| 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 |
| 63580.a1 |
63580m1 |
63580.a |
63580m |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13880160$ |
$3.246807$ |
$-219633107337216/304487046875$ |
$1.22786$ |
$5.64702$ |
$[0, 0, 0, -15249952, -42238574204]$ |
\(y^2=x^3-15249952x-42238574204\) |
22.2.0.a.1 |
$[]$ |
| 63580.b1 |
63580a2 |
63580.b |
63580a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$118272$ |
$1.217533$ |
$94875856/275$ |
$0.82986$ |
$3.69913$ |
$[0, 1, 0, -17436, 878164]$ |
\(y^2=x^3+x^2-17436x+878164\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[]$ |
| 63580.b2 |
63580a1 |
63580.b |
63580a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$59136$ |
$0.870959$ |
$1048576/605$ |
$1.25294$ |
$3.04111$ |
$[0, 1, 0, -1541, 760]$ |
\(y^2=x^3+x^2-1541x+760\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[]$ |
| 63580.c1 |
63580o1 |
63580.c |
63580o |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$414720$ |
$1.823761$ |
$594160697344/21156245$ |
$0.88690$ |
$4.23888$ |
$[0, 1, 0, -127545, -17027120]$ |
\(y^2=x^3+x^2-127545x-17027120\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 340.24.0.?, $\ldots$ |
$[]$ |
| 63580.c2 |
63580o2 |
63580.c |
63580o |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$2.170334$ |
$1893932336/252651025$ |
$0.89525$ |
$4.46131$ |
$[0, 1, 0, 47300, -59969052]$ |
\(y^2=x^3+x^2+47300x-59969052\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 440.24.0.?, 680.24.0.?, $\ldots$ |
$[]$ |
| 63580.d1 |
63580k1 |
63580.d |
63580k |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{5} \cdot 11^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$7.168442709$ |
$1$ |
|
$3$ |
$8570880$ |
$3.304935$ |
$179551401487197159424/193592864403125$ |
$1.00703$ |
$6.00439$ |
$[0, 1, 0, -85590625, -304525139352]$ |
\(y^2=x^3+x^2-85590625x-304525139352\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0-20.e.1.8, $\ldots$ |
$[(-5257, 13027)]$ |
| 63580.d2 |
63580k2 |
63580.d |
63580k |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{10} \cdot 11^{4} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$3.584221354$ |
$1$ |
|
$3$ |
$17141760$ |
$3.651508$ |
$-4787879231470062544/11941708603515625$ |
$0.97463$ |
$6.07833$ |
$[0, 1, 0, -64434380, -458762627900]$ |
\(y^2=x^3+x^2-64434380x-458762627900\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0-20.d.1.4, 136.12.0.?, $\ldots$ |
$[(11248, 489566)]$ |
| 63580.e1 |
63580c1 |
63580.e |
63580c |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.131523080$ |
$1$ |
|
$2$ |
$14688$ |
$0.179438$ |
$-8912896/275$ |
$0.81590$ |
$2.46532$ |
$[0, -1, 0, -181, 1025]$ |
\(y^2=x^3-x^2-181x+1025\) |
22.2.0.a.1 |
$[(8, 5)]$ |
| 63580.f1 |
63580h1 |
63580.f |
63580h |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.139525528$ |
$1$ |
|
$10$ |
$43200$ |
$0.686936$ |
$81807536/378125$ |
$0.81388$ |
$2.83683$ |
$[0, -1, 0, 380, 7400]$ |
\(y^2=x^3-x^2+380x+7400\) |
20.2.0.a.1 |
$[(10, 110)]$ |
| 63580.g1 |
63580n1 |
63580.g |
63580n |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1498176$ |
$2.557915$ |
$-126100646224/605$ |
$0.88554$ |
$5.37408$ |
$[0, -1, 0, -8379940, 9339878120]$ |
\(y^2=x^3-x^2-8379940x+9339878120\) |
3.4.0.a.1, 20.2.0.a.1, 51.8.0-3.a.1.2, 60.8.0.a.1, 1020.16.0.? |
$[]$ |
| 63580.g2 |
63580n2 |
63580.g |
63580n |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11^{6} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4494528$ |
$3.107220$ |
$-27419122384/221445125$ |
$0.92844$ |
$5.48071$ |
$[0, -1, 0, -5039100, 16839395752]$ |
\(y^2=x^3-x^2-5039100x+16839395752\) |
3.4.0.a.1, 20.2.0.a.1, 51.8.0-3.a.1.1, 60.8.0.a.1, 1020.16.0.? |
$[]$ |
| 63580.h1 |
63580i2 |
63580.h |
63580i |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$4.391079939$ |
$1$ |
|
$0$ |
$93312$ |
$1.030565$ |
$-5050365927424/171875$ |
$0.93000$ |
$3.65840$ |
$[0, -1, 0, -15005, -702503]$ |
\(y^2=x^3-x^2-15005x-702503\) |
3.4.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.1, 66.8.0.a.1, 1122.16.0.? |
$[(621/2, 6625/2)]$ |
| 63580.h2 |
63580i1 |
63580.h |
63580i |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$1.463693313$ |
$1$ |
|
$4$ |
$31104$ |
$0.481260$ |
$-139264/33275$ |
$0.88527$ |
$2.62940$ |
$[0, -1, 0, -45, -2375]$ |
\(y^2=x^3-x^2-45x-2375\) |
3.4.0.a.1, 22.2.0.a.1, 51.8.0-3.a.1.2, 66.8.0.a.1, 1122.16.0.? |
$[(15, 10)]$ |
| 63580.i1 |
63580g2 |
63580.i |
63580g |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$66$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1586304$ |
$2.447174$ |
$-5050365927424/171875$ |
$0.93000$ |
$5.19540$ |
$[0, 1, 0, -4336541, -3477416305]$ |
\(y^2=x^3+x^2-4336541x-3477416305\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[]$ |
| 63580.i2 |
63580g1 |
63580.i |
63580g |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$528768$ |
$1.897867$ |
$-139264/33275$ |
$0.88527$ |
$4.16640$ |
$[0, 1, 0, -13101, -11746801]$ |
\(y^2=x^3+x^2-13101x-11746801\) |
3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4 |
$[]$ |
| 63580.j1 |
63580b1 |
63580.j |
63580b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$60$ |
$16$ |
$0$ |
$2.422298276$ |
$1$ |
|
$4$ |
$88128$ |
$1.141308$ |
$-126100646224/605$ |
$0.88554$ |
$3.83709$ |
$[0, 1, 0, -28996, 1890820]$ |
\(y^2=x^3+x^2-28996x+1890820\) |
3.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.8 |
$[(36, 946)]$ |
| 63580.j2 |
63580b2 |
63580.j |
63580b |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$60$ |
$16$ |
$0$ |
$7.266894828$ |
$1$ |
|
$0$ |
$264384$ |
$1.690615$ |
$-27419122384/221445125$ |
$0.92844$ |
$3.94371$ |
$[0, 1, 0, -17436, 3421364]$ |
\(y^2=x^3+x^2-17436x+3421364\) |
3.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.5 |
$[(17059/15, 5379902/15)]$ |
| 63580.k1 |
63580f1 |
63580.k |
63580f |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{5} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$734400$ |
$2.103542$ |
$81807536/378125$ |
$0.81388$ |
$4.37383$ |
$[0, 1, 0, 109724, 37014724]$ |
\(y^2=x^3+x^2+109724x+37014724\) |
20.2.0.a.1 |
$[]$ |
| 63580.l1 |
63580l1 |
63580.l |
63580l |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$249696$ |
$1.596045$ |
$-8912896/275$ |
$0.81590$ |
$4.00232$ |
$[0, 1, 0, -52405, 4721575]$ |
\(y^2=x^3+x^2-52405x+4721575\) |
22.2.0.a.1 |
$[]$ |
| 63580.m1 |
63580d4 |
63580.m |
63580d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$25.97635388$ |
$1$ |
|
$1$ |
$1119744$ |
$2.131058$ |
$154639330142416/33275$ |
$0.97344$ |
$4.99243$ |
$[0, -1, 0, -2051996, -1130707480]$ |
\(y^2=x^3-x^2-2051996x-1130707480\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(-4158196816571/70914, 4218383737107323/70914)]$ |
| 63580.m2 |
63580d3 |
63580.m |
63580d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$12.98817694$ |
$1$ |
|
$1$ |
$559872$ |
$1.784483$ |
$610462990336/8857805$ |
$1.02612$ |
$4.24133$ |
$[0, -1, 0, -128701, -17504334]$ |
\(y^2=x^3-x^2-128701x-17504334\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(-627318/53, 33234582/53)]$ |
| 63580.m3 |
63580d2 |
63580.m |
63580d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$8.658784628$ |
$1$ |
|
$1$ |
$373248$ |
$1.581751$ |
$436334416/171875$ |
$0.87819$ |
$3.83709$ |
$[0, -1, 0, -28996, -1064280]$ |
\(y^2=x^3-x^2-28996x-1064280\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(-1811/6, 111097/6)]$ |
| 63580.m4 |
63580d1 |
63580.m |
63580d |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$4.329392314$ |
$1$ |
|
$3$ |
$186624$ |
$1.235178$ |
$643956736/15125$ |
$0.96705$ |
$3.62159$ |
$[0, -1, 0, -13101, 569726]$ |
\(y^2=x^3-x^2-13101x+569726\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(38, 354)]$ |
| 63580.n1 |
63580j1 |
63580.n |
63580j |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 11^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$0.974510546$ |
$1$ |
|
$2$ |
$456192$ |
$1.731695$ |
$-7710244864/565675$ |
$0.93907$ |
$4.10754$ |
$[0, -1, 0, -75525, 8505377]$ |
\(y^2=x^3-x^2-75525x+8505377\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 66.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.? |
$[(227, 1734)]$ |
| 63580.n2 |
63580j2 |
63580.n |
63580j |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$2.923531639$ |
$1$ |
|
$0$ |
$1368576$ |
$2.281002$ |
$1454115454976/844421875$ |
$1.02088$ |
$4.57049$ |
$[0, -1, 0, 433115, 6318225]$ |
\(y^2=x^3-x^2+433115x+6318225\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 66.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.? |
$[(-27/2, 14739/2)]$ |
| 63580.o1 |
63580e1 |
63580.o |
63580e |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.538191026$ |
$1$ |
|
$0$ |
$816480$ |
$1.830200$ |
$-219633107337216/304487046875$ |
$1.22786$ |
$4.11002$ |
$[0, 0, 0, -52768, -8597308]$ |
\(y^2=x^3-52768x-8597308\) |
22.2.0.a.1 |
$[(2644/3, 30250/3)]$ |
