Elliptic curve search results

Results (32 matches)

 

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
29400.g1	29400t1	29400.g	29400t	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.603705242$	$1$		$14$	$9216$	$0.214134$	$1280/729$	$1.06119$	$2.51484$	$[0, -1, 0, 12, 477]$	\(y^2=x^3-x^2+12x+477\)	14.2.0.a.1	$[(6, 27), (33, 189)]$
29400.h1	29400dn1	29400.h	29400dn	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$322560$	$1.991808$	$1280/729$	$1.06119$	$4.58818$	$[0, -1, 0, 14292, -20624463]$	\(y^2=x^3-x^2+14292x-20624463\)	14.2.0.a.1	$[]$
29400.cp1	29400es1	29400.cp	29400es	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.132300576$	$1$		$10$	$46080$	$1.018852$	$1280/729$	$1.06119$	$3.45340$	$[0, 1, 0, 292, 60213]$	\(y^2=x^3+x^2+292x+60213\)	14.2.0.a.1	$[(58, 525)]$
29400.cq1	29400bv1	29400.cq	29400bv	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.783805877$	$1$		$4$	$64512$	$1.187090$	$1280/729$	$1.06119$	$3.64962$	$[0, 1, 0, 572, -164767]$	\(y^2=x^3+x^2+572x-164767\)	14.2.0.a.1	$[(212, 3087)]$
58800.eq1	58800bi1	58800.eq	58800bi	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$129024$	$1.187090$	$1280/729$	$1.06119$	$3.41927$	$[0, -1, 0, 572, 164767]$	\(y^2=x^3-x^2+572x+164767\)	14.2.0.a.1	$[]$
58800.er1	58800ch1	58800.er	58800ch	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.225319346$	$1$		$0$	$92160$	$1.018852$	$1280/729$	$1.06119$	$3.23543$	$[0, -1, 0, 292, -60213]$	\(y^2=x^3-x^2+292x-60213\)	14.2.0.a.1	$[(293/2, 4725/2)]$
58800.jz1	58800ep1	58800.jz	58800ep	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$645120$	$1.991808$	$1280/729$	$1.06119$	$4.29859$	$[0, 1, 0, 14292, 20624463]$	\(y^2=x^3+x^2+14292x+20624463\)	14.2.0.a.1	$[]$
58800.ka1	58800dr1	58800.ka	58800dr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.820401584$	$1$		$2$	$18432$	$0.214134$	$1280/729$	$1.06119$	$2.35611$	$[0, 1, 0, 12, -477]$	\(y^2=x^3+x^2+12x-477\)	14.2.0.a.1	$[(9, 21)]$
88200.hu1	88200ed1	88200.hu	88200ed	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.568159$	$1280/729$	$1.06119$	$3.69909$	$[0, 0, 0, 2625, -1623125]$	\(y^2=x^3+2625x-1623125\)	14.2.0.a.1	$[]$
88200.hv1	88200hg1	88200.hv	88200hg	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$516096$	$1.736395$	$1280/729$	$1.06119$	$3.87638$	$[0, 0, 0, 5145, 4453855]$	\(y^2=x^3+5145x+4453855\)	14.2.0.a.1	$[]$
88200.hy1	88200hf1	88200.hy	88200hf	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$73728$	$0.763440$	$1280/729$	$1.06119$	$2.85108$	$[0, 0, 0, 105, -12985]$	\(y^2=x^3+105x-12985\)	14.2.0.a.1	$[]$
88200.ia1	88200ec1	88200.ia	88200ec	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$2580480$	$2.541115$	$1280/729$	$1.06119$	$4.72439$	$[0, 0, 0, 128625, 556731875]$	\(y^2=x^3+128625x+556731875\)	14.2.0.a.1	$[]$
176400.bh1	176400nu1	176400.bh	176400nu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$5.757878901$	$1$		$0$	$1032192$	$1.736395$	$1280/729$	$1.06119$	$3.65396$	$[0, 0, 0, 5145, -4453855]$	\(y^2=x^3+5145x-4453855\)	14.2.0.a.1	$[(14896/5, 1812069/5)]$
176400.bi1	176400lj1	176400.bi	176400lj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.568159$	$1280/729$	$1.06119$	$3.48685$	$[0, 0, 0, 2625, 1623125]$	\(y^2=x^3+2625x+1623125\)	14.2.0.a.1	$[]$
176400.bo1	176400lk1	176400.bo	176400lk	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.541115$	$1280/729$	$1.06119$	$4.45332$	$[0, 0, 0, 128625, -556731875]$	\(y^2=x^3+128625x-556731875\)	14.2.0.a.1	$[]$
176400.bq1	176400nw1	176400.bq	176400nw	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.227207781$	$1$		$2$	$147456$	$0.763440$	$1280/729$	$1.06119$	$2.68749$	$[0, 0, 0, 105, 12985]$	\(y^2=x^3+105x+12985\)	14.2.0.a.1	$[(56, 441)]$
235200.u1	235200u1	235200.u	235200u	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1.656571897$	$1$		$2$	$147456$	$0.560708$	$1280/729$	$1.06119$	$2.42828$	$[0, -1, 0, 47, -3863]$	\(y^2=x^3-x^2+47x-3863\)	14.2.0.a.1	$[(16, 27)]$
235200.v1	235200v1	235200.v	235200v	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{9} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$5.156052970$	$1$		$4$	$5160960$	$2.338383$	$1280/729$	$1.06119$	$4.15304$	$[0, -1, 0, 57167, 164938537]$	\(y^2=x^3-x^2+57167x+164938537\)	14.2.0.a.1	$[(-408, 8575), (-8, 12825)]$
235200.nq1	235200nq1	235200.nq	235200nq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$4$	$2$	$0$	$1032192$	$1.533663$	$1280/729$	$1.06119$	$3.37227$	$[0, -1, 0, 2287, -1320423]$	\(y^2=x^3-x^2+2287x-1320423\)	14.2.0.a.1	$[]$
235200.nr1	235200nr1	235200.nr	235200nr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$4.484719035$	$1$		$2$	$737280$	$1.365427$	$1280/729$	$1.06119$	$3.20904$	$[0, -1, 0, 1167, 480537]$	\(y^2=x^3-x^2+1167x+480537\)	14.2.0.a.1	$[(408, 8289)]$
235200.pr1	235200pr1	235200.pr	235200pr	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$2.697712236$	$1$		$2$	$737280$	$1.365427$	$1280/729$	$1.06119$	$3.20904$	$[0, 1, 0, 1167, -480537]$	\(y^2=x^3+x^2+1167x-480537\)	14.2.0.a.1	$[(114, 1071)]$
235200.ps1	235200ps1	235200.ps	235200ps	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$1032192$	$1.533663$	$1280/729$	$1.06119$	$3.37227$	$[0, 1, 0, 2287, 1320423]$	\(y^2=x^3+x^2+2287x+1320423\)	14.2.0.a.1	$[]$
235200.bbv1	235200bbv1	235200.bbv	235200bbv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$5160960$	$2.338383$	$1280/729$	$1.06119$	$4.15304$	$[0, 1, 0, 57167, -164938537]$	\(y^2=x^3+x^2+57167x-164938537\)	14.2.0.a.1	$[]$
235200.bbw1	235200bbw1	235200.bbw	235200bbw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$0.784374639$	$1$		$2$	$147456$	$0.560708$	$1280/729$	$1.06119$	$2.42828$	$[0, 1, 0, 47, 3863]$	\(y^2=x^3+x^2+47x+3863\)	14.2.0.a.1	$[(2, 63)]$
705600.cx1	-	705600.cx	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$41287680$	$2.887688$	$1280/729$	$1.06119$	$4.30371$	$[0, 0, 0, 514500, 4453855000]$	\(y^2=x^3+514500x+4453855000\)	14.2.0.a.1	$[]$
705600.cy1	-	705600.cy	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$5.683742751$	$1$		$0$	$1179648$	$1.110014$	$1280/729$	$1.06119$	$2.71966$	$[0, 0, 0, 420, -103880]$	\(y^2=x^3+420x-103880\)	14.2.0.a.1	$[(469/3, 6587/3)]$
705600.dn1	-	705600.dn	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$6.603388327$	$1$		$0$	$8257536$	$2.082970$	$1280/729$	$1.06119$	$3.58664$	$[0, 0, 0, 20580, 35630840]$	\(y^2=x^3+20580x+35630840\)	14.2.0.a.1	$[(-6811/5, 391363/5)]$
705600.dp1	-	705600.dp	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$5898240$	$1.914732$	$1280/729$	$1.06119$	$3.43673$	$[0, 0, 0, 10500, -12985000]$	\(y^2=x^3+10500x-12985000\)	14.2.0.a.1	$[]$
705600.bzh1	-	705600.bzh	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$1179648$	$1.110014$	$1280/729$	$1.06119$	$2.71966$	$[0, 0, 0, 420, 103880]$	\(y^2=x^3+420x+103880\)	14.2.0.a.1	$[]$
705600.bzi1	-	705600.bzi	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$43.96790634$	$1$		$0$	$41287680$	$2.887688$	$1280/729$	$1.06119$	$4.30371$	$[0, 0, 0, 514500, -4453855000]$	\(y^2=x^3+514500x-4453855000\)	14.2.0.a.1	$[(212254028275257160829/132489677, 3093861577544965378408153977983/132489677)]$
705600.bzw1	-	705600.bzw	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$3.437030545$	$1$		$2$	$5898240$	$1.914732$	$1280/729$	$1.06119$	$3.43673$	$[0, 0, 0, 10500, 12985000]$	\(y^2=x^3+10500x+12985000\)	14.2.0.a.1	$[(525, 12775)]$
705600.bzy1	-	705600.bzy	-	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \)	\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$14$	$2$	$0$	$1$	$1$		$0$	$8257536$	$2.082970$	$1280/729$	$1.06119$	$3.58664$	$[0, 0, 0, 20580, -35630840]$	\(y^2=x^3+20580x-35630840\)	14.2.0.a.1	$[]$