| 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 |
| 4025.c1 |
4025g1 |
4025.c |
4025g |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 23 \) |
\( - 5^{3} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.210484398$ |
$1$ |
|
$6$ |
$544$ |
$0.119613$ |
$-35806478336/3703$ |
$0.89987$ |
$3.50951$ |
$[0, -1, 1, -343, 2563]$ |
\(y^2+y=x^3-x^2-343x+2563\) |
70.2.0.a.1 |
$[(13, 11)]$ |
| 4025.d1 |
4025f1 |
4025.d |
4025f |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 23 \) |
\( - 5^{9} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.657925041$ |
$1$ |
|
$4$ |
$2720$ |
$0.924332$ |
$-35806478336/3703$ |
$0.89987$ |
$4.67292$ |
$[0, 1, 1, -8583, 303244]$ |
\(y^2+y=x^3+x^2-8583x+303244\) |
70.2.0.a.1 |
$[(58, 62)]$ |
| 28175.r1 |
28175ba1 |
28175.r |
28175ba |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 5^{9} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$130560$ |
$1.897287$ |
$-35806478336/3703$ |
$0.89987$ |
$4.92495$ |
$[0, -1, 1, -420583, -104853932]$ |
\(y^2+y=x^3-x^2-420583x-104853932\) |
70.2.0.a.1 |
$[]$ |
| 28175.s1 |
28175v1 |
28175.s |
28175v |
$1$ |
$1$ |
\( 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 5^{3} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.412437005$ |
$1$ |
|
$4$ |
$26112$ |
$1.092567$ |
$-35806478336/3703$ |
$0.89987$ |
$3.98249$ |
$[0, 1, 1, -16823, -845561]$ |
\(y^2+y=x^3+x^2-16823x-845561\) |
70.2.0.a.1 |
$[(233, 2817)]$ |
| 36225.bd1 |
36225bz1 |
36225.bd |
36225bz |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{6} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$7.599501752$ |
$1$ |
|
$0$ |
$81600$ |
$1.473639$ |
$-35806478336/3703$ |
$0.89987$ |
$4.32276$ |
$[0, 0, 1, -77250, -8264844]$ |
\(y^2+y=x^3-77250x-8264844\) |
70.2.0.a.1 |
$[(8134/3, 693701/3)]$ |
| 36225.bi1 |
36225ci1 |
36225.bi |
36225ci |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{6} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$3.770963189$ |
$1$ |
|
$2$ |
$16320$ |
$0.668920$ |
$-35806478336/3703$ |
$0.89987$ |
$3.40286$ |
$[0, 0, 1, -3090, -66119]$ |
\(y^2+y=x^3-3090x-66119\) |
70.2.0.a.1 |
$[(65, 87)]$ |
| 64400.v1 |
64400ch1 |
64400.v |
64400ch |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$195840$ |
$1.617479$ |
$-35806478336/3703$ |
$0.89987$ |
$4.25403$ |
$[0, -1, 0, -137333, -19544963]$ |
\(y^2=x^3-x^2-137333x-19544963\) |
70.2.0.a.1 |
$[]$ |
| 64400.br1 |
64400cd1 |
64400.br |
64400cd |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$39168$ |
$0.812760$ |
$-35806478336/3703$ |
$0.89987$ |
$3.38193$ |
$[0, 1, 0, -5493, -158557]$ |
\(y^2=x^3+x^2-5493x-158557\) |
70.2.0.a.1 |
$[]$ |
| 92575.j1 |
92575y1 |
92575.j |
92575y |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 5^{3} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$7.645455529$ |
$1$ |
|
$0$ |
$287232$ |
$1.687361$ |
$-35806478336/3703$ |
$0.89987$ |
$4.19236$ |
$[0, -1, 1, -181623, -29734527]$ |
\(y^2+y=x^3-x^2-181623x-29734527\) |
70.2.0.a.1 |
$[(3693/2, 194101/2)]$ |
| 92575.n1 |
92575bb1 |
92575.n |
92575bb |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 5^{9} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1436160$ |
$2.492081$ |
$-35806478336/3703$ |
$0.89987$ |
$5.03678$ |
$[0, 1, 1, -4540583, -3725897006]$ |
\(y^2+y=x^3+x^2-4540583x-3725897006\) |
70.2.0.a.1 |
$[]$ |
| 253575.dh1 |
253575dh1 |
253575.dh |
253575dh |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$5.517744243$ |
$1$ |
|
$6$ |
$3916800$ |
$2.446594$ |
$-35806478336/3703$ |
$0.89987$ |
$4.58505$ |
$[0, 0, 1, -3785250, 2834841406]$ |
\(y^2+y=x^3-3785250x+2834841406\) |
70.2.0.a.1 |
$[(1100, 1437), (10150/3, 15299/3)]$ |
| 253575.di1 |
253575di1 |
253575.di |
253575di |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.546662433$ |
$1$ |
|
$4$ |
$783360$ |
$1.641874$ |
$-35806478336/3703$ |
$0.89987$ |
$3.80900$ |
$[0, 0, 1, -151410, 22678731]$ |
\(y^2+y=x^3-151410x+22678731\) |
70.2.0.a.1 |
$[(105, 2817)]$ |
| 257600.bp1 |
257600bp1 |
257600.bp |
257600bp |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$78336$ |
$0.466187$ |
$-35806478336/3703$ |
$0.89987$ |
$2.67183$ |
$[0, -1, 0, -1373, -19133]$ |
\(y^2=x^3-x^2-1373x-19133\) |
70.2.0.a.1 |
$[]$ |
| 257600.bq1 |
257600bq1 |
257600.bq |
257600bq |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.290428951$ |
$1$ |
|
$2$ |
$391680$ |
$1.270906$ |
$-35806478336/3703$ |
$0.89987$ |
$3.44689$ |
$[0, -1, 0, -34333, 2460287]$ |
\(y^2=x^3-x^2-34333x+2460287\) |
70.2.0.a.1 |
$[(242, 2875)]$ |
| 257600.er1 |
257600er1 |
257600.er |
257600er |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$391680$ |
$1.270906$ |
$-35806478336/3703$ |
$0.89987$ |
$3.44689$ |
$[0, 1, 0, -34333, -2460287]$ |
\(y^2=x^3+x^2-34333x-2460287\) |
70.2.0.a.1 |
$[]$ |
| 257600.es1 |
257600es1 |
257600.es |
257600es |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.126053906$ |
$1$ |
|
$0$ |
$78336$ |
$0.466187$ |
$-35806478336/3703$ |
$0.89987$ |
$2.67183$ |
$[0, 1, 0, -1373, 19133]$ |
\(y^2=x^3+x^2-1373x+19133\) |
70.2.0.a.1 |
$[(77/2, 115/2)]$ |
| 450800.cg1 |
450800cg1 |
450800.cg |
450800cg |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.646068190$ |
$1$ |
|
$2$ |
$1880064$ |
$1.785715$ |
$-35806478336/3703$ |
$0.89987$ |
$3.77325$ |
$[0, -1, 0, -269173, 53846717]$ |
\(y^2=x^3-x^2-269173x+53846717\) |
70.2.0.a.1 |
$[(292, 245)]$ |
| 450800.eq1 |
450800eq1 |
450800.eq |
450800eq |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9400320$ |
$2.590435$ |
$-35806478336/3703$ |
$0.89987$ |
$4.51500$ |
$[0, 1, 0, -6729333, 6717380963]$ |
\(y^2=x^3+x^2-6729333x+6717380963\) |
70.2.0.a.1 |
$[]$ |
| 487025.y1 |
487025y1 |
487025.y |
487025y |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 5^{3} \cdot 7 \cdot 11^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$5.775926267$ |
$1$ |
|
$0$ |
$777920$ |
$1.318562$ |
$-35806478336/3703$ |
$0.89987$ |
$3.32292$ |
$[0, -1, 1, -41543, -3245562]$ |
\(y^2+y=x^3-x^2-41543x-3245562\) |
70.2.0.a.1 |
$[(1077/2, 17913/2)]$ |
| 487025.ba1 |
487025ba1 |
487025.ba |
487025ba |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 5^{9} \cdot 7 \cdot 11^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$24.18786169$ |
$1$ |
|
$0$ |
$3889600$ |
$2.123280$ |
$-35806478336/3703$ |
$0.89987$ |
$4.06029$ |
$[0, 1, 1, -1038583, -407772381]$ |
\(y^2+y=x^3+x^2-1038583x-407772381\) |
70.2.0.a.1 |
$[(288044078083/10851, 138185988919951787/10851)]$ |
