| 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 |
| 3450.a1 |
3450f1 |
3450.a |
3450f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.080356772$ |
$1$ |
|
$30$ |
$960$ |
$-0.196641$ |
$2941225/828$ |
$0.95498$ |
$2.61868$ |
$[1, 1, 0, -25, 25]$ |
\(y^2+xy=x^3+x^2-25x+25\) |
92.2.0.? |
$[(0, 5), (-5, 10)]$ |
| 3450.b1 |
3450c2 |
3450.b |
3450c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{5} \cdot 3^{2} \cdot 5^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$1.324627$ |
$6687281588245201/165600$ |
$0.98744$ |
$5.65859$ |
$[1, 1, 0, -98125, -11871875]$ |
\(y^2+xy=x^3+x^2-98125x-11871875\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 3450.b2 |
3450c1 |
3450.b |
3450c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$0.978054$ |
$-1626794704081/8125440$ |
$0.93841$ |
$4.63814$ |
$[1, 1, 0, -6125, -187875]$ |
\(y^2+xy=x^3+x^2-6125x-187875\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 3450.c1 |
3450a2 |
3450.c |
3450a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{16} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$2.714801155$ |
$1$ |
|
$2$ |
$11520$ |
$1.468821$ |
$53706380371489/16171875000$ |
$1.03421$ |
$5.06635$ |
$[1, 1, 0, -19650, -742500]$ |
\(y^2+xy=x^3+x^2-19650x-742500\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[(-75, 600)]$ |
| 3450.c2 |
3450a1 |
3450.c |
3450a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3 \cdot 5^{11} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.357400577$ |
$1$ |
|
$3$ |
$5760$ |
$1.122248$ |
$265971760991/317400000$ |
$1.01836$ |
$4.42217$ |
$[1, 1, 0, 3350, -75500]$ |
\(y^2+xy=x^3+x^2+3350x-75500\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(380, 7310)]$ |
| 3450.d1 |
3450d4 |
3450.d |
3450d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5520$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$1.957737$ |
$148809678420065817601/20700$ |
$1.02663$ |
$6.88742$ |
$[1, 1, 0, -2760000, 1763716500]$ |
\(y^2+xy=x^3+x^2-2760000x+1763716500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 3450.d2 |
3450d5 |
3450.d |
3450d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2 \cdot 3 \cdot 5^{10} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5520$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$2.304310$ |
$1905890658841300321/293666194803750$ |
$1.01528$ |
$6.35248$ |
$[1, 1, 0, -645750, -171356250]$ |
\(y^2+xy=x^3+x^2-645750x-171356250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 20.12.0-4.c.1.1, 24.48.0.bl.2, $\ldots$ |
$[]$ |
| 3450.d3 |
3450d3 |
3450.d |
3450d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{14} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2760$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$36864$ |
$1.957737$ |
$39248884582600321/3935264062500$ |
$0.99808$ |
$5.87584$ |
$[1, 1, 0, -177000, 25987500]$ |
\(y^2+xy=x^3+x^2-177000x+25987500\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 20.24.0-4.b.1.1, 24.48.0.m.2, $\ldots$ |
$[]$ |
| 3450.d4 |
3450d2 |
3450.d |
3450d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2760$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$18432$ |
$1.611162$ |
$36330796409313601/428490000$ |
$0.99526$ |
$5.86635$ |
$[1, 1, 0, -172500, 27504000]$ |
\(y^2+xy=x^3+x^2-172500x+27504000\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.3, 24.48.0.r.2, $\ldots$ |
$[]$ |
| 3450.d5 |
3450d1 |
3450.d |
3450d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5520$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.264589$ |
$-8194759433281/965779200$ |
$0.95262$ |
$4.85832$ |
$[1, 1, 0, -10500, 450000]$ |
\(y^2+xy=x^3+x^2-10500x+450000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.2, 40.48.0-8.bb.1.7, $\ldots$ |
$[]$ |
| 3450.d6 |
3450d6 |
3450.d |
3450d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2 \cdot 3 \cdot 5^{22} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$5520$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$73728$ |
$2.304310$ |
$75108181893694559/484313964843750$ |
$1.20385$ |
$6.23990$ |
$[1, 1, 0, 219750, 126365250]$ |
\(y^2+xy=x^3+x^2+219750x+126365250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 3450.e1 |
3450g1 |
3450.e |
3450g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.136023362$ |
$1$ |
|
$10$ |
$2880$ |
$0.777232$ |
$11631015625/13248$ |
$1.04899$ |
$4.42571$ |
$[1, 1, 0, -3450, 76500]$ |
\(y^2+xy=x^3+x^2-3450x+76500\) |
92.2.0.? |
$[(60, 270)]$ |
| 3450.f1 |
3450e2 |
3450.f |
3450e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.558351$ |
$-122513556330625/292008$ |
$1.03233$ |
$4.37731$ |
$[1, 1, 0, -3025, -65315]$ |
\(y^2+xy=x^3+x^2-3025x-65315\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 552.8.0.?, 2760.16.0.? |
$[]$ |
| 3450.f2 |
3450e1 |
3450.f |
3450e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$864$ |
$0.009045$ |
$-73530625/317952$ |
$1.08826$ |
$2.88098$ |
$[1, 1, 0, -25, -155]$ |
\(y^2+xy=x^3+x^2-25x-155\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 552.8.0.?, 2760.16.0.? |
$[]$ |
| 3450.g1 |
3450b1 |
3450.g |
3450b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1.565527861$ |
$1$ |
|
$4$ |
$23040$ |
$1.729811$ |
$1790712239425/618098688$ |
$0.98921$ |
$5.43915$ |
$[1, 1, 0, -54075, 3052125]$ |
\(y^2+xy=x^3+x^2-54075x+3052125\) |
92.2.0.? |
$[(-186, 2685)]$ |
| 3450.h1 |
3450k1 |
3450.h |
3450k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.124863928$ |
$1$ |
|
$8$ |
$768$ |
$-0.080201$ |
$1551443665/29808$ |
$0.89600$ |
$2.99300$ |
$[1, 0, 1, -71, 218]$ |
\(y^2+xy+y=x^3-71x+218\) |
92.2.0.? |
$[(3, 4)]$ |
| 3450.i1 |
3450l2 |
3450.i |
3450l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$276$ |
$16$ |
$0$ |
$2.426396209$ |
$1$ |
|
$2$ |
$25920$ |
$1.781675$ |
$84013940106985/28705554432$ |
$0.99349$ |
$5.51642$ |
$[1, 0, 1, -66701, -4248952]$ |
\(y^2+xy+y=x^3-66701x-4248952\) |
3.8.0-3.a.1.1, 92.2.0.?, 276.16.0.? |
$[(-157, 1614)]$ |
| 3450.i2 |
3450l1 |
3450.i |
3450l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 23 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$276$ |
$16$ |
$0$ |
$0.808798736$ |
$1$ |
|
$10$ |
$8640$ |
$1.232368$ |
$5776556465785/1073088$ |
$0.96383$ |
$5.18778$ |
$[1, 0, 1, -27326, 1736048]$ |
\(y^2+xy+y=x^3-27326x+1736048\) |
3.8.0-3.a.1.2, 92.2.0.?, 276.16.0.? |
$[(93, -11)]$ |
| 3450.j1 |
3450j3 |
3450.j |
3450j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{7} \cdot 3^{4} \cdot 5^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$920$ |
$48$ |
$0$ |
$6.055137537$ |
$1$ |
|
$2$ |
$172032$ |
$2.704350$ |
$292169767125103365085489/72534787200$ |
$1.04787$ |
$7.81822$ |
$[1, 0, 1, -34560276, -78204168302]$ |
\(y^2+xy+y=x^3-34560276x-78204168302\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$ |
$[(18956, 2455926)]$ |
| 3450.j2 |
3450j4 |
3450.j |
3450j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{7} \cdot 3^{16} \cdot 5^{14} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$1.513784384$ |
$1$ |
|
$6$ |
$172032$ |
$2.704350$ |
$114387056741228939569/49503729150000000$ |
$1.04172$ |
$6.85513$ |
$[1, 0, 1, -2528276, -777224302]$ |
\(y^2+xy+y=x^3-2528276x-777224302\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 184.24.0.?, $\ldots$ |
$[(-618, 23746)]$ |
| 3450.j3 |
3450j2 |
3450.j |
3450j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$920$ |
$48$ |
$0$ |
$3.027568768$ |
$1$ |
|
$8$ |
$86016$ |
$2.357777$ |
$71356102305927901489/35540674560000$ |
$1.02426$ |
$6.79720$ |
$[1, 0, 1, -2160276, -1221768302]$ |
\(y^2+xy+y=x^3-2160276x-1221768302\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 92.12.0.?, $\ldots$ |
$[(-838, 906)]$ |
| 3450.j4 |
3450j1 |
3450.j |
3450j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$6.055137537$ |
$1$ |
|
$3$ |
$43008$ |
$2.011204$ |
$-10017490085065009/12502381363200$ |
$1.00472$ |
$5.84931$ |
$[1, 0, 1, -112276, -25736302]$ |
\(y^2+xy+y=x^3-112276x-25736302\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.1, $\ldots$ |
$[(4642, 313091)]$ |
| 3450.k1 |
3450i4 |
3450.k |
3450i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2 \cdot 3^{8} \cdot 5^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$0.291310071$ |
$1$ |
|
$8$ |
$4096$ |
$0.859734$ |
$1666957239793/301806$ |
$1.06466$ |
$4.64007$ |
$[1, 0, 1, -6176, 186248]$ |
\(y^2+xy+y=x^3-6176x+186248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 40.24.0-8.p.1.4, 184.24.0.?, $\ldots$ |
$[(42, 16)]$ |
| 3450.k2 |
3450i3 |
3450.k |
3450i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2 \cdot 3^{2} \cdot 5^{6} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$920$ |
$48$ |
$0$ |
$1.165240284$ |
$1$ |
|
$6$ |
$4096$ |
$0.859734$ |
$135559106353/5037138$ |
$0.97631$ |
$4.33203$ |
$[1, 0, 1, -2676, -51752]$ |
\(y^2+xy+y=x^3-2676x-51752\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$ |
$[(-28, 51)]$ |
| 3450.k3 |
3450i2 |
3450.k |
3450i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$920$ |
$48$ |
$0$ |
$0.582620142$ |
$1$ |
|
$16$ |
$2048$ |
$0.513160$ |
$545338513/171396$ |
$0.94447$ |
$3.65493$ |
$[1, 0, 1, -426, 2248]$ |
\(y^2+xy+y=x^3-426x+2248\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 92.12.0.?, $\ldots$ |
$[(2, 36)]$ |
| 3450.k4 |
3450i1 |
3450.k |
3450i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$920$ |
$48$ |
$0$ |
$1.165240284$ |
$1$ |
|
$5$ |
$1024$ |
$0.166586$ |
$2924207/3312$ |
$0.89878$ |
$3.01311$ |
$[1, 0, 1, 74, 248]$ |
\(y^2+xy+y=x^3+74x+248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.1, $\ldots$ |
$[(1, 17)]$ |
| 3450.l1 |
3450h2 |
3450.l |
3450h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{3} \cdot 3 \cdot 5^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.890251$ |
$172715635009/7935000$ |
$0.92220$ |
$4.36177$ |
$[1, 0, 1, -2901, 57448]$ |
\(y^2+xy+y=x^3-2901x+57448\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[]$ |
| 3450.l2 |
3450h1 |
3450.l |
3450h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.543677$ |
$6967871/331200$ |
$0.92224$ |
$3.65935$ |
$[1, 0, 1, 99, 3448]$ |
\(y^2+xy+y=x^3+99x+3448\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[]$ |
| 3450.m1 |
3450m2 |
3450.m |
3450m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{39} \cdot 3^{3} \cdot 5^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$552$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$67392$ |
$2.131886$ |
$-24923353462910020825/341398360424448$ |
$1.04665$ |
$6.27580$ |
$[1, 0, 1, -520301, -146196952]$ |
\(y^2+xy+y=x^3-520301x-146196952\) |
3.8.0-3.a.1.1, 552.16.0.? |
$[]$ |
| 3450.m2 |
3450m1 |
3450.m |
3450m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{4} \cdot 23^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$552$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$22464$ |
$1.582581$ |
$2173899265153175/1961845235712$ |
$1.03343$ |
$5.12551$ |
$[1, 0, 1, 23074, -1007152]$ |
\(y^2+xy+y=x^3+23074x-1007152\) |
3.8.0-3.a.1.2, 552.16.0.? |
$[]$ |
| 3450.n1 |
3450p2 |
3450.n |
3450p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{39} \cdot 3^{3} \cdot 5^{10} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$336960$ |
$2.936607$ |
$-24923353462910020825/341398360424448$ |
$1.04665$ |
$7.46123$ |
$[1, 1, 1, -13007513, -18274618969]$ |
\(y^2+xy+y=x^3+x^2-13007513x-18274618969\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 552.8.0.?, 2760.16.0.? |
$[]$ |
| 3450.n2 |
3450p1 |
3450.n |
3450p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{10} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2760$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$112320$ |
$2.387299$ |
$2173899265153175/1961845235712$ |
$1.03343$ |
$6.31093$ |
$[1, 1, 1, 576862, -125893969]$ |
\(y^2+xy+y=x^3+x^2+576862x-125893969\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 552.8.0.?, 2760.16.0.? |
$[]$ |
| 3450.o1 |
3450r4 |
3450.o |
3450r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$0.508053220$ |
$1$ |
|
$8$ |
$13824$ |
$1.500729$ |
$50591419971625/28422890688$ |
$1.07125$ |
$5.05902$ |
$[1, 1, 1, -19263, 167781]$ |
\(y^2+xy+y=x^3+x^2-19263x+167781\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 15.8.0-3.a.1.1, $\ldots$ |
$[(141, 458)]$ |
| 3450.o2 |
3450r2 |
3450.o |
3450r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$1.524159661$ |
$1$ |
|
$4$ |
$4608$ |
$0.951423$ |
$21081759765625/57132$ |
$1.12484$ |
$4.95156$ |
$[1, 1, 1, -14388, 658281]$ |
\(y^2+xy+y=x^3+x^2-14388x+658281\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(69, -33)]$ |
| 3450.o3 |
3450r1 |
3450.o |
3450r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$0.762079830$ |
$1$ |
|
$7$ |
$2304$ |
$0.604849$ |
$-4956477625/268272$ |
$0.95072$ |
$3.93684$ |
$[1, 1, 1, -888, 10281]$ |
\(y^2+xy+y=x^3+x^2-888x+10281\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(15, 17)]$ |
| 3450.o4 |
3450r3 |
3450.o |
3450r |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1380$ |
$96$ |
$1$ |
$0.254026610$ |
$1$ |
|
$13$ |
$6912$ |
$1.154156$ |
$752329532375/448524288$ |
$1.05431$ |
$4.54241$ |
$[1, 1, 1, 4737, 23781]$ |
\(y^2+xy+y=x^3+x^2+4737x+23781\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 15.8.0-3.a.1.1, $\ldots$ |
$[(45, 552)]$ |
| 3450.p1 |
3450o3 |
3450.p |
3450o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{5} \cdot 5^{10} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.893860$ |
$133345896593725369/340006815000$ |
$1.00095$ |
$6.02597$ |
$[1, 1, 1, -266088, 52603281]$ |
\(y^2+xy+y=x^3+x^2-266088x+52603281\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 3450.p2 |
3450o2 |
3450.p |
3450o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$23040$ |
$1.547287$ |
$87109155423289/49979073600$ |
$1.03862$ |
$5.12572$ |
$[1, 1, 1, -23088, 115281]$ |
\(y^2+xy+y=x^3+x^2-23088x+115281\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 3450.p3 |
3450o1 |
3450.p |
3450o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.200712$ |
$24310870577209/114462720$ |
$0.95668$ |
$4.96906$ |
$[1, 1, 1, -15088, -716719]$ |
\(y^2+xy+y=x^3+x^2-15088x-716719\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 3450.p4 |
3450o4 |
3450.p |
3450o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{20} \cdot 5^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$46080$ |
$1.893860$ |
$5495662324535111/3207841648920$ |
$1.05494$ |
$5.63450$ |
$[1, 1, 1, 91912, 1035281]$ |
\(y^2+xy+y=x^3+x^2+91912x+1035281\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
| 3450.q1 |
3450n3 |
3450.q |
3450n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{2} \cdot 3 \cdot 5^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6144$ |
$1.144642$ |
$353108405631241/172500$ |
$0.97232$ |
$5.29754$ |
$[1, 1, 1, -36813, -2733969]$ |
\(y^2+xy+y=x^3+x^2-36813x-2733969\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[]$ |
| 3450.q2 |
3450n2 |
3450.q |
3450n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3072$ |
$0.798069$ |
$87587538121/1904400$ |
$0.91574$ |
$4.27842$ |
$[1, 1, 1, -2313, -42969]$ |
\(y^2+xy+y=x^3+x^2-2313x-42969\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 276.24.0.?, 1380.48.0.? |
$[]$ |
| 3450.q3 |
3450n1 |
3450.q |
3450n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{8} \cdot 3 \cdot 5^{7} \cdot 23 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.451495$ |
$217081801/88320$ |
$0.87548$ |
$3.54186$ |
$[1, 1, 1, -313, 1031]$ |
\(y^2+xy+y=x^3+x^2-313x+1031\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 552.24.0.?, 690.6.0.?, $\ldots$ |
$[]$ |
| 3450.q4 |
3450n4 |
3450.q |
3450n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.144642$ |
$46268279/453342420$ |
$1.04877$ |
$4.54737$ |
$[1, 1, 1, 187, -127969]$ |
\(y^2+xy+y=x^3+x^2+187x-127969\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 552.24.0.?, 2760.48.0.? |
$[]$ |
| 3450.r1 |
3450q2 |
3450.r |
3450q |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1380$ |
$16$ |
$0$ |
$0.059634042$ |
$1$ |
|
$10$ |
$5184$ |
$0.976955$ |
$84013940106985/28705554432$ |
$0.99349$ |
$4.33100$ |
$[1, 1, 1, -2668, -35059]$ |
\(y^2+xy+y=x^3+x^2-2668x-35059\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 92.2.0.?, 276.8.0.?, 1380.16.0.? |
$[(-31, 153)]$ |
| 3450.r2 |
3450q1 |
3450.r |
3450q |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1380$ |
$16$ |
$0$ |
$0.178902127$ |
$1$ |
|
$6$ |
$1728$ |
$0.427649$ |
$5776556465785/1073088$ |
$0.96383$ |
$4.00236$ |
$[1, 1, 1, -1093, 13451]$ |
\(y^2+xy+y=x^3+x^2-1093x+13451\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 92.2.0.?, 276.8.0.?, 1380.16.0.? |
$[(11, 48)]$ |
| 3450.s1 |
3450s1 |
3450.s |
3450s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$0.148618612$ |
$1$ |
|
$8$ |
$3840$ |
$0.724518$ |
$1551443665/29808$ |
$0.89600$ |
$4.17842$ |
$[1, 1, 1, -1763, 27281]$ |
\(y^2+xy+y=x^3+x^2-1763x+27281\) |
92.2.0.? |
$[(-15, 232)]$ |
| 3450.t1 |
3450u2 |
3450.t |
3450u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{14} \cdot 5^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.298419173$ |
$1$ |
|
$10$ |
$16128$ |
$1.483772$ |
$47316161414809/22001657400$ |
$0.98513$ |
$5.05080$ |
$[1, 0, 0, -18838, -442708]$ |
\(y^2+xy=x^3-18838x-442708\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[(-58, 704)]$ |
| 3450.t2 |
3450u1 |
3450.t |
3450u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.149209586$ |
$1$ |
|
$17$ |
$8064$ |
$1.137197$ |
$510273943271/370215360$ |
$0.96003$ |
$4.49475$ |
$[1, 0, 0, 4162, -51708]$ |
\(y^2+xy=x^3+4162x-51708\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(22, 214)]$ |
| 3450.u1 |
3450y2 |
3450.u |
3450y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( 2 \cdot 3^{6} \cdot 5^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.891068$ |
$1577505447721/838350$ |
$0.93804$ |
$4.63330$ |
$[1, 0, 0, -6063, -182133]$ |
\(y^2+xy=x^3-6063x-182133\) |
2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
