Elliptic curve search results

Results (8 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
22542.s1	22542s1	22542.s	22542s	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{34} \cdot 3^{17} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$1$		$0$	$5243616$	$3.432964$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$6.64744$	$[1, 1, 1, -92082036, -335313259083]$	\(y^2+xy+y=x^3+x^2-92082036x-335313259083\)	156.2.0.?	$[ ]$
22542.z1	22542y1	22542.z	22542y	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{34} \cdot 3^{17} \cdot 13^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$1$		$0$	$89141472$	$4.849571$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$8.34344$	$[1, 0, 0, -26611708410, -1647207759915036]$	\(y^2+xy=x^3-26611708410x-1647207759915036\)	156.2.0.?	$[ ]$
67626.g1	67626n1	67626.g	67626n	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{34} \cdot 3^{23} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$18.20817356$	$1$		$0$	$713131776$	$5.398872$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$8.11196$	$[1, -1, 0, -239505375690, 44474609517705972]$	\(y^2+xy=x^3-x^2-239505375690x+44474609517705972\)	156.2.0.?	$[(547551357549156/40963, 2234098788482739021930/40963)]$
67626.k1	67626e1	67626.k	67626e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{34} \cdot 3^{23} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$1$	$1$		$0$	$41948928$	$3.982269$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$6.58348$	$[1, -1, 0, -828738324, 9052629256912]$	\(y^2+xy=x^3-x^2-828738324x+9052629256912\)	156.2.0.?	$[ ]$
180336.x1	180336bk1	180336.x	180336bk	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{46} \cdot 3^{17} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$194.8037543$	$1$		$0$	$2139395328$	$5.542717$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$7.59716$	$[0, -1, 0, -425787334560, 105421296634562304]$	\(y^2=x^3-x^2-425787334560x+105421296634562304\)	156.2.0.?	$[(7758973069587697672271879624267379479202657831109402512152601236171063293376476453034/5003380754824328550612281040947287165957, 7114618740912810805979237961013955279532841092696932133035684563582946536225327090787282541795779042874078283532135492540093846/5003380754824328550612281040947287165957)]$
180336.cg1	180336j1	180336.cg	180336j	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{46} \cdot 3^{17} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$6.434606897$	$1$		$2$	$125846784$	$4.126106$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$6.19256$	$[0, 1, 0, -1473312576, 21457101956148]$	\(y^2=x^3+x^2-1473312576x+21457101956148\)	156.2.0.?	$[(-34716, 5546718)]$
293046.n1	293046n1	293046.n	293046n	$1$	$1$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17^{2} \)	\( 2^{34} \cdot 3^{17} \cdot 13^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$118.7644973$	$1$		$0$	$880927488$	$4.715439$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$6.51552$	$[1, 1, 0, -15561864087, -736605420884523]$	\(y^2+xy=x^3+x^2-15561864087x-736605420884523\)	156.2.0.?	$[(-23146721687107063383334042658264012055766473142139043746/18026241082738014744528465, 19164665310786625769828534483201257711924983011246520722945216345774988277182641953/18026241082738014744528465)]$
293046.s1	293046s1	293046.s	293046s	$1$	$1$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17^{2} \)	\( 2^{34} \cdot 3^{17} \cdot 13^{9} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$156$	$2$	$0$	$10.78023773$	$1$		$0$	$14975767296$	$6.132042$	$298779371619116129414560801/4874288601508740071424$	$1.06889$	$7.86594$	$[1, 0, 1, -4497378721294, -3618910951154612800]$	\(y^2+xy+y=x^3-4497378721294x-3618910951154612800\)	156.2.0.?	$[(-2058413483/41, 15775828729237/41)]$

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