| 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 |
| 3990.g4 |
3990g1 |
3990.g |
3990g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$26880$ |
$1.675800$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.33041$ |
$[1, 1, 0, -46727, -4599051]$ |
\(y^2+xy=x^3+x^2-46727x-4599051\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 76.12.0.?, $\ldots$ |
$[]$ |
| 11970.bj4 |
11970br1 |
11970.bj |
11970br |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{28} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2280$ |
$48$ |
$0$ |
$0.470775040$ |
$1$ |
|
$11$ |
$215040$ |
$2.225105$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.40875$ |
$[1, -1, 1, -420548, 123753831]$ |
\(y^2+xy+y=x^3-x^2-420548x+123753831\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(101, 9021)]$ |
| 19950.cy4 |
19950cw1 |
19950.cy |
19950cw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$645120$ |
$2.480518$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.43926$ |
$[1, 0, 0, -1168188, -572545008]$ |
\(y^2+xy=x^3-1168188x-572545008\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$ |
$[]$ |
| 27930.ba4 |
27930bi1 |
27930.ba |
27930bi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.648754$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.45769$ |
$[1, 0, 1, -2289649, 1570605572]$ |
\(y^2+xy+y=x^3-2289649x+1570605572\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
| 31920.cc4 |
31920cb1 |
31920.cc |
31920cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{40} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$2.368946$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.06366$ |
$[0, 1, 0, -747640, 292843988]$ |
\(y^2=x^3+x^2-747640x+292843988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 76.12.0.?, $\ldots$ |
$[]$ |
| 59850.di4 |
59850cd1 |
59850.di |
59850cd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{28} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$5.618642565$ |
$1$ |
|
$3$ |
$5160960$ |
$3.029823$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.49526$ |
$[1, -1, 0, -10513692, 15458715216]$ |
\(y^2+xy=x^3-x^2-10513692x+15458715216\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[(5985, 405531)]$ |
| 75810.dj4 |
75810do1 |
75810.dj |
75810do |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$0.733968926$ |
$1$ |
|
$15$ |
$9676800$ |
$3.148018$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.50588$ |
$[1, 0, 0, -16868635, 31409942225]$ |
\(y^2+xy=x^3-16868635x+31409942225\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$ |
$[(3830, 149705)]$ |
| 83790.fq4 |
83790fr1 |
83790.fq |
83790fr |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3^{10} \cdot 5^{3} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10321920$ |
$3.198063$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.51024$ |
$[1, -1, 1, -20606837, -42406350451]$ |
\(y^2+xy+y=x^3-x^2-20606837x-42406350451\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 120.12.0.?, 190.6.0.?, $\ldots$ |
$[]$ |
| 95760.bl4 |
95760eb1 |
95760.bl |
95760eb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{40} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2280$ |
$48$ |
$0$ |
$13.57628802$ |
$1$ |
|
$1$ |
$5160960$ |
$2.918255$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.15335$ |
$[0, 0, 0, -6728763, -7913516438]$ |
\(y^2=x^3-6728763x-7913516438\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(18485078/13, 79452662184/13)]$ |
| 127680.y4 |
127680dv1 |
127680.y |
127680dv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{46} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$8.443191112$ |
$1$ |
|
$1$ |
$5160960$ |
$2.715519$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$4.82033$ |
$[0, -1, 0, -2990561, 2345742465]$ |
\(y^2=x^3-x^2-2990561x+2345742465\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(32465/4, 4353615/4)]$ |
| 127680.ed4 |
127680cg1 |
127680.ed |
127680cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{46} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$18.71269533$ |
$1$ |
|
$1$ |
$5160960$ |
$2.715519$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$4.82033$ |
$[0, 1, 0, -2990561, -2345742465]$ |
\(y^2=x^3+x^2-2990561x-2345742465\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(1511817841/317, 58374607662168/317)]$ |
| 139650.ev4 |
139650dv1 |
139650.ev |
139650dv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{9} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30965760$ |
$3.453472$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.53136$ |
$[1, 1, 1, -57241213, 196325696531]$ |
\(y^2+xy+y=x^3+x^2-57241213x+196325696531\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 190.6.0.?, $\ldots$ |
$[]$ |
| 159600.bn4 |
159600ex1 |
159600.bn |
159600ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{40} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$3.539939248$ |
$1$ |
|
$3$ |
$15482880$ |
$3.173668$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.18945$ |
$[0, -1, 0, -18691008, 36642880512]$ |
\(y^2=x^3-x^2-18691008x+36642880512\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$ |
$[(357, 173250)]$ |
| 223440.bt4 |
223440fg1 |
223440.bt |
223440fg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{40} \cdot 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$43.56252003$ |
$1$ |
|
$1$ |
$30965760$ |
$3.341904$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.21159$ |
$[0, -1, 0, -36634376, -100518756624]$ |
\(y^2=x^3-x^2-36634376x-100518756624\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[(165012129041965042913/50665936, 2109860200506761949404096427951/50665936)]$ |
| 227430.p4 |
227430fi1 |
227430.p |
227430fi |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 2^{28} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$15.60029890$ |
$1$ |
|
$1$ |
$77414400$ |
$3.697327$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.54989$ |
$[1, -1, 0, -151817715, -848068440075]$ |
\(y^2+xy=x^3-x^2-151817715x-848068440075\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[(419394889/167, 2382577158607/167)]$ |
| 379050.bg4 |
379050bg1 |
379050.bg |
379050bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.354969850$ |
$1$ |
|
$3$ |
$232243200$ |
$3.952740$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.56779$ |
$[1, 1, 0, -421715875, 3926242778125]$ |
\(y^2+xy=x^3+x^2-421715875x+3926242778125\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.4, 76.12.0.?, $\ldots$ |
$[(17725, 1412575)]$ |
| 383040.hx4 |
383040hx1 |
383040.hx |
383040hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{46} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$3.264828$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$4.92114$ |
$[0, 0, 0, -26915052, 63308131504]$ |
\(y^2=x^3-26915052x+63308131504\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 190.6.0.?, $\ldots$ |
$[]$ |
| 383040.on4 |
383040on1 |
383040.on |
383040on |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{46} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$12.04254928$ |
$1$ |
|
$1$ |
$41287680$ |
$3.264828$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$4.92114$ |
$[0, 0, 0, -26915052, -63308131504]$ |
\(y^2=x^3-26915052x-63308131504\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 190.6.0.?, $\ldots$ |
$[(4419937/4, 9290666385/4)]$ |
| 418950.hx4 |
418950hx1 |
418950.hx |
418950hx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3^{10} \cdot 5^{9} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$247726080$ |
$4.002777$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.57113$ |
$[1, -1, 0, -515170917, -5301308977259]$ |
\(y^2+xy=x^3-x^2-515170917x-5301308977259\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 190.6.0.?, $\ldots$ |
$[]$ |
| 478800.bb4 |
478800bb1 |
478800.bb |
478800bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( - 2^{40} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$123863040$ |
$3.722973$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$5.25753$ |
$[0, 0, 0, -168219075, -989189554750]$ |
\(y^2=x^3-168219075x-989189554750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 120.24.0.?, $\ldots$ |
$[]$ |
| 482790.fw4 |
482790fw1 |
482790.fw |
482790fw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( - 2^{28} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11^{6} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$0.533964066$ |
$1$ |
|
$31$ |
$34406400$ |
$2.874748$ |
$-11283450590382195961/2530373271552000$ |
$0.98187$ |
$4.47645$ |
$[1, 1, 1, -5654030, 6093066827]$ |
\(y^2+xy+y=x^3+x^2-5654030x+6093066827\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 190.6.0.?, 220.12.0.?, $\ldots$ |
$[(17, 77431), (6417, 480631)]$ |
