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 |
2090.b4 |
2090e4 |
2090.b |
2090e |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 5^{3} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$25080$ |
$96$ |
$1$ |
$1.053366611$ |
$1$ |
|
$6$ |
$5184$ |
$1.134579$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.74973$ |
$[1, 0, 1, 3761, -72438]$ |
\(y^2+xy+y=x^3+3761x-72438\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[(70, 696)]$ |
10450.bg4 |
10450bb4 |
10450.bg |
10450bb |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 5^{9} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.939299$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.96717$ |
$[1, 1, 1, 94037, -9054719]$ |
\(y^2+xy+y=x^3+x^2+94037x-9054719\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.4, $\ldots$ |
$[ ]$ |
16720.bh4 |
16720s4 |
16720.bh |
16720s |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{15} \cdot 5^{3} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$124416$ |
$1.827726$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.58941$ |
$[0, -1, 0, 60184, 4636016]$ |
\(y^2=x^3-x^2+60184x+4636016\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.a.1, $\ldots$ |
$[ ]$ |
18810.z4 |
18810be4 |
18810.z |
18810be |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$25080$ |
$96$ |
$1$ |
$4.199629190$ |
$1$ |
|
$6$ |
$124416$ |
$1.683886$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.35911$ |
$[1, -1, 1, 33853, 1955819]$ |
\(y^2+xy+y=x^3-x^2+33853x+1955819\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[(157, 3256)]$ |
22990.x4 |
22990v4 |
22990.x |
22990v |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 5^{3} \cdot 11^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$6.428697383$ |
$1$ |
|
$2$ |
$622080$ |
$2.333527$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$5.04825$ |
$[1, 0, 0, 455139, 96869785]$ |
\(y^2+xy=x^3+455139x+96869785\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.a.1, $\ldots$ |
$[(356, 17259)]$ |
39710.ba4 |
39710x4 |
39710.ba |
39710x |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{3} \cdot 11^{2} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1866240$ |
$2.606800$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$5.09738$ |
$[1, 1, 1, 1357894, 499566319]$ |
\(y^2+xy+y=x^3+x^2+1357894x+499566319\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 57.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
66880.bc4 |
66880dw4 |
66880.bc |
66880dw |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 5^{3} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1.693827473$ |
$1$ |
|
$5$ |
$995328$ |
$2.174301$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.39110$ |
$[0, 1, 0, 240735, 37328863]$ |
\(y^2=x^3+x^2+240735x+37328863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 30.24.0-6.a.1.4, $\ldots$ |
$[(66, 7315)]$ |
66880.dd4 |
66880y4 |
66880.dd |
66880y |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 5^{3} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$2.174301$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.39110$ |
$[0, -1, 0, 240735, -37328863]$ |
\(y^2=x^3-x^2+240735x-37328863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 40.6.0.a.1, $\ldots$ |
$[ ]$ |
83600.c4 |
83600bi4 |
83600.c |
83600bi |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{15} \cdot 5^{9} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2985984$ |
$2.632446$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.78972$ |
$[0, 1, 0, 1504592, 582511188]$ |
\(y^2=x^3+x^2+1504592x+582511188\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 40.6.0.a.1, $\ldots$ |
$[ ]$ |
94050.cb4 |
94050v4 |
94050.cb |
94050v |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$3.662387798$ |
$1$ |
|
$2$ |
$2985984$ |
$2.488605$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.58972$ |
$[1, -1, 0, 846333, 245323741]$ |
\(y^2+xy=x^3-x^2+846333x+245323741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.12, $\ldots$ |
$[(3965, 254774)]$ |
102410.bb4 |
102410x4 |
102410.bb |
102410x |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$175560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1492992$ |
$2.107533$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.15947$ |
$[1, 1, 0, 184313, 25030461]$ |
\(y^2+xy=x^3+x^2+184313x+25030461\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.a.1, $\ldots$ |
$[ ]$ |
114950.bk4 |
114950q4 |
114950.bk |
114950q |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 5^{9} \cdot 11^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$14929920$ |
$3.138245$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$5.17971$ |
$[1, 1, 0, 11378475, 12108723125]$ |
\(y^2+xy=x^3+x^2+11378475x+12108723125\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
150480.eh4 |
150480be4 |
150480.eh |
150480be |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$7.223223378$ |
$1$ |
|
$3$ |
$2985984$ |
$2.377033$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.29647$ |
$[0, 0, 0, 541653, -125714086]$ |
\(y^2=x^3+541653x-125714086\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.a.1, $\ldots$ |
$[(890, 32578)]$ |
183920.cg4 |
183920bn4 |
183920.cg |
183920bn |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{15} \cdot 5^{3} \cdot 11^{8} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$20.59302945$ |
$1$ |
|
$3$ |
$14929920$ |
$3.026672$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.86844$ |
$[0, -1, 0, 7282224, -6199666240]$ |
\(y^2=x^3-x^2+7282224x-6199666240\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 120.24.0.?, $\ldots$ |
$[(2666, 179322), (82690/3, 24690050/3)]$ |
198550.j4 |
198550ca4 |
198550.j |
198550ca |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{9} \cdot 11^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$11.42985941$ |
$1$ |
|
$0$ |
$44789760$ |
$3.411518$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$5.21646$ |
$[1, 0, 1, 33947349, 62377895198]$ |
\(y^2+xy+y=x^3+33947349x+62377895198\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 120.24.0.?, $\ldots$ |
$[(2172771/26, 7923744167/26)]$ |
206910.cq4 |
206910dq4 |
206910.cq |
206910dq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 11^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14929920$ |
$2.882832$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.68057$ |
$[1, -1, 0, 4096251, -2615484195]$ |
\(y^2+xy=x^3-x^2+4096251x-2615484195\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 40.6.0.a.1, $\ldots$ |
$[ ]$ |
317680.o4 |
317680o4 |
317680.o |
317680o |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( - 2^{15} \cdot 5^{3} \cdot 11^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$26.73364195$ |
$1$ |
|
$1$ |
$44789760$ |
$3.299946$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.91725$ |
$[0, 1, 0, 21726304, -31928791820]$ |
\(y^2=x^3+x^2+21726304x-31928791820\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 120.24.0.?, $\ldots$ |
$[(181486464445/8058, 117742349435860205/8058)]$ |
334400.bl4 |
334400bl4 |
334400.bl |
334400bl |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 5^{9} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$24.29407086$ |
$1$ |
|
$1$ |
$23887872$ |
$2.979019$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.59467$ |
$[0, 1, 0, 6018367, -4654071137]$ |
\(y^2=x^3+x^2+6018367x-4654071137\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 40.6.0.a.1, $\ldots$ |
$[(233983591057/8733, 137624600833174000/8733)]$ |
334400.ft4 |
334400ft4 |
334400.ft |
334400ft |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 5^{9} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$2.979019$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.59467$ |
$[0, -1, 0, 6018367, 4654071137]$ |
\(y^2=x^3-x^2+6018367x+4654071137\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 40.6.0.a.1, 120.48.0.?, $\ldots$ |
$[ ]$ |
353210.bi4 |
353210bi4 |
353210.bi |
353210bi |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \cdot 19 \) |
\( - 2^{3} \cdot 5^{3} \cdot 11^{2} \cdot 13^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$326040$ |
$96$ |
$1$ |
$2.726444225$ |
$1$ |
|
$4$ |
$11943936$ |
$2.417053$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.04710$ |
$[1, 0, 0, 635690, -159781428]$ |
\(y^2+xy=x^3+635690x-159781428\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.a.1, $\ldots$ |
$[(274, 5778)]$ |
357390.bd4 |
357390bd4 |
357390.bd |
357390bd |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 11^{2} \cdot 19^{12} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$16.12997868$ |
$1$ |
|
$8$ |
$44789760$ |
$3.156105$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$4.73697$ |
$[1, -1, 0, 12221046, -13476069572]$ |
\(y^2+xy=x^3-x^2+12221046x-13476069572\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.a.1, 57.8.0-3.a.1.1, $\ldots$ |
$[(1487, 88604), (470351/10, 382414319/10)]$ |
436810.bh4 |
436810bh4 |
436810.bh |
436810bh |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2^{3} \cdot 5^{3} \cdot 11^{8} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$25080$ |
$96$ |
$1$ |
$99.51850380$ |
$1$ |
|
$0$ |
$223948800$ |
$3.805748$ |
$5885721311824151/5692551601000$ |
$0.94901$ |
$5.26403$ |
$[1, 1, 0, 164305172, -664101244968]$ |
\(y^2+xy=x^3+x^2+164305172x-664101244968\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.a.1, $\ldots$ |
$[(5641678267128628077756367191905063125680853/32826478473309440004, 20523106711511226877361589876148150098316947806013950816540199239/32826478473309440004)]$ |