| 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 |
| 3330.a1 |
3330a1 |
3330.a |
3330a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{4} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.863831805$ |
$1$ |
|
$4$ |
$2688$ |
$0.754521$ |
$4516672077/2960000$ |
$0.97325$ |
$3.96001$ |
$[1, -1, 0, 930, -4204]$ |
\(y^2+xy=x^3-x^2+930x-4204\) |
888.2.0.? |
$[(43, 316)]$ |
| 3330.b1 |
3330e1 |
3330.b |
3330e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2688$ |
$0.629202$ |
$-243087455521/5328000$ |
$1.07121$ |
$4.04964$ |
$[1, -1, 0, -1170, -15404]$ |
\(y^2+xy=x^3-x^2-1170x-15404\) |
1480.2.0.? |
$[]$ |
| 3330.c1 |
3330f3 |
3330.c |
3330f |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$8880$ |
$192$ |
$1$ |
$10.18135170$ |
$1$ |
|
$0$ |
$55296$ |
$2.156124$ |
$4385367890843575421521/24975000000$ |
$1.09028$ |
$6.95674$ |
$[1, -1, 0, -3069045, -2068673675]$ |
\(y^2+xy=x^3-x^2-3069045x-2068673675\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 24.48.0-24.by.1.7, $\ldots$ |
$[(610605/7, 469986320/7)]$ |
| 3330.c2 |
3330f5 |
3330.c |
3330f |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{3} \cdot 3^{30} \cdot 5 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$8880$ |
$192$ |
$1$ |
$5.090675851$ |
$1$ |
|
$2$ |
$110592$ |
$2.502697$ |
$3080272010107543650001/15465841417699560$ |
$1.06879$ |
$6.91319$ |
$[1, -1, 0, -2728125, 1727522941]$ |
\(y^2+xy=x^3-x^2-2728125x+1727522941\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.5, $\ldots$ |
$[(1311, 19417)]$ |
| 3330.c3 |
3330f4 |
3330.c |
3330f |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$4440$ |
$192$ |
$1$ |
$2.545337925$ |
$1$ |
|
$6$ |
$55296$ |
$2.156124$ |
$2788936974993502801/1593609593601600$ |
$1.18942$ |
$6.04926$ |
$[1, -1, 0, -263925, -5795339]$ |
\(y^2+xy=x^3-x^2-263925x-5795339\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.1, 24.48.0-24.h.2.2, $\ldots$ |
$[(-169, 5912)]$ |
| 3330.c4 |
3330f2 |
3330.c |
3330f |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$4440$ |
$192$ |
$1$ |
$5.090675851$ |
$1$ |
|
$4$ |
$27648$ |
$1.809551$ |
$1072487167529950801/2554882560000$ |
$1.07073$ |
$5.93143$ |
$[1, -1, 0, -191925, -32248139]$ |
\(y^2+xy=x^3-x^2-191925x-32248139\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.3, 24.48.0-24.h.1.2, $\ldots$ |
$[(12413, 1375856)]$ |
| 3330.c5 |
3330f1 |
3330.c |
3330f |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$8880$ |
$192$ |
$1$ |
$2.545337925$ |
$1$ |
|
$5$ |
$13824$ |
$1.462978$ |
$-66730743078481/419010969600$ |
$0.98647$ |
$5.04218$ |
$[1, -1, 0, -7605, -876875]$ |
\(y^2+xy=x^3-x^2-7605x-876875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.6, $\ldots$ |
$[(125, 275)]$ |
| 3330.c6 |
3330f6 |
3330.c |
3330f |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{3} \cdot 3^{12} \cdot 5 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$8880$ |
$192$ |
$1$ |
$5.090675851$ |
$1$ |
|
$0$ |
$110592$ |
$2.502697$ |
$174751791402194852399/102423900876336360$ |
$1.06750$ |
$6.55941$ |
$[1, -1, 0, 1048275, -46998419]$ |
\(y^2+xy=x^3-x^2+1048275x-46998419\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 24.48.0-24.by.2.15, $\ldots$ |
$[(17889/5, 4042427/5)]$ |
| 3330.d1 |
3330g3 |
3330.d |
3330g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 37^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.8.0.1 |
2B, 3B.1.1 |
$4440$ |
$384$ |
$9$ |
$6.825717276$ |
$1$ |
|
$5$ |
$6912$ |
$1.192814$ |
$16232905099479601/4052240$ |
$0.97924$ |
$5.41474$ |
$[1, -1, 0, -47475, 3993381]$ |
\(y^2+xy=x^3-x^2-47475x+3993381\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 12.48.0-12.f.1.8, $\ldots$ |
$[(6850/7, 69287/7)]$ |
| 3330.d2 |
3330g4 |
3330.d |
3330g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 37^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.8.0.1 |
2B, 3B.1.1 |
$4440$ |
$384$ |
$9$ |
$3.412858638$ |
$1$ |
|
$8$ |
$13824$ |
$1.539387$ |
$-16048965315233521/256572640900$ |
$0.97955$ |
$5.41670$ |
$[1, -1, 0, -47295, 4025025]$ |
\(y^2+xy=x^3-x^2-47295x+4025025\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 12.96.0-12.b.2.5, $\ldots$ |
$[(300, 3945)]$ |
| 3330.d3 |
3330g1 |
3330.d |
3330g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.8.0.2 |
2B, 3B.1.2 |
$4440$ |
$384$ |
$9$ |
$2.275239092$ |
$1$ |
|
$5$ |
$2304$ |
$0.643508$ |
$46694890801/18944000$ |
$0.91392$ |
$3.84165$ |
$[1, -1, 0, -675, 3861]$ |
\(y^2+xy=x^3-x^2-675x+3861\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 12.48.0-12.f.1.6, $\ldots$ |
$[(-3, 78)]$ |
| 3330.d4 |
3330g2 |
3330.d |
3330g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.8.0.2 |
2B, 3B.1.2 |
$4440$ |
$384$ |
$9$ |
$1.137619546$ |
$1$ |
|
$6$ |
$4608$ |
$0.990082$ |
$1625964918479/1369000000$ |
$0.94818$ |
$4.27937$ |
$[1, -1, 0, 2205, 26325]$ |
\(y^2+xy=x^3-x^2+2205x+26325\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 12.96.0-12.b.1.7, $\ldots$ |
$[(-2, 149)]$ |
| 3330.e1 |
3330h1 |
3330.e |
3330h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.414237448$ |
$1$ |
|
$4$ |
$3456$ |
$0.798629$ |
$-71581931663761/199800$ |
$0.94955$ |
$4.74600$ |
$[1, -1, 0, -7785, 266341]$ |
\(y^2+xy=x^3-x^2-7785x+266341\) |
888.2.0.? |
$[(53, -4)]$ |
| 3330.f1 |
3330j1 |
3330.f |
3330j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.941396702$ |
$1$ |
|
$4$ |
$8064$ |
$0.987014$ |
$-2454365649169/1035763200$ |
$0.93614$ |
$4.39766$ |
$[1, -1, 0, -2529, -63747]$ |
\(y^2+xy=x^3-x^2-2529x-63747\) |
888.2.0.? |
$[(87, 564)]$ |
| 3330.g1 |
3330d1 |
3330.g |
3330d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{4} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.214967152$ |
$1$ |
|
$8$ |
$51840$ |
$2.173298$ |
$-991990479802737267/22190066240000$ |
$1.01226$ |
$6.33284$ |
$[1, -1, 0, -560994, 164964500]$ |
\(y^2+xy=x^3-x^2-560994x+164964500\) |
888.2.0.? |
$[(481, 2257)]$ |
| 3330.h1 |
3330k2 |
3330.h |
3330k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{9} \cdot 37^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$190080$ |
$2.964039$ |
$-44164307457093068844199489/1823508000000000$ |
$1.05033$ |
$8.09319$ |
$[1, -1, 0, -66276324, 207692300880]$ |
\(y^2+xy=x^3-x^2-66276324x+207692300880\) |
3.8.0-3.a.1.2, 1480.2.0.?, 4440.16.0.? |
$[]$ |
| 3330.h2 |
3330k1 |
3330.h |
3330k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{33} \cdot 3^{12} \cdot 5^{3} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63360$ |
$2.414734$ |
$-64144540676215729729/28962038218752000$ |
$1.01937$ |
$6.50695$ |
$[1, -1, 0, -750564, 334125648]$ |
\(y^2+xy=x^3-x^2-750564x+334125648\) |
3.8.0-3.a.1.1, 1480.2.0.?, 4440.16.0.? |
$[]$ |
| 3330.i1 |
3330c2 |
3330.i |
3330c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$4.886493116$ |
$1$ |
|
$2$ |
$3456$ |
$0.802516$ |
$1062144635427/54760$ |
$0.92960$ |
$4.63322$ |
$[1, -1, 0, -5739, -165907]$ |
\(y^2+xy=x^3-x^2-5739x-165907\) |
2.3.0.a.1, 120.6.0.?, 444.6.0.?, 1480.6.0.?, 4440.12.0.? |
$[(89, 105)]$ |
| 3330.i2 |
3330c1 |
3330.i |
3330c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$2.443246558$ |
$1$ |
|
$5$ |
$1728$ |
$0.455943$ |
$-219256227/59200$ |
$0.84143$ |
$3.63422$ |
$[1, -1, 0, -339, -2827]$ |
\(y^2+xy=x^3-x^2-339x-2827\) |
2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.? |
$[(49, 286)]$ |
| 3330.j1 |
3330i2 |
3330.j |
3330i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{5} \cdot 3^{16} \cdot 5^{3} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.843748578$ |
$1$ |
|
$6$ |
$19200$ |
$1.734293$ |
$1045706191321645729/323352324000$ |
$0.99768$ |
$5.92831$ |
$[1, -1, 0, -190314, 31995220]$ |
\(y^2+xy=x^3-x^2-190314x+31995220\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(221, 722)]$ |
| 3330.j2 |
3330i1 |
3330.j |
3330i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.421874289$ |
$1$ |
|
$9$ |
$9600$ |
$1.387720$ |
$-166456688365729/143856000000$ |
$0.96842$ |
$4.96270$ |
$[1, -1, 0, -10314, 639220]$ |
\(y^2+xy=x^3-x^2-10314x+639220\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(-49, 1037)]$ |
| 3330.k1 |
3330b2 |
3330.k |
3330b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84480$ |
$2.133083$ |
$281470209323873024547/35046400$ |
$1.03266$ |
$7.02453$ |
$[1, -1, 0, -3686379, 2725178885]$ |
\(y^2+xy=x^3-x^2-3686379x+2725178885\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
| 3330.k2 |
3330b1 |
3330.k |
3330b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{20} \cdot 3^{9} \cdot 5^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$42240$ |
$1.786512$ |
$-68700855708416547/24248320000$ |
$1.03193$ |
$5.99905$ |
$[1, -1, 0, -230379, 42631685]$ |
\(y^2+xy=x^3-x^2-230379x+42631685\) |
2.3.0.a.1, 12.6.0.b.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[]$ |
| 3330.l1 |
3330l2 |
3330.l |
3330l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2 \cdot 3^{8} \cdot 5 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1280$ |
$0.351679$ |
$14688124849/123210$ |
$0.88296$ |
$3.69905$ |
$[1, -1, 0, -459, -3645]$ |
\(y^2+xy=x^3-x^2-459x-3645\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[]$ |
| 3330.l2 |
3330l1 |
3330.l |
3330l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$640$ |
$0.005106$ |
$-117649/11100$ |
$0.96712$ |
$2.88103$ |
$[1, -1, 0, -9, -135]$ |
\(y^2+xy=x^3-x^2-9x-135\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[]$ |
| 3330.m1 |
3330s4 |
3330.m |
3330s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 37^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$48384$ |
$1.886450$ |
$127568139540190201/59114336463360$ |
$1.00920$ |
$5.66892$ |
$[1, -1, 1, -94388, 5005847]$ |
\(y^2+xy+y=x^3-x^2-94388x+5005847\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3330.m2 |
3330s2 |
3330.m |
3330s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.337143$ |
$16581570075765001/998001000$ |
$0.97935$ |
$5.41736$ |
$[1, -1, 1, -47813, -4011883]$ |
\(y^2+xy+y=x^3-x^2-47813x-4011883\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3330.m3 |
3330s1 |
3330.m |
3330s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8064$ |
$0.990569$ |
$-3375675045001/999000000$ |
$0.93609$ |
$4.42036$ |
$[1, -1, 1, -2813, -69883]$ |
\(y^2+xy+y=x^3-x^2-2813x-69883\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.c.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3330.m4 |
3330s3 |
3330.m |
3330s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{2} \cdot 37^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$24192$ |
$1.539875$ |
$1367594037332999/995878502400$ |
$0.99161$ |
$5.10971$ |
$[1, -1, 1, 20812, 582167]$ |
\(y^2+xy+y=x^3-x^2+20812x+582167\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.c.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3330.n1 |
3330o1 |
3330.n |
3330o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{4} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.164889742$ |
$1$ |
|
$10$ |
$17280$ |
$1.623993$ |
$-991990479802737267/22190066240000$ |
$1.01226$ |
$5.52013$ |
$[1, -1, 1, -62333, -6089019]$ |
\(y^2+xy+y=x^3-x^2-62333x-6089019\) |
888.2.0.? |
$[(395, 5352)]$ |
| 3330.o1 |
3330n2 |
3330.o |
3330n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.625365428$ |
$1$ |
|
$6$ |
$1152$ |
$0.253210$ |
$1062144635427/54760$ |
$0.92960$ |
$3.82051$ |
$[1, -1, 1, -638, 6357]$ |
\(y^2+xy+y=x^3-x^2-638x+6357\) |
2.3.0.a.1, 120.6.0.?, 444.6.0.?, 1480.6.0.?, 4440.12.0.? |
$[(15, -7)]$ |
| 3330.o2 |
3330n1 |
3330.o |
3330n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$0.312682714$ |
$1$ |
|
$9$ |
$576$ |
$-0.093363$ |
$-219256227/59200$ |
$0.84143$ |
$2.82151$ |
$[1, -1, 1, -38, 117]$ |
\(y^2+xy+y=x^3-x^2-38x+117\) |
2.3.0.a.1, 120.6.0.?, 222.6.0.?, 1480.6.0.?, 4440.12.0.? |
$[(3, 3)]$ |
| 3330.p1 |
3330q1 |
3330.p |
3330q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$0.181632255$ |
$1$ |
|
$8$ |
$1056$ |
$0.304576$ |
$214921799/378880$ |
$0.86906$ |
$3.26647$ |
$[1, -1, 1, 112, 627]$ |
\(y^2+xy+y=x^3-x^2+112x+627\) |
1480.2.0.? |
$[(5, 33)]$ |
| 3330.q1 |
3330r1 |
3330.q |
3330r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{5} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.931696$ |
$918046641959/674325000$ |
$0.94791$ |
$4.20889$ |
$[1, -1, 1, 1822, 15081]$ |
\(y^2+xy+y=x^3-x^2+1822x+15081\) |
1480.2.0.? |
$[]$ |
| 3330.r1 |
3330m2 |
3330.r |
3330m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28160$ |
$1.583778$ |
$281470209323873024547/35046400$ |
$1.03266$ |
$6.21182$ |
$[1, -1, 1, -409598, -100796019]$ |
\(y^2+xy+y=x^3-x^2-409598x-100796019\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
| 3330.r2 |
3330m1 |
3330.r |
3330m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{20} \cdot 3^{3} \cdot 5^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14080$ |
$1.237206$ |
$-68700855708416547/24248320000$ |
$1.03193$ |
$5.18634$ |
$[1, -1, 1, -25598, -1570419]$ |
\(y^2+xy+y=x^3-x^2-25598x-1570419\) |
2.3.0.a.1, 12.6.0.b.1, 148.6.0.?, 222.6.0.?, 444.12.0.? |
$[]$ |
| 3330.s1 |
3330y3 |
3330.s |
3330y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{11} \cdot 3^{14} \cdot 5 \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1576960$ |
$3.700489$ |
$5087799435928552778197163696329/125914832087040$ |
$1.07238$ |
$9.53010$ |
$[1, -1, 1, -3224862977, 70488777789969]$ |
\(y^2+xy+y=x^3-x^2-3224862977x+70488777789969\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 3330.s2 |
3330y2 |
3330.s |
3330y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{22} \cdot 3^{22} \cdot 5^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$788480$ |
$3.353916$ |
$1242142983306846366056931529/6179359141291622400$ |
$1.05738$ |
$8.50458$ |
$[1, -1, 1, -201554177, 1101422182929]$ |
\(y^2+xy+y=x^3-x^2-201554177x+1101422182929\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 3330.s3 |
3330y4 |
3330.s |
3330y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{11} \cdot 3^{38} \cdot 5^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1576960$ |
$3.700489$ |
$-1180159344892952613848670409/87759036144023189760000$ |
$1.05825$ |
$8.51317$ |
$[1, -1, 1, -198144257, 1140484862481]$ |
\(y^2+xy+y=x^3-x^2-198144257x+1140484862481\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 3330.s4 |
3330y1 |
3330.s |
3330y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{44} \cdot 3^{14} \cdot 5 \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$394240$ |
$3.007343$ |
$318929057401476905525449/21353131537921474560$ |
$1.03975$ |
$7.48526$ |
$[1, -1, 1, -12810497, 16599007761]$ |
\(y^2+xy+y=x^3-x^2-12810497x+16599007761\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 3330.t1 |
3330p1 |
3330.t |
3330p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{4} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.072682605$ |
$1$ |
|
$12$ |
$896$ |
$0.205216$ |
$4516672077/2960000$ |
$0.97325$ |
$3.14730$ |
$[1, -1, 1, 103, 121]$ |
\(y^2+xy+y=x^3-x^2+103x+121\) |
888.2.0.? |
$[(1, 14)]$ |
| 3330.u1 |
3330ba2 |
3330.u |
3330ba |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{6} \cdot 37 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$888$ |
$16$ |
$0$ |
$0.193322855$ |
$1$ |
|
$22$ |
$17280$ |
$1.515322$ |
$-39390416456458249/56832000000$ |
$0.98347$ |
$5.52435$ |
$[1, -1, 1, -63797, 6225869]$ |
\(y^2+xy+y=x^3-x^2-63797x+6225869\) |
3.8.0-3.a.1.2, 888.16.0.? |
$[(147, 16)]$ |
| 3330.u2 |
3330ba1 |
3330.u |
3330ba |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$888$ |
$16$ |
$0$ |
$0.064440951$ |
$1$ |
|
$12$ |
$5760$ |
$0.966017$ |
$223759095911/1094104800$ |
$0.94877$ |
$4.28243$ |
$[1, -1, 1, 1138, 40061]$ |
\(y^2+xy+y=x^3-x^2+1138x+40061\) |
3.8.0-3.a.1.1, 888.16.0.? |
$[(291, 4849)]$ |
| 3330.v1 |
3330z1 |
3330.v |
3330z |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.3 |
3B.1.2 |
$13320$ |
$144$ |
$3$ |
$4.894564499$ |
$1$ |
|
$0$ |
$864$ |
$0.158093$ |
$-16954786009/370$ |
$0.88414$ |
$3.71675$ |
$[1, -1, 1, -482, -3949]$ |
\(y^2+xy+y=x^3-x^2-482x-3949\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 333.72.0.?, 1480.2.0.?, 4440.16.0.?, $\ldots$ |
$[(351/2, 5963/2)]$ |
| 3330.v2 |
3330z2 |
3330.v |
3330z |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 37^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$13320$ |
$144$ |
$3$ |
$1.631521499$ |
$1$ |
|
$6$ |
$2592$ |
$0.707399$ |
$-702595369/50653000$ |
$0.95453$ |
$3.92010$ |
$[1, -1, 1, -167, -9241]$ |
\(y^2+xy+y=x^3-x^2-167x-9241\) |
3.24.0-3.a.1.1, 333.72.0.?, 1480.2.0.?, 4440.48.1.?, 13320.144.3.? |
$[(57, 376)]$ |
| 3330.v3 |
3330z3 |
3330.v |
3330z |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 37 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.1 |
3B.1.1 |
$13320$ |
$144$ |
$3$ |
$0.543840499$ |
$1$ |
|
$12$ |
$7776$ |
$1.256706$ |
$510273943271/37000000000$ |
$0.99687$ |
$4.73109$ |
$[1, -1, 1, 1498, 248501]$ |
\(y^2+xy+y=x^3-x^2+1498x+248501\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 333.72.0.?, 1480.2.0.?, 4440.16.0.?, $\ldots$ |
$[(51, 649)]$ |
| 3330.w1 |
3330t3 |
3330.w |
3330t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2 \cdot 3^{6} \cdot 5^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2048$ |
$0.625817$ |
$6825481747209/46250$ |
$0.96373$ |
$4.45624$ |
$[1, -1, 1, -3557, 82531]$ |
\(y^2+xy+y=x^3-x^2-3557x+82531\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.y.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 3330.w2 |
3330t2 |
3330.w |
3330t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1024$ |
$0.279243$ |
$1767172329/136900$ |
$0.99471$ |
$3.43796$ |
$[1, -1, 1, -227, 1279]$ |
\(y^2+xy+y=x^3-x^2-227x+1279\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 3330.w3 |
3330t1 |
3330.w |
3330t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$-0.067330$ |
$15438249/2960$ |
$0.81779$ |
$2.85351$ |
$[1, -1, 1, -47, -89]$ |
\(y^2+xy+y=x^3-x^2-47x-89\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.y.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 3330.w4 |
3330t4 |
3330.w |
3330t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2048$ |
$0.625817$ |
$1689410871/18741610$ |
$1.06786$ |
$3.78993$ |
$[1, -1, 1, 223, 5419]$ |
\(y^2+xy+y=x^3-x^2+223x+5419\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.s.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
