| 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 |
| 11550.f1 |
11550n4 |
11550.f |
11550n |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{9} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.2 |
2B, 5B.1.4 |
$4620$ |
$288$ |
$5$ |
$5.707845976$ |
$1$ |
|
$2$ |
$1920000$ |
$3.357719$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$7.31233$ |
$[1, 1, 0, -166369450, 825866396500]$ |
\(y^2+xy=x^3+x^2-166369450x+825866396500\) |
2.3.0.a.1, 5.24.0-5.a.1.1, 10.72.0-10.a.2.3, 60.144.1-60.cf.1.5, 924.6.0.?, $\ldots$ |
$[(4484, 410126)]$ |
| 11550.cu1 |
11550cu4 |
11550.cu |
11550cu |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/10\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.24.0.1 |
2B, 5B.1.1 |
$4620$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$8$ |
$384000$ |
$2.553001$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.28003$ |
$[1, 0, 0, -6654778, 6606931172]$ |
\(y^2+xy=x^3-6654778x+6606931172\) |
2.3.0.a.1, 5.24.0-5.a.1.2, 10.72.0-10.a.2.1, 60.144.1-60.cf.1.13, 924.6.0.?, $\ldots$ |
$[]$ |
| 34650.bp1 |
34650cb4 |
34650.bp |
34650cb |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3072000$ |
$3.102306$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.25060$ |
$[1, -1, 0, -59893002, -178387141644]$ |
\(y^2+xy=x^3-x^2-59893002x-178387141644\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.1, 20.72.0-10.a.2.6, $\ldots$ |
$[]$ |
| 34650.cl1 |
34650dx4 |
34650.cl |
34650dx |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{9} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$15360000$ |
$3.907028$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$7.17441$ |
$[1, -1, 1, -1497325055, -22299890030553]$ |
\(y^2+xy+y=x^3-x^2-1497325055x-22299890030553\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.2, 20.72.0-10.a.2.5, $\ldots$ |
$[]$ |
| 80850.de1 |
80850df4 |
80850.de |
80850df |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{9} \cdot 7^{16} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$10.31288376$ |
$1$ |
|
$2$ |
$92160000$ |
$4.330673$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$7.08635$ |
$[1, 0, 1, -8152103076, -283296630308702]$ |
\(y^2+xy+y=x^3-8152103076x-283296630308702\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 35.24.0-5.a.1.1, 60.72.1.cf.1, $\ldots$ |
$[(7765552, 21634710161)]$ |
| 80850.el1 |
80850fh4 |
80850.el |
80850fh |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 7^{16} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$5.693747046$ |
$1$ |
|
$2$ |
$18432000$ |
$3.525959$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.23181$ |
$[1, 1, 1, -326084123, -2266503476119]$ |
\(y^2+xy+y=x^3+x^2-326084123x-2266503476119\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 35.24.0-5.a.1.2, 60.72.1.cf.1, $\ldots$ |
$[(-10381, 5798)]$ |
| 92400.t1 |
92400ez4 |
92400.t |
92400ez |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{22} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$29.06092815$ |
$1$ |
|
$1$ |
$9216000$ |
$3.246151$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$5.86537$ |
$[0, -1, 0, -106476448, -422843595008]$ |
\(y^2=x^3-x^2-106476448x-422843595008\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.8, 30.72.0-10.a.2.2, $\ldots$ |
$[(-51837027789174/93259, 2781480090006514358/93259)]$ |
| 92400.gs1 |
92400ig4 |
92400.gs |
92400ig |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{22} \cdot 3^{5} \cdot 5^{9} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$3.792112704$ |
$1$ |
|
$5$ |
$46080000$ |
$4.050865$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.70993$ |
$[0, 1, 0, -2661911208, -52860773198412]$ |
\(y^2=x^3+x^2-2661911208x-52860773198412\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.7, 30.72.0-10.a.2.1, $\ldots$ |
$[(-29868, 30282)]$ |
| 127050.cm1 |
127050ea4 |
127050.cm |
127050ea |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$46080000$ |
$3.751949$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.22289$ |
$[1, 0, 1, -805228141, -8794630618072]$ |
\(y^2+xy+y=x^3-805228141x-8794630618072\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 55.24.0-5.a.1.1, 60.72.1.cf.1, $\ldots$ |
$[]$ |
| 127050.gx1 |
127050gy4 |
127050.gx |
127050gy |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 5^{9} \cdot 7^{10} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$4.194242898$ |
$1$ |
|
$4$ |
$230400000$ |
$4.556671$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$7.04457$ |
$[1, 1, 1, -20130703513, -1099328827258969]$ |
\(y^2+xy+y=x^3+x^2-20130703513x-1099328827258969\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 55.24.0-5.a.1.2, 60.72.1.cf.1, $\ldots$ |
$[(-81671, 168088)]$ |
| 242550.p1 |
242550p4 |
242550.p |
242550p |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{3} \cdot 7^{16} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$147456000$ |
$4.075264$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.21127$ |
$[1, -1, 0, -2934757107, 61192659098101]$ |
\(y^2+xy=x^3-x^2-2934757107x+61192659098101\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 60.72.1.cf.1, 105.24.0.?, $\ldots$ |
$[]$ |
| 242550.kt1 |
242550kt4 |
242550.kt |
242550kt |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{9} \cdot 7^{16} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$6.193733643$ |
$1$ |
|
$2$ |
$737280000$ |
$4.879982$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.99009$ |
$[1, -1, 1, -73368927680, 7649009018334947]$ |
\(y^2+xy+y=x^3-x^2-73368927680x+7649009018334947\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 60.72.1.cf.1, 105.24.0.?, $\ldots$ |
$[(2539455, 4023384913)]$ |
| 277200.gg1 |
277200gg4 |
277200.gg |
277200gg |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{22} \cdot 3^{11} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$6.948088525$ |
$1$ |
|
$3$ |
$73728000$ |
$3.795456$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$5.87717$ |
$[0, 0, 0, -958288035, 11417735353250]$ |
\(y^2=x^3-958288035x+11417735353250\) |
2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.2, 60.144.1-60.cf.1.11, 924.6.0.?, $\ldots$ |
$[(-3710, 3862890)]$ |
| 277200.lk1 |
277200lk4 |
277200.lk |
277200lk |
$4$ |
$10$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{22} \cdot 3^{11} \cdot 5^{9} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$368640000$ |
$4.600174$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.64770$ |
$[0, 0, 0, -23957200875, 1427216919156250]$ |
\(y^2=x^3-23957200875x+1427216919156250\) |
2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.4, 60.144.1-60.cf.1.3, 924.6.0.?, $\ldots$ |
$[]$ |
| 369600.hd1 |
369600hd4 |
369600.hd |
369600hd |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{28} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$1.363806388$ |
$1$ |
|
$5$ |
$73728000$ |
$3.592724$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$5.55552$ |
$[0, -1, 0, -425905793, 3383174665857]$ |
\(y^2=x^3-x^2-425905793x+3383174665857\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 40.72.0-10.a.2.8, 60.72.1.cf.1, $\ldots$ |
$[(5793, 1053696)]$ |
| 369600.ll1 |
369600ll4 |
369600.ll |
369600ll |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{28} \cdot 3^{5} \cdot 5^{9} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$26.48779906$ |
$1$ |
|
$1$ |
$368640000$ |
$4.397438$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.30876$ |
$[0, -1, 0, -10647644833, -422875537942463]$ |
\(y^2=x^3-x^2-10647644833x-422875537942463\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 40.72.0-10.a.2.9, 60.72.1.cf.1, $\ldots$ |
$[(-3940480667889/8149, 24107642859781072/8149)]$ |
| 369600.ny1 |
369600ny4 |
369600.ny |
369600ny |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{28} \cdot 3^{5} \cdot 5^{9} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$7.196236746$ |
$1$ |
|
$3$ |
$368640000$ |
$4.397438$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.30876$ |
$[0, 1, 0, -10647644833, 422875537942463]$ |
\(y^2=x^3+x^2-10647644833x+422875537942463\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 40.72.0-10.a.2.6, 60.72.1.cf.1, $\ldots$ |
$[(62548259, 494677607424)]$ |
| 369600.ov1 |
369600ov4 |
369600.ov |
369600ov |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 2^{28} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$13.60202742$ |
$1$ |
|
$1$ |
$73728000$ |
$3.592724$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$5.55552$ |
$[0, 1, 0, -425905793, -3383174665857]$ |
\(y^2=x^3+x^2-425905793x-3383174665857\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 40.72.0-10.a.2.11, 60.72.1.cf.1, $\ldots$ |
$[(-10003731/29, 218894244/29)]$ |
| 381150.hr1 |
381150hr4 |
381150.hr |
381150hr |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{9} \cdot 7^{10} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$2.099170006$ |
$1$ |
|
$6$ |
$1843200000$ |
$5.105972$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.95527$ |
$[1, -1, 0, -181176331617, 29681697159660541]$ |
\(y^2+xy=x^3-x^2-181176331617x+29681697159660541\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 60.72.1.cf.1, 140.72.0.?, $\ldots$ |
$[(240210, 4528231)]$ |
| 381150.je1 |
381150je4 |
381150.je |
381150je |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{11} \cdot 5^{3} \cdot 7^{10} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$4620$ |
$288$ |
$5$ |
$3.299222716$ |
$1$ |
|
$4$ |
$368640000$ |
$4.301254$ |
$260744057755293612689909/8504954620259328$ |
$1.07273$ |
$6.20384$ |
$[1, -1, 1, -7247053265, 237455026687937]$ |
\(y^2+xy+y=x^3-x^2-7247053265x+237455026687937\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 60.72.1.cf.1, 140.72.0.?, $\ldots$ |
$[(49635, 142888)]$ |
