| 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 |
| 1518.p1 |
1518p2 |
1518.p |
1518p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6072$ |
$16$ |
$0$ |
$1.120085768$ |
$1$ |
|
$4$ |
$2592$ |
$0.776730$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.05752$ |
$[1, 0, 0, -4807, -128671]$ |
\(y^2+xy=x^3-4807x-128671\) |
3.8.0-3.a.1.1, 2024.2.0.?, 6072.16.0.? |
$[(-40, 23)]$ |
| 4554.o1 |
4554p2 |
4554.o |
4554p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$20736$ |
$1.326035$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.18044$ |
$[1, -1, 0, -43263, 3474117]$ |
\(y^2+xy=x^3-x^2-43263x+3474117\) |
3.8.0-3.a.1.2, 2024.2.0.?, 6072.16.0.? |
$[ ]$ |
| 12144.b1 |
12144z2 |
12144.b |
12144z |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{3} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$0.092868635$ |
$1$ |
|
$28$ |
$62208$ |
$1.469877$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.82369$ |
$[0, -1, 0, -76912, 8234944]$ |
\(y^2=x^3-x^2-76912x+8234944\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 2024.2.0.?, 6072.16.0.? |
$[(-168, 4048), (184, 528)]$ |
| 16698.m1 |
16698t2 |
16698.m |
16698t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{9} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1.096979056$ |
$1$ |
|
$2$ |
$311040$ |
$1.975677$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.28996$ |
$[1, 0, 1, -581650, 170679452]$ |
\(y^2+xy+y=x^3-581650x+170679452\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 552.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[(384, 1804)]$ |
| 34914.bh1 |
34914bi2 |
34914.bh |
34914bi |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$0.584869178$ |
$1$ |
|
$4$ |
$1368576$ |
$2.344475$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.34002$ |
$[1, 0, 0, -2542914, 1560454236]$ |
\(y^2+xy=x^3-2542914x+1560454236\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 264.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[(90, 36456)]$ |
| 36432.cl1 |
36432bm2 |
36432.cl |
36432bm |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{15} \cdot 3^{8} \cdot 11^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$10.52469377$ |
$1$ |
|
$0$ |
$497664$ |
$2.019184$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.94673$ |
$[0, 0, 0, -692211, -221651278]$ |
\(y^2=x^3-692211x-221651278\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 2024.2.0.?, 6072.16.0.? |
$[(-1056593/47, 11468538/47)]$ |
| 37950.l1 |
37950f2 |
37950.l |
37950f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{6} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$279936$ |
$1.581448$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.42940$ |
$[1, 1, 0, -120175, -16083875]$ |
\(y^2+xy=x^3+x^2-120175x-16083875\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 2024.2.0.?, 6072.8.0.?, 30360.16.0.? |
$[ ]$ |
| 48576.bu1 |
48576t2 |
48576.bu |
48576t |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{21} \cdot 3^{2} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.816450$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.58941$ |
$[0, -1, 0, -307649, -65571903]$ |
\(y^2=x^3-x^2-307649x-65571903\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 1518.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[ ]$ |
| 48576.dt1 |
48576df2 |
48576.dt |
48576df |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{21} \cdot 3^{2} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.816450$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.58941$ |
$[0, 1, 0, -307649, 65571903]$ |
\(y^2=x^3+x^2-307649x+65571903\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 2024.2.0.?, 3036.8.0.?, 6072.16.0.? |
$[ ]$ |
| 50094.ck1 |
50094cl2 |
50094.ck |
50094cl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{9} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$3.518825227$ |
$1$ |
|
$0$ |
$2488320$ |
$2.524982$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.36204$ |
$[1, -1, 1, -5234846, -4608345211]$ |
\(y^2+xy+y=x^3-x^2-5234846x-4608345211\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 552.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[(-5301/2, 941/2)]$ |
| 74382.bi1 |
74382y2 |
74382.bi |
74382y |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 7^{6} \cdot 11^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$3.449640963$ |
$1$ |
|
$2$ |
$979776$ |
$1.749685$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.34365$ |
$[1, 1, 1, -235544, 43898609]$ |
\(y^2+xy+y=x^3+x^2-235544x+43898609\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 2024.2.0.?, 6072.8.0.?, 42504.16.0.? |
$[(267, 229)]$ |
| 104742.e1 |
104742o2 |
104742.e |
104742o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$7.262743359$ |
$1$ |
|
$0$ |
$10948608$ |
$2.893784$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.40275$ |
$[1, -1, 0, -22886226, -42132264372]$ |
\(y^2+xy=x^3-x^2-22886226x-42132264372\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 264.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[(-469221/13, 214761/13)]$ |
| 113850.ez1 |
113850ep2 |
113850.ez |
113850ep |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{6} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2239488$ |
$2.130753$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.57761$ |
$[1, -1, 1, -1081580, 433183047]$ |
\(y^2+xy+y=x^3-x^2-1081580x+433183047\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 2024.2.0.?, 6072.8.0.?, 30360.16.0.? |
$[ ]$ |
| 133584.f1 |
133584bl2 |
133584.f |
133584bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{9} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7464960$ |
$2.668823$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.06268$ |
$[0, -1, 0, -9306392, -10923484944]$ |
\(y^2=x^3-x^2-9306392x-10923484944\) |
3.4.0.a.1, 132.8.0.?, 552.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[ ]$ |
| 145728.w1 |
145728eh2 |
145728.w |
145728eh |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{21} \cdot 3^{8} \cdot 11^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$0.632828714$ |
$1$ |
|
$4$ |
$3981312$ |
$2.365757$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.71975$ |
$[0, 0, 0, -2768844, 1773210224]$ |
\(y^2=x^3-2768844x+1773210224\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 1518.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[(1198, 13248)]$ |
| 145728.bb1 |
145728j2 |
145728.bb |
145728j |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{21} \cdot 3^{8} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3981312$ |
$2.365757$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.71975$ |
$[0, 0, 0, -2768844, -1773210224]$ |
\(y^2=x^3-2768844x-1773210224\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 2024.2.0.?, 3036.8.0.?, 6072.16.0.? |
$[ ]$ |
| 223146.j1 |
223146cn2 |
223146.j |
223146cn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{3} \cdot 3^{8} \cdot 7^{6} \cdot 11^{3} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$1.987665665$ |
$1$ |
|
$2$ |
$7838208$ |
$2.298992$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.49140$ |
$[1, -1, 0, -2119896, -1187382344]$ |
\(y^2+xy=x^3-x^2-2119896x-1187382344\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 2024.2.0.?, 6072.8.0.?, 42504.16.0.? |
$[(-841, 731)]$ |
| 256542.bv1 |
256542bv2 |
256542.bv |
256542bv |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{3} \cdot 13^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$78936$ |
$16$ |
$0$ |
$9.813030722$ |
$1$ |
|
$0$ |
$4572288$ |
$2.059204$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.21008$ |
$[1, 0, 1, -812387, -281877802]$ |
\(y^2+xy+y=x^3-812387x-281877802\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 2024.2.0.?, 6072.8.0.?, 78936.16.0.? |
$[(-149514/17, 828836/17)]$ |
| 279312.br1 |
279312br2 |
279312.br |
279312br |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 11^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$8.011156173$ |
$1$ |
|
$0$ |
$32845824$ |
$3.037624$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.11781$ |
$[0, -1, 0, -40686624, -99869071104]$ |
\(y^2=x^3-x^2-40686624x-99869071104\) |
3.4.0.a.1, 264.8.0.?, 276.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[(715776/5, 589018224/5)]$ |
| 303600.gm1 |
303600gm2 |
303600.gm |
303600gm |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{6} \cdot 11^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6718464$ |
$2.274597$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.35867$ |
$[0, 1, 0, -1922808, 1025522388]$ |
\(y^2=x^3+x^2-1922808x+1025522388\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 2024.2.0.?, 6072.8.0.?, 30360.16.0.? |
$[ ]$ |
| 384054.bu1 |
384054bu2 |
384054.bu |
384054bu |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{9} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$164229120$ |
$3.543423$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.46310$ |
$[1, 0, 1, -307692597, -2077272280712]$ |
\(y^2+xy+y=x^3-307692597x-2077272280712\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 759.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[ ]$ |
| 400752.fv1 |
400752fv2 |
400752.fv |
400752fv |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{8} \cdot 11^{9} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$59719680$ |
$3.218132$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$5.14250$ |
$[0, 0, 0, -83757531, 295017851018]$ |
\(y^2=x^3-83757531x+295017851018\) |
3.4.0.a.1, 132.8.0.?, 552.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[ ]$ |
| 417450.fd1 |
417450fd2 |
417450.fd |
417450fd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{6} \cdot 11^{9} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30360$ |
$16$ |
$0$ |
$1.288317224$ |
$1$ |
|
$10$ |
$33592320$ |
$2.780396$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.72040$ |
$[1, 1, 1, -14541238, 21334931531]$ |
\(y^2+xy+y=x^3+x^2-14541238x+21334931531\) |
3.4.0.a.1, 165.8.0.?, 2024.2.0.?, 2760.8.0.?, 6072.8.0.?, $\ldots$ |
$[(3251, 90213), (-17609/2, 78831/2)]$ |
| 438702.bt1 |
438702bt2 |
438702.bt |
438702bt |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \cdot 23 \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{3} \cdot 17^{6} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$103224$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13063680$ |
$2.193336$ |
$12284337086925553/1165987944$ |
$0.96988$ |
$4.16011$ |
$[1, 1, 1, -1389229, -630771397]$ |
\(y^2+xy+y=x^3+x^2-1389229x-630771397\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 2024.2.0.?, 6072.8.0.?, 103224.16.0.? |
$[ ]$ |
