| 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 |
| 55473.a1 |
55473h1 |
55473.a |
55473h |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{22} \cdot 11^{3} \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1230768$ |
$2.012466$ |
$-1469990616218374144/41768190339579$ |
$1.02790$ |
$4.51377$ |
$[0, -1, 1, -281656, -58836012]$ |
\(y^2+y=x^3-x^2-281656x-58836012\) |
22.2.0.a.1 |
$[]$ |
| 55473.b1 |
55473r1 |
55473.b |
55473r |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{22} \cdot 11^{3} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$10.52984857$ |
$1$ |
|
$0$ |
$50461488$ |
$3.869251$ |
$-1469990616218374144/41768190339579$ |
$1.02790$ |
$6.55351$ |
$[0, 1, 1, -473464296, -4061665263418]$ |
\(y^2+y=x^3+x^2-473464296x-4061665263418\) |
22.2.0.a.1 |
$[(12278340/7, 42855864619/7)]$ |
| 55473.c1 |
55473n1 |
55473.c |
55473n |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3^{5} \cdot 11 \cdot 41^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$336000$ |
$1.824017$ |
$8205738913/4493313$ |
$0.89644$ |
$4.12953$ |
$[1, 0, 0, -70637, -1681608]$ |
\(y^2+xy=x^3-70637x-1681608\) |
2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? |
$[]$ |
| 55473.c2 |
55473n2 |
55473.c |
55473n |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{10} \cdot 11^{2} \cdot 41^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$672000$ |
$2.170589$ |
$478762350767/292942089$ |
$0.93299$ |
$4.50178$ |
$[1, 0, 0, 273968, -13191415]$ |
\(y^2+xy=x^3+273968x-13191415\) |
2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? |
$[]$ |
| 55473.d1 |
55473c1 |
55473.d |
55473c |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{2} \cdot 11^{5} \cdot 41^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5785920$ |
$3.121387$ |
$-270622818304/1449459$ |
$1.01607$ |
$5.81023$ |
$[0, -1, 1, -32025291, 70089731048]$ |
\(y^2+y=x^3-x^2-32025291x+70089731048\) |
22.2.0.a.1 |
$[]$ |
| 55473.e1 |
55473b1 |
55473.e |
55473b |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{5} \cdot 11^{2} \cdot 41^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1377600$ |
$2.391083$ |
$-460816384000/29403$ |
$0.99518$ |
$5.17821$ |
$[0, -1, 1, -3216313, 2221361481]$ |
\(y^2+y=x^3-x^2-3216313x+2221361481\) |
6.2.0.a.1 |
$[]$ |
| 55473.f1 |
55473d1 |
55473.f |
55473d |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{6} \cdot 11 \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12096$ |
$0.110296$ |
$-85983232/8019$ |
$0.94857$ |
$2.36608$ |
$[0, -1, 1, -109, -438]$ |
\(y^2+y=x^3-x^2-109x-438\) |
22.2.0.a.1 |
$[]$ |
| 55473.g1 |
55473p1 |
55473.g |
55473p |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{2} \cdot 11^{5} \cdot 41^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.017627484$ |
$1$ |
|
$2$ |
$141120$ |
$1.264601$ |
$-270622818304/1449459$ |
$1.01607$ |
$3.77049$ |
$[0, 1, 1, -19051, 1010452]$ |
\(y^2+y=x^3+x^2-19051x+1010452\) |
22.2.0.a.1 |
$[(68, 184)]$ |
| 55473.h1 |
55473s1 |
55473.h |
55473s |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{5} \cdot 11^{2} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.177098914$ |
$1$ |
|
$6$ |
$33600$ |
$0.534296$ |
$-460816384000/29403$ |
$0.99518$ |
$3.13847$ |
$[0, 1, 1, -1913, 31577]$ |
\(y^2+y=x^3+x^2-1913x+31577\) |
6.2.0.a.1 |
$[(19, 49)]$ |
| 55473.i1 |
55473q1 |
55473.i |
55473q |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{6} \cdot 11 \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$4.337294440$ |
$1$ |
|
$0$ |
$495936$ |
$1.967083$ |
$-85983232/8019$ |
$0.94857$ |
$4.40582$ |
$[0, 1, 1, -183789, -32740666]$ |
\(y^2+y=x^3+x^2-183789x-32740666\) |
22.2.0.a.1 |
$[(20724/5, 2453357/5)]$ |
| 55473.j1 |
55473g1 |
55473.j |
55473g |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3^{2} \cdot 11^{2} \cdot 41^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$21648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1102080$ |
$2.293324$ |
$1235376017/1089$ |
$0.89117$ |
$4.97606$ |
$[1, 1, 0, -1540671, 734857200]$ |
\(y^2+xy=x^3+x^2-1540671x+734857200\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 82.6.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 55473.j2 |
55473g2 |
55473.j |
55473g |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{4} \cdot 11^{4} \cdot 41^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$21648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2204160$ |
$2.639900$ |
$-578009537/1185921$ |
$1.00088$ |
$5.04514$ |
$[1, 1, 0, -1196066, 1072914705]$ |
\(y^2+xy=x^3+x^2-1196066x+1072914705\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 164.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 55473.k1 |
55473f1 |
55473.k |
55473f |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{2} \cdot 11^{3} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$902$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$1.684647$ |
$-4165509529/491139$ |
$0.93496$ |
$4.08444$ |
$[1, 1, 0, -56348, -5672049]$ |
\(y^2+xy=x^3+x^2-56348x-5672049\) |
902.2.0.? |
$[]$ |
| 55473.l1 |
55473e1 |
55473.l |
55473e |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{4} \cdot 11 \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$902$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$0.529285$ |
$-9011897441/891$ |
$0.91148$ |
$3.11825$ |
$[1, 1, 0, -1777, -29588]$ |
\(y^2+xy=x^3+x^2-1777x-29588\) |
902.2.0.? |
$[]$ |
| 55473.m1 |
55473a1 |
55473.m |
55473a |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3 \cdot 11^{3} \cdot 41^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$12.87843794$ |
$1$ |
|
$1$ |
$524160$ |
$1.885689$ |
$37159393753/6712233$ |
$0.86929$ |
$4.26780$ |
$[1, 1, 0, -116864, 12704643]$ |
\(y^2+xy=x^3+x^2-116864x+12704643\) |
2.3.0.a.1, 66.6.0.a.1, 164.6.0.?, 5412.12.0.? |
$[(6268606/241, 15589063217/241)]$ |
| 55473.m2 |
55473a2 |
55473.m |
55473a |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{2} \cdot 11^{6} \cdot 41^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5412$ |
$12$ |
$0$ |
$6.439218971$ |
$1$ |
|
$0$ |
$1048320$ |
$2.232262$ |
$275005425527/653706009$ |
$0.91232$ |
$4.55483$ |
$[1, 1, 0, 227741, 73837570]$ |
\(y^2+xy=x^3+x^2+227741x+73837570\) |
2.3.0.a.1, 132.6.0.?, 164.6.0.?, 5412.12.0.? |
$[(-22701/10, 3354473/10)]$ |
| 55473.n1 |
55473l4 |
55473.n |
55473l |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10824$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.844154$ |
$347873904937/395307$ |
$1.00913$ |
$4.47255$ |
$[1, 0, 1, -246302, 46982081]$ |
\(y^2+xy+y=x^3-246302x+46982081\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 164.12.0.?, $\ldots$ |
$[]$ |
| 55473.n2 |
55473l2 |
55473.n |
55473l |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3^{6} \cdot 11^{2} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5412$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$211200$ |
$1.497580$ |
$169112377/88209$ |
$1.00669$ |
$3.77415$ |
$[1, 0, 1, -19367, 324245]$ |
\(y^2+xy+y=x^3-19367x+324245\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 132.24.0.?, 164.12.0.?, $\ldots$ |
$[]$ |
| 55473.n3 |
55473l1 |
55473.n |
55473l |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3^{3} \cdot 11 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10824$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$105600$ |
$1.151007$ |
$30664297/297$ |
$1.09706$ |
$3.61784$ |
$[1, 0, 1, -10962, -438929]$ |
\(y^2+xy+y=x^3-10962x-438929\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 55473.n4 |
55473l3 |
55473.n |
55473l |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{12} \cdot 11 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10824$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.844154$ |
$9090072503/5845851$ |
$1.03763$ |
$4.13890$ |
$[1, 0, 1, 73088, 2543165]$ |
\(y^2+xy+y=x^3+73088x+2543165\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 55473.o1 |
55473k1 |
55473.o |
55473k |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3^{2} \cdot 11^{2} \cdot 41^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$21648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$26880$ |
$0.436539$ |
$1235376017/1089$ |
$0.89117$ |
$2.93632$ |
$[1, 0, 1, -917, 10595]$ |
\(y^2+xy+y=x^3-917x+10595\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 82.6.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 55473.o2 |
55473k2 |
55473.o |
55473k |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{4} \cdot 11^{4} \cdot 41^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$21648$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$0.783113$ |
$-578009537/1185921$ |
$1.00088$ |
$3.00540$ |
$[1, 0, 1, -712, 15515]$ |
\(y^2+xy+y=x^3-712x+15515\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 164.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 55473.p1 |
55473j1 |
55473.p |
55473j |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{4} \cdot 11 \cdot 41^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$902$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$787200$ |
$2.386070$ |
$-9011897441/891$ |
$0.91148$ |
$5.15799$ |
$[1, 0, 1, -2988013, -1988443321]$ |
\(y^2+xy+y=x^3-2988013x-1988443321\) |
902.2.0.? |
$[]$ |
| 55473.q1 |
55473m1 |
55473.q |
55473m |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{2} \cdot 11 \cdot 41^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$902$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1209600$ |
$2.465923$ |
$-169112377/11469763899$ |
$1.03692$ |
$4.84262$ |
$[1, 0, 1, -19367, 355129553]$ |
\(y^2+xy+y=x^3-19367x+355129553\) |
902.2.0.? |
$[]$ |
| 55473.r1 |
55473i1 |
55473.r |
55473i |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{2} \cdot 11 \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$5.252702681$ |
$1$ |
|
$0$ |
$234192$ |
$1.548014$ |
$167936/99$ |
$0.80118$ |
$3.82106$ |
$[0, -1, 1, 22974, 175493]$ |
\(y^2+y=x^3-x^2+22974x+175493\) |
22.2.0.a.1 |
$[(46509/2, 10030523/2)]$ |
| 55473.s1 |
55473o1 |
55473.s |
55473o |
$1$ |
$1$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{2} \cdot 11 \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5712$ |
$-0.308773$ |
$167936/99$ |
$0.80118$ |
$1.78132$ |
$[0, 1, 1, 14, 7]$ |
\(y^2+y=x^3+x^2+14x+7\) |
22.2.0.a.1 |
$[]$ |
