| 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 |
| 30926.a1 |
30926f6 |
30926.a |
30926f |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2^{9} \cdot 7^{2} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$23688$ |
$864$ |
$21$ |
$3.987978253$ |
$1$ |
|
$0$ |
$596160$ |
$2.338173$ |
$2251439055699625/25088$ |
$1.06489$ |
$5.65328$ |
$[1, 0, 1, -6031721, 5701270380]$ |
\(y^2+xy+y=x^3-6031721x+5701270380\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(25645/4, 737291/4)]$ |
| 30926.a2 |
30926f5 |
30926.a |
30926f |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{18} \cdot 7 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$23688$ |
$864$ |
$21$ |
$7.975956507$ |
$1$ |
|
$1$ |
$298080$ |
$1.991602$ |
$-548347731625/1835008$ |
$1.02933$ |
$4.84913$ |
$[1, 0, 1, -376681, 89208684]$ |
\(y^2+xy+y=x^3-376681x+89208684\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(90011/17, 6396354/17)]$ |
| 30926.a3 |
30926f4 |
30926.a |
30926f |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2^{3} \cdot 7^{6} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$23688$ |
$864$ |
$21$ |
$1.329326084$ |
$1$ |
|
$2$ |
$198720$ |
$1.788868$ |
$4956477625/941192$ |
$1.00821$ |
$4.39339$ |
$[1, 0, 1, -78466, 6927852]$ |
\(y^2+xy+y=x^3-78466x+6927852\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[(842, 22773)]$ |
| 30926.a4 |
30926f2 |
30926.a |
30926f |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2 \cdot 7^{2} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$23688$ |
$864$ |
$21$ |
$3.987978253$ |
$1$ |
|
$0$ |
$66240$ |
$1.239563$ |
$128787625/98$ |
$0.96763$ |
$4.04035$ |
$[1, 0, 1, -23241, -1364734]$ |
\(y^2+xy+y=x^3-23241x-1364734\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(4506/5, 58256/5)]$ |
| 30926.a5 |
30926f1 |
30926.a |
30926f |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{2} \cdot 7 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$23688$ |
$864$ |
$21$ |
$7.975956507$ |
$1$ |
|
$3$ |
$33120$ |
$0.892989$ |
$-15625/28$ |
$1.01712$ |
$3.30462$ |
$[1, 0, 1, -1151, -30498]$ |
\(y^2+xy+y=x^3-1151x-30498\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(4093, 259808)]$ |
| 30926.a6 |
30926f3 |
30926.a |
30926f |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{6} \cdot 7^{3} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$23688$ |
$864$ |
$21$ |
$2.658652169$ |
$1$ |
|
$3$ |
$99360$ |
$1.442295$ |
$9938375/21952$ |
$0.98695$ |
$3.89274$ |
$[1, 0, 1, 9894, 636620]$ |
\(y^2+xy+y=x^3+9894x+636620\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[(21, 913)]$ |
| 30926.b1 |
30926c1 |
30926.b |
30926c |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{30} \cdot 7^{7} \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11128320$ |
$3.833126$ |
$-177164286626930705929/41560810459234304$ |
$1.00757$ |
$6.77652$ |
$[1, 1, 0, -258471822, -1896216501452]$ |
\(y^2+xy=x^3+x^2-258471822x-1896216501452\) |
1316.2.0.? |
$[]$ |
| 30926.c1 |
30926b1 |
30926.c |
30926b |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2^{16} \cdot 7^{5} \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$5053440$ |
$3.313801$ |
$2053710181431/1101463552$ |
$1.06224$ |
$6.09342$ |
$[1, -1, 0, -27493628, -15008057520]$ |
\(y^2+xy=x^3-x^2-27493628x-15008057520\) |
2.3.0.a.1, 28.6.0.d.1, 188.6.0.?, 658.6.0.?, 1316.12.0.? |
$[]$ |
| 30926.c2 |
30926b2 |
30926.c |
30926b |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{8} \cdot 7^{10} \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$10106880$ |
$3.660374$ |
$115707762924489/72313663744$ |
$1.12636$ |
$6.48333$ |
$[1, -1, 0, 105399812, -117787844016]$ |
\(y^2+xy=x^3-x^2+105399812x-117787844016\) |
2.3.0.a.1, 28.6.0.d.1, 94.6.0.?, 1316.12.0.? |
$[]$ |
| 30926.d1 |
30926a1 |
30926.d |
30926a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2^{16} \cdot 7^{5} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$107520$ |
$1.388727$ |
$2053710181431/1101463552$ |
$1.06224$ |
$3.85915$ |
$[1, -1, 0, -12446, 147732]$ |
\(y^2+xy=x^3-x^2-12446x+147732\) |
2.3.0.a.1, 28.6.0.d.1, 188.6.0.?, 658.6.0.?, 1316.12.0.? |
$[]$ |
| 30926.d2 |
30926a2 |
30926.d |
30926a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{8} \cdot 7^{10} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1316$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.735300$ |
$115707762924489/72313663744$ |
$1.12636$ |
$4.24906$ |
$[1, -1, 0, 47714, 1122324]$ |
\(y^2+xy=x^3-x^2+47714x+1122324\) |
2.3.0.a.1, 28.6.0.d.1, 94.6.0.?, 1316.12.0.? |
$[]$ |
| 30926.e1 |
30926e2 |
30926.e |
30926e |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{6} \cdot 7 \cdot 47^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3948$ |
$16$ |
$0$ |
$1.499776805$ |
$1$ |
|
$0$ |
$317952$ |
$2.077957$ |
$-3463512697/46512704$ |
$0.91510$ |
$4.66693$ |
$[1, 0, 1, -69630, 34787760]$ |
\(y^2+xy+y=x^3-69630x+34787760\) |
3.4.0.a.1, 84.8.0.?, 141.8.0.?, 1316.2.0.?, 3948.16.0.? |
$[(8941/3, 817159/3)]$ |
| 30926.e2 |
30926e1 |
30926.e |
30926e |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{2} \cdot 7^{3} \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3948$ |
$16$ |
$0$ |
$0.499925601$ |
$1$ |
|
$2$ |
$105984$ |
$1.528650$ |
$4657463/64484$ |
$0.84418$ |
$4.02221$ |
$[1, 0, 1, 7685, -1241030]$ |
\(y^2+xy+y=x^3+7685x-1241030\) |
3.4.0.a.1, 84.8.0.?, 141.8.0.?, 1316.2.0.?, 3948.16.0.? |
$[(983, 30434)]$ |
| 30926.f1 |
30926d2 |
30926.f |
30926d |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2^{3} \cdot 7^{2} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$2632$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$317952$ |
$1.814659$ |
$13430356633/865928$ |
$0.86493$ |
$4.48980$ |
$[1, 1, 0, -109391, 13081661]$ |
\(y^2+xy=x^3+x^2-109391x+13081661\) |
2.3.0.a.1, 8.6.0.b.1, 1316.6.0.?, 2632.12.0.? |
$[]$ |
| 30926.f2 |
30926d1 |
30926.f |
30926d |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2^{6} \cdot 7 \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$2632$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$158976$ |
$1.468086$ |
$95443993/21056$ |
$0.81088$ |
$4.01137$ |
$[1, 1, 0, -21031, -932235]$ |
\(y^2+xy=x^3+x^2-21031x-932235\) |
2.3.0.a.1, 8.6.0.c.1, 658.6.0.?, 2632.12.0.? |
$[]$ |
| 30926.g1 |
30926m1 |
30926.g |
30926m |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{4} \cdot 7 \cdot 47^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$211968$ |
$1.464157$ |
$-611960049/5264$ |
$0.84498$ |
$4.19251$ |
$[1, -1, 1, -39072, -2984877]$ |
\(y^2+xy+y=x^3-x^2-39072x-2984877\) |
1316.2.0.? |
$[]$ |
| 30926.h1 |
30926i1 |
30926.h |
30926i |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{3} \cdot 7^{2} \cdot 47^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.328262298$ |
$1$ |
|
$4$ |
$4032$ |
$-0.181790$ |
$47/392$ |
$0.93883$ |
$2.04328$ |
$[1, 1, 1, 1, 45]$ |
\(y^2+xy+y=x^3+x^2+x+45\) |
8.2.0.a.1 |
$[(1, 6)]$ |
| 30926.i1 |
30926g1 |
30926.i |
30926g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{12} \cdot 7 \cdot 47^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1316$ |
$2$ |
$0$ |
$1.152163668$ |
$1$ |
|
$4$ |
$211968$ |
$1.788675$ |
$1524845951/1347584$ |
$0.86660$ |
$4.27938$ |
$[1, 1, 1, 52970, 3428883]$ |
\(y^2+xy+y=x^3+x^2+52970x+3428883\) |
1316.2.0.? |
$[(27, 2195)]$ |
| 30926.j1 |
30926h1 |
30926.j |
30926h |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{3} \cdot 7^{2} \cdot 47^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$7.464294222$ |
$1$ |
|
$0$ |
$189504$ |
$1.743284$ |
$47/392$ |
$0.93883$ |
$4.27755$ |
$[1, 1, 1, 2163, -4647221]$ |
\(y^2+xy+y=x^3+x^2+2163x-4647221\) |
8.2.0.a.1 |
$[(4261/5, 94544/5)]$ |
| 30926.k1 |
30926j2 |
30926.k |
30926j |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( 2^{11} \cdot 7^{8} \cdot 47^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$376$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4663296$ |
$3.199169$ |
$69650253363839121/26080144197632$ |
$1.08210$ |
$5.98521$ |
$[1, -1, 1, -18934858, -18836269431]$ |
\(y^2+xy+y=x^3-x^2-18934858x-18836269431\) |
2.3.0.a.1, 8.6.0.b.1, 188.6.0.?, 376.12.0.? |
$[]$ |
| 30926.k2 |
30926j1 |
30926.k |
30926j |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{22} \cdot 7^{4} \cdot 47^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$376$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2331648$ |
$2.852592$ |
$513518298333039/473314623488$ |
$1.07183$ |
$5.51032$ |
$[1, -1, 1, 3685302, -2097351031]$ |
\(y^2+xy+y=x^3-x^2+3685302x-2097351031\) |
2.3.0.a.1, 8.6.0.c.1, 94.6.0.?, 376.12.0.? |
$[]$ |
| 30926.l1 |
30926l2 |
30926.l |
30926l |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2 \cdot 7^{3} \cdot 47^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$703872$ |
$2.130512$ |
$-5165405233/686$ |
$0.89669$ |
$5.14217$ |
$[1, 0, 0, -1036067, -406043041]$ |
\(y^2+xy=x^3-1036067x-406043041\) |
3.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 30926.l2 |
30926l1 |
30926.l |
30926l |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{3} \cdot 7 \cdot 47^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$234624$ |
$1.581205$ |
$47/56$ |
$0.86138$ |
$4.08931$ |
$[1, 0, 0, 2163, -1756279]$ |
\(y^2+xy=x^3+2163x-1756279\) |
3.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 30926.m1 |
30926k2 |
30926.m |
30926k |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2 \cdot 7^{3} \cdot 47^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7896$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14976$ |
$0.205437$ |
$-5165405233/686$ |
$0.89669$ |
$2.90790$ |
$[1, 0, 0, -469, 3871]$ |
\(y^2+xy=x^3-469x+3871\) |
3.4.0.a.1, 56.2.0.b.1, 141.8.0.?, 168.8.0.?, 7896.16.0.? |
$[]$ |
| 30926.m2 |
30926k1 |
30926.m |
30926k |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 47^{2} \) |
\( - 2^{3} \cdot 7 \cdot 47^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7896$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4992$ |
$-0.343869$ |
$47/56$ |
$0.86138$ |
$1.85504$ |
$[1, 0, 0, 1, 17]$ |
\(y^2+xy=x^3+x+17\) |
3.4.0.a.1, 56.2.0.b.1, 141.8.0.?, 168.8.0.?, 7896.16.0.? |
$[]$ |
