| 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 |
Manin constant |
| 2415.a1 |
2415a3 |
2415.a |
2415a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 3^{3} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.914810088$ |
$1$ |
|
$4$ |
$1920$ |
$0.741029$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.77513$ |
$[1, 1, 1, -5051, 136064]$ |
\(y^2+xy+y=x^3+x^2-5051x+136064\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 60.12.0-4.c.1.1, 184.12.0.?, $\ldots$ |
$[(41, -17)]$ |
$1$ |
| 7245.n1 |
7245p3 |
7245.n |
7245p |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 3^{9} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.290335$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.92653$ |
$[1, -1, 0, -45459, -3719192]$ |
\(y^2+xy=x^3-x^2-45459x-3719192\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 84.12.0.?, 210.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 12075.v1 |
12075s3 |
12075.v |
12075s |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 3^{3} \cdot 5^{7} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.545748$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.98487$ |
$[1, 0, 1, -126276, 17260573]$ |
\(y^2+xy+y=x^3-126276x+17260573\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 140.12.0.?, 210.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 16905.h1 |
16905z3 |
16905.h |
16905z |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 3^{3} \cdot 5 \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$92160$ |
$1.713984$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.01996$ |
$[1, 0, 0, -247500, -47412513]$ |
\(y^2+xy=x^3-247500x-47412513\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 210.6.0.?, 420.24.0.?, 1288.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 36225.r1 |
36225bp4 |
36225.r |
36225bp |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 3^{9} \cdot 5^{7} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$5.843273795$ |
$1$ |
|
$0$ |
$368640$ |
$2.095055$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.09111$ |
$[1, -1, 1, -1136480, -466035478]$ |
\(y^2+xy+y=x^3-x^2-1136480x-466035478\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 210.6.0.?, 420.24.0.?, 1288.24.0.?, $\ldots$ |
$[(-2465/2, 3059/2)]$ |
$1$ |
| 38640.cg1 |
38640ct4 |
38640.cg |
38640ct |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.708923444$ |
$1$ |
|
$7$ |
$122880$ |
$1.434175$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.30915$ |
$[0, 1, 0, -80816, -8869740]$ |
\(y^2=x^3+x^2-80816x-8869740\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 60.12.0-4.c.1.2, 184.12.0.?, $\ldots$ |
$[(-164, 6)]$ |
$1$ |
| 50715.bj1 |
50715bb4 |
50715.bj |
50715bb |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 3^{9} \cdot 5 \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$737280$ |
$2.263290$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.11934$ |
$[1, -1, 0, -2227500, 1280137851]$ |
\(y^2+xy=x^3-x^2-2227500x+1280137851\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 140.12.0.?, 210.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 55545.c1 |
55545f4 |
55545.c |
55545f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 3^{3} \cdot 5 \cdot 7 \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1013760$ |
$2.308777$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.12667$ |
$[1, 1, 1, -2671990, -1682212750]$ |
\(y^2+xy+y=x^3+x^2-2671990x-1682212750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 210.6.0.?, 420.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 84525.cn1 |
84525r4 |
84525.cn |
84525r |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 3^{3} \cdot 5^{7} \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$3.638502792$ |
$1$ |
|
$2$ |
$2211840$ |
$2.518703$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.15899$ |
$[1, 1, 0, -6187500, -5926564125]$ |
\(y^2+xy=x^3+x^2-6187500x-5926564125\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 84.12.0.?, 210.6.0.?, $\ldots$ |
$[(32570, 5844115)]$ |
$1$ |
| 115920.fb1 |
115920ew4 |
115920.fb |
115920ew |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$4.232948633$ |
$1$ |
|
$3$ |
$983040$ |
$1.983482$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.46845$ |
$[0, 0, 0, -727347, 238755634]$ |
\(y^2=x^3-727347x+238755634\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 84.12.0.?, 210.6.0.?, $\ldots$ |
$[(519, 1030)]$ |
$1$ |
| 154560.ed1 |
154560co4 |
154560.ed |
154560co |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$2.615520908$ |
$4$ |
$2$ |
$3$ |
$983040$ |
$1.780750$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.15726$ |
$[0, -1, 0, -323265, -70634655]$ |
\(y^2=x^3-x^2-323265x-70634655\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(821, 14720)]$ |
$1$ |
| 154560.gi1 |
154560ek3 |
154560.gi |
154560ek |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{3} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$2.685100452$ |
$1$ |
|
$5$ |
$983040$ |
$1.780750$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.15726$ |
$[0, 1, 0, -323265, 70634655]$ |
\(y^2=x^3+x^2-323265x+70634655\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(333, 156)]$ |
$1$ |
| 166635.bp1 |
166635bs3 |
166635.bp |
166635bs |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 3^{9} \cdot 5 \cdot 7 \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8110080$ |
$2.858082$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.20647$ |
$[1, -1, 0, -24047910, 45395696335]$ |
\(y^2+xy=x^3-x^2-24047910x+45395696335\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 210.6.0.?, 280.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 193200.f1 |
193200ek4 |
193200.f |
193200ek |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2949120$ |
$2.238895$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.53273$ |
$[0, -1, 0, -2020408, -1104676688]$ |
\(y^2=x^3-x^2-2020408x-1104676688\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 210.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 253575.z1 |
253575z3 |
253575.z |
253575z |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 3^{9} \cdot 5^{7} \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$0.955828522$ |
$1$ |
|
$10$ |
$17694720$ |
$3.068008$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.23324$ |
$[1, -1, 1, -55687505, 159961543872]$ |
\(y^2+xy+y=x^3-x^2-55687505x+159961543872\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 60.12.0-4.c.1.1, 184.12.0.?, $\ldots$ |
$[(4454, 14310)]$ |
$1$ |
| 270480.da1 |
270480da3 |
270480.da |
270480da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$6.160194232$ |
$1$ |
|
$5$ |
$5898240$ |
$2.407131$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.57220$ |
$[0, -1, 0, -3960000, 3034400832]$ |
\(y^2=x^3-x^2-3960000x+3034400832\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 210.6.0.?, 420.24.0.?, 1288.24.0.?, $\ldots$ |
$[(7082, 574574)]$ |
$1$ |
| 277725.cn1 |
277725cn4 |
277725.cn |
277725cn |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{3} \cdot 5^{7} \cdot 7 \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$16.94495239$ |
$1$ |
|
$0$ |
$24330240$ |
$3.113495$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.23881$ |
$[1, 0, 1, -66799751, -210142994227]$ |
\(y^2+xy+y=x^3-66799751x-210142994227\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 168.12.0.?, 210.6.0.?, $\ldots$ |
$[(-163126769/186, 3689748277/186)]$ |
$1$ |
| 292215.y1 |
292215y4 |
292215.y |
292215y |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( 3^{3} \cdot 5 \cdot 7 \cdot 11^{6} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$212520$ |
$48$ |
$0$ |
$10.79234963$ |
$4$ |
$2$ |
$0$ |
$2457600$ |
$1.939976$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.09869$ |
$[1, 1, 0, -611173, -184157288]$ |
\(y^2+xy=x^3+x^2-611173x-184157288\) |
2.3.0.a.1, 4.6.0.c.1, 210.6.0.?, 308.12.0.?, 420.12.0.?, $\ldots$ |
$[(972511/18, 914017015/18)]$ |
$1$ |
| 388815.bb1 |
388815bb3 |
388815.bb |
388815bb |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
\( 3^{3} \cdot 5 \cdot 7^{7} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48660480$ |
$3.281731$ |
$14251520160844849/264449745$ |
$0.94216$ |
$5.25871$ |
$[1, 0, 0, -130927511, 576606190656]$ |
\(y^2+xy=x^3-130927511x+576606190656\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 92.12.0.?, 120.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 408135.bl1 |
408135bl3 |
408135.bl |
408135bl |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( 3^{3} \cdot 5 \cdot 7 \cdot 13^{6} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$251160$ |
$48$ |
$0$ |
$8.351956673$ |
$1$ |
|
$0$ |
$3686400$ |
$2.023502$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.07028$ |
$[1, 1, 0, -853622, 303201111]$ |
\(y^2+xy=x^3+x^2-853622x+303201111\) |
2.3.0.a.1, 4.6.0.c.1, 210.6.0.?, 364.12.0.?, 420.12.0.?, $\ldots$ |
$[(5275/2, 301773/2)]$ |
$1$ |
| 463680.dk1 |
463680dk4 |
463680.dk |
463680dk |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$10.19978885$ |
$1$ |
|
$1$ |
$7864320$ |
$2.330055$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.31242$ |
$[0, 0, 0, -2909388, -1910045072]$ |
\(y^2=x^3-2909388x-1910045072\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 168.12.0.?, 210.6.0.?, $\ldots$ |
$[(44932/3, 8873072/3)]$ |
$1$ |
| 463680.el1 |
463680el3 |
463680.el |
463680el |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{9} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7864320$ |
$2.330055$ |
$14251520160844849/264449745$ |
$0.94216$ |
$4.31242$ |
$[0, 0, 0, -2909388, 1910045072]$ |
\(y^2=x^3-2909388x+1910045072\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 168.12.0.?, 210.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
