| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 9300.a1 |
9300f2 |
9300.a |
9300f |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$0.336019682$ |
$1$ |
|
$11$ |
$7680$ |
$0.750854$ |
$1917170512/279$ |
$0.89746$ |
$4.00272$ |
$1$ |
$[0, -1, 0, -4108, 102712]$ |
\(y^2=x^3-x^2-4108x+102712\) |
2.3.0.a.1, 12.6.0.c.1, 124.6.0.?, 372.12.0.? |
$[(42, 50)]$ |
$1$ |
| 9300.a2 |
9300f1 |
9300.a |
9300f |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3 \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$0.672039364$ |
$1$ |
|
$7$ |
$3840$ |
$0.404281$ |
$-5619712/2883$ |
$0.91178$ |
$3.13049$ |
$1$ |
$[0, -1, 0, -233, 1962]$ |
\(y^2=x^3-x^2-233x+1962\) |
2.3.0.a.1, 6.6.0.a.1, 124.6.0.?, 372.12.0.? |
$[(7, 25)]$ |
$1$ |
| 9300.b1 |
9300a2 |
9300.b |
9300a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{8} \cdot 31 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1.389460090$ |
$1$ |
|
$21$ |
$13824$ |
$0.970968$ |
$2533446736/62775$ |
$0.83738$ |
$4.03322$ |
$1$ |
$[0, -1, 0, -4508, -112488]$ |
\(y^2=x^3-x^2-4508x-112488\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
$[(-38, 50), (-34, 18)]$ |
$1$ |
| 9300.b2 |
9300a1 |
9300.b |
9300a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{7} \cdot 31^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$0.347365022$ |
$1$ |
|
$27$ |
$6912$ |
$0.624394$ |
$112377856/43245$ |
$0.87556$ |
$3.38886$ |
$1$ |
$[0, -1, 0, -633, 3762]$ |
\(y^2=x^3-x^2-633x+3762\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[(27, 75), (-9, 93)]$ |
$1$ |
| 9300.c1 |
9300g1 |
9300.c |
9300g |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$186$ |
$2$ |
$0$ |
$2.650646205$ |
$1$ |
|
$2$ |
$12672$ |
$1.130680$ |
$903361331200/5491557$ |
$1.05136$ |
$4.32407$ |
$1$ |
$[0, -1, 0, -10933, -434063]$ |
\(y^2=x^3-x^2-10933x-434063\) |
186.2.0.? |
$[(-57, 26)]$ |
$1$ |
| 9300.d1 |
9300c2 |
9300.d |
9300c |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$930$ |
$16$ |
$0$ |
$4.431447148$ |
$1$ |
|
$2$ |
$116640$ |
$2.273926$ |
$-109189315135671400192/21717639$ |
$1.05618$ |
$6.40953$ |
$1$ |
$[0, -1, 0, -6272858, -6044997663]$ |
\(y^2=x^3-x^2-6272858x-6044997663\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 62.2.0.a.1, 186.8.0.?, 930.16.0.? |
$[(5396, 342333)]$ |
$1$ |
| 9300.d2 |
9300c1 |
9300.d |
9300c |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{18} \cdot 5^{6} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$930$ |
$16$ |
$0$ |
$13.29434144$ |
$1$ |
|
$0$ |
$38880$ |
$1.724621$ |
$-196948657599232/12010035159$ |
$1.07547$ |
$4.97314$ |
$1$ |
$[0, -1, 0, -76358, -8513163]$ |
\(y^2=x^3-x^2-76358x-8513163\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 62.2.0.a.1, 186.8.0.?, 930.16.0.? |
$[(65689103/331, 459972676539/331)]$ |
$1$ |
| 9300.e1 |
9300d2 |
9300.e |
9300d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$3.192886763$ |
$1$ |
|
$3$ |
$18432$ |
$1.249763$ |
$11702923216/5084775$ |
$0.88169$ |
$4.20069$ |
$1$ |
$[0, -1, 0, -7508, 127512]$ |
\(y^2=x^3-x^2-7508x+127512\) |
2.3.0.a.1, 20.6.0.c.1, 124.6.0.?, 620.12.0.? |
$[(97, 550)]$ |
$1$ |
| 9300.e2 |
9300d1 |
9300.e |
9300d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{7} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1.596443381$ |
$1$ |
|
$3$ |
$9216$ |
$0.903191$ |
$21217755136/389205$ |
$0.92022$ |
$3.96238$ |
$1$ |
$[0, -1, 0, -3633, -81738]$ |
\(y^2=x^3-x^2-3633x-81738\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[(582, 13950)]$ |
$1$ |
| 9300.f1 |
9300e2 |
9300.f |
9300e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{8} \cdot 3 \cdot 5^{10} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1860$ |
$16$ |
$0$ |
$3.384291009$ |
$1$ |
|
$2$ |
$45360$ |
$1.598652$ |
$-17003419600/89373$ |
$0.90065$ |
$4.94708$ |
$1$ |
$[0, -1, 0, -72708, -7556088]$ |
\(y^2=x^3-x^2-72708x-7556088\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 372.8.0.?, 1860.16.0.? |
$[(578, 11966)]$ |
$1$ |
| 9300.f2 |
9300e1 |
9300.f |
9300e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1860$ |
$16$ |
$0$ |
$10.15287302$ |
$1$ |
|
$0$ |
$15120$ |
$1.049347$ |
$532400/837$ |
$0.77582$ |
$3.87021$ |
$1$ |
$[0, -1, 0, 2292, -56088]$ |
\(y^2=x^3-x^2+2292x-56088\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 372.8.0.?, 1860.16.0.? |
$[(16169/17, 2427554/17)]$ |
$1$ |
| 9300.g1 |
9300h1 |
9300.g |
9300h |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{8} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$186$ |
$2$ |
$0$ |
$1.847645879$ |
$1$ |
|
$2$ |
$14400$ |
$0.970181$ |
$14049280/7533$ |
$0.90267$ |
$3.81699$ |
$1$ |
$[0, -1, 0, -2333, 12537]$ |
\(y^2=x^3-x^2-2333x+12537\) |
186.2.0.? |
$[(-8, 175)]$ |
$1$ |
| 9300.h1 |
9300b1 |
9300.h |
9300b |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$62$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$0.368618$ |
$-87808/2511$ |
$0.87449$ |
$3.03492$ |
$1$ |
$[0, -1, 0, -58, 1237]$ |
\(y^2=x^3-x^2-58x+1237\) |
62.2.0.a.1 |
$[ ]$ |
$1$ |
| 9300.i1 |
9300m2 |
9300.i |
9300m |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{8} \cdot 3 \cdot 5^{4} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$372$ |
$16$ |
$0$ |
$4.705009675$ |
$1$ |
|
$2$ |
$9072$ |
$0.793934$ |
$-17003419600/89373$ |
$0.90065$ |
$3.89030$ |
$1$ |
$[0, 1, 0, -2908, -61612]$ |
\(y^2=x^3+x^2-2908x-61612\) |
3.8.0-3.a.1.1, 372.16.0.? |
$[(79, 456)]$ |
$1$ |
| 9300.i2 |
9300m1 |
9300.i |
9300m |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 31 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$372$ |
$16$ |
$0$ |
$1.568336558$ |
$1$ |
|
$8$ |
$3024$ |
$0.244628$ |
$532400/837$ |
$0.77582$ |
$2.81343$ |
$1$ |
$[0, 1, 0, 92, -412]$ |
\(y^2=x^3+x^2+92x-412\) |
3.8.0-3.a.1.2, 372.16.0.? |
$[(4, 6)]$ |
$1$ |
| 9300.j1 |
9300k1 |
9300.j |
9300k |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$186$ |
$2$ |
$0$ |
$0.184833619$ |
$1$ |
|
$8$ |
$2880$ |
$0.165463$ |
$14049280/7533$ |
$0.90267$ |
$2.76021$ |
$1$ |
$[0, 1, 0, -93, 63]$ |
\(y^2=x^3+x^2-93x+63\) |
186.2.0.? |
$[(-3, 18)]$ |
$1$ |
| 9300.k1 |
9300j1 |
9300.k |
9300j |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{10} \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$186$ |
$2$ |
$0$ |
$2.205186768$ |
$1$ |
|
$2$ |
$63360$ |
$1.935398$ |
$903361331200/5491557$ |
$1.05136$ |
$5.38085$ |
$1$ |
$[0, 1, 0, -273333, -54804537]$ |
\(y^2=x^3+x^2-273333x-54804537\) |
186.2.0.? |
$[(-318, 243)]$ |
$1$ |
| 9300.l1 |
9300i2 |
9300.l |
9300i |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$3.108852334$ |
$1$ |
|
$3$ |
$9216$ |
$0.997581$ |
$1193895376/174375$ |
$0.83169$ |
$3.95089$ |
$1$ |
$[0, 1, 0, -3508, 67988]$ |
\(y^2=x^3+x^2-3508x+67988\) |
2.3.0.a.1, 12.6.0.c.1, 124.6.0.?, 372.12.0.? |
$[(103, 900)]$ |
$1$ |
| 9300.l2 |
9300i1 |
9300.l |
9300i |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3 \cdot 5^{8} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$372$ |
$12$ |
$0$ |
$6.217704669$ |
$1$ |
|
$1$ |
$4608$ |
$0.651007$ |
$21807104/72075$ |
$0.88422$ |
$3.37904$ |
$1$ |
$[0, 1, 0, 367, 5988]$ |
\(y^2=x^3+x^2+367x+5988\) |
2.3.0.a.1, 6.6.0.a.1, 124.6.0.?, 372.12.0.? |
$[(1257/8, 74475/8)]$ |
$1$ |
| 9300.m1 |
9300l1 |
9300.m |
9300l |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$62$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$0.233240$ |
$-1755904/279$ |
$0.78069$ |
$2.96028$ |
$1$ |
$[0, 1, 0, -158, 813]$ |
\(y^2=x^3+x^2-158x+813\) |
62.2.0.a.1 |
$[ ]$ |
$1$ |
