$ |
$1601202365099/243843750$ |
$[0, -1, 0, -5190456, -3905283600]$ |
\(y^2=x^3-x^2-5190456x-3905283600\) |
2.3.0.a.1, 264.6.0.?, 2040.6.0.?, 3740.6.0.?, 22440.12.0.? |
$[]$ |
493680.l2 |
493680l1 |
493680.l |
493680l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{3} \cdot 11^{9} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10948608$ |
$2.478138$ |
$2005142581/6196500$ |
$[0, -1, 0, 559464, -335733264]$ |
\(y^2=x^3-x^2+559464x-335733264\) |
2.3.0.a.1, 264.6.0.?, 1870.6.0.?, 2040.6.0.?, 22440.12.0.? |
$[]$ |
493680.m1 |
493680m2 |
493680.m |
493680m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{19} \cdot 3 \cdot 5^{2} \cdot 11^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7741440$ |
$2.162853$ |
$400951397082419/231720662400$ |
$[0, -1, 0, -270376, -1892240]$ |
\(y^2=x^3-x^2-270376x-1892240\) |
2.3.0.a.1, 264.6.0.?, 2040.6.0.?, 3740.6.0.?, 22440.12.0.? |
$[]$ |
493680.m2 |
493680m1 |
493680.m |
493680m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3^{2} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3870720$ |
$1.816278$ |
$6250857632461/3622256640$ |
$[0, -1, 0, 67544, -270224]$ |
\(y^2=x^3-x^2+67544x-270224\) |
2.3.0.a.1, 264.6.0.?, 1870.6.0.?, 2040.6.0.?, 22440.12.0.? |
$[]$ |
493680.n1 |
493680n2 |
493680.n |
493680n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{11} \cdot 3 \cdot 5^{2} \cdot 11^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4595712$ |
$1.963600$ |
$53461798/21675$ |
$[0, -1, 0, -132656, 10220256]$ |
\(y^2=x^3-x^2-132656x+10220256\) |
2.3.0.a.1, 264.6.0.?, 2040.6.0.?, 3740.6.0.?, 22440.12.0.? |
$[]$ |
493680.n2 |
493680n1 |
493680.n |
493680n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 11^{9} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2297856$ |
$1.617027$ |
$907924/765$ |
$[0, -1, 0, 27064, 1148160]$ |
\(y^2=x^3-x^2+27064x+1148160\) |
2.3.0.a.1, 264.6.0.?, 1870.6.0.?, 2040.6.0.?, 22440.12.0.? |
$[]$ |
493680.o1 |
493680o1 |
493680.o |
493680o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$4.615944628$ |
$1$ |
|
$2$ |
$2115072$ |
$1.592382$ |
$-55025549689/16730550$ |
$[0, -1, 0, -31016, -2586384]$ |
\(y^2=x^3-x^2-31016x-2586384\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 408.16.0.? |
$[(346, 5290)]$ |
493680.o2 |
493680o2 |
493680.o |
493680o |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{6} \cdot 11^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.538648209$ |
$1$ |
|
$4$ |
$6345216$ |
$2.141689$ |
$22538336092151/16581375000$ |
$[0, -1, 0, 230344, 22086000]$ |
\(y^2=x^3-x^2+230344x+22086000\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 408.16.0.? |
$[(-62, 2750)]$ |
493680.p1 |
493680p2 |
493680.p |
493680p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$3.571537353$ |
$1$ |
|
$1$ |
$2304000$ |
$1.451023$ |
$9115564624/143055$ |
$[0, -1, 0, -33436, -2310020]$ |
\(y^2=x^3-x^2-33436x-2310020\) |
2.3.0.a.1, 204.6.0.?, 220.6.0.?, 11220.12.0.? |
$[(-899/3, 4114/3)]$ |
493680.p2 |
493680p1 |
493680.p |
493680p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$11220$ |
$12$ |
$0$ |
$7.143074707$ |
$1$ |
|
$1$ |
$1152000$ |
$1.104450$ |
$-16384/154275$ |
$[0, -1, 0, -161, -100560]$ |
\(y^2=x^3-x^2-161x-100560\) |
2.3.0.a.1, 102.6.0.?, 220.6.0.?, 11220.12.0.? |
$[(41881/12, 8530379/12)]$ |
493680.q1 |
493680q2 |
493680.q |
493680q |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 5^{9} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$15.40468475$ |
$1$ |
|
$0$ |
$14929920$ |
$2.475220$ |
$-2675089395664/132580078125$ |
$[0, -1, 0, -222196, -375172004]$ |
\(y^2=x^3-x^2-222196x-375172004\) |
3.4.0.a.1, 132.8.0.?, 510.8.0.?, 11220.16.0.? |
$[(319760269/111, 5716787776370/111)]$ |
493680.q2 |
493680q1 |
493680.q |
493680q |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$5.134894919$ |
$1$ |
|
$0$ |
$4976640$ |
$1.925911$ |
$3649586096/182395125$ |
$[0, -1, 0, 24644, 13749100]$ |
\(y^2=x^3-x^2+24644x+13749100\) |
3.4.0.a.1, 132.8.0.?, 510.8.0.?, 11220.16.0.? |
$[(-371/3, 96074/3)]$ |
493680.r1 |
493680r1 |
493680.r |
493680r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 11^{6} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7996800$ |
$2.335609$ |
$64347918907136/388153407375$ |
$[0, -1, 0, 254544, 151654131]$ |
\(y^2=x^3-x^2+254544x+151654131\) |
510.2.0.? |
$[]$ |
493680.s1 |
493680s1 |
493680.s |
493680s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{9} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7741440$ |
$2.193501$ |
$-6874064715655619/72615234375$ |
$[0, -1, 0, -697176, 226326960]$ |
\(y^2=x^3-x^2-697176x+226326960\) |
11220.2.0.? |
$[]$ |
493680.t1 |
493680t1 |
493680.t |
493680t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{16} \cdot 5^{2} \cdot 11^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$101376000$ |
$3.619415$ |
$4742986881028096/5287213506825$ |
$[0, -1, 0, 74543099, -238437685715]$ |
\(y^2=x^3-x^2+74543099x-238437685715\) |
374.2.0.? |
$[]$ |
493680.u1 |
493680u1 |
493680.u |
493680u |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$2.082164375$ |
$1$ |
|
$0$ |
$14929920$ |
$2.659775$ |
$-724731558068224/24623341875$ |
$[0, -1, 0, -3622901, 2732205885]$ |
\(y^2=x^3-x^2-3622901x+2732205885\) |
3.4.0.a.1, 132.8.0.?, 204.8.0.?, 374.2.0.?, 1122.8.0.?, $\ldots$ |
$[(4757/2, 81675/2)]$ |
493680.u2 |
493680u2 |
493680.u |
493680u |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$6.246493125$ |
$1$ |
|
$0$ |
$44789760$ |
$3.209080$ |
$76363175346569216/49717529296875$ |
$[0, -1, 0, 17111659, 9628520541]$ |
\(y^2=x^3-x^2+17111659x+9628520541\) |
3.4.0.a.1, 132.8.0.?, 204.8.0.?, 374.2.0.?, 1122.8.0.?, $\ldots$ |
$[(2004509/38, 10419234375/38)]$ |
493680.v1 |
493680v1 |
493680.v |
493680v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{13} \cdot 5 \cdot 11^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2040$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3095040$ |
$1.826754$ |
$-18564170960258/135517455$ |
$[0, -1, 0, -171376, 27535840]$ |
\(y^2=x^3-x^2-171376x+27535840\) |
2040.2.0.? |
$[]$ |
493680.w1 |
493680w2 |
493680.w |
493680w |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{21} \cdot 3 \cdot 5^{3} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$74.33541861$ |
$1$ |
|
$0$ |
$391910400$ |
$4.188873$ |
$-180093466903641160790448289/4344384000$ |
$[0, -1, 0, -22777012936, -1323094225934864]$ |
\(y^2=x^3-x^2-22777012936x-1323094225934864\) |
3.4.0.a.1, 132.8.0.?, 2040.8.0.?, 22440.16.0.? |
$[(37848976403049483717828193304313236/164281507391587, 7318906540954263051203052994793653508864648826023040/164281507391587)]$ |
493680.w2 |
493680w1 |
493680.w |
493680w |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{39} \cdot 3^{3} \cdot 5 \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$24.77847287$ |
$1$ |
|
$0$ |
$130636800$ |
$3.639565$ |
$-338173143620095981729/979226371031040$ |
$[0, -1, 0, -281002696, -1817503619600]$ |
\(y^2=x^3-x^2-281002696x-1817503619600\) |
3.4.0.a.1, 132.8.0.?, 2040.8.0.?, 22440.16.0.? |
$[(271371461128244/13927, 4470074751585794064384/13927)]$ |
493680.x1 |
493680x1 |
493680.x |
493680x |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \cdot 11^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$388800$ |
$0.767830$ |
$-1755904/2295$ |
$[0, -1, 0, -766, 14995]$ |
\(y^2=x^3-x^2-766x+14995\) |
3.4.0.a.1, 132.8.0.?, 510.8.0.?, 11220.16.0.? |
$[]$ |
493680.x2 |
493680x2 |
493680.x |
493680x |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 11^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1166400$ |
$1.317137$ |
$1068359936/1842375$ |
$[0, -1, 0, 6494, -285569]$ |
\(y^2=x^3-x^2+6494x-285569\) |
3.4.0.a.1, 132.8.0.?, 510.8.0.?, 11220.16.0.? |
$[]$ |
493680.y1 |
493680y1 |
493680.y |
493680y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 11^{9} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$6.457510218$ |
$1$ |
|
$4$ |
$8921088$ |
$2.291191$ |
$-144814859264/2788425$ |
$[0, -1, 0, -924601, 348154501]$ |
\(y^2=x^3-x^2-924601x+348154501\) |
374.2.0.? |
$[(2380, 107811), (436, 5265)]$ |
493680.z1 |
493680z1 |
493680.z |
493680z |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$11220$ |
$2$ |
$0$ |
$10.38407193$ |
$1$ |
|
$0$ |
$6912000$ |
$2.160339$ |
$895036383644/687295125$ |
$[0, -1, 0, 244864, -26747664]$ |
\(y^2=x^3-x^2+244864x-26747664\) |
11220.2.0.? |
$[(637462/17, 520875718/17)]$ |
493680.ba1 |
493680ba1 |
493680.ba |
493680ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{4} \cdot 11^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$4.329674273$ |
$1$ |
|
$5$ |
$23224320$ |
$2.757473$ |
$68001744211490809/1022422500$ |
$[0, -1, 0, -16462816, 25715286016]$ |
\(y^2=x^3-x^2-16462816x+25715286016\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(2304, 3200)]$ |
493680.ba2 |
493680ba2 |
493680.ba |
493680ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{13} \cdot 3^{14} \cdot 5^{2} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$2.164837136$ |
$1$ |
|
$7$ |
$46448640$ |
$3.104046$ |
$-62178675647294809/8362782148050$ |
$[0, -1, 0, -15978816, 27297772416]$ |
\(y^2=x^3-x^2-15978816x+27297772416\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(-2614, 226270)]$ |
493680.bb1 |
493680bb4 |
493680.bb |
493680bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{4} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$2.791334938$ |
$1$ |
|
$5$ |
$3932160$ |
$1.967470$ |
$711882749089/1721250$ |
$[0, -1, 0, -360136, -82891664]$ |
\(y^2=x^3-x^2-360136x-82891664\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[(-334, 150)]$ |