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 |
1785.h2 |
1785l1 |
1785.h |
1785l |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$528$ |
$0.262594$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.60536$ |
$[0, 1, 1, -141, -889]$ |
\(y^2+y=x^3+x^2-141x-889\) |
3.8.0-3.a.1.2, 1190.2.0.?, 3570.16.0.? |
$[]$ |
5355.m2 |
5355o1 |
5355.m |
5355o |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 3^{12} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224$ |
$0.811900$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.91177$ |
$[0, 0, 1, -1272, 22725]$ |
\(y^2+y=x^3-1272x+22725\) |
3.8.0-3.a.1.1, 1190.2.0.?, 3570.16.0.? |
$[]$ |
8925.l2 |
8925a1 |
8925.l |
8925a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{6} \cdot 5^{7} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1.978735995$ |
$1$ |
|
$2$ |
$12672$ |
$1.067312$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.02903$ |
$[0, -1, 1, -3533, -104032]$ |
\(y^2+y=x^3-x^2-3533x-104032\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 714.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(152, 1687)]$ |
12495.f2 |
12495d1 |
12495.f |
12495d |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{6} \cdot 5 \cdot 7^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1.112737238$ |
$1$ |
|
$4$ |
$25344$ |
$1.235548$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.09934$ |
$[0, -1, 1, -6925, 291003]$ |
\(y^2+y=x^3-x^2-6925x+291003\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 510.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(-23, 661)]$ |
26775.x2 |
26775bd1 |
26775.x |
26775bd |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{12} \cdot 5^{7} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$0.448528810$ |
$1$ |
|
$4$ |
$101376$ |
$1.616619$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.24142$ |
$[0, 0, 1, -31800, 2840656]$ |
\(y^2+y=x^3-31800x+2840656\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 714.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(190, 1912)]$ |
28560.n2 |
28560cm1 |
28560.n |
28560cm |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$0.831232485$ |
$1$ |
|
$2$ |
$38016$ |
$0.955741$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.44177$ |
$[0, -1, 0, -2261, 54621]$ |
\(y^2=x^3-x^2-2261x+54621\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 1190.2.0.?, 3570.8.0.?, 7140.16.0.? |
$[(68, 459)]$ |
30345.o2 |
30345i1 |
30345.o |
30345i |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$152064$ |
$1.679201$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.26275$ |
$[0, -1, 1, -40845, -4121539]$ |
\(y^2+y=x^3-x^2-40845x-4121539\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 210.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[]$ |
37485.x2 |
37485bb1 |
37485.x |
37485bb |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 3^{12} \cdot 5 \cdot 7^{7} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$202752$ |
$1.784855$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.29761$ |
$[0, 0, 1, -62328, -7794761]$ |
\(y^2+y=x^3-62328x-7794761\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 510.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[]$ |
62475.br2 |
62475ca1 |
62475.br |
62475ca |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{7} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$0.115857445$ |
$1$ |
|
$26$ |
$608256$ |
$2.040268$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.37636$ |
$[0, 1, 1, -173133, 36029144]$ |
\(y^2+y=x^3+x^2-173133x+36029144\) |
3.4.0.a.1, 102.8.0.?, 105.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(1038, 31237), (18, 5737)]$ |
85680.de2 |
85680fb1 |
85680.de |
85680fb |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$304128$ |
$1.505047$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.68921$ |
$[0, 0, 0, -20352, -1454416]$ |
\(y^2=x^3-20352x-1454416\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 1190.2.0.?, 3570.8.0.?, 7140.16.0.? |
$[]$ |
91035.z2 |
91035f1 |
91035.z |
91035f |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{12} \cdot 5 \cdot 7 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1216512$ |
$2.228508$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.42989$ |
$[0, 0, 1, -367608, 111649153]$ |
\(y^2+y=x^3-367608x+111649153\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 210.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[]$ |
114240.fn2 |
114240cp1 |
114240.fn |
114240cp |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$76032$ |
$0.609167$ |
$-312217698304/125355195$ |
$0.96890$ |
$2.67497$ |
$[0, -1, 0, -565, -6545]$ |
\(y^2=x^3-x^2-565x-6545\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 1190.2.0.?, 3570.8.0.?, 14280.16.0.? |
$[]$ |
114240.io2 |
114240km1 |
114240.io |
114240km |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$0.361686882$ |
$1$ |
|
$4$ |
$76032$ |
$0.609167$ |
$-312217698304/125355195$ |
$0.96890$ |
$2.67497$ |
$[0, 1, 0, -565, 6545]$ |
\(y^2=x^3+x^2-565x+6545\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 1190.2.0.?, 3570.8.0.?, 14280.16.0.? |
$[(8, 51)]$ |
142800.jn2 |
142800cc1 |
142800.jn |
142800cc |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{7} \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$912384$ |
$1.760460$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.78866$ |
$[0, 1, 0, -56533, 6714563]$ |
\(y^2=x^3+x^2-56533x+6714563\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 1190.2.0.?, 1428.8.0.?, 3570.8.0.?, $\ldots$ |
$[]$ |
151725.cf2 |
151725bq1 |
151725.cf |
151725bq |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$2.585555305$ |
$1$ |
|
$2$ |
$3649536$ |
$2.483921$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.49712$ |
$[0, 1, 1, -1021133, -517234606]$ |
\(y^2+y=x^3+x^2-1021133x-517234606\) |
3.4.0.a.1, 42.8.0-3.a.1.2, 255.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(3598, 205912)]$ |
187425.df2 |
187425de1 |
187425.df |
187425de |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 3^{12} \cdot 5^{7} \cdot 7^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$5.924883103$ |
$1$ |
|
$2$ |
$4866048$ |
$2.589573$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.52328$ |
$[0, 0, 1, -1558200, -974345094]$ |
\(y^2+y=x^3-1558200x-974345094\) |
3.4.0.a.1, 102.8.0.?, 105.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(12026, 1311313)]$ |
199920.ib2 |
199920bb1 |
199920.ib |
199920bb |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$4.015291453$ |
$1$ |
|
$2$ |
$1824768$ |
$1.928696$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.84962$ |
$[0, 1, 0, -110805, -18513405]$ |
\(y^2=x^3+x^2-110805x-18513405\) |
3.4.0.a.1, 84.8.0.?, 1020.8.0.?, 1190.2.0.?, 3570.8.0.?, $\ldots$ |
$[(1374, 49245)]$ |
212415.bq2 |
212415bj1 |
212415.bq |
212415bj |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{7} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1.087688216$ |
$1$ |
|
$4$ |
$7299072$ |
$2.652157$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.53834$ |
$[0, 1, 1, -2001421, 1417690621]$ |
\(y^2+y=x^3+x^2-2001421x+1417690621\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 357.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(1031, 21241)]$ |
215985.bg2 |
215985be1 |
215985.bg |
215985be |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 11^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$39270$ |
$16$ |
$0$ |
$0.967579903$ |
$1$ |
|
$4$ |
$570240$ |
$1.461542$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.36900$ |
$[0, 1, 1, -17101, 1114570]$ |
\(y^2+y=x^3+x^2-17101x+1114570\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 1190.2.0.?, 3570.8.0.?, 39270.16.0.? |
$[(62, 544)]$ |
301665.bi2 |
301665bi1 |
301665.bi |
301665bi |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17 \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$46410$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1235520$ |
$1.545069$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.35923$ |
$[0, 1, 1, -23885, -1857124]$ |
\(y^2+y=x^3+x^2-23885x-1857124\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 1190.2.0.?, 3570.8.0.?, 46410.16.0.? |
$[]$ |
342720.dv2 |
342720dv1 |
342720.dv |
342720dv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$14.46327258$ |
$1$ |
|
$0$ |
$608256$ |
$1.158474$ |
$-312217698304/125355195$ |
$0.96890$ |
$2.96159$ |
$[0, 0, 0, -5088, -181802]$ |
\(y^2=x^3-5088x-181802\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 1190.2.0.?, 3570.8.0.?, 14280.16.0.? |
$[(5726483/13, 13703484105/13)]$ |
342720.ea2 |
342720ea1 |
342720.ea |
342720ea |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$3.566354426$ |
$1$ |
|
$2$ |
$608256$ |
$1.158474$ |
$-312217698304/125355195$ |
$0.96890$ |
$2.96159$ |
$[0, 0, 0, -5088, 181802]$ |
\(y^2=x^3-5088x+181802\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 1190.2.0.?, 3570.8.0.?, 14280.16.0.? |
$[(-41, 567)]$ |
428400.hr2 |
428400hr1 |
428400.hr |
428400hr |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{7} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$3.160984293$ |
$1$ |
|
$2$ |
$7299072$ |
$2.309765$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.97600$ |
$[0, 0, 0, -508800, -181802000]$ |
\(y^2=x^3-508800x-181802000\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 1190.2.0.?, 1428.8.0.?, 3570.8.0.?, $\ldots$ |
$[(3065, 164475)]$ |
455175.cy2 |
455175cy1 |
455175.cy |
455175cy |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{12} \cdot 5^{7} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$2.645383962$ |
$1$ |
|
$2$ |
$29196288$ |
$3.033226$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.62385$ |
$[0, 0, 1, -9190200, 13956144156]$ |
\(y^2+y=x^3-9190200x+13956144156\) |
3.4.0.a.1, 42.8.0-3.a.1.1, 255.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(29240, 4974412)]$ |
485520.hm2 |
485520hm1 |
485520.hm |
485520hm |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$2.008339255$ |
$1$ |
|
$0$ |
$10948608$ |
$2.372349$ |
$-312217698304/125355195$ |
$0.96890$ |
$3.99535$ |
$[0, 1, 0, -653525, 264432003]$ |
\(y^2=x^3+x^2-653525x+264432003\) |
3.4.0.a.1, 204.8.0.?, 420.8.0.?, 1190.2.0.?, 3570.8.0.?, $\ldots$ |
$[(-3203/2, 132651/2)]$ |