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.e1	22542d1	22542.e	22542d	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{19} \cdot 13^{5} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$2674440$	$3.065639$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$6.21379$	$[1, 1, 0, -21441400, 38697462592]$	\(y^2+xy=x^3+x^2-21441400x+38697462592\)	312.2.0.?	$[ ]$
22542.m1	22542q1	22542.m	22542q	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{19} \cdot 13^{5} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$45465480$	$4.482246$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$7.90980$	$[1, 0, 1, -6196564751, 190164009667394]$	\(y^2+xy+y=x^3-6196564751x+190164009667394\)	312.2.0.?	$[ ]$
67626.bb1	67626ba1	67626.bb	67626ba	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{25} \cdot 13^{5} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$21395520$	$3.614948$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$6.19267$	$[1, -1, 1, -192972605, -1045024462587]$	\(y^2+xy+y=x^3-x^2-192972605x-1045024462587\)	312.2.0.?	$[ ]$
67626.be1	67626bk1	67626.be	67626bk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{25} \cdot 13^{5} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$2.370546057$	$1$		$2$	$363723840$	$5.031555$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$7.72115$	$[1, -1, 1, -55769082755, -5134428261019645]$	\(y^2+xy+y=x^3-x^2-55769082755x-5134428261019645\)	312.2.0.?	$[(31053267, 173025205906)]$
180336.p1	180336bg1	180336.p	180336bg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{29} \cdot 3^{19} \cdot 13^{5} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$1091171520$	$5.175392$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$7.23802$	$[0, -1, 0, -99145036008, -12170496618713232]$	\(y^2=x^3-x^2-99145036008x-12170496618713232\)	312.2.0.?	$[ ]$
180336.cr1	180336p1	180336.cr	180336p	$1$	$1$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{29} \cdot 3^{19} \cdot 13^{5} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$64186560$	$3.758789$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$5.83342$	$[0, 1, 0, -343062408, -2477323730700]$	\(y^2=x^3+x^2-343062408x-2477323730700\)	312.2.0.?	$[ ]$
293046.bq1	293046bq1	293046.bq	293046bq	$1$	$1$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{19} \cdot 13^{11} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$449305920$	$4.348114$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$6.17023$	$[1, 1, 1, -3623596688, 85036443297905]$	\(y^2+xy+y=x^3+x^2-3623596688x+85036443297905\)	312.2.0.?	$[ ]$
293046.cn1	293046cn1	293046.cn	293046cn	$1$	$1$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{19} \cdot 13^{11} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$312$	$2$	$0$	$1$	$1$		$0$	$7638200640$	$5.764725$	$-3772118414306118217515625/56562751486929272832$	$1.09281$	$7.52066$	$[1, 0, 0, -1047219442838, 417791376458708004]$	\(y^2+xy=x^3-1047219442838x+417791376458708004\)	312.2.0.?	$[ ]$

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