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 |
2442.i2 |
2442h1 |
2442.i |
2442h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3 \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21120$ |
$1.774017$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.72380$ |
$[1, 0, 0, -60583, 2688329]$ |
\(y^2+xy=x^3-60583x+2688329\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
7326.b2 |
7326d1 |
7326.b |
7326d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3^{7} \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$168960$ |
$2.323326$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.75790$ |
$[1, -1, 0, -545247, -72584883]$ |
\(y^2+xy=x^3-x^2-545247x-72584883\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
19536.d2 |
19536x1 |
19536.d |
19536x |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{36} \cdot 3 \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$506880$ |
$2.467167$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.36099$ |
$[0, -1, 0, -969328, -172053056]$ |
\(y^2=x^3-x^2-969328x-172053056\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
26862.f2 |
26862j1 |
26862.f |
26862j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{24} \cdot 3 \cdot 11^{11} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2534400$ |
$2.972965$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.78874$ |
$[1, 0, 1, -7330546, -3585496444]$ |
\(y^2+xy+y=x^3-7330546x-3585496444\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
58608.p2 |
58608bf1 |
58608.p |
58608bf |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{36} \cdot 3^{7} \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4055040$ |
$3.016472$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.42494$ |
$[0, 0, 0, -8723955, 4654156466]$ |
\(y^2=x^3-8723955x+4654156466\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
61050.b2 |
61050e1 |
61050.b |
61050e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3 \cdot 5^{6} \cdot 11^{5} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$6.161252130$ |
$1$ |
|
$1$ |
$3041280$ |
$2.578735$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$4.92815$ |
$[1, 1, 0, -1514575, 336041125]$ |
\(y^2+xy=x^3+x^2-1514575x+336041125\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(11155/3, 498955/3)]$ |
78144.bc2 |
78144n1 |
78144.bc |
78144n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{42} \cdot 3 \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4055040$ |
$2.813740$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.07048$ |
$[0, -1, 0, -3877313, 1380301761]$ |
\(y^2=x^3-x^2-3877313x+1380301761\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
78144.cg2 |
78144cr1 |
78144.cg |
78144cr |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( 2^{42} \cdot 3 \cdot 11^{5} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$24.68337631$ |
$1$ |
|
$1$ |
$4055040$ |
$2.813740$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.07048$ |
$[0, 1, 0, -3877313, -1380301761]$ |
\(y^2=x^3+x^2-3877313x-1380301761\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(-130306962827/18489, 41176978474268764/18489)]$ |
80586.x2 |
80586bi1 |
80586.x |
80586bi |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{24} \cdot 3^{7} \cdot 11^{11} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1.309398748$ |
$1$ |
|
$9$ |
$20275200$ |
$3.522270$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.80928$ |
$[1, -1, 1, -65974910, 96808403981]$ |
\(y^2+xy+y=x^3-x^2-65974910x+96808403981\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(-8423, 238467)]$ |
90354.j2 |
90354i1 |
90354.j |
90354i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( 2^{24} \cdot 3 \cdot 11^{5} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$28892160$ |
$3.579475$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.81120$ |
$[1, 0, 1, -82938156, 136420743274]$ |
\(y^2+xy+y=x^3-82938156x+136420743274\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
119658.cf2 |
119658ce1 |
119658.cf |
119658ce |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3 \cdot 7^{6} \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6082560$ |
$2.746975$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$4.81718$ |
$[1, 1, 1, -2968568, -925065415]$ |
\(y^2+xy+y=x^3+x^2-2968568x-925065415\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
183150.di2 |
183150bb1 |
183150.di |
183150bb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3^{7} \cdot 5^{6} \cdot 11^{5} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$0.450498755$ |
$1$ |
|
$39$ |
$24330240$ |
$3.128044$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.02533$ |
$[1, -1, 1, -13631180, -9086741553]$ |
\(y^2+xy+y=x^3-x^2-13631180x-9086741553\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(5765, 319461), (-1561, 92355)]$ |
214896.w2 |
214896be1 |
214896.w |
214896be |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( 2^{36} \cdot 3 \cdot 11^{11} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$60825600$ |
$3.666115$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.48579$ |
$[0, -1, 0, -117288728, 229471772400]$ |
\(y^2=x^3-x^2-117288728x+229471772400\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
234432.bs2 |
234432bs1 |
234432.bs |
234432bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{42} \cdot 3^{7} \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32440320$ |
$3.363045$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.15306$ |
$[0, 0, 0, -34895820, 37233251728]$ |
\(y^2=x^3-34895820x+37233251728\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
234432.cv2 |
234432cv1 |
234432.cv |
234432cv |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( 2^{42} \cdot 3^{7} \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$32440320$ |
$3.363045$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.15306$ |
$[0, 0, 0, -34895820, -37233251728]$ |
\(y^2=x^3-34895820x-37233251728\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
271062.bc2 |
271062bc1 |
271062.bc |
271062bc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( 2^{24} \cdot 3^{7} \cdot 11^{5} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$231137280$ |
$4.128784$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$5.82778$ |
$[1, -1, 1, -746443400, -3683360068405]$ |
\(y^2+xy+y=x^3-x^2-746443400x-3683360068405\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |
358974.bj2 |
358974bj1 |
358974.bj |
358974bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( 2^{24} \cdot 3^{7} \cdot 7^{6} \cdot 11^{5} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1.699485385$ |
$1$ |
|
$7$ |
$48660480$ |
$3.296280$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$4.91877$ |
$[1, -1, 0, -26717112, 24950049088]$ |
\(y^2+xy=x^3-x^2-26717112x+24950049088\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(-1488, 248552)]$ |
412698.be2 |
412698be1 |
412698.be |
412698be |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \) |
\( 2^{24} \cdot 3 \cdot 11^{5} \cdot 13^{6} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$6.907408443$ |
$1$ |
|
$3$ |
$45619200$ |
$3.056492$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$4.64319$ |
$[1, 0, 1, -10238531, 5916497342]$ |
\(y^2+xy+y=x^3-10238531x+5916497342\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[(1403468, 1661955333)]$ |
488400.ho2 |
488400ho1 |
488400.ho |
488400ho |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( 2^{36} \cdot 3 \cdot 5^{6} \cdot 11^{5} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$72990720$ |
$3.271885$ |
$24591016773082896625/11097062309363712$ |
$1.00898$ |
$4.78081$ |
$[0, 1, 0, -24233208, -21555098412]$ |
\(y^2=x^3+x^2-24233208x-21555098412\) |
2.3.0.a.1, 66.6.0.a.1, 148.6.0.?, 4884.12.0.? |
$[]$ |