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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
3234.a1 |
3234e1 |
3234.a |
3234e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{2} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8400$ |
$1.018806$ |
$-260607143968297/11270993184$ |
$[1, 1, 0, -4869, -137619]$ |
\(y^2+xy=x^3+x^2-4869x-137619\) |
264.2.0.? |
$[]$ |
3234.o1 |
3234h1 |
3234.o |
3234h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58800$ |
$1.991762$ |
$-260607143968297/11270993184$ |
$[1, 0, 1, -238607, 46487522]$ |
\(y^2+xy+y=x^3-238607x+46487522\) |
264.2.0.? |
$[]$ |
9702.be1 |
9702bq1 |
9702.be |
9702bq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{13} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$470400$ |
$2.541069$ |
$-260607143968297/11270993184$ |
$[1, -1, 1, -2147459, -1255163101]$ |
\(y^2+xy+y=x^3-x^2-2147459x-1255163101\) |
264.2.0.? |
$[]$ |
9702.ce1 |
9702cd1 |
9702.ce |
9702cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{13} \cdot 7^{2} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$0.144280125$ |
$1$ |
|
$6$ |
$67200$ |
$1.568113$ |
$-260607143968297/11270993184$ |
$[1, -1, 1, -43826, 3671889]$ |
\(y^2+xy+y=x^3-x^2-43826x+3671889\) |
264.2.0.? |
$[(-109, 2727)]$ |
25872.bk1 |
25872be1 |
25872.bk |
25872be |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{8} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1.797738099$ |
$1$ |
|
$2$ |
$1411200$ |
$2.684910$ |
$-260607143968297/11270993184$ |
$[0, -1, 0, -3817704, -2975201424]$ |
\(y^2=x^3-x^2-3817704x-2975201424\) |
264.2.0.? |
$[(4100, 224224)]$ |
25872.bo1 |
25872db1 |
25872.bo |
25872db |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{2} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$0.078627938$ |
$1$ |
|
$12$ |
$201600$ |
$1.711954$ |
$-260607143968297/11270993184$ |
$[0, 1, 0, -77912, 8651796]$ |
\(y^2=x^3+x^2-77912x+8651796\) |
264.2.0.? |
$[(118, 1056)]$ |
35574.bo1 |
35574cg1 |
35574.bo |
35574cg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{2} \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1008000$ |
$2.217754$ |
$-260607143968297/11270993184$ |
$[1, 1, 1, -589212, 180224925]$ |
\(y^2+xy+y=x^3+x^2-589212x+180224925\) |
264.2.0.? |
$[]$ |
35574.df1 |
35574cn1 |
35574.df |
35574cn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{8} \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7056000$ |
$3.190708$ |
$-260607143968297/11270993184$ |
$[1, 0, 0, -28871389, -61903763503]$ |
\(y^2+xy=x^3-28871389x-61903763503\) |
264.2.0.? |
$[]$ |
77616.v1 |
77616em1 |
77616.v |
77616em |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{13} \cdot 7^{8} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$2.302502834$ |
$1$ |
|
$2$ |
$11289600$ |
$3.234215$ |
$-260607143968297/11270993184$ |
$[0, 0, 0, -34359339, 80364797786]$ |
\(y^2=x^3-34359339x+80364797786\) |
264.2.0.? |
$[(343, 261954)]$ |
77616.gb1 |
77616fn1 |
77616.gb |
77616fn |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{13} \cdot 7^{2} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1612800$ |
$2.261261$ |
$-260607143968297/11270993184$ |
$[0, 0, 0, -701211, -234299702]$ |
\(y^2=x^3-701211x-234299702\) |
264.2.0.? |
$[]$ |
80850.dm1 |
80850dr1 |
80850.dm |
80850dr |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6350400$ |
$2.796482$ |
$-260607143968297/11270993184$ |
$[1, 1, 1, -5965163, 5810940281]$ |
\(y^2+xy+y=x^3+x^2-5965163x+5810940281\) |
264.2.0.? |
$[]$ |
80850.gm1 |
80850gf1 |
80850.gm |
80850gf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$907200$ |
$1.823524$ |
$-260607143968297/11270993184$ |
$[1, 0, 0, -121738, -16958908]$ |
\(y^2+xy=x^3-121738x-16958908\) |
264.2.0.? |
$[]$ |
103488.m1 |
103488j1 |
103488.m |
103488j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{7} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11289600$ |
$3.031483$ |
$-260607143968297/11270993184$ |
$[0, -1, 0, -15270817, 23816882209]$ |
\(y^2=x^3-x^2-15270817x+23816882209\) |
264.2.0.? |
$[]$ |
103488.ee1 |
103488fq1 |
103488.ee |
103488fq |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{7} \cdot 7^{2} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$6.325753245$ |
$1$ |
|
$0$ |
$1612800$ |
$2.058529$ |
$-260607143968297/11270993184$ |
$[0, -1, 0, -311649, 69526017]$ |
\(y^2=x^3-x^2-311649x+69526017\) |
264.2.0.? |
$[(3941/5, 616064/5)]$ |
103488.eu1 |
103488gz1 |
103488.eu |
103488gz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{7} \cdot 7^{8} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1.476987392$ |
$1$ |
|
$4$ |
$11289600$ |
$3.031483$ |
$-260607143968297/11270993184$ |
$[0, 1, 0, -15270817, -23816882209]$ |
\(y^2=x^3+x^2-15270817x-23816882209\) |
264.2.0.? |
$[(5063, 169344)]$ |
103488.is1 |
103488ei1 |
103488.is |
103488ei |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{7} \cdot 7^{2} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1612800$ |
$2.058529$ |
$-260607143968297/11270993184$ |
$[0, 1, 0, -311649, -69526017]$ |
\(y^2=x^3+x^2-311649x-69526017\) |
264.2.0.? |
$[]$ |
106722.j1 |
106722bx1 |
106722.j |
106722bx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{13} \cdot 7^{8} \cdot 11^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1.191215665$ |
$1$ |
|
$4$ |
$56448000$ |
$3.740017$ |
$-260607143968297/11270993184$ |
$[1, -1, 0, -259842501, 1671401614581]$ |
\(y^2+xy=x^3-x^2-259842501x+1671401614581\) |
264.2.0.? |
$[(7681, 354864)]$ |
106722.dq1 |
106722dp1 |
106722.dq |
106722dp |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{13} \cdot 7^{2} \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8064000$ |
$2.767059$ |
$-260607143968297/11270993184$ |
$[1, -1, 0, -5302908, -4871375888]$ |
\(y^2+xy=x^3-x^2-5302908x-4871375888\) |
264.2.0.? |
$[]$ |
242550.dw1 |
242550dw1 |
242550.dw |
242550dw |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{13} \cdot 5^{6} \cdot 7^{8} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$3.306793201$ |
$1$ |
|
$0$ |
$50803200$ |
$3.345787$ |
$-260607143968297/11270993184$ |
$[1, -1, 0, -53686467, -156949074059]$ |
\(y^2+xy=x^3-x^2-53686467x-156949074059\) |
264.2.0.? |
$[(34007/2, 227947/2)]$ |
242550.hq1 |
242550hq1 |
242550.hq |
242550hq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{13} \cdot 5^{6} \cdot 7^{2} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7257600$ |
$2.372833$ |
$-260607143968297/11270993184$ |
$[1, -1, 0, -1095642, 457890516]$ |
\(y^2+xy=x^3-x^2-1095642x+457890516\) |
264.2.0.? |
$[]$ |
284592.ex1 |
284592ex1 |
284592.ex |
284592ex |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{8} \cdot 11^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$19.49827179$ |
$1$ |
|
$0$ |
$169344000$ |
$3.883858$ |
$-260607143968297/11270993184$ |
$[0, -1, 0, -461942224, 3961840864192]$ |
\(y^2=x^3-x^2-461942224x+3961840864192\) |
264.2.0.? |
$[(-24040077014/2307, 29965938039390914/2307)]$ |
284592.go1 |
284592go1 |
284592.go |
284592go |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 7^{2} \cdot 11^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$2.830360082$ |
$1$ |
|
$2$ |
$24192000$ |
$2.910900$ |
$-260607143968297/11270993184$ |
$[0, 1, 0, -9427392, -11553249996]$ |
\(y^2=x^3+x^2-9427392x-11553249996\) |
264.2.0.? |
$[(47340, 10277982)]$ |
310464.bo1 |
310464bo1 |
310464.bo |
310464bo |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{13} \cdot 7^{2} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$3.988590927$ |
$1$ |
|
$2$ |
$12902400$ |
$2.607834$ |
$-260607143968297/11270993184$ |
$[0, 0, 0, -2804844, 1874397616]$ |
\(y^2=x^3-2804844x+1874397616\) |
264.2.0.? |
$[(774, 12928)]$ |
310464.cd1 |
310464cd1 |
310464.cd |
310464cd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{13} \cdot 7^{2} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$2.289141114$ |
$1$ |
|
$2$ |
$12902400$ |
$2.607834$ |
$-260607143968297/11270993184$ |
$[0, 0, 0, -2804844, -1874397616]$ |
\(y^2=x^3-2804844x-1874397616\) |
264.2.0.? |
$[(6220, 470448)]$ |
310464.pv1 |
310464pv1 |
310464.pv |
310464pv |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{13} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$90316800$ |
$3.580788$ |
$-260607143968297/11270993184$ |
$[0, 0, 0, -137437356, -642918382288]$ |
\(y^2=x^3-137437356x-642918382288\) |
264.2.0.? |
$[]$ |
310464.qr1 |
310464qr1 |
310464.qr |
310464qr |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{13} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$90316800$ |
$3.580788$ |
$-260607143968297/11270993184$ |
$[0, 0, 0, -137437356, 642918382288]$ |
\(y^2=x^3-137437356x+642918382288\) |
264.2.0.? |
$[]$ |