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 |
4488.d2 |
4488b2 |
4488.d |
4488b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.450823$ |
$1979654684/1499553$ |
$0.87760$ |
$3.36986$ |
$[0, -1, 0, 264, 828]$ |
\(y^2=x^3-x^2+264x+828\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
8976.bf2 |
8976h2 |
8976.bf |
8976h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.450823$ |
$1979654684/1499553$ |
$0.87760$ |
$3.11324$ |
$[0, 1, 0, 264, -828]$ |
\(y^2=x^3+x^2+264x-828\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
13464.a2 |
13464q2 |
13464.a |
13464q |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.618548166$ |
$1$ |
|
$15$ |
$30720$ |
$1.000130$ |
$1979654684/1499553$ |
$0.87760$ |
$3.67377$ |
$[0, 0, 0, 2373, -24730]$ |
\(y^2=x^3+2373x-24730\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(43, 396), (142, 1782)]$ |
26928.f2 |
26928v2 |
26928.f |
26928v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.000130$ |
$1979654684/1499553$ |
$0.87760$ |
$3.42414$ |
$[0, 0, 0, 2373, 24730]$ |
\(y^2=x^3+2373x+24730\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
35904.c2 |
35904cb2 |
35904.c |
35904cb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$3.135536985$ |
$1$ |
|
$3$ |
$61440$ |
$0.797397$ |
$1979654684/1499553$ |
$0.87760$ |
$3.09827$ |
$[0, -1, 0, 1055, -7679]$ |
\(y^2=x^3-x^2+1055x-7679\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(23, 168)]$ |
35904.bq2 |
35904bd2 |
35904.bq |
35904bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 11^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$0.916281201$ |
$1$ |
|
$27$ |
$61440$ |
$0.797397$ |
$1979654684/1499553$ |
$0.87760$ |
$3.09827$ |
$[0, 1, 0, 1055, 7679]$ |
\(y^2=x^3+x^2+1055x+7679\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(59, 528), (-5, 48)]$ |
49368.q2 |
49368ba2 |
49368.q |
49368ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$460800$ |
$1.649771$ |
$1979654684/1499553$ |
$0.87760$ |
$3.95344$ |
$[0, -1, 0, 31904, -1229732]$ |
\(y^2=x^3-x^2+31904x-1229732\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
76296.o2 |
76296g2 |
76296.o |
76296g |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.867430$ |
$1979654684/1499553$ |
$0.87760$ |
$4.03268$ |
$[0, 1, 0, 76200, 4525344]$ |
\(y^2=x^3+x^2+76200x+4525344\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
98736.dn2 |
98736bj2 |
98736.dn |
98736bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$921600$ |
$1.649771$ |
$1979654684/1499553$ |
$0.87760$ |
$3.71515$ |
$[0, 1, 0, 31904, 1229732]$ |
\(y^2=x^3+x^2+31904x+1229732\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
107712.et2 |
107712cs2 |
107712.et |
107712cs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{16} \cdot 3^{12} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.346703$ |
$1979654684/1499553$ |
$0.87760$ |
$3.37339$ |
$[0, 0, 0, 9492, -197840]$ |
\(y^2=x^3+9492x-197840\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
107712.fe2 |
107712ef2 |
107712.fe |
107712ef |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{16} \cdot 3^{12} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$491520$ |
$1.346703$ |
$1979654684/1499553$ |
$0.87760$ |
$3.37339$ |
$[0, 0, 0, 9492, 197840]$ |
\(y^2=x^3+9492x+197840\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
112200.cr2 |
112200cp2 |
112200.cr |
112200cp |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.982633627$ |
$1$ |
|
$5$ |
$307200$ |
$1.255543$ |
$1979654684/1499553$ |
$0.87760$ |
$3.26747$ |
$[0, 1, 0, 6592, 116688]$ |
\(y^2=x^3+x^2+6592x+116688\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(-8, 252)]$ |
148104.d2 |
148104bm2 |
148104.d |
148104bm |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{12} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$3.817194625$ |
$1$ |
|
$3$ |
$3686400$ |
$2.199078$ |
$1979654684/1499553$ |
$0.87760$ |
$4.14229$ |
$[0, 0, 0, 287133, 32915630]$ |
\(y^2=x^3+287133x+32915630\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(214, 10206)]$ |
152592.a2 |
152592db2 |
152592.a |
152592db |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$1.867430$ |
$1979654684/1499553$ |
$0.87760$ |
$3.79849$ |
$[0, -1, 0, 76200, -4525344]$ |
\(y^2=x^3-x^2+76200x-4525344\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
219912.bh2 |
219912ba2 |
219912.bh |
219912ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.001237270$ |
$1$ |
|
$7$ |
$1105920$ |
$1.423779$ |
$1979654684/1499553$ |
$0.87760$ |
$3.25284$ |
$[0, 1, 0, 12920, -309856]$ |
\(y^2=x^3+x^2+12920x-309856\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(44, 588)]$ |
224400.i2 |
224400hr2 |
224400.i |
224400hr |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$614400$ |
$1.255543$ |
$1979654684/1499553$ |
$0.87760$ |
$3.08366$ |
$[0, -1, 0, 6592, -116688]$ |
\(y^2=x^3-x^2+6592x-116688\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
228888.cm2 |
228888z2 |
228888.cm |
228888z |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8847360$ |
$2.416737$ |
$1979654684/1499553$ |
$0.87760$ |
$4.20782$ |
$[0, 0, 0, 685797, -121498490]$ |
\(y^2=x^3+685797x-121498490\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
296208.b2 |
296208b2 |
296208.b |
296208b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{10} \cdot 3^{12} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$3.253521570$ |
$1$ |
|
$3$ |
$7372800$ |
$2.199078$ |
$1979654684/1499553$ |
$0.87760$ |
$3.91439$ |
$[0, 0, 0, 287133, -32915630]$ |
\(y^2=x^3+287133x-32915630\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(594, 18634)]$ |
336600.ea2 |
336600ea2 |
336600.ea |
336600ea |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2457600$ |
$1.804848$ |
$1979654684/1499553$ |
$0.87760$ |
$3.50335$ |
$[0, 0, 0, 59325, -3091250]$ |
\(y^2=x^3+59325x-3091250\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
394944.c2 |
394944c2 |
394944.c |
394944c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 11^{8} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$10.79425548$ |
$1$ |
|
$9$ |
$7372800$ |
$1.996344$ |
$1979654684/1499553$ |
$0.87760$ |
$3.63822$ |
$[0, -1, 0, 127615, 9710241]$ |
\(y^2=x^3-x^2+127615x+9710241\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(48, 3993), (7087/3, 660176/3)]$ |
394944.fa2 |
394944fa2 |
394944.fa |
394944fa |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3^{6} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7372800$ |
$1.996344$ |
$1979654684/1499553$ |
$0.87760$ |
$3.63822$ |
$[0, 1, 0, 127615, -9710241]$ |
\(y^2=x^3+x^2+127615x-9710241\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |
439824.a2 |
439824a2 |
439824.a |
439824a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.208197914$ |
$1$ |
|
$7$ |
$2211840$ |
$1.423779$ |
$1979654684/1499553$ |
$0.87760$ |
$3.07932$ |
$[0, -1, 0, 12920, 309856]$ |
\(y^2=x^3-x^2+12920x+309856\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(54, 1078)]$ |
457776.ft2 |
457776ft2 |
457776.ft |
457776ft |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$2.416737$ |
$1979654684/1499553$ |
$0.87760$ |
$3.98405$ |
$[0, 0, 0, 685797, 121498490]$ |
\(y^2=x^3+685797x+121498490\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[ ]$ |