| 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 |
| 4160.a1 |
4160c1 |
4160.a |
4160c |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$520$ |
$48$ |
$0$ |
$1.418418896$ |
$1$ |
|
$5$ |
$512$ |
$-0.047762$ |
$3631696/65$ |
$0.75998$ |
$2.97714$ |
$[0, 1, 0, -81, -305]$ |
\(y^2=x^3+x^2-81x-305\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(-6, 1)]$ |
| 4160.a2 |
4160c2 |
4160.a |
4160c |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$520$ |
$48$ |
$0$ |
$0.709209448$ |
$1$ |
|
$9$ |
$1024$ |
$0.298811$ |
$-4/4225$ |
$1.09431$ |
$3.22729$ |
$[0, 1, 0, -1, -801]$ |
\(y^2=x^3+x^2-x-801\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 260.12.0.?, 520.48.0.? |
$[(19, 80)]$ |
| 4160.b1 |
4160n3 |
4160.b |
4160n |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{30} \cdot 5 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.22, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$1.270170$ |
$988345570681/44994560$ |
$0.95432$ |
$4.81155$ |
$[0, 1, 0, -13281, 561055]$ |
\(y^2=x^3+x^2-13281x+561055\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$ |
$[]$ |
| 4160.b2 |
4160n1 |
4160.b |
4160n |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.22, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.720864$ |
$3803721481/26000$ |
$0.90619$ |
$4.14434$ |
$[0, 1, 0, -2081, -37025]$ |
\(y^2=x^3+x^2-2081x-37025\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$ |
$[]$ |
| 4160.b3 |
4160n2 |
4160.b |
4160n |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.37, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.067438$ |
$-217081801/10562500$ |
$0.97746$ |
$4.33395$ |
$[0, 1, 0, -801, -80801]$ |
\(y^2=x^3+x^2-801x-80801\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 8.12.0-4.a.1.1, $\ldots$ |
$[]$ |
| 4160.b4 |
4160n4 |
4160.b |
4160n |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{24} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.37, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.616743$ |
$157376536199/7722894400$ |
$1.01877$ |
$5.12247$ |
$[0, 1, 0, 7199, 2154399]$ |
\(y^2=x^3+x^2+7199x+2154399\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 8.12.0-4.a.1.1, $\ldots$ |
$[]$ |
| 4160.c1 |
4160i1 |
4160.c |
4160i |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 5^{5} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$1.535656512$ |
$1$ |
|
$5$ |
$15360$ |
$1.396671$ |
$65787589563409/10400000$ |
$0.97958$ |
$5.31533$ |
$[0, 1, 0, -53825, -4823777]$ |
\(y^2=x^3+x^2-53825x-4823777\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(-134, 25)]$ |
| 4160.c2 |
4160i2 |
4160.c |
4160i |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{22} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$0.767828256$ |
$1$ |
|
$9$ |
$30720$ |
$1.743246$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$5.35863$ |
$[0, 1, 0, -48705, -5773025]$ |
\(y^2=x^3+x^2-48705x-5773025\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 260.24.0.?, 520.48.0.? |
$[(315, 3200)]$ |
| 4160.d1 |
4160h1 |
4160.d |
4160h |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$1.132681336$ |
$1$ |
|
$3$ |
$1536$ |
$0.332567$ |
$153910165504/845$ |
$0.97660$ |
$3.92296$ |
$[0, 1, 0, -1125, 14155]$ |
\(y^2=x^3+x^2-1125x+14155\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 10.6.0.a.1, 20.12.0.e.1, $\ldots$ |
$[(3, 104)]$ |
| 4160.d2 |
4160h2 |
4160.d |
4160h |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$0.566340668$ |
$1$ |
|
$7$ |
$3072$ |
$0.679140$ |
$-9115564624/714025$ |
$0.88863$ |
$3.93174$ |
$[0, 1, 0, -1105, 14703]$ |
\(y^2=x^3+x^2-1105x+14703\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 20.24.0-20.d.1.1, 520.48.0.? |
$[(13, 52)]$ |
| 4160.e1 |
4160t2 |
4160.e |
4160t |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.103632$ |
$1111934656/65$ |
$0.93766$ |
$3.49768$ |
$[0, 1, 0, -345, -2585]$ |
\(y^2=x^3+x^2-345x-2585\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 130.6.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 4160.e2 |
4160t1 |
4160.e |
4160t |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$-0.242941$ |
$-14526784/4225$ |
$0.88671$ |
$2.52693$ |
$[0, 1, 0, -20, -50]$ |
\(y^2=x^3+x^2-20x-50\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 260.24.0.?, 520.48.0.? |
$[]$ |
| 4160.f1 |
4160s1 |
4160.f |
4160s |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.078106$ |
$117649/65$ |
$0.95681$ |
$2.89828$ |
$[0, 1, 0, -65, -65]$ |
\(y^2=x^3+x^2-65x-65\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 4160.f2 |
4160s2 |
4160.f |
4160s |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{18} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.424679$ |
$6967871/4225$ |
$0.89914$ |
$3.38804$ |
$[0, 1, 0, 255, -257]$ |
\(y^2=x^3+x^2+255x-257\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 260.24.0.?, 520.48.0.? |
$[]$ |
| 4160.g1 |
4160l3 |
4160.g |
4160l |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.108 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.843242$ |
$9001508089608/325$ |
$0.99017$ |
$4.82711$ |
$[0, 0, 0, -13868, -628592]$ |
\(y^2=x^3-13868x-628592\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 52.12.0-4.c.1.1, 80.48.0.?, $\ldots$ |
$[]$ |
| 4160.g2 |
4160l4 |
4160.g |
4160l |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.112 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.843242$ |
$9024895368/5078125$ |
$1.17370$ |
$3.99849$ |
$[0, 0, 0, -1388, 3312]$ |
\(y^2=x^3-1388x+3312\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 52.12.0-4.c.1.2, 80.48.0.?, $\ldots$ |
$[]$ |
| 4160.g3 |
4160l2 |
4160.g |
4160l |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.29 |
2Cs |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.496668$ |
$17657244864/105625$ |
$1.13826$ |
$3.82949$ |
$[0, 0, 0, -868, -9792]$ |
\(y^2=x^3-868x-9792\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.1, 40.48.0-40.j.1.4, 52.24.0-4.a.1.2, $\ldots$ |
$[]$ |
| 4160.g4 |
4160l1 |
4160.g |
4160l |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.69 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.150095$ |
$-21024576/714025$ |
$1.05309$ |
$3.01312$ |
$[0, 0, 0, -23, -328]$ |
\(y^2=x^3-23x-328\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 20.24.0-4.d.1.2, 40.48.0-40.z.1.1, $\ldots$ |
$[]$ |
| 4160.h1 |
4160j3 |
4160.h |
4160j |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.220 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.235508$ |
$294889639316481/260$ |
$1.02336$ |
$5.49535$ |
$[0, 0, 0, -88748, 10176208]$ |
\(y^2=x^3-88748x+10176208\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 16.48.0-16.i.1.7, 130.6.0.?, $\ldots$ |
$[]$ |
| 4160.h2 |
4160j2 |
4160.h |
4160j |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.156 |
2Cs |
$520$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.888934$ |
$72043225281/67600$ |
$1.01871$ |
$4.49730$ |
$[0, 0, 0, -5548, 158928]$ |
\(y^2=x^3-5548x+158928\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.g.1.2, 260.24.0.?, 520.192.3.? |
$[]$ |
| 4160.h3 |
4160j4 |
4160.h |
4160j |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 5^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.4 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.235508$ |
$-32798729601/71402500$ |
$1.04885$ |
$4.59015$ |
$[0, 0, 0, -4268, 234192]$ |
\(y^2=x^3-4268x+234192\) |
2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.1, 520.96.1.?, 1040.192.3.? |
$[]$ |
| 4160.h4 |
4160j1 |
4160.h |
4160j |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.216 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.542360$ |
$33076161/16640$ |
$0.93564$ |
$3.57494$ |
$[0, 0, 0, -428, 1232]$ |
\(y^2=x^3-428x+1232\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 16.48.0-16.i.1.5, 130.6.0.?, $\ldots$ |
$[]$ |
| 4160.i1 |
4160a3 |
4160.i |
4160a |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{20} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.216 |
2B |
$1040$ |
$192$ |
$3$ |
$11.99812495$ |
$1$ |
|
$1$ |
$6144$ |
$1.235508$ |
$294889639316481/260$ |
$1.02336$ |
$5.49535$ |
$[0, 0, 0, -88748, -10176208]$ |
\(y^2=x^3-88748x-10176208\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 16.48.0-16.i.1.5, 130.6.0.?, $\ldots$ |
$[(316472/7, 177841140/7)]$ |
| 4160.i2 |
4160a2 |
4160.i |
4160a |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.156 |
2Cs |
$520$ |
$192$ |
$3$ |
$5.999062478$ |
$1$ |
|
$5$ |
$3072$ |
$0.888934$ |
$72043225281/67600$ |
$1.01871$ |
$4.49730$ |
$[0, 0, 0, -5548, -158928]$ |
\(y^2=x^3-5548x-158928\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.g.1.2, 260.24.0.?, 520.192.3.? |
$[(6456, 518700)]$ |
| 4160.i3 |
4160a4 |
4160.i |
4160a |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.4 |
2B |
$1040$ |
$192$ |
$3$ |
$2.999531239$ |
$1$ |
|
$3$ |
$6144$ |
$1.235508$ |
$-32798729601/71402500$ |
$1.04885$ |
$4.59015$ |
$[0, 0, 0, -4268, -234192]$ |
\(y^2=x^3-4268x-234192\) |
2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.1, 520.96.1.?, 1040.192.3.? |
$[(182, 2240)]$ |
| 4160.i4 |
4160a1 |
4160.i |
4160a |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.220 |
2B |
$1040$ |
$192$ |
$3$ |
$2.999531239$ |
$1$ |
|
$3$ |
$1536$ |
$0.542360$ |
$33076161/16640$ |
$0.93564$ |
$3.57494$ |
$[0, 0, 0, -428, -1232]$ |
\(y^2=x^3-428x-1232\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 16.48.0-16.i.1.7, 130.6.0.?, $\ldots$ |
$[(-3, 5)]$ |
| 4160.j1 |
4160k4 |
4160.j |
4160k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.112 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.843242$ |
$9001508089608/325$ |
$0.99017$ |
$4.82711$ |
$[0, 0, 0, -13868, 628592]$ |
\(y^2=x^3-13868x+628592\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 52.12.0-4.c.1.2, 80.48.0.?, $\ldots$ |
$[]$ |
| 4160.j2 |
4160k3 |
4160.j |
4160k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.108 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.843242$ |
$9024895368/5078125$ |
$1.17370$ |
$3.99849$ |
$[0, 0, 0, -1388, -3312]$ |
\(y^2=x^3-1388x-3312\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 52.12.0-4.c.1.1, 80.48.0.?, $\ldots$ |
$[]$ |
| 4160.j3 |
4160k2 |
4160.j |
4160k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.29 |
2Cs |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.496668$ |
$17657244864/105625$ |
$1.13826$ |
$3.82949$ |
$[0, 0, 0, -868, 9792]$ |
\(y^2=x^3-868x+9792\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.1, 40.48.0-40.j.1.4, 52.24.0-4.a.1.2, $\ldots$ |
$[]$ |
| 4160.j4 |
4160k1 |
4160.j |
4160k |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.69 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.150095$ |
$-21024576/714025$ |
$1.05309$ |
$3.01312$ |
$[0, 0, 0, -23, 328]$ |
\(y^2=x^3-23x+328\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.1, 20.24.0-4.d.1.2, 40.48.0-40.z.1.1, $\ldots$ |
$[]$ |
| 4160.k1 |
4160f2 |
4160.k |
4160f |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$4.862091755$ |
$1$ |
|
$1$ |
$1024$ |
$0.418184$ |
$140283769536/325$ |
$1.22475$ |
$4.07819$ |
$[0, 0, 0, -1732, -27744]$ |
\(y^2=x^3-1732x-27744\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(193/2, 255/2)]$ |
| 4160.k2 |
4160f1 |
4160.k |
4160f |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$2.431045877$ |
$1$ |
|
$3$ |
$512$ |
$0.071611$ |
$-2116874304/105625$ |
$0.98956$ |
$3.08580$ |
$[0, 0, 0, -107, -444]$ |
\(y^2=x^3-107x-444\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 520.48.0.? |
$[(32, 170)]$ |
| 4160.l1 |
4160o3 |
4160.l |
4160o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{17} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.659695$ |
$9636491538/8125$ |
$0.94289$ |
$4.17271$ |
$[0, 0, 0, -2252, 41104]$ |
\(y^2=x^3-2252x+41104\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.2, 104.24.0.?, 520.48.0.? |
$[]$ |
| 4160.l2 |
4160o2 |
4160.l |
4160o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.313121$ |
$8586756/4225$ |
$0.96662$ |
$3.24675$ |
$[0, 0, 0, -172, 336]$ |
\(y^2=x^3-172x+336\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.4, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 4160.l3 |
4160o1 |
4160.l |
4160o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$-0.033453$ |
$5256144/65$ |
$0.85145$ |
$3.02150$ |
$[0, 0, 0, -92, -336]$ |
\(y^2=x^3-92x-336\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.13, 104.24.0.?, $\ldots$ |
$[]$ |
| 4160.l4 |
4160o4 |
4160.l |
4160o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{17} \cdot 5 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.659695$ |
$208974222/142805$ |
$0.95226$ |
$3.71297$ |
$[0, 0, 0, 628, 2576]$ |
\(y^2=x^3+628x+2576\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.s.1.1, 104.24.0.?, 520.48.0.? |
$[]$ |
| 4160.m1 |
4160d3 |
4160.m |
4160d |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{17} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1.379819810$ |
$1$ |
|
$3$ |
$2048$ |
$0.659695$ |
$9636491538/8125$ |
$0.94289$ |
$4.17271$ |
$[0, 0, 0, -2252, -41104]$ |
\(y^2=x^3-2252x-41104\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.10, 104.24.0.?, 520.48.0.? |
$[(62, 240)]$ |
| 4160.m2 |
4160d2 |
4160.m |
4160d |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$2.759639621$ |
$1$ |
|
$7$ |
$1024$ |
$0.313121$ |
$8586756/4225$ |
$0.96662$ |
$3.24675$ |
$[0, 0, 0, -172, -336]$ |
\(y^2=x^3-172x-336\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.1, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(-11, 15)]$ |
| 4160.m3 |
4160d1 |
4160.m |
4160d |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$1.379819810$ |
$1$ |
|
$5$ |
$512$ |
$-0.033453$ |
$5256144/65$ |
$0.85145$ |
$3.02150$ |
$[0, 0, 0, -92, 336]$ |
\(y^2=x^3-92x+336\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.5, 104.24.0.?, $\ldots$ |
$[(5, 1)]$ |
| 4160.m4 |
4160d4 |
4160.m |
4160d |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{17} \cdot 5 \cdot 13^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$5.519279242$ |
$1$ |
|
$3$ |
$2048$ |
$0.659695$ |
$208974222/142805$ |
$0.95226$ |
$3.71297$ |
$[0, 0, 0, 628, -2576]$ |
\(y^2=x^3+628x-2576\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.s.1.3, 104.24.0.?, 520.48.0.? |
$[(61/3, 1205/3)]$ |
| 4160.n1 |
4160e2 |
4160.n |
4160e |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$1.661799883$ |
$1$ |
|
$3$ |
$1024$ |
$0.418184$ |
$140283769536/325$ |
$1.22475$ |
$4.07819$ |
$[0, 0, 0, -1732, 27744]$ |
\(y^2=x^3-1732x+27744\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(8, 120)]$ |
| 4160.n2 |
4160e1 |
4160.n |
4160e |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$0.830899941$ |
$1$ |
|
$3$ |
$512$ |
$0.071611$ |
$-2116874304/105625$ |
$0.98956$ |
$3.08580$ |
$[0, 0, 0, -107, 444]$ |
\(y^2=x^3-107x+444\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 520.48.0.? |
$[(8, 10)]$ |
| 4160.o1 |
4160b3 |
4160.o |
4160b |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{30} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.22, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$9.867214746$ |
$1$ |
|
$1$ |
$13824$ |
$1.270170$ |
$988345570681/44994560$ |
$0.95432$ |
$4.81155$ |
$[0, -1, 0, -13281, -561055]$ |
\(y^2=x^3-x^2-13281x-561055\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$ |
$[(-20656/17, 658329/17)]$ |
| 4160.o2 |
4160b1 |
4160.o |
4160b |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.22, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$3.289071582$ |
$1$ |
|
$3$ |
$4608$ |
$0.720864$ |
$3803721481/26000$ |
$0.90619$ |
$4.14434$ |
$[0, -1, 0, -2081, 37025]$ |
\(y^2=x^3-x^2-2081x+37025\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 8.12.0-4.b.1.2, $\ldots$ |
$[(16, 87)]$ |
| 4160.o3 |
4160b2 |
4160.o |
4160b |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.37, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1.644535791$ |
$1$ |
|
$3$ |
$9216$ |
$1.067438$ |
$-217081801/10562500$ |
$0.97746$ |
$4.33395$ |
$[0, -1, 0, -801, 80801]$ |
\(y^2=x^3-x^2-801x+80801\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 8.12.0-4.a.1.1, $\ldots$ |
$[(185, 2496)]$ |
| 4160.o4 |
4160b4 |
4160.o |
4160b |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{24} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.37, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$4.933607373$ |
$1$ |
|
$1$ |
$27648$ |
$1.616743$ |
$157376536199/7722894400$ |
$1.01877$ |
$5.12247$ |
$[0, -1, 0, 7199, -2154399]$ |
\(y^2=x^3-x^2+7199x-2154399\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 8.12.0-4.a.1.1, $\ldots$ |
$[(6289/3, 500480/3)]$ |
| 4160.p1 |
4160m1 |
4160.p |
4160m |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$-0.047762$ |
$3631696/65$ |
$0.75998$ |
$2.97714$ |
$[0, -1, 0, -81, 305]$ |
\(y^2=x^3-x^2-81x+305\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 4160.p2 |
4160m2 |
4160.p |
4160m |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.298811$ |
$-4/4225$ |
$1.09431$ |
$3.22729$ |
$[0, -1, 0, -1, 801]$ |
\(y^2=x^3-x^2-x+801\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 260.12.0.?, 520.48.0.? |
$[]$ |
| 4160.q1 |
4160g1 |
4160.q |
4160g |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$2.490098341$ |
$1$ |
|
$3$ |
$1024$ |
$0.078106$ |
$117649/65$ |
$0.95681$ |
$2.89828$ |
$[0, -1, 0, -65, 65]$ |
\(y^2=x^3-x^2-65x+65\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(-8, 3)]$ |
| 4160.q2 |
4160g2 |
4160.q |
4160g |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( - 2^{18} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1.245049170$ |
$1$ |
|
$5$ |
$2048$ |
$0.424679$ |
$6967871/4225$ |
$0.89914$ |
$3.38804$ |
$[0, -1, 0, 255, 257]$ |
\(y^2=x^3-x^2+255x+257\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 260.24.0.?, 520.48.0.? |
$[(17, 96)]$ |
