| 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 |
Manin constant |
| 81288.a1 |
81288h1 |
81288.a |
81288h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{20} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1.355349450$ |
$1$ |
|
$4$ |
$637952$ |
$1.951618$ |
$6546296694426725632/5399972001$ |
$0.95534$ |
$4.66043$ |
$[0, 0, 0, -883839, 319821419]$ |
\(y^2=x^3-883839x+319821419\) |
2258.2.0.? |
$[(-77, 19683)]$ |
$1$ |
| 81288.b1 |
81288m1 |
81288.b |
81288m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{10} \cdot 3^{10} \cdot 1129 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$9032$ |
$12$ |
$0$ |
$2.460717696$ |
$1$ |
|
$3$ |
$86016$ |
$0.871619$ |
$4723728772/91449$ |
$0.79695$ |
$3.16644$ |
$[0, 0, 0, -3171, -67570]$ |
\(y^2=x^3-3171x-67570\) |
2.3.0.a.1, 8.6.0.d.1, 2258.6.0.?, 9032.12.0.? |
$[(67, 144)]$ |
$1$ |
| 81288.b2 |
81288m2 |
81288.b |
81288m |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( - 2^{11} \cdot 3^{8} \cdot 1129^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$9032$ |
$12$ |
$0$ |
$4.921435393$ |
$1$ |
|
$3$ |
$172032$ |
$1.218193$ |
$24334/11471769$ |
$0.98091$ |
$3.35461$ |
$[0, 0, 0, 69, -199114]$ |
\(y^2=x^3+69x-199114\) |
2.3.0.a.1, 8.6.0.a.1, 4516.6.0.?, 9032.12.0.? |
$[(4574, 309346)]$ |
$1$ |
| 81288.c1 |
81288d1 |
81288.c |
81288d |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( - 2^{10} \cdot 3^{17} \cdot 1129 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6774$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$219648$ |
$1.404144$ |
$97859073308/199998963$ |
$0.86184$ |
$3.51669$ |
$[0, 0, 0, 8709, 497734]$ |
\(y^2=x^3+8709x+497734\) |
6774.2.0.? |
$[ ]$ |
$1$ |
| 81288.d1 |
81288i1 |
81288.d |
81288i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( - 2^{8} \cdot 3^{3} \cdot 1129 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6774$ |
$2$ |
$0$ |
$1.022126908$ |
$1$ |
|
$14$ |
$11264$ |
$0.001948$ |
$11664/1129$ |
$0.64607$ |
$2.06256$ |
$[0, 0, 0, 9, -134]$ |
\(y^2=x^3+9x-134\) |
6774.2.0.? |
$[(5, 6), (11, 36)]$ |
$1$ |
| 81288.e1 |
81288l2 |
81288.e |
81288l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{11} \cdot 3^{10} \cdot 1129^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$9032$ |
$12$ |
$0$ |
$6.451667394$ |
$1$ |
|
$3$ |
$303104$ |
$1.494560$ |
$3039370120946/103245921$ |
$0.87205$ |
$3.79974$ |
$[0, 0, 0, -34491, 2392054]$ |
\(y^2=x^3-34491x+2392054\) |
2.3.0.a.1, 8.6.0.b.1, 4516.6.0.?, 9032.12.0.? |
$[(1886, 81522)]$ |
$1$ |
| 81288.e2 |
81288l1 |
81288.e |
81288l |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{10} \cdot 3^{14} \cdot 1129 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$9032$ |
$12$ |
$0$ |
$3.225833697$ |
$1$ |
|
$5$ |
$151552$ |
$1.147987$ |
$22445137732/7407369$ |
$0.82818$ |
$3.30429$ |
$[0, 0, 0, -5331, -98210]$ |
\(y^2=x^3-5331x-98210\) |
2.3.0.a.1, 8.6.0.c.1, 2258.6.0.?, 9032.12.0.? |
$[(-58, 126)]$ |
$1$ |
| 81288.f1 |
81288k2 |
81288.f |
81288k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{8} \cdot 3^{12} \cdot 1129 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13548$ |
$12$ |
$0$ |
$1.231446193$ |
$1$ |
|
$5$ |
$221184$ |
$1.313261$ |
$93888607626448/823041$ |
$0.88234$ |
$3.91924$ |
$[0, 0, 0, -54111, 4844770]$ |
\(y^2=x^3-54111x+4844770\) |
2.3.0.a.1, 12.6.0.c.1, 2258.6.0.?, 13548.12.0.? |
$[(137, 54)]$ |
$1$ |
| 81288.f2 |
81288k1 |
81288.f |
81288k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( - 2^{4} \cdot 3^{9} \cdot 1129^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13548$ |
$12$ |
$0$ |
$2.462892386$ |
$1$ |
|
$3$ |
$110592$ |
$0.966687$ |
$-342597941248/34415307$ |
$0.94603$ |
$3.19166$ |
$[0, 0, 0, -3306, 79261]$ |
\(y^2=x^3-3306x+79261\) |
2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.? |
$[(14, 189)]$ |
$1$ |
| 81288.g1 |
81288r1 |
81288.g |
81288r |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{6} \cdot 1129 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$0.627786572$ |
$1$ |
|
$14$ |
$15872$ |
$0.060072$ |
$2370816/1129$ |
$0.67096$ |
$2.12662$ |
$[0, 0, 0, -63, -81]$ |
\(y^2=x^3-63x-81\) |
2258.2.0.? |
$[(-3, 9), (9, 9)]$ |
$1$ |
| 81288.h1 |
81288c1 |
81288.h |
81288c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{22} \cdot 1129^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4300800$ |
$2.712357$ |
$246235768243397775616/61947231401939769$ |
$1.06654$ |
$4.98128$ |
$[0, 0, 0, -2961363, 1474740191]$ |
\(y^2=x^3-2961363x+1474740191\) |
2258.2.0.? |
$[ ]$ |
$1$ |
| 81288.i1 |
81288q1 |
81288.i |
81288q |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{14} \cdot 1129 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.359764$ |
$4366326513669376/7407369$ |
$0.91262$ |
$4.01362$ |
$[0, 0, 0, -77223, -8259761]$ |
\(y^2=x^3-77223x-8259761\) |
2258.2.0.? |
$[ ]$ |
$1$ |
| 81288.j1 |
81288o1 |
81288.j |
81288o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( - 2^{4} \cdot 3^{11} \cdot 1129 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6774$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24320$ |
$0.510449$ |
$-87808000/274347$ |
$0.78487$ |
$2.61027$ |
$[0, 0, 0, -210, -2963]$ |
\(y^2=x^3-210x-2963\) |
6774.2.0.? |
$[ ]$ |
$1$ |
| 81288.k1 |
81288j1 |
81288.k |
81288j |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{16} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1.072666996$ |
$1$ |
|
$4$ |
$87040$ |
$0.971328$ |
$116417691904/66666321$ |
$0.89410$ |
$3.08203$ |
$[0, 0, 0, -2307, 4363]$ |
\(y^2=x^3-2307x+4363\) |
2258.2.0.? |
$[(173, 2187)]$ |
$1$ |
| 81288.l1 |
81288p1 |
81288.l |
81288p |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{8} \cdot 1129 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$0.827370686$ |
$1$ |
|
$10$ |
$18432$ |
$0.251553$ |
$30118144/10161$ |
$0.77470$ |
$2.35145$ |
$[0, 0, 0, -147, 443]$ |
\(y^2=x^3-147x+443\) |
2258.2.0.? |
$[(-11, 27), (-2, 27)]$ |
$1$ |
| 81288.m1 |
81288b1 |
81288.m |
81288b |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{8} \cdot 1129 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52224$ |
$0.795691$ |
$4651700272384/10161$ |
$0.85649$ |
$3.40822$ |
$[0, 0, 0, -7887, -269597]$ |
\(y^2=x^3-7887x-269597\) |
2258.2.0.? |
$[ ]$ |
$1$ |
| 81288.n1 |
81288a1 |
81288.n |
81288a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( - 2^{8} \cdot 3^{9} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6774$ |
$2$ |
$0$ |
$1.544793669$ |
$1$ |
|
$2$ |
$33792$ |
$0.551254$ |
$11664/1129$ |
$0.64607$ |
$2.64560$ |
$[0, 0, 0, 81, 3618]$ |
\(y^2=x^3+81x+3618\) |
6774.2.0.? |
$[(-6, 54)]$ |
$1$ |
| 81288.o1 |
81288s2 |
81288.o |
81288s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{11} \cdot 3^{7} \cdot 1129^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$27096$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$101376$ |
$1.138294$ |
$6927025394/3823923$ |
$0.97010$ |
$3.26161$ |
$[0, 0, 0, -4539, 25270]$ |
\(y^2=x^3-4539x+25270\) |
2.3.0.a.1, 24.6.0.a.1, 4516.6.0.?, 27096.12.0.? |
$[ ]$ |
$1$ |
| 81288.o2 |
81288s1 |
81288.o |
81288s |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{10} \cdot 3^{8} \cdot 1129 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$27096$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$50688$ |
$0.791721$ |
$6131234308/10161$ |
$0.79980$ |
$3.18951$ |
$[0, 0, 0, -3459, 78190]$ |
\(y^2=x^3-3459x+78190\) |
2.3.0.a.1, 24.6.0.d.1, 2258.6.0.?, 27096.12.0.? |
$[ ]$ |
$1$ |
| 81288.p1 |
81288g1 |
81288.p |
81288g |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{10} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$0.778132585$ |
$1$ |
|
$4$ |
$43008$ |
$0.430974$ |
$233644288/91449$ |
$0.74119$ |
$2.53265$ |
$[0, 0, 0, -291, 1087]$ |
\(y^2=x^3-291x+1087\) |
2258.2.0.? |
$[(23, 81)]$ |
$1$ |
| 81288.q1 |
81288n1 |
81288.q |
81288n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{10} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$0.730551989$ |
$1$ |
|
$4$ |
$34816$ |
$0.471143$ |
$990692608/91449$ |
$0.75019$ |
$2.66043$ |
$[0, 0, 0, -471, 3607]$ |
\(y^2=x^3-471x+3607\) |
2258.2.0.? |
$[(-7, 81)]$ |
$1$ |
| 81288.r1 |
81288f1 |
81288.r |
81288f |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{26} \cdot 1129 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$788480$ |
$1.889072$ |
$7580093405939968/3936579588729$ |
$0.94684$ |
$4.06241$ |
$[0, 0, 0, -92811, -3485873]$ |
\(y^2=x^3-92811x-3485873\) |
2258.2.0.? |
$[ ]$ |
$1$ |
| 81288.s1 |
81288e1 |
81288.s |
81288e |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{14} \cdot 1129 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86016$ |
$0.839764$ |
$86683871488/7407369$ |
$0.81495$ |
$3.05595$ |
$[0, 0, 0, -2091, -33977]$ |
\(y^2=x^3-2091x-33977\) |
2258.2.0.? |
$[ ]$ |
$1$ |
