| 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 |
| 4046.j1 |
4046j1 |
4046.j |
4046j |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 7^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51408$ |
$2.008343$ |
$-11060825617/2744$ |
$0.96546$ |
$6.19581$ |
$[1, 1, 1, -586387, 172624905]$ |
\(y^2+xy+y=x^3+x^2-586387x+172624905\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 2856.16.0.? |
$[]$ |
| 4046.r1 |
4046r1 |
4046.r |
4046r |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 7^{3} \cdot 17^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3024$ |
$0.591738$ |
$-11060825617/2744$ |
$0.96546$ |
$4.14906$ |
$[1, 0, 0, -2029, 35017]$ |
\(y^2+xy=x^3-2029x+35017\) |
3.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 28322.s1 |
28322bi1 |
28322.s |
28322bi |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 7^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.564693$ |
$-11060825617/2744$ |
$0.96546$ |
$4.50040$ |
$[1, 1, 1, -99422, -12110253]$ |
\(y^2+xy+y=x^3+x^2-99422x-12110253\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 24.8.0-3.a.1.6, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 28322.bg1 |
28322v1 |
28322.bg |
28322v |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 7^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$29.52369994$ |
$1$ |
|
$0$ |
$2467584$ |
$2.981300$ |
$-11060825617/2744$ |
$0.96546$ |
$6.15865$ |
$[1, 0, 0, -28732964, -59296541368]$ |
\(y^2+xy=x^3-28732964x-59296541368\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 357.8.0.?, 408.8.0.?, $\ldots$ |
$[(317229732389686/7113, 5649030873741726728500/7113)]$ |
| 32368.o1 |
32368q1 |
32368.o |
32368q |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 7^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.738384860$ |
$1$ |
|
$2$ |
$72576$ |
$1.284885$ |
$-11060825617/2744$ |
$0.96546$ |
$4.11921$ |
$[0, -1, 0, -32464, -2241088]$ |
\(y^2=x^3-x^2-32464x-2241088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[(584, 13328)]$ |
| 32368.w1 |
32368y1 |
32368.w |
32368y |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 7^{3} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$10.79080652$ |
$1$ |
|
$0$ |
$1233792$ |
$2.701492$ |
$-11060825617/2744$ |
$0.96546$ |
$5.75613$ |
$[0, 1, 0, -9382192, -11066758316]$ |
\(y^2=x^3+x^2-9382192x-11066758316\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(896754/13, 653881424/13)]$ |
| 36414.h1 |
36414bn1 |
36414.h |
36414bn |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 7^{3} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$90720$ |
$1.141043$ |
$-11060825617/2744$ |
$0.96546$ |
$3.90867$ |
$[1, -1, 0, -18261, -945459]$ |
\(y^2+xy=x^3-x^2-18261x-945459\) |
3.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 36414.bk1 |
36414u1 |
36414.bk |
36414u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 7^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$1542240$ |
$2.557652$ |
$-11060825617/2744$ |
$0.96546$ |
$5.52723$ |
$[1, -1, 0, -5277483, -4666149923]$ |
\(y^2+xy=x^3-x^2-5277483x-4666149923\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 56.2.0.b.1, 168.8.0.?, 2856.16.0.? |
$[]$ |
| 101150.j1 |
101150l1 |
101150.j |
101150l |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{6} \cdot 7^{3} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$326592$ |
$1.396456$ |
$-11060825617/2744$ |
$0.96546$ |
$3.82812$ |
$[1, 1, 0, -50725, 4377125]$ |
\(y^2+xy=x^3+x^2-50725x+4377125\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 840.16.0.? |
$[]$ |
| 101150.bb1 |
101150r1 |
101150.bb |
101150r |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{6} \cdot 7^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5552064$ |
$2.813065$ |
$-11060825617/2744$ |
$0.96546$ |
$5.30319$ |
$[1, 0, 1, -14659676, 21607432498]$ |
\(y^2+xy+y=x^3-14659676x+21607432498\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 255.8.0.?, 14280.16.0.? |
$[]$ |
| 129472.z1 |
129472bn1 |
129472.z |
129472bn |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 7^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$0.158365947$ |
$1$ |
|
$8$ |
$580608$ |
$1.631458$ |
$-11060825617/2744$ |
$0.96546$ |
$3.98740$ |
$[0, -1, 0, -129857, 18058561]$ |
\(y^2=x^3-x^2-129857x+18058561\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 42.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(465, 7616)]$ |
| 129472.bo1 |
129472dc1 |
129472.bo |
129472dc |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 7^{3} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$18.15707966$ |
$1$ |
|
$0$ |
$9870336$ |
$3.048065$ |
$-11060825617/2744$ |
$0.96546$ |
$5.43154$ |
$[0, -1, 0, -37528769, -88496537759]$ |
\(y^2=x^3-x^2-37528769x-88496537759\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 408.8.0.?, 1428.8.0.?, $\ldots$ |
$[(3063145485/451, 152441763650624/451)]$ |
| 129472.ch1 |
129472cl1 |
129472.ch |
129472cl |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 7^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.234994151$ |
$1$ |
|
$2$ |
$580608$ |
$1.631458$ |
$-11060825617/2744$ |
$0.96546$ |
$3.98740$ |
$[0, 1, 0, -129857, -18058561]$ |
\(y^2=x^3+x^2-129857x-18058561\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 56.2.0.b.1, 84.8.0.?, 168.16.0.? |
$[(623, 11968)]$ |
| 129472.cw1 |
129472d1 |
129472.cw |
129472d |
$2$ |
$3$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 7^{3} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$15.87490660$ |
$1$ |
|
$0$ |
$9870336$ |
$3.048065$ |
$-11060825617/2744$ |
$0.96546$ |
$5.43154$ |
$[0, 1, 0, -37528769, 88496537759]$ |
\(y^2=x^3+x^2-37528769x+88496537759\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 408.8.0.?, 714.8.0.?, $\ldots$ |
$[(318889211/305, 338978055616/305)]$ |
| 226576.bn1 |
226576z1 |
226576.bn |
226576z |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{15} \cdot 7^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$9.837146724$ |
$1$ |
|
$0$ |
$59222016$ |
$3.674446$ |
$-11060825617/2744$ |
$0.96546$ |
$5.79462$ |
$[0, -1, 0, -459727424, 3794978647552]$ |
\(y^2=x^3-x^2-459727424x+3794978647552\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 408.8.0.?, 1428.8.0.?, $\ldots$ |
$[(331824/5, 22070768/5)]$ |
| 226576.cc1 |
226576bk1 |
226576.cc |
226576bk |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{15} \cdot 7^{9} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.343683482$ |
$1$ |
|
$8$ |
$3483648$ |
$2.257839$ |
$-11060825617/2744$ |
$0.96546$ |
$4.41602$ |
$[0, 1, 0, -1590752, 771874676]$ |
\(y^2=x^3+x^2-1590752x+771874676\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 56.2.0.b.1, 84.8.0.?, 168.16.0.? |
$[(842, 5488), (746, 944)]$ |
| 254898.m1 |
254898m1 |
254898.m |
254898m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 7^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$10.70255110$ |
$1$ |
|
$0$ |
$74027520$ |
$3.530605$ |
$-11060825617/2744$ |
$0.96546$ |
$5.60113$ |
$[1, -1, 0, -258596676, 1601006616936]$ |
\(y^2+xy=x^3-x^2-258596676x+1601006616936\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 357.8.0.?, 408.8.0.?, $\ldots$ |
$[(2324221/17, 980030640/17)]$ |
| 254898.do1 |
254898do1 |
254898.do |
254898do |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 7^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4354560$ |
$2.113998$ |
$-11060825617/2744$ |
$0.96546$ |
$4.23558$ |
$[1, -1, 0, -894798, 326082028]$ |
\(y^2+xy=x^3-x^2-894798x+326082028\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 24.8.0-3.a.1.5, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 291312.l1 |
291312l1 |
291312.l |
291312l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 7^{3} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$1.834190$ |
$-11060825617/2744$ |
$0.96546$ |
$3.92376$ |
$[0, 0, 0, -292179, 60801554]$ |
\(y^2=x^3-292179x+60801554\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 291312.fr1 |
291312fr1 |
291312.fr |
291312fr |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 7^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$37013760$ |
$3.250797$ |
$-11060825617/2744$ |
$0.96546$ |
$5.27483$ |
$[0, 0, 0, -84439731, 298718034802]$ |
\(y^2=x^3-84439731x+298718034802\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[]$ |
| 489566.m1 |
489566m1 |
489566.m |
489566m |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 7^{3} \cdot 11^{6} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$31416$ |
$16$ |
$0$ |
$20.19180877$ |
$1$ |
|
$0$ |
$74027520$ |
$3.207291$ |
$-11060825617/2744$ |
$0.96546$ |
$5.02597$ |
$[1, 1, 0, -70952829, -230118512939]$ |
\(y^2+xy=x^3+x^2-70952829x-230118512939\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 561.8.0.?, 31416.16.0.? |
$[(22250439283/538, 3292215555028821/538)]$ |
| 489566.bl1 |
489566bl1 |
489566.bl |
489566bl |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 7^{3} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$36.19669768$ |
$1$ |
|
$0$ |
$4354560$ |
$1.790686$ |
$-11060825617/2744$ |
$0.96546$ |
$3.72844$ |
$[1, 0, 1, -245512, -46853138]$ |
\(y^2+xy+y=x^3-245512x-46853138\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 56.2.0.b.1, 168.8.0.?, 1848.16.0.? |
$[(57685260812138615/405374, 13843004286522073916659747/405374)]$ |
