Elliptic curve search results

Results (12 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
12090.q1	12090q1	12090.q	12090q	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( - 2^{2} \cdot 3^{17} \cdot 5^{11} \cdot 13^{3} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$24180$	$2$	$0$	$0.035077718$	$1$		$16$	$628320$	$2.757660$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.97478$	$[1, 0, 1, 1658657, 1816853558]$	\(y^2+xy+y=x^3+1658657x+1816853558\)	24180.2.0.?	$[(-731, 14990)]$
36270.bh1	36270bo1	36270.bh	36270bo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \)	\( - 2^{2} \cdot 3^{23} \cdot 5^{11} \cdot 13^{3} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$7.530205016$	$1$		$0$	$5026560$	$3.306965$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.97742$	$[1, -1, 1, 14927917, -49055046073]$	\(y^2+xy+y=x^3-x^2+14927917x-49055046073\)	24180.2.0.?	$[(3286059/2, 5953577057/2)]$
60450.cb1	60450bu1	60450.cb	60450bu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \)	\( - 2^{2} \cdot 3^{17} \cdot 5^{17} \cdot 13^{3} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$24.00902153$	$1$		$0$	$15079680$	$3.562378$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.97847$	$[1, 1, 1, 41466437, 227106694781]$	\(y^2+xy+y=x^3+x^2+41466437x+227106694781\)	24180.2.0.?	$[(12317037128155/26207, 46563704012175643836/26207)]$
96720.bv1	96720cg1	96720.bv	96720cg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( - 2^{14} \cdot 3^{17} \cdot 5^{11} \cdot 13^{3} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$1$	$1$		$0$	$15079680$	$3.450806$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.61706$	$[0, -1, 0, 26538520, -116278627728]$	\(y^2=x^3-x^2+26538520x-116278627728\)	24180.2.0.?	$[ ]$
157170.cs1	157170x1	157170.cs	157170x	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \)	\( - 2^{2} \cdot 3^{17} \cdot 5^{11} \cdot 13^{9} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$3.679226647$	$1$		$2$	$105557760$	$4.040138$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.98019$	$[1, 0, 0, 280313114, 3991346954360]$	\(y^2+xy=x^3+280313114x+3991346954360\)	24180.2.0.?	$[(17876, 3827024)]$
181350.bu1	181350ed1	181350.bu	181350ed	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 31 \)	\( - 2^{2} \cdot 3^{23} \cdot 5^{17} \cdot 13^{3} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$41.00320085$	$1$		$0$	$120637440$	$4.111687$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.98042$	$[1, -1, 0, 373197933, -6131507561159]$	\(y^2+xy=x^3-x^2+373197933x-6131507561159\)	24180.2.0.?	$[(4529605080904089624/916559, 9638284296417517182467919067/916559)]$
290160.bx1	290160bx1	290160.bx	290160bx	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \)	\( - 2^{14} \cdot 3^{23} \cdot 5^{11} \cdot 13^{3} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$1$	$1$		$0$	$120637440$	$4.000114$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.65051$	$[0, 0, 0, 238846677, 3139284101978]$	\(y^2=x^3+238846677x+3139284101978\)	24180.2.0.?	$[ ]$
374790.v1	374790v1	374790.v	374790v	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31^{2} \)	\( - 2^{2} \cdot 3^{17} \cdot 5^{11} \cdot 13^{3} \cdot 31^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$8.789056066$	$1$		$0$	$603187200$	$4.474655$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.98153$	$[1, 1, 0, 1593969838, -54121102444296]$	\(y^2+xy=x^3+x^2+1593969838x-54121102444296\)	24180.2.0.?	$[(7399798/9, 21269788534/9)]$
386880.r1	386880r1	386880.r	386880r	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( - 2^{20} \cdot 3^{17} \cdot 5^{11} \cdot 13^{3} \cdot 31 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$1$	$25$	$5$	$0$	$120637440$	$3.797382$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.33508$	$[0, -1, 0, 106154079, 930122867745]$	\(y^2=x^3-x^2+106154079x+930122867745\)	24180.2.0.?	$[ ]$
386880.fw1	386880fw1	386880.fw	386880fw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( - 2^{20} \cdot 3^{17} \cdot 5^{11} \cdot 13^{3} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$5.957849752$	$1$		$2$	$120637440$	$3.797382$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.33508$	$[0, 1, 0, 106154079, -930122867745]$	\(y^2=x^3+x^2+106154079x-930122867745\)	24180.2.0.?	$[(23271, 3760704)]$
471510.cg1	471510cg1	471510.cg	471510cg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \)	\( - 2^{2} \cdot 3^{23} \cdot 5^{11} \cdot 13^{9} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$1.682914766$	$1$		$4$	$844462080$	$4.589439$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.98185$	$[1, -1, 0, 2522818026, -107766367767720]$	\(y^2+xy=x^3-x^2+2522818026x-107766367767720\)	24180.2.0.?	$[(65631, 18419997)]$
483600.fa1	483600fa1	483600.fa	483600fa	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \)	\( - 2^{14} \cdot 3^{17} \cdot 5^{17} \cdot 13^{3} \cdot 31 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24180$	$2$	$0$	$3.829648982$	$1$		$2$	$361912320$	$4.255524$	$504654146753383024121879/1717841617468945312500$	$1.01213$	$5.66415$	$[0, 1, 0, 663462992, -14533501540012]$	\(y^2=x^3+x^2+663462992x-14533501540012\)	24180.2.0.?	$[(565868, 426093750)]$

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