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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
10830.a1 |
10830a2 |
10830.a |
10830a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$6.500650622$ |
$1$ |
|
$2$ |
$389120$ |
$2.683609$ |
$276288773643091/41990400$ |
$[1, 1, 0, -9306948, -10930905648]$ |
\(y^2+xy=x^3+x^2-9306948x-10930905648\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(51816, 11748252)]$ |
10830.z1 |
10830bb2 |
10830.z |
10830bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$0.118299013$ |
$1$ |
|
$18$ |
$20480$ |
$1.211390$ |
$276288773643091/41990400$ |
$[1, 0, 0, -25781, 1590945]$ |
\(y^2+xy=x^3-25781x+1590945\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(58, 511)]$ |
32490.p1 |
32490r2 |
32490.p |
32490r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.285398556$ |
$1$ |
|
$4$ |
$163840$ |
$1.760696$ |
$276288773643091/41990400$ |
$[1, -1, 0, -232029, -42955515]$ |
\(y^2+xy=x^3-x^2-232029x-42955515\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(-279, 72)]$ |
32490.bq1 |
32490bt2 |
32490.bq |
32490bt |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3112960$ |
$3.232914$ |
$276288773643091/41990400$ |
$[1, -1, 1, -83762537, 295050689961]$ |
\(y^2+xy+y=x^3-x^2-83762537x+295050689961\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
54150.k1 |
54150c2 |
54150.k |
54150c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.306943951$ |
$1$ |
|
$6$ |
$491520$ |
$2.016109$ |
$276288773643091/41990400$ |
$[1, 1, 0, -644525, 198868125]$ |
\(y^2+xy=x^3+x^2-644525x+198868125\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(490, 755)]$ |
54150.cq1 |
54150cj2 |
54150.cq |
54150cj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.586755158$ |
$1$ |
|
$4$ |
$9338880$ |
$3.488327$ |
$276288773643091/41990400$ |
$[1, 0, 0, -232673713, -1365897858583]$ |
\(y^2+xy=x^3-232673713x-1365897858583\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(-8758, -6421)]$ |
86640.q1 |
86640bn2 |
86640.q |
86640bn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.904537$ |
$276288773643091/41990400$ |
$[0, -1, 0, -412496, -101820480]$ |
\(y^2=x^3-x^2-412496x-101820480\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
86640.cu1 |
86640cv2 |
86640.cu |
86640cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$4.987138788$ |
$1$ |
|
$5$ |
$9338880$ |
$3.376755$ |
$276288773643091/41990400$ |
$[0, 1, 0, -148911176, 699280139124]$ |
\(y^2=x^3+x^2-148911176x+699280139124\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(6964, 6810)]$ |
162450.bu1 |
162450dz2 |
162450.bu |
162450dz |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74711040$ |
$4.037636$ |
$276288773643091/41990400$ |
$[1, -1, 0, -2094063417, 36879242181741]$ |
\(y^2+xy=x^3-x^2-2094063417x+36879242181741\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
162450.ek1 |
162450bl2 |
162450.ek |
162450bl |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.110604943$ |
$1$ |
|
$6$ |
$3932160$ |
$2.565414$ |
$276288773643091/41990400$ |
$[1, -1, 1, -5800730, -5375240103]$ |
\(y^2+xy+y=x^3-x^2-5800730x-5375240103\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(-1401, 225)]$ |
259920.gb1 |
259920gb2 |
259920.gb |
259920gb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{14} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.453842$ |
$276288773643091/41990400$ |
$[0, 0, 0, -3712467, 2752865426]$ |
\(y^2=x^3-3712467x+2752865426\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
259920.gc1 |
259920gc2 |
259920.gc |
259920gc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{14} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$74711040$ |
$3.926064$ |
$276288773643091/41990400$ |
$[0, 0, 0, -1340200587, -18881903956934]$ |
\(y^2=x^3-1340200587x-18881903956934\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
346560.ds1 |
346560ds2 |
346560.ds |
346560ds |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{26} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.251110$ |
$276288773643091/41990400$ |
$[0, -1, 0, -1649985, 816213825]$ |
\(y^2=x^3-x^2-1649985x+816213825\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
346560.ex1 |
346560ex2 |
346560.ex |
346560ex |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{26} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$13.66737320$ |
$1$ |
|
$1$ |
$74711040$ |
$3.723331$ |
$276288773643091/41990400$ |
$[0, -1, 0, -595644705, 5594836757697]$ |
\(y^2=x^3-x^2-595644705x+5594836757697\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(222367421/127, 114962562560/127)]$ |
346560.jg1 |
346560jg2 |
346560.jg |
346560jg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{26} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$18.30264884$ |
$1$ |
|
$1$ |
$74711040$ |
$3.723331$ |
$276288773643091/41990400$ |
$[0, 1, 0, -595644705, -5594836757697]$ |
\(y^2=x^3+x^2-595644705x-5594836757697\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(-6611333886/683, 6785117136495/683)]$ |
346560.kp1 |
346560kp2 |
346560.kp |
346560kp |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{26} \cdot 3^{8} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.251110$ |
$276288773643091/41990400$ |
$[0, 1, 0, -1649985, -816213825]$ |
\(y^2=x^3+x^2-1649985x-816213825\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
433200.bm1 |
433200bm2 |
433200.bm |
433200bm |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$224133120$ |
$4.181473$ |
$276288773643091/41990400$ |
$[0, -1, 0, -3722779408, 87417462949312]$ |
\(y^2=x^3-x^2-3722779408x+87417462949312\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[]$ |
433200.gt1 |
433200gt2 |
433200.gt |
433200gt |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$3.803593503$ |
$1$ |
|
$3$ |
$11796480$ |
$2.709255$ |
$276288773643091/41990400$ |
$[0, 1, 0, -10312408, -12748184812]$ |
\(y^2=x^3+x^2-10312408x-12748184812\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(3863, 71250)]$ |