| 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 |
| 1410.b1 |
1410a1 |
1410.b |
1410a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2820$ |
$2$ |
$0$ |
$8.867850959$ |
$1$ |
|
$2$ |
$15840$ |
$1.928324$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.95724$ |
$[1, 1, 0, -418773, -104507667]$ |
\(y^2+xy=x^3+x^2-418773x-104507667\) |
2820.2.0.? |
$[(56426, 13374571)]$ |
| 4230.bd1 |
4230be1 |
4230.bd |
4230be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 47 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{11} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$0.038860093$ |
$1$ |
|
$18$ |
$126720$ |
$2.477631$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.83129$ |
$[1, -1, 1, -3768962, 2817938049]$ |
\(y^2+xy+y=x^3-x^2-3768962x+2817938049\) |
2820.2.0.? |
$[(1907, 49671)]$ |
| 7050.bg1 |
7050bd1 |
7050.bg |
7050bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{17} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$2.733044$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.78337$ |
$[1, 0, 0, -10469338, -13042519708]$ |
\(y^2+xy=x^3-10469338x-13042519708\) |
2820.2.0.? |
$[]$ |
| 11280.t1 |
11280s1 |
11280.t |
11280s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 47 \) |
\( - 2^{24} \cdot 3^{5} \cdot 5^{11} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$2.621471$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.29819$ |
$[0, 1, 0, -6700376, 6675089940]$ |
\(y^2=x^3+x^2-6700376x+6675089940\) |
2820.2.0.? |
$[]$ |
| 21150.q1 |
21150n1 |
21150.q |
21150n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{17} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3041280$ |
$3.282349$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.69696$ |
$[1, -1, 0, -94224042, 352148032116]$ |
\(y^2+xy=x^3-x^2-94224042x+352148032116\) |
2820.2.0.? |
$[]$ |
| 33840.ci1 |
33840ce1 |
33840.ci |
33840ce |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 47 \) |
\( - 2^{24} \cdot 3^{11} \cdot 5^{11} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3041280$ |
$3.170776$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.26678$ |
$[0, 0, 0, -60303387, -180287731766]$ |
\(y^2=x^3-60303387x-180287731766\) |
2820.2.0.? |
$[]$ |
| 45120.bg1 |
45120cd1 |
45120.bg |
45120cd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 47 \) |
\( - 2^{30} \cdot 3^{5} \cdot 5^{11} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3041280$ |
$2.968044$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.87156$ |
$[0, -1, 0, -26801505, 53427521025]$ |
\(y^2=x^3-x^2-26801505x+53427521025\) |
2820.2.0.? |
$[]$ |
| 45120.cm1 |
45120be1 |
45120.cm |
45120be |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 47 \) |
\( - 2^{30} \cdot 3^{5} \cdot 5^{11} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1.102016396$ |
$1$ |
|
$4$ |
$3041280$ |
$2.968044$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.87156$ |
$[0, 1, 0, -26801505, -53427521025]$ |
\(y^2=x^3+x^2-26801505x-53427521025\) |
2820.2.0.? |
$[(24915, 3840000)]$ |
| 56400.s1 |
56400be1 |
56400.s |
56400be |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( - 2^{24} \cdot 3^{5} \cdot 5^{17} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9123840$ |
$3.426189$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.25433$ |
$[0, -1, 0, -167509408, 834721261312]$ |
\(y^2=x^3-x^2-167509408x+834721261312\) |
2820.2.0.? |
$[]$ |
| 66270.f1 |
66270e1 |
66270.f |
66270e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1.553177787$ |
$1$ |
|
$4$ |
$34974720$ |
$3.853397$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.62526$ |
$[1, 1, 0, -925070707, 10831798104301]$ |
\(y^2+xy=x^3+x^2-925070707x+10831798104301\) |
2820.2.0.? |
$[(19062, 343909)]$ |
| 69090.ba1 |
69090ba1 |
69090.ba |
69090ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$0.346147743$ |
$1$ |
|
$8$ |
$5987520$ |
$2.901279$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.57515$ |
$[1, 0, 1, -20519903, 35784570098]$ |
\(y^2+xy+y=x^3-20519903x+35784570098\) |
2820.2.0.? |
$[(2199, 34900)]$ |
| 135360.bn1 |
135360ev1 |
135360.bn |
135360ev |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 47 \) |
\( - 2^{30} \cdot 3^{11} \cdot 5^{11} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$9.402256674$ |
$1$ |
|
$0$ |
$24330240$ |
$3.517349$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.88350$ |
$[0, 0, 0, -241213548, 1442301854128]$ |
\(y^2=x^3-241213548x+1442301854128\) |
2820.2.0.? |
$[(2634438/17, 151398400/17)]$ |
| 135360.cl1 |
135360bu1 |
135360.cl |
135360bu |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 47 \) |
\( - 2^{30} \cdot 3^{11} \cdot 5^{11} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$42.09831000$ |
$1$ |
|
$0$ |
$24330240$ |
$3.517349$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.88350$ |
$[0, 0, 0, -241213548, -1442301854128]$ |
\(y^2=x^3-241213548x-1442301854128\) |
2820.2.0.? |
$[(34392878566736074204/35128519, 159182069333773665149869837608/35128519)]$ |
| 169200.cw1 |
169200cl1 |
169200.cw |
169200cl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 47 \) |
\( - 2^{24} \cdot 3^{11} \cdot 5^{17} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$72990720$ |
$3.975494$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.23112$ |
$[0, 0, 0, -1507584675, -22535966470750]$ |
\(y^2=x^3-1507584675x-22535966470750\) |
2820.2.0.? |
$[]$ |
| 170610.be1 |
170610bd1 |
170610.be |
170610bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 11^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$2.615414510$ |
$1$ |
|
$2$ |
$22176000$ |
$3.127270$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.38192$ |
$[1, 1, 1, -50671596, 138846346893]$ |
\(y^2+xy+y=x^3+x^2-50671596x+138846346893\) |
2820.2.0.? |
$[(4109, 3753)]$ |
| 198810.bi1 |
198810s1 |
198810.bi |
198810s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{11} \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$279797760$ |
$4.402702$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.56895$ |
$[1, -1, 1, -8325636368, -292466874452493]$ |
\(y^2+xy+y=x^3-x^2-8325636368x-292466874452493\) |
2820.2.0.? |
$[]$ |
| 207270.cp1 |
207270bd1 |
207270.cp |
207270bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{11} \cdot 7^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$47900160$ |
$3.450584$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.61328$ |
$[1, -1, 1, -184679123, -966183392653]$ |
\(y^2+xy+y=x^3-x^2-184679123x-966183392653\) |
2820.2.0.? |
$[]$ |
| 225600.cz1 |
225600ip1 |
225600.cz |
225600ip |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( - 2^{30} \cdot 3^{5} \cdot 5^{17} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72990720$ |
$3.772762$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.88833$ |
$[0, -1, 0, -670037633, -6677100052863]$ |
\(y^2=x^3-x^2-670037633x-6677100052863\) |
2820.2.0.? |
$[]$ |
| 225600.gh1 |
225600bj1 |
225600.gh |
225600bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 47 \) |
\( - 2^{30} \cdot 3^{5} \cdot 5^{17} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$2.575025469$ |
$1$ |
|
$2$ |
$72990720$ |
$3.772762$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.88833$ |
$[0, 1, 0, -670037633, 6677100052863]$ |
\(y^2=x^3+x^2-670037633x+6677100052863\) |
2820.2.0.? |
$[(19173, 937500)]$ |
| 238290.bk1 |
238290bk1 |
238290.bk |
238290bk |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 13^{6} \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32503680$ |
$3.210796$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.31764$ |
$[1, 1, 1, -70772725, -229249480933]$ |
\(y^2+xy+y=x^3+x^2-70772725x-229249480933\) |
2820.2.0.? |
$[]$ |
| 331350.do1 |
331350do1 |
331350.do |
331350do |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 47^{2} \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{17} \cdot 47^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$0.949758521$ |
$1$ |
|
$16$ |
$839393280$ |
$4.658119$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$6.54609$ |
$[1, 0, 0, -23126767688, 1354021016572992]$ |
\(y^2+xy=x^3-23126767688x+1354021016572992\) |
2820.2.0.? |
$[(1030612, 1034953444), (102832, 7900984)]$ |
| 345450.fo1 |
345450fo1 |
345450.fo |
345450fo |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{17} \cdot 7^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$3.278166554$ |
$1$ |
|
$2$ |
$143700480$ |
$3.705997$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.62877$ |
$[1, 1, 1, -512997563, 4473071262281]$ |
\(y^2+xy+y=x^3+x^2-512997563x+4473071262281\) |
2820.2.0.? |
$[(-2755, 2423252)]$ |
| 407490.bb1 |
407490bb1 |
407490.bb |
407490bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 47 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 17^{6} \cdot 47 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2820$ |
$2$ |
$0$ |
$3.398884589$ |
$1$ |
|
$2$ |
$69696000$ |
$3.344929$ |
$-8121969458732291369689/2284200000000000$ |
$1.02347$ |
$5.22138$ |
$[1, 0, 1, -121025548, -512598989494]$ |
\(y^2+xy+y=x^3-121025548x-512598989494\) |
2820.2.0.? |
$[(12945, 293527)]$ |
