| 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 |
| 11970.y3 |
11970j1 |
11970.y |
11970j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$62208$ |
$1.600792$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.72600$ |
$[1, -1, 0, -54489, 5025645]$ |
\(y^2+xy=x^3-x^2-54489x+5025645\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 456.48.0.?, $\ldots$ |
$[]$ |
| 11970.bm2 |
11970bg3 |
11970.bm |
11970bg |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$186624$ |
$2.150097$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.42797$ |
$[1, -1, 1, -490403, -135202013]$ |
\(y^2+xy+y=x^3-x^2-490403x-135202013\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 456.48.0.?, $\ldots$ |
$[]$ |
| 59850.v2 |
59850e3 |
59850.v |
59850e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4478976$ |
$2.954815$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.51167$ |
$[1, -1, 0, -12260067, -16912511659]$ |
\(y^2+xy=x^3-x^2-12260067x-16912511659\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 30.48.0-30.b.1.2, $\ldots$ |
$[]$ |
| 59850.eg3 |
59850dt1 |
59850.eg |
59850dt |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$0.525558560$ |
$1$ |
|
$11$ |
$1492992$ |
$2.405510$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.91240$ |
$[1, -1, 1, -1362230, 626843397]$ |
\(y^2+xy+y=x^3-x^2-1362230x+626843397\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 30.48.0-30.b.1.1, $\ldots$ |
$[(549, 6375)]$ |
| 83790.o3 |
83790c1 |
83790.o |
83790c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15960$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2985984$ |
$2.573746$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.94469$ |
$[1, -1, 0, -2669970, -1718456300]$ |
\(y^2+xy=x^3-x^2-2669970x-1718456300\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 83790.fd2 |
83790dc3 |
83790.fd |
83790dc |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15960$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8957952$ |
$3.123051$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.52616$ |
$[1, -1, 1, -24029732, 46422349831]$ |
\(y^2+xy+y=x^3-x^2-24029732x+46422349831\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 95760.r2 |
95760bs3 |
95760.r |
95760bs |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4478976$ |
$2.843243$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.16908$ |
$[0, 0, 0, -7846443, 8660775258]$ |
\(y^2=x^3-7846443x+8660775258\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 95760.dq3 |
95760cj1 |
95760.dq |
95760cj |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$4.107301368$ |
$1$ |
|
$5$ |
$1492992$ |
$2.293938$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.59437$ |
$[0, 0, 0, -871827, -320769454]$ |
\(y^2=x^3-871827x-320769454\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$ |
$[(1087, 3990)]$ |
| 227430.z2 |
227430fz3 |
227430.z |
227430fz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$6.701578009$ |
$1$ |
|
$1$ |
$67184640$ |
$3.622318$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.56452$ |
$[1, -1, 0, -177035370, 928235782196]$ |
\(y^2+xy=x^3-x^2-177035370x+928235782196\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$ |
$[(111484/5, 59333942/5)]$ |
| 227430.fv3 |
227430ck1 |
227430.fv |
227430ck |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 19^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$5.666125255$ |
$1$ |
|
$3$ |
$22394880$ |
$3.073009$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.03012$ |
$[1, -1, 1, -19670597, -34372546179]$ |
\(y^2+xy+y=x^3-x^2-19670597x-34372546179\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 30.24.0.b.1, $\ldots$ |
$[(14369, 1620564)]$ |
| 383040.bt3 |
383040bt1 |
383040.bt |
383040bt |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$4.664306772$ |
$1$ |
|
$5$ |
$11943936$ |
$2.640511$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.42245$ |
$[0, 0, 0, -3487308, -2566155632]$ |
\(y^2=x^3-3487308x-2566155632\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 30.24.0.b.1, $\ldots$ |
$[(2181, 14231)]$ |
| 383040.fk3 |
383040fk1 |
383040.fk |
383040fk |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11943936$ |
$2.640511$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.42245$ |
$[0, 0, 0, -3487308, 2566155632]$ |
\(y^2=x^3-3487308x+2566155632\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0.b.1, $\ldots$ |
$[]$ |
| 383040.iy2 |
383040iy3 |
383040.iy |
383040iy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$2.125379890$ |
$1$ |
|
$17$ |
$35831808$ |
$3.189819$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.93518$ |
$[0, 0, 0, -31385772, 69286202064]$ |
\(y^2=x^3-31385772x+69286202064\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 30.24.0.b.1, $\ldots$ |
$[(-1622, 340480), (373, 240065)]$ |
| 383040.na2 |
383040na3 |
383040.na |
383040na |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$11.72256221$ |
$1$ |
|
$1$ |
$35831808$ |
$3.189819$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.93518$ |
$[0, 0, 0, -31385772, -69286202064]$ |
\(y^2=x^3-31385772x-69286202064\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0.b.1, $\ldots$ |
$[(7301734/5, 19726884352/5)]$ |
| 418950.em2 |
418950em3 |
418950.em |
418950em |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{9} \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15960$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$214990848$ |
$3.927773$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.58507$ |
$[1, -1, 0, -600743292, 5802192985616]$ |
\(y^2+xy=x^3-x^2-600743292x+5802192985616\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 42.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 418950.nd3 |
418950nd1 |
418950.nd |
418950nd |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 7^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15960$ |
$96$ |
$1$ |
$11.72943300$ |
$1$ |
|
$1$ |
$71663616$ |
$3.378464$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.07589$ |
$[1, -1, 1, -66749255, -214873786753]$ |
\(y^2+xy+y=x^3-x^2-66749255x-214873786753\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0.b.1, 42.24.0-6.a.1.1, $\ldots$ |
$[(46924119/59, 235888299050/59)]$ |
| 478800.lf3 |
478800lf1 |
478800.lf |
478800lf |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$11.58078109$ |
$1$ |
|
$1$ |
$35831808$ |
$3.098656$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$4.76734$ |
$[0, 0, 0, -21795675, -40096181750]$ |
\(y^2=x^3-21795675x-40096181750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 30.24.0.b.1, $\ldots$ |
$[(13068445/33, 42922129600/33)]$ |
| 478800.lm2 |
478800lm3 |
478800.lm |
478800lm |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{9} \cdot 7^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$4.147713235$ |
$1$ |
|
$3$ |
$107495424$ |
$3.647964$ |
$-662660286993086283/18441985352000$ |
$0.97725$ |
$5.27133$ |
$[0, 0, 0, -196161075, 1082596907250]$ |
\(y^2=x^3-196161075x+1082596907250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 30.24.0.b.1, $\ldots$ |
$[(61545, 14904000)]$ |
