| 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 |
| 11550.be1 |
11550bg1 |
11550.be |
11550bg |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{3} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1555200$ |
$3.231491$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.94974$ |
$[1, 0, 1, -53606326, 151503794048]$ |
\(y^2+xy+y=x^3-53606326x+151503794048\) |
3.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[]$ |
| 11550.bn1 |
11550bj1 |
11550.bn |
11550bj |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{3} \cdot 3^{24} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$2.426773$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.91744$ |
$[1, 1, 1, -2144253, 1211172651]$ |
\(y^2+xy+y=x^3+x^2-2144253x+1211172651\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[]$ |
| 34650.t1 |
34650n1 |
34650.t |
34650n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{3} \cdot 3^{30} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$8.899153144$ |
$1$ |
|
$0$ |
$2488320$ |
$2.976078$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.92612$ |
$[1, -1, 0, -19298277, -32720959859]$ |
\(y^2+xy=x^3-x^2-19298277x-32720959859\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[(224159/5, 89147413/5)]$ |
| 34650.ed1 |
34650ej1 |
34650.ed |
34650ej |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{3} \cdot 3^{30} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$264$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$12441600$ |
$3.780796$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.84993$ |
$[1, -1, 1, -482456930, -4090602439303]$ |
\(y^2+xy+y=x^3-x^2-482456930x-4090602439303\) |
3.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[]$ |
| 80850.l1 |
80850bb1 |
80850.l |
80850bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{24} \cdot 5^{8} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$89.22869129$ |
$1$ |
|
$0$ |
$74649600$ |
$4.204445$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.78620$ |
$[1, 1, 0, -2626709950, -51968428068500]$ |
\(y^2+xy=x^3+x^2-2626709950x-51968428068500\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[(2640889637018385389973947589501182728028539/2840379107050073999, 4231768528643082104219163028898976432928056822198209907092180249/2840379107050073999)]$ |
| 80850.fw1 |
80850ft1 |
80850.fw |
80850ft |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{24} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9240$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14929920$ |
$3.399727$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.93166$ |
$[1, 0, 0, -105068398, -415747424548]$ |
\(y^2+xy=x^3-105068398x-415747424548\) |
3.4.0.a.1, 88.2.0.?, 105.8.0.?, 264.8.0.?, 9240.16.0.? |
$[]$ |
| 92400.bc1 |
92400fb1 |
92400.bc |
92400fb |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{15} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37324800$ |
$3.924637$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.41328$ |
$[0, -1, 0, -857701208, -9696242819088]$ |
\(y^2=x^3-x^2-857701208x-9696242819088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[]$ |
| 92400.hz1 |
92400hc1 |
92400.hz |
92400hc |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{15} \cdot 3^{24} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.512677416$ |
$1$ |
|
$6$ |
$7464960$ |
$3.119919$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.56872$ |
$[0, 1, 0, -34308048, -77583665772]$ |
\(y^2=x^3+x^2-34308048x-77583665772\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[(23442, 3464208)]$ |
| 127050.bj1 |
127050y1 |
127050.bj |
127050y |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{24} \cdot 5^{2} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$23.04788056$ |
$1$ |
|
$0$ |
$37324800$ |
$3.625717$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.93428$ |
$[1, 1, 0, -259454615, -1613368071795]$ |
\(y^2+xy=x^3+x^2-259454615x-1613368071795\) |
3.4.0.a.1, 88.2.0.?, 120.8.0.?, 165.8.0.?, 264.8.0.?, $\ldots$ |
$[(214552451333909/15845, 3140420569434839667712/15845)]$ |
| 127050.hw1 |
127050ip1 |
127050.hw |
127050ip |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1.928551976$ |
$1$ |
|
$4$ |
$186624000$ |
$4.430435$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.75596$ |
$[1, 0, 0, -6486365388, -201658036243608]$ |
\(y^2+xy=x^3-6486365388x-201658036243608\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 33.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[(125502, 30937974)]$ |
| 242550.fj1 |
242550fj1 |
242550.fj |
242550fj |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{30} \cdot 5^{2} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9240$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$119439360$ |
$3.949032$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.93771$ |
$[1, -1, 0, -945615582, 11225180462796]$ |
\(y^2+xy=x^3-x^2-945615582x+11225180462796\) |
3.4.0.a.1, 88.2.0.?, 105.8.0.?, 264.8.0.?, 9240.16.0.? |
$[]$ |
| 242550.ng1 |
242550ng1 |
242550.ng |
242550ng |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{30} \cdot 5^{8} \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$597196800$ |
$4.753754$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.71654$ |
$[1, -1, 1, -23640389555, 1403123917459947]$ |
\(y^2+xy+y=x^3-x^2-23640389555x+1403123917459947\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[]$ |
| 277200.bk1 |
277200bk1 |
277200.bk |
277200bk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{15} \cdot 3^{30} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$298598400$ |
$4.473946$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.37705$ |
$[0, 0, 0, -7719310875, 261806275426250]$ |
\(y^2=x^3-7719310875x+261806275426250\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[]$ |
| 277200.jg1 |
277200jg1 |
277200.jg |
277200jg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{15} \cdot 3^{30} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$59719680$ |
$3.669224$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.60653$ |
$[0, 0, 0, -308772435, 2094450203410]$ |
\(y^2=x^3-308772435x+2094450203410\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[]$ |
| 369600.hu1 |
369600hu1 |
369600.hu |
369600hu |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{21} \cdot 3^{24} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$41.57617689$ |
$1$ |
|
$0$ |
$59719680$ |
$3.466492$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.29096$ |
$[0, -1, 0, -137232193, -620532093983]$ |
\(y^2=x^3-x^2-137232193x-620532093983\) |
3.4.0.a.1, 88.2.0.?, 120.8.0.?, 264.8.0.?, 660.8.0.?, $\ldots$ |
$[(3012548512453132052419/451397963, 70174358504460092648079810902196/451397963)]$ |
| 369600.kv1 |
369600kv1 |
369600.kv |
369600kv |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{21} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$7.394990186$ |
$1$ |
|
$6$ |
$298598400$ |
$4.271210$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.04419$ |
$[0, -1, 0, -3430804833, 77573373357537]$ |
\(y^2=x^3-x^2-3430804833x+77573373357537\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 66.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[(1067841/5, 374134464/5), (21456, 3720087)]$ |
| 369600.ni1 |
369600ni1 |
369600.ni |
369600ni |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{21} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$298598400$ |
$4.271210$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.04419$ |
$[0, 1, 0, -3430804833, -77573373357537]$ |
\(y^2=x^3+x^2-3430804833x-77573373357537\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 88.2.0.?, 132.8.0.?, 264.16.0.? |
$[]$ |
| 369600.pm1 |
369600pm1 |
369600.pm |
369600pm |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{21} \cdot 3^{24} \cdot 5^{2} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.416666200$ |
$1$ |
|
$4$ |
$59719680$ |
$3.466492$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.29096$ |
$[0, 1, 0, -137232193, 620532093983]$ |
\(y^2=x^3+x^2-137232193x+620532093983\) |
3.4.0.a.1, 88.2.0.?, 120.8.0.?, 264.8.0.?, 330.8.0.?, $\ldots$ |
$[(1229, 673596)]$ |
| 381150.cm1 |
381150cm1 |
381150.cm |
381150cm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{30} \cdot 5^{8} \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1492992000$ |
$4.979744$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$6.69134$ |
$[1, -1, 0, -58377288492, 5444766978577416]$ |
\(y^2+xy=x^3-x^2-58377288492x+5444766978577416\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 33.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[]$ |
| 381150.oo1 |
381150oo1 |
381150.oo |
381150oo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{3} \cdot 3^{30} \cdot 5^{2} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$6.887620856$ |
$1$ |
|
$2$ |
$298598400$ |
$4.175026$ |
$-43612581618346739773945/147358175518034712$ |
$1.11938$ |
$5.93990$ |
$[1, -1, 1, -2335091540, 43558602846927]$ |
\(y^2+xy+y=x^3-x^2-2335091540x+43558602846927\) |
3.4.0.a.1, 88.2.0.?, 120.8.0.?, 165.8.0.?, 264.8.0.?, $\ldots$ |
$[(312623, 172664721)]$ |
