| 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 |
| 1002.a1 |
1002a2 |
1002.a |
1002a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.334669$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.61467$ |
$[1, 1, 0, -860, -10074]$ |
\(y^2+xy=x^3+x^2-860x-10074\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 3006.e1 |
3006c2 |
3006.e |
3006c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 167 \) |
\( 2 \cdot 3^{10} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$3.555129445$ |
$1$ |
|
$0$ |
$3072$ |
$0.883975$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.80471$ |
$[1, -1, 1, -7745, 264255]$ |
\(y^2+xy+y=x^3-x^2-7745x+264255\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(239/2, 639/2)]$ |
| 8016.h1 |
8016h2 |
8016.h |
8016h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 167 \) |
\( 2^{13} \cdot 3^{4} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1.092713146$ |
$1$ |
|
$7$ |
$9216$ |
$1.027817$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.47248$ |
$[0, 1, 0, -13768, 617204]$ |
\(y^2=x^3+x^2-13768x+617204\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(68, 6)]$ |
| 24048.f1 |
24048g2 |
24048.f |
24048g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 167 \) |
\( 2^{13} \cdot 3^{10} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.577122$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.63883$ |
$[0, 0, 0, -123915, -16788422]$ |
\(y^2=x^3-123915x-16788422\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 25050.z1 |
25050v2 |
25050.z |
25050v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$6.452636373$ |
$1$ |
|
$0$ |
$55296$ |
$1.139389$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.10153$ |
$[1, 0, 0, -21513, -1216233]$ |
\(y^2+xy=x^3-21513x-1216233\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(1107/2, 28875/2)]$ |
| 32064.f1 |
32064m2 |
32064.f |
32064m |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 167 \) |
\( 2^{19} \cdot 3^{4} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.374390$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.27574$ |
$[0, -1, 0, -55073, 4992705]$ |
\(y^2=x^3-x^2-55073x+4992705\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 32064.s1 |
32064i2 |
32064.s |
32064i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 167 \) |
\( 2^{19} \cdot 3^{4} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$6.051697817$ |
$1$ |
|
$3$ |
$73728$ |
$1.374390$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.27574$ |
$[0, 1, 0, -55073, -4992705]$ |
\(y^2=x^3+x^2-55073x-4992705\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(1801, 75768)]$ |
| 49098.q1 |
49098l2 |
49098.q |
49098l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 7^{6} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$0.809328472$ |
$1$ |
|
$6$ |
$147456$ |
$1.307625$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.03290$ |
$[1, 0, 1, -42166, 3328910]$ |
\(y^2+xy+y=x^3-42166x+3328910\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(76, 713)]$ |
| 75150.o1 |
75150l2 |
75150.o |
75150l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$4.618266085$ |
$1$ |
|
$2$ |
$442368$ |
$1.688694$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.28730$ |
$[1, -1, 0, -193617, 32838291]$ |
\(y^2+xy=x^3-x^2-193617x+32838291\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(435, 5331)]$ |
| 96192.n1 |
96192b2 |
96192.n |
96192b |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 167 \) |
\( 2^{19} \cdot 3^{10} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.923697$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.44083$ |
$[0, 0, 0, -495660, 134307376]$ |
\(y^2=x^3-495660x+134307376\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 96192.o1 |
96192u2 |
96192.o |
96192u |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 167 \) |
\( 2^{19} \cdot 3^{10} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$589824$ |
$1.923697$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.44083$ |
$[0, 0, 0, -495660, -134307376]$ |
\(y^2=x^3-495660x-134307376\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 121242.w1 |
121242s2 |
121242.w |
121242s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 11^{6} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$6.474226344$ |
$1$ |
|
$0$ |
$552960$ |
$1.533617$ |
$70470585447625/4518018$ |
$0.95235$ |
$3.95313$ |
$[1, 1, 1, -104123, 12887975]$ |
\(y^2+xy+y=x^3+x^2-104123x+12887975\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(-5227/4, 233701/4)]$ |
| 147294.cc1 |
147294t2 |
147294.cc |
147294t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 167 \) |
\( 2 \cdot 3^{10} \cdot 7^{6} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$16.15453597$ |
$1$ |
|
$0$ |
$1179648$ |
$1.856930$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.21450$ |
$[1, -1, 1, -379490, -89880577]$ |
\(y^2+xy+y=x^3-x^2-379490x-89880577\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(48940411/258, 84795919297/258)]$ |
| 167334.c1 |
167334l2 |
167334.c |
167334l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 167^{2} \) |
\( 2 \cdot 3^{4} \cdot 167^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10708992$ |
$2.893665$ |
$70470585447625/4518018$ |
$0.95235$ |
$5.20415$ |
$[1, 1, 0, -23999065, 45239684587]$ |
\(y^2+xy=x^3+x^2-23999065x+45239684587\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 169338.s1 |
169338k2 |
169338.s |
169338k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 13^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$829440$ |
$1.617144$ |
$70470585447625/4518018$ |
$0.95235$ |
$3.92668$ |
$[1, 1, 1, -145428, -21405597]$ |
\(y^2+xy+y=x^3+x^2-145428x-21405597\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 200400.k1 |
200400bi2 |
200400.k |
200400bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1.564322625$ |
$1$ |
|
$7$ |
$1327104$ |
$1.832535$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.08423$ |
$[0, -1, 0, -344208, 77838912]$ |
\(y^2=x^3-x^2-344208x+77838912\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[(336, 72)]$ |
| 289578.d1 |
289578d2 |
289578.d |
289578d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 17^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1769472$ |
$1.751276$ |
$70470585447625/4518018$ |
$0.95235$ |
$3.88715$ |
$[1, 0, 1, -248691, -47753084]$ |
\(y^2+xy+y=x^3-248691x-47753084\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 361722.bc1 |
361722bc2 |
361722.bc |
361722bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 19^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2764800$ |
$1.806889$ |
$70470585447625/4518018$ |
$0.95235$ |
$3.87173$ |
$[1, 0, 0, -310648, 66612878]$ |
\(y^2+xy=x^3-310648x+66612878\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 363726.r1 |
363726r2 |
363726.r |
363726r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 167 \) |
\( 2 \cdot 3^{10} \cdot 11^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4423680$ |
$2.082924$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.12876$ |
$[1, -1, 0, -937107, -348912437]$ |
\(y^2+xy=x^3-x^2-937107x-348912437\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 392784.u1 |
392784u2 |
392784.u |
392784u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.000771$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.02759$ |
$[0, -1, 0, -674648, -213050256]$ |
\(y^2=x^3-x^2-674648x-213050256\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
