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 |
31200.bb1 |
31200bs1 |
31200.bb |
31200bs |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.499031728$ |
$1$ |
|
$2$ |
$129600$ |
$1.616077$ |
$261568120/10024911$ |
$0.97986$ |
$4.12381$ |
$[0, -1, 0, 7792, 2135412]$ |
\(y^2=x^3-x^2+7792x+2135412\) |
312.2.0.? |
$[(-108, 150)]$ |
31200.bc1 |
31200j1 |
31200.bc |
31200j |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$0.811358$ |
$261568120/10024911$ |
$0.97986$ |
$3.19064$ |
$[0, -1, 0, 312, -17208]$ |
\(y^2=x^3-x^2+312x-17208\) |
312.2.0.? |
$[]$ |
31200.bi1 |
31200ci1 |
31200.bi |
31200ci |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129600$ |
$1.616077$ |
$261568120/10024911$ |
$0.97986$ |
$4.12381$ |
$[0, 1, 0, 7792, -2135412]$ |
\(y^2=x^3+x^2+7792x-2135412\) |
312.2.0.? |
$[]$ |
31200.bj1 |
31200y1 |
31200.bj |
31200y |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.240128760$ |
$1$ |
|
$4$ |
$25920$ |
$0.811358$ |
$261568120/10024911$ |
$0.97986$ |
$3.19064$ |
$[0, 1, 0, 312, 17208]$ |
\(y^2=x^3+x^2+312x+17208\) |
312.2.0.? |
$[(-18, 78)]$ |
62400.k1 |
62400el1 |
62400.k |
62400el |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.157932$ |
$261568120/10024911$ |
$0.97986$ |
$3.36700$ |
$[0, -1, 0, 1247, 136417]$ |
\(y^2=x^3-x^2+1247x+136417\) |
312.2.0.? |
$[]$ |
62400.n1 |
62400fx1 |
62400.n |
62400fx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.962650$ |
$261568120/10024911$ |
$0.97986$ |
$4.24159$ |
$[0, -1, 0, 31167, -17114463]$ |
\(y^2=x^3-x^2+31167x-17114463\) |
312.2.0.? |
$[]$ |
62400.ht1 |
62400gr1 |
62400.ht |
62400gr |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.170069254$ |
$1$ |
|
$2$ |
$103680$ |
$1.157932$ |
$261568120/10024911$ |
$0.97986$ |
$3.36700$ |
$[0, 1, 0, 1247, -136417]$ |
\(y^2=x^3+x^2+1247x-136417\) |
312.2.0.? |
$[(47, 168)]$ |
62400.hy1 |
62400if1 |
62400.hy |
62400if |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.640424912$ |
$1$ |
|
$6$ |
$518400$ |
$1.962650$ |
$261568120/10024911$ |
$0.97986$ |
$4.24159$ |
$[0, 1, 0, 31167, 17114463]$ |
\(y^2=x^3+x^2+31167x+17114463\) |
312.2.0.? |
$[(-21, 4056)]$ |
93600.j1 |
93600ch1 |
93600.j |
93600ch |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$6.135159274$ |
$1$ |
|
$0$ |
$1036800$ |
$2.165382$ |
$261568120/10024911$ |
$0.97986$ |
$4.30388$ |
$[0, 0, 0, 70125, 57726250]$ |
\(y^2=x^3+70125x+57726250\) |
312.2.0.? |
$[(1649/2, 100143/2)]$ |
93600.l1 |
93600ep1 |
93600.l |
93600ep |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.893676886$ |
$1$ |
|
$12$ |
$207360$ |
$1.360664$ |
$261568120/10024911$ |
$0.97986$ |
$3.46027$ |
$[0, 0, 0, 2805, -461810]$ |
\(y^2=x^3+2805x-461810\) |
312.2.0.? |
$[(209, 3042), (329/2, 4563/2)]$ |
93600.es1 |
93600cg1 |
93600.es |
93600cg |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$15.83218881$ |
$1$ |
|
$0$ |
$1036800$ |
$2.165382$ |
$261568120/10024911$ |
$0.97986$ |
$4.30388$ |
$[0, 0, 0, 70125, -57726250]$ |
\(y^2=x^3+70125x-57726250\) |
312.2.0.? |
$[(12407681/101, 44038999546/101)]$ |
93600.eu1 |
93600em1 |
93600.eu |
93600em |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$1.360664$ |
$261568120/10024911$ |
$0.97986$ |
$3.46027$ |
$[0, 0, 0, 2805, 461810]$ |
\(y^2=x^3+2805x+461810\) |
312.2.0.? |
$[]$ |
187200.z1 |
187200cq1 |
187200.z |
187200cq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.982871581$ |
$1$ |
|
$2$ |
$829440$ |
$1.707237$ |
$261568120/10024911$ |
$0.97986$ |
$3.60528$ |
$[0, 0, 0, 11220, -3694480]$ |
\(y^2=x^3+11220x-3694480\) |
312.2.0.? |
$[(166, 1656)]$ |
187200.bb1 |
187200g1 |
187200.bb |
187200g |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.298204417$ |
$1$ |
|
$6$ |
$4147200$ |
$2.511955$ |
$261568120/10024911$ |
$0.97986$ |
$4.40072$ |
$[0, 0, 0, 280500, 461810000]$ |
\(y^2=x^3+280500x+461810000\) |
312.2.0.? |
$[(250, 23400)]$ |
187200.pi1 |
187200gg1 |
187200.pi |
187200gg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$3.665657324$ |
$1$ |
|
$2$ |
$829440$ |
$1.707237$ |
$261568120/10024911$ |
$0.97986$ |
$3.60528$ |
$[0, 0, 0, 11220, 3694480]$ |
\(y^2=x^3+11220x+3694480\) |
312.2.0.? |
$[(416, 8964)]$ |
187200.pm1 |
187200bz1 |
187200.pm |
187200bz |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.897016154$ |
$1$ |
|
$2$ |
$4147200$ |
$2.511955$ |
$261568120/10024911$ |
$0.97986$ |
$4.40072$ |
$[0, 0, 0, 280500, -461810000]$ |
\(y^2=x^3+280500x-461810000\) |
312.2.0.? |
$[(1700, 70200)]$ |
405600.i1 |
405600i1 |
405600.i |
405600i |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4354560$ |
$2.093834$ |
$261568120/10024911$ |
$0.97986$ |
$3.74867$ |
$[0, -1, 0, 52672, -37595208]$ |
\(y^2=x^3-x^2+52672x-37595208\) |
312.2.0.? |
$[]$ |
405600.j1 |
405600j1 |
405600.j |
405600j |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21772800$ |
$2.898552$ |
$261568120/10024911$ |
$0.97986$ |
$4.49648$ |
$[0, -1, 0, 1316792, 4696767412]$ |
\(y^2=x^3-x^2+1316792x+4696767412\) |
312.2.0.? |
$[]$ |
405600.gx1 |
405600gx1 |
405600.gx |
405600gx |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$17.56808557$ |
$1$ |
|
$0$ |
$21772800$ |
$2.898552$ |
$261568120/10024911$ |
$0.97986$ |
$4.49648$ |
$[0, 1, 0, 1316792, -4696767412]$ |
\(y^2=x^3+x^2+1316792x-4696767412\) |
312.2.0.? |
$[(25512745619/1661, 4094524149678924/1661)]$ |
405600.gy1 |
405600gy1 |
405600.gy |
405600gy |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$5.475945755$ |
$1$ |
|
$0$ |
$4354560$ |
$2.093834$ |
$261568120/10024911$ |
$0.97986$ |
$3.74867$ |
$[0, 1, 0, 52672, 37595208]$ |
\(y^2=x^3+x^2+52672x+37595208\) |
312.2.0.? |
$[(3286/3, 277498/3)]$ |