| 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 |
| 7098.k2 |
7098o4 |
7098.k |
7098o |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$312000$ |
$2.712093$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$6.32533$ |
$[1, 0, 1, -1932857, 1751063420]$ |
\(y^2+xy+y=x^3-1932857x+1751063420\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.24.0-65.a.1.2, $\ldots$ |
$[]$ |
| 7098.bc2 |
7098y4 |
7098.bc |
7098y |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$24000$ |
$1.429619$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.58983$ |
$[1, 0, 0, -11437, 796145]$ |
\(y^2+xy=x^3-11437x+796145\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.24.0-65.a.1.3, $\ldots$ |
$[]$ |
| 21294.f2 |
21294z4 |
21294.f |
21294z |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 7^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$5.486355226$ |
$1$ |
|
$2$ |
$192000$ |
$1.978926$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.74528$ |
$[1, -1, 0, -102933, -21495915]$ |
\(y^2+xy=x^3-x^2-102933x-21495915\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(1047, 31377)]$ |
| 21294.cp2 |
21294cv4 |
21294.cp |
21294cv |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 7^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$2.620108816$ |
$1$ |
|
$4$ |
$2496000$ |
$3.261402$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$6.28947$ |
$[1, -1, 1, -17395709, -47278712347]$ |
\(y^2+xy+y=x^3-x^2-17395709x-47278712347\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(10557, 967126)]$ |
| 49686.s2 |
49686v4 |
49686.s |
49686v |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{16} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$47.78856065$ |
$1$ |
|
$0$ |
$14976000$ |
$3.685051$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$6.26679$ |
$[1, 1, 0, -94709969, -600709463115]$ |
\(y^2+xy=x^3+x^2-94709969x-600709463115\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(262425122763303600082457/3093342848, 123171012408340097284119615493528387/3093342848)]$ |
| 49686.bx2 |
49686cp4 |
49686.bx |
49686cp |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{16} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1152000$ |
$2.402576$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.84359$ |
$[1, 1, 1, -560414, -273638149]$ |
\(y^2+xy+y=x^3+x^2-560414x-273638149\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[]$ |
| 56784.f2 |
56784bq4 |
56784.f |
56784bq |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$15.27809677$ |
$1$ |
|
$1$ |
$7488000$ |
$3.405243$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$5.88362$ |
$[0, -1, 0, -30925704, -112068058896]$ |
\(y^2=x^3-x^2-30925704x-112068058896\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(69258804/23, 575847954720/23)]$ |
| 56784.bj2 |
56784cg4 |
56784.bj |
56784cg |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 7^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$576000$ |
$2.122768$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.47779$ |
$[0, -1, 0, -182992, -50953280]$ |
\(y^2=x^3-x^2-182992x-50953280\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[]$ |
| 149058.dh2 |
149058gh4 |
149058.dh |
149058gh |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 7^{16} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$9216000$ |
$2.951881$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.95024$ |
$[1, -1, 0, -5043726, 7383186292]$ |
\(y^2+xy=x^3-x^2-5043726x+7383186292\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[]$ |
| 149058.fk2 |
149058s4 |
149058.fk |
149058s |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 7^{16} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$7.524405632$ |
$1$ |
|
$0$ |
$119808000$ |
$4.234352$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$6.24218$ |
$[1, -1, 1, -852389726, 16218303114381]$ |
\(y^2+xy+y=x^3-x^2-852389726x+16218303114381\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(2656851/5, 4187662309/5)]$ |
| 170352.bs2 |
170352q4 |
170352.bs |
170352q |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{8} \cdot 7^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$0.493696275$ |
$1$ |
|
$9$ |
$4608000$ |
$2.672073$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.61662$ |
$[0, 0, 0, -1646931, 1377385490]$ |
\(y^2=x^3-1646931x+1377385490\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(-263, 42336)]$ |
| 170352.ev2 |
170352ci4 |
170352.ev |
170352ci |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{8} \cdot 7^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$59904000$ |
$3.954548$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$5.89424$ |
$[0, 0, 0, -278331339, 3026115921530]$ |
\(y^2=x^3-278331339x+3026115921530\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[]$ |
| 177450.bw2 |
177450iw4 |
177450.bw |
177450iw |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 5^{6} \cdot 7^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$0.483115297$ |
$1$ |
|
$8$ |
$3072000$ |
$2.234337$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.16642$ |
$[1, 1, 0, -285925, 99518125]$ |
\(y^2+xy=x^3+x^2-285925x+99518125\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.24.0-65.a.1.1, $\ldots$ |
$[(135, 7895)]$ |
| 177450.fy2 |
177450ew4 |
177450.fy |
177450ew |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 5^{6} \cdot 7^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$3.096598875$ |
$1$ |
|
$4$ |
$39936000$ |
$3.516811$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$5.43973$ |
$[1, 1, 1, -48321413, 218882927531]$ |
\(y^2+xy+y=x^3+x^2-48321413x+218882927531\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.24.0-65.a.1.4, $\ldots$ |
$[(-5845, 552172)]$ |
| 227136.v2 |
227136hq4 |
227136.v |
227136hq |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{2} \cdot 7^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$4608000$ |
$2.469341$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.31168$ |
$[0, -1, 0, -731969, 408358209]$ |
\(y^2=x^3-x^2-731969x+408358209\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[]$ |
| 227136.dx2 |
227136iu4 |
227136.dx |
227136iu |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$4.490324979$ |
$1$ |
|
$3$ |
$59904000$ |
$3.751816$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$5.55950$ |
$[0, -1, 0, -123702817, 896668173985]$ |
\(y^2=x^3-x^2-123702817x+896668173985\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(12505, 1142400)]$ |
| 227136.gb2 |
227136j4 |
227136.gb |
227136j |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{2} \cdot 7^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$2.658643213$ |
$1$ |
|
$5$ |
$4608000$ |
$2.469341$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.31168$ |
$[0, 1, 0, -731969, -408358209]$ |
\(y^2=x^3+x^2-731969x-408358209\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(1135, 14976)]$ |
| 227136.ic2 |
227136bw4 |
227136.ic |
227136bw |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$25$ |
$5$ |
$1$ |
$59904000$ |
$3.751816$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$5.55950$ |
$[0, 1, 0, -123702817, -896668173985]$ |
\(y^2=x^3+x^2-123702817x-896668173985\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[]$ |
| 397488.gk2 |
397488gk4 |
397488.gk |
397488gk |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 7^{16} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$9.636328620$ |
$1$ |
|
$1$ |
$27648000$ |
$3.095722$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.70753$ |
$[0, 1, 0, -8966624, 17494908276]$ |
\(y^2=x^3+x^2-8966624x+17494908276\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(996748/17, 816321870/17)]$ |
| 397488.jb2 |
397488jb4 |
397488.jb |
397488jb |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 7^{16} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$26.38839609$ |
$1$ |
|
$1$ |
$359424000$ |
$4.378197$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$5.90119$ |
$[0, 1, 0, -1515359512, 38442374920340]$ |
\(y^2=x^3+x^2-1515359512x+38442374920340\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.12.0.a.1, $\ldots$ |
$[(-336144782858330/120219, 13581928080804919603040/120219)]$ |
