| 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 |
| 1870.h2 |
1870h2 |
1870.h |
1870h |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 5 \cdot 11^{20} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$680$ |
$48$ |
$1$ |
$1.159888440$ |
$1$ |
|
$0$ |
$240000$ |
$3.227886$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$8.17785$ |
$[1, 1, 1, 17283565, -17141361543]$ |
\(y^2+xy+y=x^3+x^2+17283565x-17141361543\) |
5.24.0-5.a.2.2, 680.48.1.? |
$[(9265/3, 1113446/3)]$ |
| 9350.k2 |
9350f2 |
9350.k |
9350f |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 5^{7} \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$680$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5760000$ |
$4.032608$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.79449$ |
$[1, 0, 1, 432089124, -2143534371102]$ |
\(y^2+xy+y=x^3+432089124x-2143534371102\) |
5.24.0-5.a.2.1, 680.48.1.? |
$[]$ |
| 14960.k2 |
14960n2 |
14960.k |
14960n |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 5 \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$5760000$ |
$3.921032$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.27413$ |
$[0, 1, 0, 276537040, 1097600212820]$ |
\(y^2=x^3+x^2+276537040x+1097600212820\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 680.48.1.? |
$[]$ |
| 16830.f2 |
16830p2 |
16830.f |
16830p |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2040$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$7200000$ |
$3.777191$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.00870$ |
$[1, -1, 0, 155552085, 462972313741]$ |
\(y^2+xy=x^3-x^2+155552085x+462972313741\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 680.24.1.?, 2040.48.1.? |
$[]$ |
| 20570.b2 |
20570d2 |
20570.b |
20570d |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 5 \cdot 11^{26} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7480$ |
$48$ |
$1$ |
$97.22890966$ |
$1$ |
|
$0$ |
$28800000$ |
$4.426834$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.65203$ |
$[1, 1, 0, 2091311363, 22825608770309]$ |
\(y^2+xy=x^3+x^2+2091311363x+22825608770309\) |
5.12.0.a.2, 55.24.0-5.a.2.1, 680.24.1.?, 7480.48.1.? |
$[(15802838032494396846243744568209685777475545/10042079882758649493, 65540481248490439097572519223059276917413394419327692104791758469/10042079882758649493)]$ |
| 31790.r2 |
31790n2 |
31790.r |
31790n |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5 \cdot 11^{20} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$69120000$ |
$4.644493$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.58266$ |
$[1, 0, 0, 4994950279, -84250473911839]$ |
\(y^2+xy=x^3+4994950279x-84250473911839\) |
5.12.0.a.2, 40.24.0-5.a.2.6, 85.24.0.?, 680.48.1.? |
$[]$ |
| 59840.m2 |
59840bc2 |
59840.m |
59840bc |
$2$ |
$5$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{21} \cdot 5 \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$46080000$ |
$4.267609$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.73544$ |
$[0, -1, 0, 1106148159, 8779695554401]$ |
\(y^2=x^3-x^2+1106148159x+8779695554401\) |
5.12.0.a.2, 40.24.0-5.a.2.1, 170.24.0.?, 680.48.1.? |
$[]$ |
| 59840.bc2 |
59840c2 |
59840.bc |
59840c |
$2$ |
$5$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{21} \cdot 5 \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$46080000$ |
$4.267609$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.73544$ |
$[0, 1, 0, 1106148159, -8779695554401]$ |
\(y^2=x^3+x^2+1106148159x-8779695554401\) |
5.12.0.a.2, 40.24.0-5.a.2.3, 340.24.0.?, 680.48.1.? |
$[]$ |
| 74800.be2 |
74800bc2 |
74800.be |
74800bc |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 5^{7} \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$138240000$ |
$4.725754$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.09140$ |
$[0, -1, 0, 6913425992, 137186199750512]$ |
\(y^2=x^3-x^2+6913425992x+137186199750512\) |
5.12.0.a.2, 20.24.0-5.a.2.1, 680.48.1.? |
$[]$ |
| 84150.gf2 |
84150fd2 |
84150.gf |
84150fd |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{7} \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2040$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$172800000$ |
$4.581909$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.86554$ |
$[1, -1, 1, 3888802120, 57875428019747]$ |
\(y^2+xy+y=x^3-x^2+3888802120x+57875428019747\) |
5.12.0.a.2, 15.24.0-5.a.2.2, 680.24.1.?, 2040.48.1.? |
$[]$ |
| 91630.bs2 |
91630bp2 |
91630.bs |
91630bp |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 5 \cdot 7^{6} \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$86400000$ |
$4.200844$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.41414$ |
$[1, 0, 0, 846894684, 5882027693240]$ |
\(y^2+xy=x^3+846894684x+5882027693240\) |
5.12.0.a.2, 35.24.0-5.a.2.2, 680.24.1.?, 4760.48.1.? |
$[]$ |
| 102850.db2 |
102850cj2 |
102850.db |
102850cj |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 5^{7} \cdot 11^{26} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7480$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$691200000$ |
$5.231552$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.42164$ |
$[1, 0, 0, 52282784062, 2853096530720492]$ |
\(y^2+xy=x^3+52282784062x+2853096530720492\) |
5.12.0.a.2, 55.24.0-5.a.2.2, 680.24.1.?, 7480.48.1.? |
$[]$ |
| 134640.ca2 |
134640ch2 |
134640.ca |
134640ch |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5 \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$172800000$ |
$4.470337$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.47896$ |
$[0, 0, 0, 2488833357, -29632716912782]$ |
\(y^2=x^3+2488833357x-29632716912782\) |
5.12.0.a.2, 60.24.0-5.a.2.2, 680.24.1.?, 2040.48.1.? |
$[]$ |
| 158950.l2 |
158950cq2 |
158950.l |
158950cq |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{7} \cdot 11^{20} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$23.73227839$ |
$1$ |
|
$0$ |
$1658880000$ |
$5.449211$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.36997$ |
$[1, 1, 0, 124873756975, -10531309238979875]$ |
\(y^2+xy=x^3+x^2+124873756975x-10531309238979875\) |
5.12.0.a.2, 40.24.0-5.a.2.5, 85.24.0.?, 680.48.1.? |
$[(36288933974465929/520539, 13066660829213883686551919/520539)]$ |
| 164560.bu2 |
164560bd2 |
164560.bu |
164560bd |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{15} \cdot 5 \cdot 11^{26} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7480$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$691200000$ |
$5.119980$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.01976$ |
$[0, 1, 0, 33460981800, -1460772039336172]$ |
\(y^2=x^3+x^2+33460981800x-1460772039336172\) |
5.12.0.a.2, 220.24.0.?, 680.24.1.?, 7480.48.1.? |
$[]$ |
| 185130.dz2 |
185130bj2 |
185130.dz |
185130bj |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 11^{26} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$22440$ |
$48$ |
$1$ |
$10.06336342$ |
$25$ |
$5$ |
$2$ |
$864000000$ |
$4.976143$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.80928$ |
$[1, -1, 1, 18821802262, -616272614996079]$ |
\(y^2+xy+y=x^3-x^2+18821802262x-616272614996079\) |
5.12.0.a.2, 165.24.0.?, 680.24.1.?, 22440.48.1.? |
$[(332247, 205535691)]$ |
| 254320.l2 |
254320l2 |
254320.l |
254320l |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{15} \cdot 5 \cdot 11^{20} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$8.887250034$ |
$1$ |
|
$0$ |
$1658880000$ |
$5.337639$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.98409$ |
$[0, -1, 0, 79919204464, 5392030330357696]$ |
\(y^2=x^3-x^2+79919204464x+5392030330357696\) |
5.12.0.a.2, 40.24.0-5.a.2.8, 340.24.0.?, 680.48.1.? |
$[(35041167938/29, 6559607692860574/29)]$ |
| 286110.df2 |
286110df2 |
286110.df |
286110df |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 11^{20} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2073600000$ |
$5.193802$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.78124$ |
$[1, -1, 0, 44954552511, 2274762795619653]$ |
\(y^2+xy=x^3-x^2+44954552511x+2274762795619653\) |
5.12.0.a.2, 120.24.0.?, 255.24.0.?, 680.24.1.?, 2040.48.1.? |
$[]$ |
| 299200.dl2 |
299200dl2 |
299200.dl |
299200dl |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{21} \cdot 5^{7} \cdot 11^{20} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$54.09931474$ |
$1$ |
|
$0$ |
$1105920000$ |
$5.072327$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.64157$ |
$[0, -1, 0, 27653703967, -1097517251708063]$ |
\(y^2=x^3-x^2+27653703967x-1097517251708063\) |
5.12.0.a.2, 40.24.0-5.a.2.4, 340.24.0.?, 680.48.1.? |
$[(10102678653000345850682497/9518576811, 50082069262590558531740778615772379200/9518576811)]$ |
| 299200.gd2 |
299200gd2 |
299200.gd |
299200gd |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{21} \cdot 5^{7} \cdot 11^{20} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$680$ |
$48$ |
$1$ |
$7.462654238$ |
$1$ |
|
$0$ |
$1105920000$ |
$5.072327$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.64157$ |
$[0, 1, 0, 27653703967, 1097517251708063]$ |
\(y^2=x^3+x^2+27653703967x+1097517251708063\) |
5.12.0.a.2, 40.24.0-5.a.2.2, 170.24.0.?, 680.48.1.? |
$[(763264457/43, 22885733622400/43)]$ |
| 316030.r2 |
316030r2 |
316030.r |
316030r |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 5 \cdot 11^{20} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$8840$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$561600000$ |
$4.510361$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.08035$ |
$[1, 1, 0, 2920922482, -37674175921988]$ |
\(y^2+xy=x^3+x^2+2920922482x-37674175921988\) |
5.12.0.a.2, 65.24.0-5.a.2.1, 680.24.1.?, 8840.48.1.? |
$[]$ |
| 349690.x2 |
349690x2 |
349690.x |
349690x |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 5 \cdot 11^{26} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7480$ |
$48$ |
$1$ |
$1$ |
$49$ |
$7$ |
$0$ |
$8294400000$ |
$5.843437$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$7.28535$ |
$[1, 0, 1, 604388983756, 112137985165641466]$ |
\(y^2+xy+y=x^3+604388983756x+112137985165641466\) |
5.12.0.a.2, 440.24.0.?, 680.24.1.?, 935.24.0.?, 7480.48.1.? |
$[]$ |
| 458150.bd2 |
458150bd2 |
458150.bd |
458150bd |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 5^{7} \cdot 7^{6} \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2073600000$ |
$5.005562$ |
$570983676137286216962798159/457469996554140806256680$ |
$1.10476$ |
$6.36301$ |
$[1, 1, 0, 21172367100, 735253461655000]$ |
\(y^2+xy=x^3+x^2+21172367100x+735253461655000\) |
5.12.0.a.2, 35.24.0-5.a.2.1, 680.24.1.?, 4760.48.1.? |
$[]$ |
