Elliptic curve search results

Results (18 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
12138.s1	12138t1	12138.s	12138t	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$73440$	$1.523176$	$-83521/95256$	$1.18021$	$4.42204$	$[1, 1, 1, -1740, 1239813]$	\(y^2+xy+y=x^3+x^2-1740x+1239813\)	24.2.0.b.1	$[ ]$
12138.y1	12138v1	12138.y	12138v	$1$	$1$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.155589396$	$1$		$6$	$4320$	$0.106570$	$-83521/95256$	$1.18021$	$2.61439$	$[1, 0, 0, -6, 252]$	\(y^2+xy=x^3-6x+252\)	24.2.0.b.1	$[(6, 18)]$
36414.u1	36414bm1	36414.u	36414bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$587520$	$2.072483$	$-83521/95256$	$1.18021$	$4.58710$	$[1, -1, 0, -15660, -33490616]$	\(y^2+xy=x^3-x^2-15660x-33490616\)	24.2.0.b.1	$[ ]$
36414.ba1	36414q1	36414.ba	36414q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 7^{2} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.527934630$	$1$		$10$	$34560$	$0.655876$	$-83521/95256$	$1.18021$	$2.96853$	$[1, -1, 0, -54, -6804]$	\(y^2+xy=x^3-x^2-54x-6804\)	24.2.0.b.1	$[(45, 261), (99/2, 549/2)]$
84966.dc1	84966cs1	84966.dc	84966cs	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 7^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.553859717$	$1$		$2$	$207360$	$1.079525$	$-83521/95256$	$1.18021$	$3.19484$	$[1, 1, 1, -295, -86731]$	\(y^2+xy+y=x^3+x^2-295x-86731\)	24.2.0.b.1	$[(349, 6342)]$
84966.dt1	84966ec1	84966.dt	84966ec	$1$	$1$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 7^{8} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$0.708345151$	$1$		$4$	$3525120$	$2.496132$	$-83521/95256$	$1.18021$	$4.69257$	$[1, 0, 0, -85261, -425511703]$	\(y^2+xy=x^3-85261x-425511703\)	24.2.0.b.1	$[(9272, 887507)]$
97104.p1	97104by1	97104.p	97104by	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{15} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.028502234$	$1$		$4$	$103680$	$0.799717$	$-83521/95256$	$1.18021$	$2.86530$	$[0, -1, 0, -96, -16128]$	\(y^2=x^3-x^2-96x-16128\)	24.2.0.b.1	$[(32, 112)]$
97104.cm1	97104cm1	97104.cm	97104cm	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{15} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$1762560$	$2.216324$	$-83521/95256$	$1.18021$	$4.34561$	$[0, 1, 0, -27840, -79403724]$	\(y^2=x^3+x^2-27840x-79403724\)	24.2.0.b.1	$[ ]$
254898.bd1	254898bd1	254898.bd	254898bd	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 7^{8} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.339507219$	$1$		$4$	$1658880$	$1.628832$	$-83521/95256$	$1.18021$	$3.44240$	$[1, -1, 0, -2655, 2339077]$	\(y^2+xy=x^3-x^2-2655x+2339077\)	24.2.0.b.1	$[(-19, 1553)]$
254898.cu1	254898cu1	254898.cu	254898cu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{11} \cdot 7^{8} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$28200960$	$3.045437$	$-83521/95256$	$1.18021$	$4.80795$	$[1, -1, 0, -767349, 11488815981]$	\(y^2+xy=x^3-x^2-767349x+11488815981\)	24.2.0.b.1	$[ ]$
291312.by1	291312by1	291312.by	291312by	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{15} \cdot 3^{11} \cdot 7^{2} \cdot 17^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.099520642$	$1$		$12$	$14100480$	$2.765629$	$-83521/95256$	$1.18021$	$4.49007$	$[0, 0, 0, -250563, 2143649986]$	\(y^2=x^3-250563x+2143649986\)	24.2.0.b.1	$[(-289, 46818), (4335, 287266)]$
291312.eg1	291312eg1	291312.eg	291312eg	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{15} \cdot 3^{11} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.349024$	$-83521/95256$	$1.18021$	$3.13900$	$[0, 0, 0, -867, 436322]$	\(y^2=x^3-867x+436322\)	24.2.0.b.1	$[ ]$
303450.bs1	303450bs1	303450.bs	303450bs	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$604800$	$0.911288$	$-83521/95256$	$1.18021$	$2.71272$	$[1, 1, 0, -150, 31500]$	\(y^2+xy=x^3+x^2-150x+31500\)	24.2.0.b.1	$[ ]$
303450.bu1	303450bu1	303450.bu	303450bu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{5} \cdot 5^{6} \cdot 7^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1.229268127$	$1$		$4$	$10281600$	$2.327896$	$-83521/95256$	$1.18021$	$4.05942$	$[1, 0, 1, -43501, 155063648]$	\(y^2+xy+y=x^3-43501x+155063648\)	24.2.0.b.1	$[(-554, 3311)]$
388416.bk1	388416bk1	388416.bk	388416bk	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{21} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$6.989233415$	$1$		$2$	$14100480$	$2.562897$	$-83521/95256$	$1.18021$	$4.20067$	$[0, -1, 0, -111361, -635118431]$	\(y^2=x^3-x^2-111361x-635118431\)	24.2.0.b.1	$[(2288, 105273)]$
388416.cl1	388416cl1	388416.cl	388416cl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{21} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$2.821647959$	$1$		$2$	$829440$	$1.146290$	$-83521/95256$	$1.18021$	$2.87981$	$[0, -1, 0, -385, 129409]$	\(y^2=x^3-x^2-385x+129409\)	24.2.0.b.1	$[(-49, 168)]$
388416.gb1	388416gb1	388416.gb	388416gb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{21} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$14100480$	$2.562897$	$-83521/95256$	$1.18021$	$4.20067$	$[0, 1, 0, -111361, 635118431]$	\(y^2=x^3+x^2-111361x+635118431\)	24.2.0.b.1	$[ ]$
388416.he1	388416he1	388416.he	388416he	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \)	\( - 2^{21} \cdot 3^{5} \cdot 7^{2} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$24$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.146290$	$-83521/95256$	$1.18021$	$2.87981$	$[0, 1, 0, -385, -129409]$	\(y^2=x^3+x^2-385x-129409\)	24.2.0.b.1	$[ ]$

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