| 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 |
| 4290.bb1 |
4290bb7 |
4290.bb |
4290bb |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$17160$ |
$384$ |
$5$ |
$6.435615726$ |
$1$ |
|
$4$ |
$165888$ |
$2.478657$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.36031$ |
$[1, 0, 0, -1047000, -231922620]$ |
\(y^2+xy=x^3-1047000x-231922620\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.1, 6.24.0-6.a.1.2, 12.96.0-12.c.2.8, $\ldots$ |
$[(2112, 82482)]$ |
| 12870.c1 |
12870p7 |
12870.c |
12870p |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{10} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$1327104$ |
$3.027966$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.31848$ |
$[1, -1, 0, -9423000, 6261910740]$ |
\(y^2+xy=x^3-x^2-9423000x+6261910740\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.2.7, $\ldots$ |
$[]$ |
| 21450.r1 |
21450d8 |
21450.r |
21450d |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{7} \cdot 11^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$6.712034361$ |
$1$ |
|
$2$ |
$3981312$ |
$3.283379$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.30217$ |
$[1, 1, 0, -26175000, -28990327500]$ |
\(y^2+xy=x^3+x^2-26175000x-28990327500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(6050, 181750)]$ |
| 34320.bb1 |
34320bn8 |
34320.bb |
34320bn |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1.920686937$ |
$1$ |
|
$3$ |
$3981312$ |
$3.171806$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.89034$ |
$[0, -1, 0, -16752000, 14843047680]$ |
\(y^2=x^3-x^2-16752000x+14843047680\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.2.4, $\ldots$ |
$[(3802, 78078)]$ |
| 47190.bl1 |
47190bh8 |
47190.bl |
47190bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{4} \cdot 5 \cdot 11^{9} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$0$ |
$19906560$ |
$3.677605$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.28003$ |
$[1, 0, 1, -126687003, 308562320218]$ |
\(y^2+xy+y=x^3-126687003x+308562320218\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 55770.bc1 |
55770bc8 |
55770.bc |
55770bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 13^{18} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$6.033341547$ |
$1$ |
|
$2$ |
$27869184$ |
$3.761135$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.27575$ |
$[1, 0, 1, -176943004, -509357053138]$ |
\(y^2+xy+y=x^3-176943004x-509357053138\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(-3470, 252446)]$ |
| 64350.fe1 |
64350el8 |
64350.fe |
64350el |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{7} \cdot 11^{3} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$31850496$ |
$3.832684$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.27219$ |
$[1, -1, 1, -235575005, 782503267497]$ |
\(y^2+xy+y=x^3-x^2-235575005x+782503267497\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 102960.ci1 |
102960dj8 |
102960.ci |
102960dj |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{10} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$31850496$ |
$3.721111$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.90078$ |
$[0, 0, 0, -150768003, -400611519358]$ |
\(y^2=x^3-150768003x-400611519358\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.2.3, $\ldots$ |
$[]$ |
| 137280.e1 |
137280gn7 |
137280.e |
137280gn |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$31850496$ |
$3.518379$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.55163$ |
$[0, -1, 0, -67008001, -118677373439]$ |
\(y^2=x^3-x^2-67008001x-118677373439\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
| 137280.fi1 |
137280bs8 |
137280.fi |
137280bs |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$35.44969658$ |
$1$ |
|
$1$ |
$31850496$ |
$3.518379$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.55163$ |
$[0, 1, 0, -67008001, 118677373439]$ |
\(y^2=x^3+x^2-67008001x+118677373439\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ |
$[(11671700205853013/1244087, 395861750207997652397196/1244087)]$ |
| 141570.dp1 |
141570ca7 |
141570.dp |
141570ca |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{10} \cdot 5 \cdot 11^{9} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$0$ |
$159252480$ |
$4.226913$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.25409$ |
$[1, -1, 1, -1140183023, -8331182645893]$ |
\(y^2+xy+y=x^3-x^2-1140183023x-8331182645893\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 167310.fr1 |
167310w8 |
167310.fr |
167310w |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5 \cdot 11^{3} \cdot 13^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$222953472$ |
$4.310440$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.25056$ |
$[1, -1, 1, -1592487032, 13752640434719]$ |
\(y^2+xy+y=x^3-x^2-1592487032x+13752640434719\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 171600.el1 |
171600bg8 |
171600.el |
171600bg |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{7} \cdot 11^{3} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$95551488$ |
$3.976524$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.90498$ |
$[0, 1, 0, -418800008, 1854543359988]$ |
\(y^2=x^3+x^2-418800008x+1854543359988\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 210210.cs1 |
210210da8 |
210210.cs |
210210da |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{2} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 11^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$8.786161023$ |
$4$ |
$2$ |
$0$ |
$47775744$ |
$3.451614$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.29325$ |
$[1, 1, 1, -51303001, 79498155659]$ |
\(y^2+xy+y=x^3+x^2-51303001x+79498155659\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(107861/4, 12594855/4)]$ |
| 235950.eq1 |
235950eq8 |
235950.eq |
235950eq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{7} \cdot 11^{9} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$477757440$ |
$4.482323$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.24360$ |
$[1, 1, 1, -3167175063, 38570290027281]$ |
\(y^2+xy+y=x^3+x^2-3167175063x+38570290027281\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.2.5, $\ldots$ |
$[]$ |
| 278850.ey1 |
278850ey7 |
278850.ey |
278850ey |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{7} \cdot 11^{3} \cdot 13^{18} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$21.04349685$ |
$1$ |
|
$0$ |
$668860416$ |
$4.565849$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$6.24035$ |
$[1, 1, 1, -4423575088, -63669631642219]$ |
\(y^2+xy+y=x^3+x^2-4423575088x-63669631642219\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(9655195845/49, 948361169546923/49)]$ |
| 377520.bu1 |
377520bu7 |
377520.bu |
377520bu |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{4} \cdot 5 \cdot 11^{9} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$477757440$ |
$4.370750$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.91082$ |
$[0, -1, 0, -2026992040, -19747988493968]$ |
\(y^2=x^3-x^2-2026992040x-19747988493968\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
| 411840.hc1 |
411840hc8 |
411840.hc |
411840hc |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{10} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$25.57877483$ |
$1$ |
|
$1$ |
$254803968$ |
$4.067688$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.58973$ |
$[0, 0, 0, -603072012, 3204892154864]$ |
\(y^2=x^3-603072012x+3204892154864\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(200291510420/3007, 22992501590392264/3007)]$ |
| 411840.nt1 |
411840nt7 |
411840.nt |
411840nt |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{20} \cdot 3^{10} \cdot 5 \cdot 11^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$31.96262446$ |
$1$ |
|
$1$ |
$254803968$ |
$4.067688$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.58973$ |
$[0, 0, 0, -603072012, -3204892154864]$ |
\(y^2=x^3-603072012x-3204892154864\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(136185448660860/35119, 1547519650410331336864/35119)]$ |
| 446160.a1 |
446160a8 |
446160.a |
446160a |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{4} \cdot 5 \cdot 11^{3} \cdot 13^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$668860416$ |
$4.454277$ |
$126929854754212758768001/50235797102795981820$ |
$1.02069$ |
$5.91196$ |
$[0, -1, 0, -2831088056, 32598851400816]$ |
\(y^2=x^3-x^2-2831088056x+32598851400816\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
