| 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 |
| 1430.a1 |
1430a1 |
1430.a |
1430a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{7} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.496493395$ |
$1$ |
|
$4$ |
$224$ |
$-0.144768$ |
$2053225511/1189760$ |
$0.93592$ |
$2.95133$ |
$[1, 1, 0, 27, 13]$ |
\(y^2+xy=x^3+x^2+27x+13\) |
440.2.0.? |
$[(1, 6)]$ |
| 7150.t1 |
7150t1 |
7150.t |
7150t |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{7} \cdot 5^{7} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.173391459$ |
$1$ |
|
$6$ |
$5376$ |
$0.659951$ |
$2053225511/1189760$ |
$0.93592$ |
$3.50420$ |
$[1, 0, 0, 662, 292]$ |
\(y^2+xy=x^3+662x+292\) |
440.2.0.? |
$[(72, 614)]$ |
| 11440.q1 |
11440h1 |
11440.q |
11440h |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{19} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.560950696$ |
$1$ |
|
$2$ |
$5376$ |
$0.548379$ |
$2053225511/1189760$ |
$0.93592$ |
$3.18468$ |
$[0, 1, 0, 424, 20]$ |
\(y^2=x^3+x^2+424x+20\) |
440.2.0.? |
$[(20, 130)]$ |
| 12870.bv1 |
12870cc1 |
12870.bv |
12870cc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.555973814$ |
$1$ |
|
$4$ |
$6720$ |
$0.404538$ |
$2053225511/1189760$ |
$0.93592$ |
$2.96263$ |
$[1, -1, 1, 238, -111]$ |
\(y^2+xy+y=x^3-x^2+238x-111\) |
440.2.0.? |
$[(9, 47)]$ |
| 15730.u1 |
15730s1 |
15730.u |
15730s |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.199302613$ |
$1$ |
|
$6$ |
$26880$ |
$1.054180$ |
$2053225511/1189760$ |
$0.93592$ |
$3.70784$ |
$[1, 1, 1, 3204, -1187]$ |
\(y^2+xy+y=x^3+x^2+3204x-1187\) |
440.2.0.? |
$[(127, 1509)]$ |
| 18590.l1 |
18590o1 |
18590.l |
18590o |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{7} \cdot 5 \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.087961600$ |
$1$ |
|
$4$ |
$37632$ |
$1.137707$ |
$2053225511/1189760$ |
$0.93592$ |
$3.74679$ |
$[1, 1, 1, 4475, 6027]$ |
\(y^2+xy+y=x^3+x^2+4475x+6027\) |
440.2.0.? |
$[(5, 166)]$ |
| 45760.t1 |
45760bt1 |
45760.t |
45760bt |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{25} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$0.894953$ |
$2053225511/1189760$ |
$0.93592$ |
$3.16082$ |
$[0, -1, 0, 1695, -1535]$ |
\(y^2=x^3-x^2+1695x-1535\) |
440.2.0.? |
$[ ]$ |
| 45760.bi1 |
45760n1 |
45760.bi |
45760n |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{25} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$0.894953$ |
$2053225511/1189760$ |
$0.93592$ |
$3.16082$ |
$[0, 1, 0, 1695, 1535]$ |
\(y^2=x^3+x^2+1695x+1535\) |
440.2.0.? |
$[ ]$ |
| 57200.r1 |
57200z1 |
57200.r |
57200z |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{19} \cdot 5^{7} \cdot 11 \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.680181431$ |
$1$ |
|
$14$ |
$129024$ |
$1.353098$ |
$2053225511/1189760$ |
$0.93592$ |
$3.59832$ |
$[0, -1, 0, 10592, -18688]$ |
\(y^2=x^3-x^2+10592x-18688\) |
440.2.0.? |
$[(112, 1600), (752, 20800)]$ |
| 64350.br1 |
64350y1 |
64350.br |
64350y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{7} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.209257$ |
$2053225511/1189760$ |
$0.93592$ |
$3.40414$ |
$[1, -1, 0, 5958, -7884]$ |
\(y^2+xy=x^3-x^2+5958x-7884\) |
440.2.0.? |
$[ ]$ |
| 70070.w1 |
70070u1 |
70070.w |
70070u |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{7} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84672$ |
$0.828187$ |
$2053225511/1189760$ |
$0.93592$ |
$2.96831$ |
$[1, 0, 1, 1297, -542]$ |
\(y^2+xy+y=x^3+1297x-542\) |
440.2.0.? |
$[ ]$ |
| 78650.z1 |
78650m1 |
78650.z |
78650m |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 5^{7} \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.684801352$ |
$1$ |
|
$4$ |
$645120$ |
$1.858898$ |
$2053225511/1189760$ |
$0.93592$ |
$4.03510$ |
$[1, 0, 1, 80099, -308552]$ |
\(y^2+xy+y=x^3+80099x-308552\) |
440.2.0.? |
$[(32, 1496)]$ |
| 92950.u1 |
92950a1 |
92950.u |
92950a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{7} \cdot 5^{7} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$5.042737652$ |
$1$ |
|
$0$ |
$903168$ |
$1.942427$ |
$2053225511/1189760$ |
$0.93592$ |
$4.06379$ |
$[1, 0, 1, 111874, 529648]$ |
\(y^2+xy+y=x^3+111874x+529648\) |
440.2.0.? |
$[(9403/2, 911643/2)]$ |
| 102960.dw1 |
102960es1 |
102960.dw |
102960es |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{19} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.097685$ |
$2053225511/1189760$ |
$0.93592$ |
$3.14952$ |
$[0, 0, 0, 3813, 3274]$ |
\(y^2=x^3+3813x+3274\) |
440.2.0.? |
$[ ]$ |
| 125840.br1 |
125840bf1 |
125840.br |
125840bf |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{19} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.567922699$ |
$1$ |
|
$4$ |
$645120$ |
$1.747328$ |
$2053225511/1189760$ |
$0.93592$ |
$3.75958$ |
$[0, 1, 0, 51264, 178484]$ |
\(y^2=x^3+x^2+51264x+178484\) |
440.2.0.? |
$[(10, 832)]$ |
| 141570.cg1 |
141570dg1 |
141570.cg |
141570dg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$806400$ |
$1.603485$ |
$2053225511/1189760$ |
$0.93592$ |
$3.57671$ |
$[1, -1, 0, 28836, 60880]$ |
\(y^2+xy=x^3-x^2+28836x+60880\) |
440.2.0.? |
$[ ]$ |
| 148720.bo1 |
148720t1 |
148720.bo |
148720t |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{19} \cdot 5 \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$903168$ |
$1.830854$ |
$2053225511/1189760$ |
$0.93592$ |
$3.79100$ |
$[0, 1, 0, 71600, -242540]$ |
\(y^2=x^3+x^2+71600x-242540\) |
440.2.0.? |
$[ ]$ |
| 167310.v1 |
167310el1 |
167310.v |
167310el |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$8.676841543$ |
$1$ |
|
$0$ |
$1128960$ |
$1.687014$ |
$2053225511/1189760$ |
$0.93592$ |
$3.61037$ |
$[1, -1, 0, 40275, -122459]$ |
\(y^2+xy=x^3-x^2+40275x-122459\) |
440.2.0.? |
$[(67825/9, 17849359/9)]$ |
| 204490.q1 |
204490cc1 |
204490.q |
204490cc |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 5 \cdot 11^{7} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$8.146104972$ |
$1$ |
|
$0$ |
$4515840$ |
$2.336655$ |
$2053225511/1189760$ |
$0.93592$ |
$4.18863$ |
$[1, 1, 0, 541473, -5314811]$ |
\(y^2+xy=x^3+x^2+541473x-5314811\) |
440.2.0.? |
$[(261685/21, 209523152/21)]$ |
| 228800.bt1 |
228800ef1 |
228800.bt |
228800ef |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{25} \cdot 5^{7} \cdot 11 \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$2.760709502$ |
$1$ |
|
$8$ |
$1032192$ |
$1.699673$ |
$2053225511/1189760$ |
$0.93592$ |
$3.53110$ |
$[0, -1, 0, 42367, 107137]$ |
\(y^2=x^3-x^2+42367x+107137\) |
440.2.0.? |
$[(161, 3328), (1697, 70400)]$ |
| 228800.es1 |
228800cr1 |
228800.es |
228800cr |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( - 2^{25} \cdot 5^{7} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1032192$ |
$1.699673$ |
$2053225511/1189760$ |
$0.93592$ |
$3.53110$ |
$[0, 1, 0, 42367, -107137]$ |
\(y^2=x^3+x^2+42367x-107137\) |
440.2.0.? |
$[ ]$ |
| 350350.fc1 |
350350fc1 |
350350.fc |
350350fc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{6} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.346132116$ |
$1$ |
|
$4$ |
$2032128$ |
$1.632906$ |
$2053225511/1189760$ |
$0.93592$ |
$3.35050$ |
$[1, 1, 1, 32437, -67719]$ |
\(y^2+xy+y=x^3+x^2+32437x-67719\) |
440.2.0.? |
$[(15, 642)]$ |
| 411840.cs1 |
411840cs1 |
411840.cs |
411840cs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.540540270$ |
$1$ |
|
$4$ |
$1290240$ |
$1.444260$ |
$2053225511/1189760$ |
$0.93592$ |
$3.13349$ |
$[0, 0, 0, 15252, -26192]$ |
\(y^2=x^3+15252x-26192\) |
440.2.0.? |
$[(6, 256)]$ |
| 411840.dz1 |
411840dz1 |
411840.dz |
411840dz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$2.531617242$ |
$1$ |
|
$0$ |
$1290240$ |
$1.444260$ |
$2053225511/1189760$ |
$0.93592$ |
$3.13349$ |
$[0, 0, 0, 15252, 26192]$ |
\(y^2=x^3+15252x+26192\) |
440.2.0.? |
$[(202/3, 16640/3)]$ |
| 413270.bh1 |
413270bh1 |
413270.bh |
413270bh |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 5 \cdot 11 \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$10.27838503$ |
$1$ |
|
$0$ |
$1071616$ |
$1.271839$ |
$2053225511/1189760$ |
$0.93592$ |
$2.97266$ |
$[1, 0, 1, 7652, 9946]$ |
\(y^2+xy+y=x^3+7652x+9946\) |
440.2.0.? |
$[(87392/19, 26657362/19)]$ |
