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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
5610.r2 |
5610q2 |
5610.r |
5610q |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$11220$ |
$16$ |
$0$ |
$2.057992419$ |
$1$ |
|
$2$ |
$4320$ |
$0.568194$ |
$8339492177639/6277634880$ |
$[1, 0, 1, 422, 1868]$ |
\(y^2+xy+y=x^3+422x+1868\) |
3.8.0-3.a.1.1, 11220.16.0.? |
$[(-3, 25)]$ |
16830.bo2 |
16830cg2 |
16830.bo |
16830cg |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$11220$ |
$16$ |
$0$ |
$0.651851155$ |
$1$ |
|
$12$ |
$34560$ |
$1.117500$ |
$8339492177639/6277634880$ |
$[1, -1, 1, 3802, -50443]$ |
\(y^2+xy+y=x^3-x^2+3802x-50443\) |
3.8.0-3.a.1.2, 11220.16.0.? |
$[(15, 91)]$ |
28050.cn2 |
28050cb2 |
28050.cn |
28050cb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 5^{7} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$0.258299434$ |
$1$ |
|
$8$ |
$103680$ |
$1.372913$ |
$8339492177639/6277634880$ |
$[1, 1, 1, 10562, 233531]$ |
\(y^2+xy+y=x^3+x^2+10562x+233531\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 2244.8.0.?, 11220.16.0.? |
$[(-5, 427)]$ |
44880.be2 |
44880bw2 |
44880.be |
44880bw |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{18} \cdot 3 \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.261341$ |
$8339492177639/6277634880$ |
$[0, -1, 0, 6760, -119568]$ |
\(y^2=x^3-x^2+6760x-119568\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 5610.8.0.?, 11220.16.0.? |
$[]$ |
61710.cx2 |
61710cy2 |
61710.cx |
61710cy |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 5 \cdot 11^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.767141$ |
$8339492177639/6277634880$ |
$[1, 0, 0, 51120, -2435520]$ |
\(y^2+xy=x^3+51120x-2435520\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 1020.8.0.?, 11220.16.0.? |
$[]$ |
84150.ci2 |
84150ce2 |
84150.ci |
84150ce |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1.047781381$ |
$1$ |
|
$4$ |
$829440$ |
$1.922220$ |
$8339492177639/6277634880$ |
$[1, -1, 0, 95058, -6210284]$ |
\(y^2+xy=x^3-x^2+95058x-6210284\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 2244.8.0.?, 11220.16.0.? |
$[(404, 9698)]$ |
95370.h2 |
95370g2 |
95370.h |
95370g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5 \cdot 11^{3} \cdot 17^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1.433564653$ |
$1$ |
|
$8$ |
$1244160$ |
$1.984800$ |
$8339492177639/6277634880$ |
$[1, 1, 0, 122097, 9056613]$ |
\(y^2+xy=x^3+x^2+122097x+9056613\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 660.8.0.?, 11220.16.0.? |
$[(851, 26596), (61702/3, 15255659/3)]$ |
134640.bs2 |
134640cf2 |
134640.bs |
134640cf |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.810648$ |
$8339492177639/6277634880$ |
$[0, 0, 0, 60837, 3167498]$ |
\(y^2=x^3+60837x+3167498\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 5610.8.0.?, 11220.16.0.? |
$[]$ |
179520.t2 |
179520hv2 |
179520.t |
179520hv |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{24} \cdot 3 \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.607916$ |
$8339492177639/6277634880$ |
$[0, -1, 0, 27039, 929505]$ |
\(y^2=x^3-x^2+27039x+929505\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 11220.8.0.?, 22440.16.0.? |
$[]$ |
179520.fn2 |
179520bq2 |
179520.fn |
179520bq |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{24} \cdot 3 \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$22440$ |
$16$ |
$0$ |
$7.410446953$ |
$1$ |
|
$0$ |
$829440$ |
$1.607916$ |
$8339492177639/6277634880$ |
$[0, 1, 0, 27039, -929505]$ |
\(y^2=x^3+x^2+27039x-929505\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 11220.8.0.?, 22440.16.0.? |
$[(24671/11, 4817664/11)]$ |
185130.w2 |
185130ei2 |
185130.w |
185130ei |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1.181022778$ |
$1$ |
|
$2$ |
$4147200$ |
$2.316448$ |
$8339492177639/6277634880$ |
$[1, -1, 0, 460080, 65759040]$ |
\(y^2+xy=x^3-x^2+460080x+65759040\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 1020.8.0.?, 11220.16.0.? |
$[(2016, 94824)]$ |
224400.gc2 |
224400by2 |
224400.gc |
224400by |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{18} \cdot 3 \cdot 5^{7} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$0.815139956$ |
$1$ |
|
$2$ |
$2488320$ |
$2.066059$ |
$8339492177639/6277634880$ |
$[0, 1, 0, 168992, -14608012]$ |
\(y^2=x^3+x^2+168992x-14608012\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 1122.8.0.?, 11220.16.0.? |
$[(868, 28050)]$ |
274890.b2 |
274890b2 |
274890.b |
274890b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$78540$ |
$16$ |
$0$ |
$2.419683110$ |
$1$ |
|
$2$ |
$1632960$ |
$1.541149$ |
$8339492177639/6277634880$ |
$[1, 1, 0, 20702, -620108]$ |
\(y^2+xy=x^3+x^2+20702x-620108\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 11220.8.0.?, 78540.16.0.? |
$[(108, 1646)]$ |
286110.gh2 |
286110gh2 |
286110.gh |
286110gh |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 5 \cdot 11^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9953280$ |
$2.534107$ |
$8339492177639/6277634880$ |
$[1, -1, 1, 1098868, -243429681]$ |
\(y^2+xy+y=x^3-x^2+1098868x-243429681\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 660.8.0.?, 11220.16.0.? |
$[]$ |
308550.bc2 |
308550bc2 |
308550.bc |
308550bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3 \cdot 5^{7} \cdot 11^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12441600$ |
$2.571861$ |
$8339492177639/6277634880$ |
$[1, 1, 0, 1278000, -304440000]$ |
\(y^2+xy=x^3+x^2+1278000x-304440000\) |
3.4.0.a.1, 165.8.0.?, 204.8.0.?, 11220.16.0.? |
$[]$ |
476850.jd2 |
476850jd2 |
476850.jd |
476850jd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{7} \cdot 11^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29859840$ |
$2.789520$ |
$8339492177639/6277634880$ |
$[1, 0, 0, 3052412, 1125971792]$ |
\(y^2+xy=x^3+3052412x+1125971792\) |
3.4.0.a.1, 132.8.0.?, 255.8.0.?, 11220.16.0.? |
$[]$ |
493680.cv2 |
493680cv2 |
493680.cv |
493680cv |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{18} \cdot 3 \cdot 5 \cdot 11^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11220$ |
$16$ |
$0$ |
$2.046217604$ |
$1$ |
|
$2$ |
$12441600$ |
$2.460289$ |
$8339492177639/6277634880$ |
$[0, -1, 0, 817920, 155873280]$ |
\(y^2=x^3-x^2+817920x+155873280\) |
3.4.0.a.1, 132.8.0.?, 510.8.0.?, 11220.16.0.? |
$[(26, 13310)]$ |