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 |
5610.h2 |
5610i2 |
5610.h |
5610i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$0.359713064$ |
$1$ |
|
$20$ |
$36864$ |
$1.745556$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.15810$ |
$[1, 1, 0, -58157, -3556311]$ |
\(y^2+xy=x^3+x^2-58157x-3556311\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 136.12.0.?, $\ldots$ |
$[(-77, 726)]$ |
16830.bq2 |
16830ca2 |
16830.bq |
16830ca |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$294912$ |
$2.294861$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.25315$ |
$[1, -1, 1, -523418, 95496981]$ |
\(y^2+xy+y=x^3-x^2-523418x+95496981\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[]$ |
28050.di2 |
28050dl2 |
28050.di |
28050dl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{14} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$22440$ |
$48$ |
$0$ |
$6.177409325$ |
$1$ |
|
$2$ |
$884736$ |
$2.550274$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.29040$ |
$[1, 0, 0, -1453938, -441631008]$ |
\(y^2+xy=x^3-1453938x-441631008\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, 408.12.0.?, $\ldots$ |
$[(-7723/4, 793421/4)]$ |
44880.cq2 |
44880cr2 |
44880.cq |
44880cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$884736$ |
$2.438702$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$4.93328$ |
$[0, 1, 0, -930520, 225742868]$ |
\(y^2=x^3+x^2-930520x+225742868\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
61710.by2 |
61710bz2 |
61710.by |
61710bz |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 11^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$4.574631432$ |
$1$ |
|
$4$ |
$4423680$ |
$2.944504$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.34113$ |
$[1, 1, 1, -7037060, 4698264737]$ |
\(y^2+xy+y=x^3+x^2-7037060x+4698264737\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[(5617, 374591)]$ |
84150.bi2 |
84150bb2 |
84150.bi |
84150bb |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$22440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7077888$ |
$3.099583$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.35915$ |
$[1, -1, 0, -13085442, 11924037216]$ |
\(y^2+xy=x^3-x^2-13085442x+11924037216\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 132.12.0.?, 408.12.0.?, 660.24.0.?, $\ldots$ |
$[]$ |
95370.bc2 |
95370x2 |
95370.bc |
95370x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$10616832$ |
$3.162163$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.36614$ |
$[1, 0, 1, -16807524, -17354503634]$ |
\(y^2+xy+y=x^3-16807524x-17354503634\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 132.12.0.?, 204.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
134640.bm2 |
134640ca2 |
134640.bm |
134640ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$3.182078917$ |
$1$ |
|
$9$ |
$7077888$ |
$2.988010$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.03251$ |
$[0, 0, 0, -8374683, -6103432118]$ |
\(y^2=x^3-8374683x-6103432118\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[(3327, 53482)]$ |
179520.bc2 |
179520dt2 |
179520.bc |
179520dt |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$3.587482118$ |
$1$ |
|
$9$ |
$7077888$ |
$2.785278$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$4.71175$ |
$[0, -1, 0, -3722081, 1809665025]$ |
\(y^2=x^3-x^2-3722081x+1809665025\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 68.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(363, 22500)]$ |
179520.fd2 |
179520gf2 |
179520.fd |
179520gf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7077888$ |
$2.785278$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$4.71175$ |
$[0, 1, 0, -3722081, -1809665025]$ |
\(y^2=x^3+x^2-3722081x-1809665025\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 68.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
185130.o2 |
185130ef2 |
185130.o |
185130ef |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 11^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$8.080100892$ |
$1$ |
|
$4$ |
$35389440$ |
$3.493809$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.40081$ |
$[1, -1, 0, -63333540, -126916481444]$ |
\(y^2+xy=x^3-x^2-63333540x-126916481444\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 136.12.0.?, $\ldots$ |
$[(415223, 267303326)]$ |
224400.cf2 |
224400fi2 |
224400.cf |
224400fi |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{14} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$22440$ |
$48$ |
$0$ |
$6.424699024$ |
$1$ |
|
$7$ |
$21233664$ |
$3.243423$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.07262$ |
$[0, -1, 0, -23263008, 28264384512]$ |
\(y^2=x^3-x^2-23263008x+28264384512\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, 408.12.0.?, $\ldots$ |
$[(4066, 29682)]$ |
274890.cb2 |
274890cb2 |
274890.cb |
274890cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31416$ |
$48$ |
$0$ |
$1.764557728$ |
$1$ |
|
$8$ |
$14155776$ |
$2.718510$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$4.48748$ |
$[1, 0, 1, -2849719, 1211265542]$ |
\(y^2+xy+y=x^3-2849719x+1211265542\) |
2.6.0.a.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, 408.12.0.?, $\ldots$ |
$[(1768, 40349)]$ |
286110.gf2 |
286110gf2 |
286110.gf |
286110gf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$2.900882803$ |
$1$ |
|
$4$ |
$84934656$ |
$3.711468$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.42157$ |
$[1, -1, 1, -151267712, 468571598111]$ |
\(y^2+xy+y=x^3-x^2-151267712x+468571598111\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 68.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(3081, 176659)]$ |
308550.ee2 |
308550ee2 |
308550.ee |
308550ee |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{14} \cdot 11^{12} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$22440$ |
$48$ |
$0$ |
$18.13260916$ |
$1$ |
|
$2$ |
$106168320$ |
$3.749222$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.42502$ |
$[1, 0, 1, -175926501, 587634945148]$ |
\(y^2+xy+y=x^3-175926501x+587634945148\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 132.12.0.?, 408.12.0.?, 660.24.0.?, $\ldots$ |
$[(2170423297/61, 101023078297676/61)]$ |
476850.gy2 |
476850gy2 |
476850.gy |
476850gy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{14} \cdot 11^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$22440$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$2$ |
$254803968$ |
$3.966881$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.44417$ |
$[1, 1, 1, -420188088, -2169312954219]$ |
\(y^2+xy+y=x^3+x^2-420188088x-2169312954219\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 132.12.0.?, 408.12.0.?, 1020.12.0.?, $\ldots$ |
$[]$ |
493680.gu2 |
493680gu2 |
493680.gu |
493680gu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 11^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$106168320$ |
$3.637650$ |
$21754112339458491481/7199734626562500$ |
$0.98263$ |
$5.12840$ |
$[0, 1, 0, -112592960, -300914129100]$ |
\(y^2=x^3+x^2-112592960x-300914129100\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[]$ |