Elliptic curve search results

Results (28 matches)

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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
2888.a1	2888e1	2888.a	2888e	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( - 2^{11} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$5.890280682$	$1$		$2$	$19152$	$1.781502$	$-722$	$0.85758$	$5.63141$	$[0, -1, 0, -43440, 6433996]$	\(y^2=x^3-x^2-43440x+6433996\)	8.2.0.a.1	$[(-171, 2972)]$	$1$
2888.d1	2888b1	2888.d	2888b	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( - 2^{11} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$4.590094418$	$1$		$2$	$1008$	$0.309282$	$-722$	$0.85758$	$3.41430$	$[0, 1, 0, -120, -976]$	\(y^2=x^3+x^2-120x-976\)	8.2.0.a.1	$[(91, 866)]$	$1$
5776.e1	5776b1	5776.e	5776b	$1$	$1$	\( 2^{4} \cdot 19^{2} \)	\( - 2^{11} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$0.224869741$	$1$		$6$	$2016$	$0.309282$	$-722$	$0.85758$	$3.14106$	$[0, -1, 0, -120, 976]$	\(y^2=x^3-x^2-120x+976\)	8.2.0.a.1	$[(-6, 38)]$	$1$
5776.j1	5776e1	5776.j	5776e	$1$	$1$	\( 2^{4} \cdot 19^{2} \)	\( - 2^{11} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$38304$	$1.781502$	$-722$	$0.85758$	$5.18075$	$[0, 1, 0, -43440, -6433996]$	\(y^2=x^3+x^2-43440x-6433996\)	8.2.0.a.1	$[ ]$	$1$
23104.u1	23104e1	23104.u	23104e	$1$	$1$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{17} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1.873473484$	$1$		$2$	$16128$	$0.655856$	$-722$	$0.85758$	$3.12160$	$[0, -1, 0, -481, -7327]$	\(y^2=x^3-x^2-481x-7327\)	8.2.0.a.1	$[(32, 95)]$	$1$
23104.v1	23104bx1	23104.v	23104bx	$1$	$1$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{17} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$27.27586920$	$1$		$0$	$306432$	$2.128075$	$-722$	$0.85758$	$4.87987$	$[0, -1, 0, -173761, -51298207]$	\(y^2=x^3-x^2-173761x-51298207\)	8.2.0.a.1	$[(1174842805447/28769, 1204789326433101560/28769)]$	$1$
23104.bp1	23104p1	23104.bp	23104p	$1$	$1$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{17} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$4$	$2$	$0$	$306432$	$2.128075$	$-722$	$0.85758$	$4.87987$	$[0, 1, 0, -173761, 51298207]$	\(y^2=x^3+x^2-173761x+51298207\)	8.2.0.a.1	$[ ]$	$1$
23104.bq1	23104bc1	23104.bq	23104bc	$1$	$1$	\( 2^{6} \cdot 19^{2} \)	\( - 2^{17} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$16128$	$0.655856$	$-722$	$0.85758$	$3.12160$	$[0, 1, 0, -481, 7327]$	\(y^2=x^3+x^2-481x+7327\)	8.2.0.a.1	$[ ]$	$1$
25992.bb1	25992o1	25992.bb	25992o	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$75.66716576$	$1$		$0$	$574560$	$2.330807$	$-722$	$0.85758$	$5.06264$	$[0, 0, 0, -390963, -173326930]$	\(y^2=x^3-390963x-173326930\)	8.2.0.a.1	$[(724266099403719224364121104697190/89255320650029, 19491125365837199352386384794466955721783070737670/89255320650029)]$	$1$
25992.bc1	25992ba1	25992.bc	25992ba	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$7.825486955$	$1$		$2$	$30240$	$0.858588$	$-722$	$0.85758$	$3.32475$	$[0, 0, 0, -1083, 25270]$	\(y^2=x^3-1083x+25270\)	8.2.0.a.1	$[(2490, 124240)]$	$1$
51984.cs1	51984bb1	51984.cs	51984bb	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$21.39623325$	$1$		$0$	$1149120$	$2.330807$	$-722$	$0.85758$	$4.73948$	$[0, 0, 0, -390963, 173326930]$	\(y^2=x^3-390963x+173326930\)	8.2.0.a.1	$[(3436915135/1389, 191940766265530/1389)]$	$1$
51984.ct1	51984q1	51984.ct	51984q	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 3^{6} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$60480$	$0.858588$	$-722$	$0.85758$	$3.11252$	$[0, 0, 0, -1083, -25270]$	\(y^2=x^3-1083x-25270\)	8.2.0.a.1	$[ ]$	$1$
72200.m1	72200v1	72200.m	72200v	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 5^{6} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$80640$	$1.114002$	$-722$	$0.85758$	$3.29509$	$[0, -1, 0, -3008, -115988]$	\(y^2=x^3-x^2-3008x-115988\)	8.2.0.a.1	$[ ]$	$1$
72200.x1	72200d1	72200.x	72200d	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 5^{6} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$9$	$3$	$0$	$1532160$	$2.586220$	$-722$	$0.85758$	$4.87428$	$[0, 1, 0, -1086008, 802077488]$	\(y^2=x^3+x^2-1086008x+802077488\)	8.2.0.a.1	$[ ]$	$1$
141512.s1	141512bf1	141512.s	141512bf	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 7^{6} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$387072$	$1.282238$	$-722$	$0.85758$	$3.27835$	$[0, -1, 0, -5896, 322988]$	\(y^2=x^3-x^2-5896x+322988\)	8.2.0.a.1	$[ ]$	$1$
141512.bo1	141512r1	141512.bo	141512r	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 7^{6} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$49$	$7$	$0$	$7354368$	$2.754456$	$-722$	$0.85758$	$4.76793$	$[0, 1, 0, -2128576, -2202603488]$	\(y^2=x^3+x^2-2128576x-2202603488\)	8.2.0.a.1	$[ ]$	$1$
144400.v1	144400cd1	144400.v	144400cd	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 5^{6} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$3064320$	$2.586220$	$-722$	$0.85758$	$4.58989$	$[0, -1, 0, -1086008, -802077488]$	\(y^2=x^3-x^2-1086008x-802077488\)	8.2.0.a.1	$[ ]$	$1$
144400.cd1	144400co1	144400.cd	144400co	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 5^{6} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$0.409223692$	$1$		$4$	$161280$	$1.114002$	$-722$	$0.85758$	$3.10284$	$[0, 1, 0, -3008, 115988]$	\(y^2=x^3+x^2-3008x+115988\)	8.2.0.a.1	$[(158, 1900)]$	$1$
207936.g1	207936b1	207936.g	207936b	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$6.350776381$	$1$		$0$	$483840$	$1.205162$	$-722$	$0.85758$	$3.09978$	$[0, 0, 0, -4332, -202160]$	\(y^2=x^3-4332x-202160\)	8.2.0.a.1	$[(748/3, 2944/3)]$	$1$
207936.h1	207936c1	207936.h	207936c	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$9192960$	$2.677383$	$-722$	$0.85758$	$4.54255$	$[0, 0, 0, -1563852, 1386615440]$	\(y^2=x^3-1563852x+1386615440\)	8.2.0.a.1	$[ ]$	$1$
207936.l1	207936em1	207936.l	207936em	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 19^{4} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1.364162296$	$1$		$10$	$483840$	$1.205162$	$-722$	$0.85758$	$3.09978$	$[0, 0, 0, -4332, 202160]$	\(y^2=x^3-4332x+202160\)	8.2.0.a.1	$[(38, 304), (152, 1748)]$	$1$
207936.m1	207936en1	207936.m	207936en	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 19^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$47.22958358$	$1$		$0$	$9192960$	$2.677383$	$-722$	$0.85758$	$4.54255$	$[0, 0, 0, -1563852, -1386615440]$	\(y^2=x^3-1563852x-1386615440\)	8.2.0.a.1	$[(288903199577783121117/209008073, 4809942222810473332117173714853/209008073)]$	$1$
283024.bg1	283024bg1	283024.bg	283024bg	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 7^{6} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$7.882439374$	$1$		$0$	$14708736$	$2.754456$	$-722$	$0.85758$	$4.50466$	$[0, -1, 0, -2128576, 2202603488]$	\(y^2=x^3-x^2-2128576x+2202603488\)	8.2.0.a.1	$[(-28036/5, 7046788/5)]$	$1$
283024.cm1	283024cm1	283024.cm	283024cm	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 7^{6} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$774144$	$1.282238$	$-722$	$0.85758$	$3.09733$	$[0, 1, 0, -5896, -322988]$	\(y^2=x^3+x^2-5896x-322988\)	8.2.0.a.1	$[ ]$	$1$
349448.b1	349448b1	349448.b	349448b	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 11^{6} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$92.03773733$	$1$		$0$	$25855200$	$2.980450$	$-722$	$0.85758$	$4.64272$	$[0, -1, 0, -5256280, -8542623604]$	\(y^2=x^3-x^2-5256280x-8542623604\)	8.2.0.a.1	$[(6834369697373497776565089122759007185921/1286718230330498183, 426503645266650893475735140716622072322797246534092041793166/1286718230330498183)]$	$1$
349448.p1	349448p1	349448.p	349448p	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 11^{6} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$3.048927515$	$1$		$2$	$1360800$	$1.508230$	$-722$	$0.85758$	$3.25864$	$[0, 1, 0, -14560, 1240864]$	\(y^2=x^3+x^2-14560x+1240864\)	8.2.0.a.1	$[(63, 760)]$	$1$
488072.m1	488072m1	488072.m	488072m	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 13^{6} \cdot 19^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$16$	$2$	$0$	$44126208$	$3.063976$	$-722$	$0.85758$	$4.60082$	$[0, -1, 0, -7341416, 14106123628]$	\(y^2=x^3-x^2-7341416x+14106123628\)	8.2.0.a.1	$[ ]$	$1$
488072.y1	488072y1	488072.y	488072y	$1$	$1$	\( 2^{3} \cdot 13^{2} \cdot 19^{2} \)	\( - 2^{11} \cdot 13^{6} \cdot 19^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$8$	$2$	$0$	$1$	$4$	$2$	$0$	$2322432$	$1.591757$	$-722$	$0.85758$	$3.25204$	$[0, 1, 0, -20336, -2063008]$	\(y^2=x^3+x^2-20336x-2063008\)	8.2.0.a.1	$[ ]$	$1$

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