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 |
277440.a1 |
277440a1 |
277440.a |
277440a |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{2} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$2.084851546$ |
$1$ |
|
$2$ |
$262656$ |
$0.604300$ |
$46648/1125$ |
$0.86305$ |
$2.43507$ |
$[0, -1, 0, 159, -4959]$ |
\(y^2=x^3-x^2+159x-4959\) |
40.2.0.a.1 |
$[(15, 24)]$ |
277440.b1 |
277440b2 |
277440.b |
277440b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1.191837821$ |
$1$ |
|
$21$ |
$360448$ |
$0.885752$ |
$2885794/225$ |
$0.85621$ |
$2.80519$ |
$[0, -1, 0, -2561, 47265]$ |
\(y^2=x^3-x^2-2561x+47265\) |
2.3.0.a.1, 120.6.0.?, 136.6.0.?, 1020.6.0.?, 2040.12.0.? |
$[(53, 240), (21, 48)]$ |
277440.b2 |
277440b1 |
277440.b |
277440b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3 \cdot 5 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$4.767351284$ |
$1$ |
|
$7$ |
$180224$ |
$0.539178$ |
$1372/15$ |
$0.78891$ |
$2.36955$ |
$[0, -1, 0, 159, 3201]$ |
\(y^2=x^3-x^2+159x+3201\) |
2.3.0.a.1, 120.6.0.?, 136.6.0.?, 510.6.0.?, 2040.12.0.? |
$[(5, 64), (133, 1536)]$ |
277440.c1 |
277440c2 |
277440.c |
277440c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$5.049815047$ |
$1$ |
|
$3$ |
$2949120$ |
$1.905130$ |
$1111934656/557685$ |
$0.90473$ |
$3.68189$ |
$[0, -1, 0, -99801, -4397895]$ |
\(y^2=x^3-x^2-99801x-4397895\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.1, 136.12.0.?, 170.6.0.?, $\ldots$ |
$[(-61, 1208)]$ |
277440.c2 |
277440c1 |
277440.c |
277440c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$2.524907523$ |
$1$ |
|
$3$ |
$1474560$ |
$1.558558$ |
$873722816/585225$ |
$0.90537$ |
$3.33083$ |
$[0, -1, 0, 23024, -541190]$ |
\(y^2=x^3-x^2+23024x-541190\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 68.12.0-4.a.1.1, 340.24.0.?, $\ldots$ |
$[(5803, 442170)]$ |
277440.d1 |
277440d1 |
277440.d |
277440d |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9400320$ |
$2.702850$ |
$2029825024/1125$ |
$0.96956$ |
$4.74473$ |
$[0, -1, 0, -8463461, 9475265661]$ |
\(y^2=x^3-x^2-8463461x+9475265661\) |
10.2.0.a.1 |
$[]$ |
277440.e1 |
277440e1 |
277440.e |
277440e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$2.332234173$ |
$1$ |
|
$2$ |
$483840$ |
$0.996856$ |
$100471803904/56953125$ |
$1.08007$ |
$2.80519$ |
$[0, -1, 0, -2561, -6285]$ |
\(y^2=x^3-x^2-2561x-6285\) |
10.2.0.a.1 |
$[(-10, 135)]$ |
277440.f1 |
277440f7 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{21} \cdot 3^{4} \cdot 5^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$21233664$ |
$3.020493$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.33256$ |
$[0, -1, 0, -98648801, 377158323585]$ |
\(y^2=x^3-x^2-98648801x+377158323585\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
277440.f2 |
277440f8 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{21} \cdot 3 \cdot 5^{12} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$21233664$ |
$3.020493$ |
$10316097499609/5859375000$ |
$1.13600$ |
$4.74260$ |
$[0, -1, 0, -8388321, 1275509121]$ |
\(y^2=x^3-x^2-8388321x+1275509121\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
277440.f3 |
277440f6 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$10616832$ |
$2.673920$ |
$4102915888729/9000000$ |
$1.05221$ |
$4.66903$ |
$[0, -1, 0, -6168801, 5888115585]$ |
\(y^2=x^3-x^2-6168801x+5888115585\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[]$ |
277440.f4 |
277440f5 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{19} \cdot 3^{3} \cdot 5^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7077888$ |
$2.471188$ |
$2656166199049/33750$ |
$1.05017$ |
$4.63434$ |
$[0, -1, 0, -5336481, -4743107775]$ |
\(y^2=x^3-x^2-5336481x-4743107775\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
277440.f5 |
277440f4 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{19} \cdot 3^{12} \cdot 5 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.471188$ |
$35578826569/5314410$ |
$1.03393$ |
$4.29023$ |
$[0, -1, 0, -1267361, 473430081]$ |
\(y^2=x^3-x^2-1267361x+473430081\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
277440.f6 |
277440f2 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{20} \cdot 3^{6} \cdot 5^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$3538944$ |
$2.124615$ |
$702595369/72900$ |
$1.00457$ |
$3.97708$ |
$[0, -1, 0, -342561, -69797439]$ |
\(y^2=x^3-x^2-342561x-69797439\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[]$ |
277440.f7 |
277440f3 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{30} \cdot 3 \cdot 5^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.327347$ |
$-273359449/1536000$ |
$1.04920$ |
$4.09095$ |
$[0, -1, 0, -250081, 157610881]$ |
\(y^2=x^3-x^2-250081x+157610881\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
277440.f8 |
277440f1 |
277440.f |
277440f |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{22} \cdot 3^{3} \cdot 5 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.778040$ |
$357911/2160$ |
$0.99689$ |
$3.55114$ |
$[0, -1, 0, 27359, -5357375]$ |
\(y^2=x^3-x^2+27359x-5357375\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
277440.g1 |
277440g4 |
277440.g |
277440g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{12} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$495452160$ |
$4.529541$ |
$1059623036730633329075378/154307373046875$ |
$1.05545$ |
$6.71031$ |
$[0, -1, 0, -31180067041, -2119149011469695]$ |
\(y^2=x^3-x^2-31180067041x-2119149011469695\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
277440.g2 |
277440g3 |
277440.g |
277440g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{17} \cdot 3^{28} \cdot 5^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$495452160$ |
$4.529541$ |
$1664865424893526702418/826424127435466125$ |
$1.06099$ |
$6.19521$ |
$[0, -1, 0, -3624818721, 31681049059521]$ |
\(y^2=x^3-x^2-3624818721x+31681049059521\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
277440.g3 |
277440g2 |
277440.g |
277440g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{14} \cdot 5^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$247726080$ |
$4.182968$ |
$521902963282042184836/6241849278890625$ |
$1.03337$ |
$6.04735$ |
$[0, -1, 0, -1954398721, -32909749248479]$ |
\(y^2=x^3-x^2-1954398721x-32909749248479\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 68.12.0-2.a.1.1, $\ldots$ |
$[]$ |
277440.g4 |
277440g1 |
277440.g |
277440g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$123863040$ |
$3.836395$ |
$-3579968623693264/1906997690433375$ |
$1.07223$ |
$5.53271$ |
$[0, -1, 0, -23393201, -1321974751215]$ |
\(y^2=x^3-x^2-23393201x-1321974751215\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[]$ |
277440.h1 |
277440h1 |
277440.h |
277440h |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$3.923606524$ |
$1$ |
|
$3$ |
$368640$ |
$0.937091$ |
$240945152/91125$ |
$1.09684$ |
$2.77110$ |
$[0, -1, 0, -2221, -22979]$ |
\(y^2=x^3-x^2-2221x-22979\) |
2.3.0.a.1, 60.6.0.d.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(-36, 95)]$ |
277440.h2 |
277440h2 |
277440.h |
277440h |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$7.847213049$ |
$1$ |
|
$1$ |
$737280$ |
$1.283665$ |
$462951088/421875$ |
$0.93513$ |
$3.04442$ |
$[0, -1, 0, 6959, -171695]$ |
\(y^2=x^3-x^2+6959x-171695\) |
2.3.0.a.1, 60.6.0.d.1, 102.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(936/5, 46759/5)]$ |
277440.i1 |
277440i1 |
277440.i |
277440i |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{13} \cdot 5 \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5750784$ |
$2.285538$ |
$-951468070144/135517455$ |
$0.93077$ |
$4.12755$ |
$[0, -1, 0, -596881, -197935415]$ |
\(y^2=x^3-x^2-596881x-197935415\) |
510.2.0.? |
$[]$ |
277440.j1 |
277440j1 |
277440.j |
277440j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{32} \cdot 3^{11} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$28.74085743$ |
$1$ |
|
$0$ |
$72382464$ |
$3.693089$ |
$4589352212399/72559411200$ |
$1.03977$ |
$5.39101$ |
$[0, -1, 0, 42336959, -543982104095]$ |
\(y^2=x^3-x^2+42336959x-543982104095\) |
6.2.0.a.1 |
$[(4126339510368/20771, 7686554546966195515/20771)]$ |
277440.k1 |
277440k1 |
277440.k |
277440k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{6} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.651811584$ |
$1$ |
|
$2$ |
$6469632$ |
$2.410900$ |
$-271395189079204/307546875$ |
$1.03119$ |
$4.44093$ |
$[0, -1, 0, -2377121, 1412841921]$ |
\(y^2=x^3-x^2-2377121x+1412841921\) |
6.2.0.a.1 |
$[(856, 2125)]$ |
277440.l1 |
277440l1 |
277440.l |
277440l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$25159680$ |
$2.921898$ |
$-1853341262928948120784/1483154296875$ |
$1.05503$ |
$5.13364$ |
$[0, -1, 0, -42971761, 108437754961]$ |
\(y^2=x^3-x^2-42971761x+108437754961\) |
6.2.0.a.1 |
$[]$ |
277440.m1 |
277440m1 |
277440.m |
277440m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 5^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$7.491124587$ |
$1$ |
|
$2$ |
$14100480$ |
$2.552208$ |
$-910904761/24300$ |
$0.91872$ |
$4.45350$ |
$[0, -1, 0, -2469601, -1527004799]$ |
\(y^2=x^3-x^2-2469601x-1527004799\) |
6.2.0.a.1 |
$[(3096, 143155)]$ |
277440.n1 |
277440n2 |
277440.n |
277440n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{27} \cdot 3^{14} \cdot 5^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$5.060152320$ |
$1$ |
|
$3$ |
$111476736$ |
$3.798927$ |
$10901014250685308569/1040774054400$ |
$1.02506$ |
$5.84929$ |
$[0, -1, 0, -854395361, 9611993675361]$ |
\(y^2=x^3-x^2-854395361x+9611993675361\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(21103, 989536)]$ |
277440.n2 |
277440n1 |
277440.n |
277440n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{36} \cdot 3^{7} \cdot 5 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$10.12030464$ |
$1$ |
|
$1$ |
$55738368$ |
$3.452354$ |
$-2113364608155289/828431400960$ |
$0.99736$ |
$5.20852$ |
$[0, -1, 0, -49449441, 173358806625]$ |
\(y^2=x^3-x^2-49449441x+173358806625\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(1164761/16, 844785437/16)]$ |
277440.o1 |
277440o2 |
277440.o |
277440o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{19} \cdot 3^{10} \cdot 5^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$2.125032832$ |
$1$ |
|
$7$ |
$8847360$ |
$2.664879$ |
$420021471169/50191650$ |
$0.94166$ |
$4.48718$ |
$[0, -1, 0, -2885761, 1681755265]$ |
\(y^2=x^3-x^2-2885761x+1681755265\) |
2.3.0.a.1, 60.6.0.c.1, 136.6.0.?, 2040.12.0.? |
$[(1281, 9248)]$ |
277440.o2 |
277440o1 |
277440.o |
277440o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 5 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$4.250065665$ |
$1$ |
|
$5$ |
$4423680$ |
$2.318306$ |
$302111711/1404540$ |
$0.92029$ |
$4.06539$ |
$[0, -1, 0, 258559, 134120961]$ |
\(y^2=x^3-x^2+258559x+134120961\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(-287, 6016)]$ |
277440.p1 |
277440p2 |
277440.p |
277440p |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{21} \cdot 3^{4} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$4.686667456$ |
$1$ |
|
$3$ |
$2359296$ |
$2.050671$ |
$451747330217/253125000$ |
$1.05420$ |
$3.81483$ |
$[0, -1, 0, -173921, -4917279]$ |
\(y^2=x^3-x^2-173921x-4917279\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[(703, 14824)]$ |
277440.p2 |
277440p1 |
277440.p |
277440p |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{24} \cdot 3^{2} \cdot 5^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$2.343333728$ |
$1$ |
|
$3$ |
$1179648$ |
$1.704098$ |
$190407092777/360000$ |
$0.98158$ |
$3.74590$ |
$[0, -1, 0, -130401, -18051615]$ |
\(y^2=x^3-x^2-130401x-18051615\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[(1833, 76800)]$ |
277440.q1 |
277440q2 |
277440.q |
277440q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{17} \cdot 3^{8} \cdot 5^{4} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$6.361726500$ |
$1$ |
|
$11$ |
$1572864$ |
$1.674526$ |
$19960071154/4100625$ |
$0.96800$ |
$3.51064$ |
$[0, -1, 0, -48801, 3348801]$ |
\(y^2=x^3-x^2-48801x+3348801\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[(75, 324), (23, 1496)]$ |
277440.q2 |
277440q1 |
277440.q |
277440q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1.590431625$ |
$1$ |
|
$15$ |
$786432$ |
$1.327953$ |
$33610279748/2025$ |
$0.95771$ |
$3.49691$ |
$[0, -1, 0, -46081, 3822625]$ |
\(y^2=x^3-x^2-46081x+3822625\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[(91, 612), (253, 2880)]$ |
277440.r1 |
277440r1 |
277440.r |
277440r |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.894361458$ |
$1$ |
|
$2$ |
$82944$ |
$0.132467$ |
$35651584/405$ |
$1.03043$ |
$2.17137$ |
$[0, -1, 0, -181, 991]$ |
\(y^2=x^3-x^2-181x+991\) |
10.2.0.a.1 |
$[(10, 9)]$ |
277440.s1 |
277440s1 |
277440.s |
277440s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{21} \cdot 5^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$2.327229$ |
$-4868914236046592/1307544150375$ |
$1.03727$ |
$4.14366$ |
$[0, -1, 0, -605041, 219383305]$ |
\(y^2=x^3-x^2-605041x+219383305\) |
510.2.0.? |
$[]$ |
277440.t1 |
277440t1 |
277440.t |
277440t |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$2.500456664$ |
$1$ |
|
$2$ |
$163840$ |
$0.558531$ |
$87808/1215$ |
$0.87077$ |
$2.38927$ |
$[0, -1, 0, 159, -3735]$ |
\(y^2=x^3-x^2+159x-3735\) |
510.2.0.? |
$[(40, 255)]$ |
277440.u1 |
277440u1 |
277440.u |
277440u |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 5^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$58.53550936$ |
$1$ |
|
$0$ |
$228114432$ |
$4.133293$ |
$-4599388919892033901504/996451875$ |
$1.14517$ |
$6.45188$ |
$[0, -1, 0, -10591949801, -419573769830199]$ |
\(y^2=x^3-x^2-10591949801x-419573769830199\) |
6.2.0.a.1 |
$[(254171869090328809337222671/12878750389, 4042816314079122833514972345587874272900/12878750389)]$ |
277440.v1 |
277440v1 |
277440.v |
277440v |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$248832$ |
$0.880501$ |
$-127157223424/16875$ |
$1.00596$ |
$3.04522$ |
$[0, -1, 0, -6981, -222219]$ |
\(y^2=x^3-x^2-6981x-222219\) |
3.4.0.a.1, 6.8.0.b.1, 408.16.0.? |
$[]$ |
277440.v2 |
277440v2 |
277440.v |
277440v |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{12} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$746496$ |
$1.429808$ |
$611926016/732421875$ |
$1.14791$ |
$3.22850$ |
$[0, -1, 0, 1179, -708555]$ |
\(y^2=x^3-x^2+1179x-708555\) |
3.4.0.a.1, 6.8.0.b.1, 408.16.0.? |
$[]$ |
277440.w1 |
277440w1 |
277440.w |
277440w |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5 \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$663552$ |
$1.332064$ |
$-1755904/2295$ |
$0.76623$ |
$3.15083$ |
$[0, -1, 0, -7321, -432815]$ |
\(y^2=x^3-x^2-7321x-432815\) |
3.4.0.a.1, 120.8.0.?, 408.8.0.?, 510.8.0.?, 2040.16.0.? |
$[]$ |
277440.w2 |
277440w2 |
277440.w |
277440w |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$1.881369$ |
$1068359936/1842375$ |
$0.88734$ |
$3.62259$ |
$[0, -1, 0, 62039, 8348161]$ |
\(y^2=x^3-x^2+62039x+8348161\) |
3.4.0.a.1, 120.8.0.?, 408.8.0.?, 510.8.0.?, 2040.16.0.? |
$[]$ |
277440.x1 |
277440x1 |
277440.x |
277440x |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 17^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$510$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15482880$ |
$2.899841$ |
$64347918907136/388153407375$ |
$1.00188$ |
$4.62520$ |
$[0, -1, 0, 2431839, -4481613639]$ |
\(y^2=x^3-x^2+2431839x-4481613639\) |
510.2.0.? |
$[]$ |
277440.y1 |
277440y1 |
277440.y |
277440y |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$1.022219$ |
$-13237696/1366875$ |
$1.04378$ |
$2.83823$ |
$[0, -1, 0, -521, 61545]$ |
\(y^2=x^3-x^2-521x+61545\) |
6.2.0.a.1 |
$[]$ |
277440.z1 |
277440z1 |
277440.z |
277440z |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{5} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$1.152040$ |
$203622820864/28125$ |
$1.05941$ |
$3.30398$ |
$[0, -1, 0, -20581, -1129475]$ |
\(y^2=x^3-x^2-20581x-1129475\) |
10.2.0.a.1 |
$[]$ |
277440.ba1 |
277440ba4 |
277440.ba |
277440ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{3} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2040$ |
$48$ |
$0$ |
$14.58110139$ |
$1$ |
|
$1$ |
$31850496$ |
$3.142021$ |
$40472803590982276/281883375$ |
$0.99750$ |
$5.29220$ |
$[0, -1, 0, -83343361, -292826797439]$ |
\(y^2=x^3-x^2-83343361x-292826797439\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(-19624680/61, 283385599/61)]$ |
277440.ba2 |
277440ba2 |
277440.ba |
277440ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2040$ |
$48$ |
$0$ |
$7.290550697$ |
$1$ |
|
$5$ |
$15925248$ |
$2.795448$ |
$41948679809104/3291890625$ |
$0.95346$ |
$4.63330$ |
$[0, -1, 0, -5313361, -4381099439]$ |
\(y^2=x^3-x^2-5313361x-4381099439\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 120.24.0.?, 204.12.0.?, $\ldots$ |
$[(-1080, 9821)]$ |
277440.ba3 |
277440ba1 |
277440.ba |
277440ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{3} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$3.645275348$ |
$1$ |
|
$5$ |
$7962624$ |
$2.448875$ |
$5951163357184/1129312125$ |
$0.97411$ |
$4.25627$ |
$[0, -1, 0, -1099741, 364279405]$ |
\(y^2=x^3-x^2-1099741x+364279405\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 170.6.0.?, $\ldots$ |
$[(76, 16767)]$ |
277440.ba4 |
277440ba3 |
277440.ba |
277440ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$14.58110139$ |
$1$ |
|
$1$ |
$31850496$ |
$3.142021$ |
$10400706415004/112060546875$ |
$1.00063$ |
$4.86154$ |
$[0, -1, 0, 5298719, -19707065375]$ |
\(y^2=x^3-x^2+5298719x-19707065375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 102.6.0.?, 120.24.0.?, $\ldots$ |
$[(2069496/7, 2981118251/7)]$ |
277440.bb1 |
277440bb3 |
277440.bb |
277440bb |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{19} \cdot 3^{4} \cdot 5^{4} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$2.949126134$ |
$1$ |
|
$13$ |
$7077888$ |
$2.531700$ |
$711882749089/1721250$ |
$1.00970$ |
$4.52928$ |
$[0, -1, 0, -3440641, 2452455841]$ |
\(y^2=x^3-x^2-3440641x+2452455841\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 68.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(-555, 64736), (661, 21600)]$ |