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 |
22800.a1 |
22800ci1 |
22800.a |
22800ci |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$3.433929369$ |
$1$ |
|
$2$ |
$17280$ |
$0.661318$ |
$-1404928/171$ |
$0.86512$ |
$3.22096$ |
$[0, -1, 0, -933, -11763]$ |
\(y^2=x^3-x^2-933x-11763\) |
38.2.0.a.1 |
$[(36, 3)]$ |
22800.b1 |
22800cn1 |
22800.b |
22800cn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$0.462853881$ |
$1$ |
|
$6$ |
$30720$ |
$0.966394$ |
$-16539745/57$ |
$0.84560$ |
$3.76904$ |
$[0, -1, 0, -6208, 190912]$ |
\(y^2=x^3-x^2-6208x+190912\) |
228.2.0.? |
$[(42, 50)]$ |
22800.c1 |
22800e1 |
22800.c |
22800e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$0.811703599$ |
$1$ |
|
$2$ |
$1920$ |
$-0.341369$ |
$6288640/57$ |
$0.77054$ |
$2.15713$ |
$[0, -1, 0, -28, 67]$ |
\(y^2=x^3-x^2-28x+67\) |
114.2.0.? |
$[(3, 1)]$ |
22800.d1 |
22800d1 |
22800.d |
22800d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$4.028833567$ |
$1$ |
|
$2$ |
$26880$ |
$0.873524$ |
$70575104/61731$ |
$0.95058$ |
$3.31595$ |
$[0, -1, 0, 1367, -14363]$ |
\(y^2=x^3-x^2+1367x-14363\) |
38.2.0.a.1 |
$[(76, 723)]$ |
22800.e1 |
22800m2 |
22800.e |
22800m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$0.467111193$ |
$1$ |
|
$27$ |
$10240$ |
$0.503577$ |
$691234772/3249$ |
$0.96118$ |
$3.20033$ |
$[0, -1, 0, -928, 11152]$ |
\(y^2=x^3-x^2-928x+11152\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(22, 30), (16, 12)]$ |
22800.e2 |
22800m1 |
22800.e |
22800m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.868444773$ |
$1$ |
|
$13$ |
$5120$ |
$0.157003$ |
$-78608/1539$ |
$0.94217$ |
$2.51096$ |
$[0, -1, 0, -28, 352]$ |
\(y^2=x^3-x^2-28x+352\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[(1, 18), (-3, 20)]$ |
22800.f1 |
22800bt2 |
22800.f |
22800bt |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{12} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.783499$ |
$18148802937424/1947796875$ |
$0.94495$ |
$4.55741$ |
$[0, -1, 0, -86908, -8871188]$ |
\(y^2=x^3-x^2-86908x-8871188\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[]$ |
22800.f2 |
22800bt1 |
22800.f |
22800bt |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.436924$ |
$267219216891904/3655125$ |
$1.09107$ |
$4.54913$ |
$[0, -1, 0, -84533, -9431688]$ |
\(y^2=x^3-x^2-84533x-9431688\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[]$ |
22800.g1 |
22800bu2 |
22800.g |
22800bu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{19} \cdot 3 \cdot 5^{12} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$2.167385$ |
$882774443450089/2166000000$ |
$0.98264$ |
$5.22083$ |
$[0, -1, 0, -799408, 274789312]$ |
\(y^2=x^3-x^2-799408x+274789312\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[]$ |
22800.g2 |
22800bu1 |
22800.g |
22800bu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{26} \cdot 3^{2} \cdot 5^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$1.820810$ |
$-53540005609/350208000$ |
$0.96547$ |
$4.50325$ |
$[0, -1, 0, -31408, 7525312]$ |
\(y^2=x^3-x^2-31408x+7525312\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[]$ |
22800.h1 |
22800cl2 |
22800.h |
22800cl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3 \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$4.642283600$ |
$1$ |
|
$2$ |
$103680$ |
$1.636684$ |
$-1392225385/1316928$ |
$0.92383$ |
$4.30675$ |
$[0, -1, 0, -27208, 2812912]$ |
\(y^2=x^3-x^2-27208x+2812912\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 114.8.0.?, 228.16.0.? |
$[(18, 1526)]$ |
22800.h2 |
22800cl1 |
22800.h |
22800cl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$1.547427866$ |
$1$ |
|
$2$ |
$34560$ |
$1.087379$ |
$1503815/2052$ |
$0.84655$ |
$3.55999$ |
$[0, -1, 0, 2792, -67088]$ |
\(y^2=x^3-x^2+2792x-67088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 114.8.0.?, 228.16.0.? |
$[(42, 350)]$ |
22800.i1 |
22800br2 |
22800.i |
22800br |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{13} \cdot 3 \cdot 5^{8} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.994962753$ |
$1$ |
|
$21$ |
$55296$ |
$1.201439$ |
$2992209121/54150$ |
$0.89013$ |
$3.96568$ |
$[0, -1, 0, -12008, 502512]$ |
\(y^2=x^3-x^2-12008x+502512\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(76, 152), (82, 250)]$ |
22800.i2 |
22800br1 |
22800.i |
22800br |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{7} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.994962753$ |
$1$ |
|
$21$ |
$27648$ |
$0.854866$ |
$-1/3420$ |
$1.10256$ |
$3.34511$ |
$[0, -1, 0, -8, 22512]$ |
\(y^2=x^3-x^2-8x+22512\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(2, 150), (-23, 100)]$ |
22800.j1 |
22800i1 |
22800.j |
22800i |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.624661$ |
$-972542500/373977$ |
$0.96463$ |
$3.12474$ |
$[0, -1, 0, -608, -7248]$ |
\(y^2=x^3-x^2-608x-7248\) |
228.2.0.? |
$[]$ |
22800.k1 |
22800bs2 |
22800.k |
22800bs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{12} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.745932$ |
$6947097508441/10687500$ |
$0.95430$ |
$4.73802$ |
$[0, -1, 0, -159008, -24319488]$ |
\(y^2=x^3-x^2-159008x-24319488\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
22800.k2 |
22800bs1 |
22800.k |
22800bs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{16} \cdot 3 \cdot 5^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.399359$ |
$-594823321/2166000$ |
$1.06643$ |
$4.00268$ |
$[0, -1, 0, -7008, -607488]$ |
\(y^2=x^3-x^2-7008x-607488\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
22800.l1 |
22800cf2 |
22800.l |
22800cf |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{12} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1.877578494$ |
$1$ |
|
$5$ |
$73728$ |
$1.508205$ |
$90458382169/2671875$ |
$1.09032$ |
$4.30539$ |
$[0, -1, 0, -37408, 2725312]$ |
\(y^2=x^3-x^2-37408x+2725312\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[(82, 450)]$ |
22800.l2 |
22800cf1 |
22800.l |
22800cf |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$0.938789247$ |
$1$ |
|
$7$ |
$36864$ |
$1.161633$ |
$357911/135375$ |
$0.95197$ |
$3.71153$ |
$[0, -1, 0, 592, 141312]$ |
\(y^2=x^3-x^2+592x+141312\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[(-38, 250)]$ |
22800.m1 |
22800q1 |
22800.m |
22800q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.321291313$ |
$1$ |
|
$3$ |
$7168$ |
$0.184161$ |
$61011968/29241$ |
$0.91919$ |
$2.54397$ |
$[0, -1, 0, -103, 202]$ |
\(y^2=x^3-x^2-103x+202\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(22, 90)]$ |
22800.m2 |
22800q2 |
22800.m |
22800q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.642582627$ |
$1$ |
|
$5$ |
$14336$ |
$0.530735$ |
$177433072/124659$ |
$0.89761$ |
$2.92666$ |
$[0, -1, 0, 372, 1152]$ |
\(y^2=x^3-x^2+372x+1152\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[(17, 110)]$ |
22800.n1 |
22800p1 |
22800.n |
22800p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$23.98335157$ |
$1$ |
|
$0$ |
$241920$ |
$1.978437$ |
$59208551269469440/373977$ |
$1.01164$ |
$5.40813$ |
$[0, -1, 0, -1495708, -703575713]$ |
\(y^2=x^3-x^2-1495708x-703575713\) |
114.2.0.? |
$[(-1368836605809/44039, 115619640310877/44039)]$ |
22800.o1 |
22800cc1 |
22800.o |
22800cc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1.406357023$ |
$1$ |
|
$2$ |
$1728$ |
$-0.275464$ |
$1703680/513$ |
$0.75640$ |
$2.02698$ |
$[0, -1, 0, -18, 27]$ |
\(y^2=x^3-x^2-18x+27\) |
114.2.0.? |
$[(1, 3)]$ |
22800.p1 |
22800o1 |
22800.p |
22800o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1.147020642$ |
$1$ |
|
$2$ |
$126720$ |
$1.817013$ |
$33499672587520/1215051273$ |
$0.97060$ |
$4.66297$ |
$[0, -1, 0, -123708, 16255287]$ |
\(y^2=x^3-x^2-123708x+16255287\) |
114.2.0.? |
$[(167, 475)]$ |
22800.q1 |
22800j1 |
22800.q |
22800j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{4} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$0.783237$ |
$76857529600/3365793$ |
$0.94202$ |
$3.41577$ |
$[0, -1, 0, -1908, -30213]$ |
\(y^2=x^3-x^2-1908x-30213\) |
114.2.0.? |
$[]$ |
22800.r1 |
22800cb1 |
22800.r |
22800cb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{10} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$3.817316281$ |
$1$ |
|
$2$ |
$322560$ |
$2.098881$ |
$17446602575/15000633$ |
$0.97617$ |
$4.78295$ |
$[0, -1, 0, 184792, -21371088]$ |
\(y^2=x^3-x^2+184792x-21371088\) |
228.2.0.? |
$[(346, 9158)]$ |
22800.s1 |
22800h4 |
22800.s |
22800h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{11} \cdot 3 \cdot 5^{10} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$10.87256589$ |
$1$ |
|
$9$ |
$73728$ |
$1.389662$ |
$784767874322/35625$ |
$0.93368$ |
$4.45162$ |
$[0, -1, 0, -61008, -5779488]$ |
\(y^2=x^3-x^2-61008x-5779488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 380.12.0.?, $\ldots$ |
$[(-142, 14), (2357, 113750)]$ |
22800.s2 |
22800h3 |
22800.s |
22800h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{11} \cdot 3 \cdot 5^{7} \cdot 19^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$2.718141474$ |
$1$ |
|
$21$ |
$73728$ |
$1.389662$ |
$23735908082/1954815$ |
$0.98069$ |
$4.10299$ |
$[0, -1, 0, -19008, 940512]$ |
\(y^2=x^3-x^2-19008x+940512\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[(52, 300), (-148, 700)]$ |
22800.s3 |
22800h2 |
22800.s |
22800h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{8} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$2.718141474$ |
$1$ |
|
$25$ |
$36864$ |
$1.043089$ |
$445138564/81225$ |
$0.85792$ |
$3.63764$ |
$[0, -1, 0, -4008, -79488]$ |
\(y^2=x^3-x^2-4008x-79488\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 380.24.0.?, 456.24.0.?, $\ldots$ |
$[(-42, 114), (-24, 48)]$ |
22800.s4 |
22800h1 |
22800.s |
22800h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$2.718141474$ |
$1$ |
|
$13$ |
$18432$ |
$0.696515$ |
$3286064/7695$ |
$0.79727$ |
$3.12133$ |
$[0, -1, 0, 492, -7488]$ |
\(y^2=x^3-x^2+492x-7488\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$ |
$[(32, 200), (21, 108)]$ |
22800.t1 |
22800ca4 |
22800.t |
22800ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{13} \cdot 3 \cdot 5^{14} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$4.269536308$ |
$1$ |
|
$3$ |
$147456$ |
$1.860785$ |
$26487576322129/44531250$ |
$0.96284$ |
$4.87140$ |
$[0, -1, 0, -248408, 47667312]$ |
\(y^2=x^3-x^2-248408x+47667312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 456.24.0.?, $\ldots$ |
$[(306, 462)]$ |
22800.t2 |
22800ca2 |
22800.t |
22800ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2280$ |
$48$ |
$0$ |
$2.134768154$ |
$1$ |
|
$9$ |
$73728$ |
$1.514210$ |
$14688124849/8122500$ |
$0.96350$ |
$4.12423$ |
$[0, -1, 0, -20408, 243312]$ |
\(y^2=x^3-x^2-20408x+243312\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 228.12.0.?, $\ldots$ |
$[(2, 450)]$ |
22800.t3 |
22800ca1 |
22800.t |
22800ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{16} \cdot 3 \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$4.269536308$ |
$1$ |
|
$3$ |
$36864$ |
$1.167637$ |
$3301293169/22800$ |
$0.89080$ |
$3.97548$ |
$[0, -1, 0, -12408, -524688]$ |
\(y^2=x^3-x^2-12408x-524688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$ |
$[(508, 11136)]$ |
22800.t4 |
22800ca3 |
22800.t |
22800ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2280$ |
$48$ |
$0$ |
$1.067384077$ |
$1$ |
|
$7$ |
$147456$ |
$1.860785$ |
$871257511151/527800050$ |
$0.99326$ |
$4.53112$ |
$[0, -1, 0, 79592, 1843312]$ |
\(y^2=x^3-x^2+79592x+1843312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$ |
$[(148, 4104)]$ |
22800.u1 |
22800by2 |
22800.u |
22800by |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$2.823568109$ |
$1$ |
|
$3$ |
$18432$ |
$0.827274$ |
$340062928/13851$ |
$0.89938$ |
$3.47266$ |
$[0, -1, 0, -2308, -40388]$ |
\(y^2=x^3-x^2-2308x-40388\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[(57, 100)]$ |
22800.u2 |
22800by1 |
22800.u |
22800by |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$5.647136219$ |
$1$ |
|
$3$ |
$9216$ |
$0.480701$ |
$131072/9747$ |
$1.13743$ |
$2.89609$ |
$[0, -1, 0, 67, -2388]$ |
\(y^2=x^3-x^2+67x-2388\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(1228, 43016)]$ |
22800.v1 |
22800bx1 |
22800.v |
22800bx |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3 \cdot 5^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$3.306801165$ |
$1$ |
|
$2$ |
$18432$ |
$0.903243$ |
$272199695/3735552$ |
$0.95892$ |
$3.39645$ |
$[0, -1, 0, 632, 28912]$ |
\(y^2=x^3-x^2+632x+28912\) |
228.2.0.? |
$[(18, 214)]$ |
22800.w1 |
22800a4 |
22800.w |
22800a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3 \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$14.55103583$ |
$1$ |
|
$1$ |
$98304$ |
$1.761169$ |
$3034301922374404/1425$ |
$0.98180$ |
$5.20572$ |
$[0, -1, 0, -760008, -254767488]$ |
\(y^2=x^3-x^2-760008x-254767488\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[(9744293/37, 30175645150/37)]$ |
22800.w2 |
22800a3 |
22800.w |
22800a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{14} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$3.637758958$ |
$1$ |
|
$5$ |
$98304$ |
$1.761169$ |
$1280615525284/601171875$ |
$0.96025$ |
$4.43135$ |
$[0, -1, 0, -57008, -2257488]$ |
\(y^2=x^3-x^2-57008x-2257488\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 76.12.0.?, $\ldots$ |
$[(262, 850)]$ |
22800.w3 |
22800a2 |
22800.w |
22800a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$7.275517916$ |
$1$ |
|
$5$ |
$49152$ |
$1.414597$ |
$2964647793616/2030625$ |
$0.92774$ |
$4.37685$ |
$[0, -1, 0, -47508, -3967488]$ |
\(y^2=x^3-x^2-47508x-3967488\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[(7097, 597550)]$ |
22800.w4 |
22800a1 |
22800.w |
22800a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3 \cdot 5^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$14.55103583$ |
$1$ |
|
$1$ |
$24576$ |
$1.068024$ |
$-5988775936/9774075$ |
$0.93093$ |
$3.61579$ |
$[0, -1, 0, -2383, -86738]$ |
\(y^2=x^3-x^2-2383x-86738\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(10249137/76, 32789942975/76)]$ |
22800.x1 |
22800bz4 |
22800.x |
22800bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$6.675434830$ |
$1$ |
|
$3$ |
$737280$ |
$2.599304$ |
$74220219816682217473/16416$ |
$1.10905$ |
$6.35088$ |
$[0, -1, 0, -35020808, 79781264112]$ |
\(y^2=x^3-x^2-35020808x+79781264112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 456.24.0.?, $\ldots$ |
$[(4506, 115962)]$ |
22800.x2 |
22800bz2 |
22800.x |
22800bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{6} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$2280$ |
$48$ |
$0$ |
$3.337717415$ |
$1$ |
|
$7$ |
$368640$ |
$2.252731$ |
$18120364883707393/269485056$ |
$1.09068$ |
$5.52196$ |
$[0, -1, 0, -2188808, 1247120112]$ |
\(y^2=x^3-x^2-2188808x+1247120112\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 228.12.0.?, $\ldots$ |
$[(-358, 44550)]$ |
22800.x3 |
22800bz3 |
22800.x |
22800bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{12} \cdot 5^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$2280$ |
$48$ |
$0$ |
$1.668858707$ |
$1$ |
|
$5$ |
$737280$ |
$2.599304$ |
$-16576888679672833/2216253521952$ |
$1.04427$ |
$5.53380$ |
$[0, -1, 0, -2124808, 1323408112]$ |
\(y^2=x^3-x^2-2124808x+1323408112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$ |
$[(-1228, 45600)]$ |
22800.x4 |
22800bz1 |
22800.x |
22800bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{32} \cdot 3^{3} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2280$ |
$48$ |
$0$ |
$6.675434830$ |
$1$ |
|
$1$ |
$184320$ |
$1.906158$ |
$4824238966273/537919488$ |
$1.00823$ |
$4.70168$ |
$[0, -1, 0, -140808, 18320112]$ |
\(y^2=x^3-x^2-140808x+18320112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$ |
$[(-827/3, 149050/3)]$ |
22800.y1 |
22800co2 |
22800.y |
22800co |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{17} \cdot 3 \cdot 5^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$230400$ |
$2.013794$ |
$14809006736693/34656$ |
$1.03845$ |
$5.29462$ |
$[0, -1, 0, -1023208, -398035088]$ |
\(y^2=x^3-x^2-1023208x-398035088\) |
2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? |
$[]$ |
22800.y2 |
22800co1 |
22800.y |
22800co |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{22} \cdot 3^{2} \cdot 5^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$115200$ |
$1.667219$ |
$-3491055413/175104$ |
$0.98978$ |
$4.47050$ |
$[0, -1, 0, -63208, -6355088]$ |
\(y^2=x^3-x^2-63208x-6355088\) |
2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? |
$[]$ |
22800.z1 |
22800cp2 |
22800.z |
22800cp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{13} \cdot 3^{14} \cdot 5^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64512$ |
$1.377083$ |
$428831641421/181752822$ |
$0.98464$ |
$3.97931$ |
$[0, -1, 0, -12568, -276368]$ |
\(y^2=x^3-x^2-12568x-276368\) |
2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[]$ |
22800.z2 |
22800cp1 |
22800.z |
22800cp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32256$ |
$1.030508$ |
$3936827539/3158028$ |
$0.95500$ |
$3.51185$ |
$[0, -1, 0, 2632, -33168]$ |
\(y^2=x^3-x^2+2632x-33168\) |
2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[]$ |
22800.ba1 |
22800cj2 |
22800.ba |
22800cj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3 \cdot 5^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$228$ |
$16$ |
$0$ |
$2.364649738$ |
$1$ |
|
$2$ |
$10368$ |
$0.548737$ |
$41850899200/20577$ |
$0.93431$ |
$3.35519$ |
$[0, -1, 0, -1558, 24187]$ |
\(y^2=x^3-x^2-1558x+24187\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 114.8.0.?, 228.16.0.? |
$[(21, 17)]$ |