Elliptic curve search results

Results (14 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
19110.ch1	19110ce1	19110.ch	19110ce	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{17} \cdot 5 \cdot 7^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$27.64310587$	$1$		$0$	$2056320$	$3.058186$	$-28253264609835195889/4297784624640$	$1.06658$	$6.51728$	$[1, 1, 1, -41633390, -103428611413]$	\(y^2+xy+y=x^3+x^2-41633390x-103428611413\)	1560.2.0.?	$[(3632491331465/17107, 5660243766645802909/17107)]$
19110.ct1	19110cj1	19110.ct	19110cj	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{17} \cdot 5 \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$0.148226725$	$1$		$10$	$293760$	$2.085228$	$-28253264609835195889/4297784624640$	$1.06658$	$5.33291$	$[1, 0, 0, -849661, 301419761]$	\(y^2+xy=x^3-849661x+301419761\)	1560.2.0.?	$[(638, 4055)]$
57330.l1	57330bm1	57330.l	57330bm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{23} \cdot 5 \cdot 7^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$16450560$	$3.607491$	$-28253264609835195889/4297784624640$	$1.06658$	$6.46541$	$[1, -1, 0, -374700510, 2792197807636]$	\(y^2+xy=x^3-x^2-374700510x+2792197807636\)	1560.2.0.?	$[ ]$
57330.ca1	57330bw1	57330.ca	57330bw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{23} \cdot 5 \cdot 7^{4} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$57.38909103$	$1$		$0$	$2350080$	$2.634537$	$-28253264609835195889/4297784624640$	$1.06658$	$5.39980$	$[1, -1, 0, -7646949, -8138333547]$	\(y^2+xy=x^3-x^2-7646949x-8138333547\)	1560.2.0.?	$[(16882277392059819386028009/72054151789, 13241388454309394811902162584933816155/72054151789)]$
95550.cf1	95550h1	95550.cf	95550h	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{17} \cdot 5^{7} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$7050240$	$2.889950$	$-28253264609835195889/4297784624640$	$1.06658$	$5.42653$	$[1, 1, 0, -21241525, 37677470125]$	\(y^2+xy=x^3+x^2-21241525x+37677470125\)	1560.2.0.?	$[ ]$
95550.fb1	95550du1	95550.fb	95550du	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{17} \cdot 5^{7} \cdot 7^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$13.04911567$	$1$		$0$	$49351680$	$3.862904$	$-28253264609835195889/4297784624640$	$1.06658$	$6.44468$	$[1, 0, 1, -1040834751, -12926494757102]$	\(y^2+xy+y=x^3-1040834751x-12926494757102\)	1560.2.0.?	$[(34154318/7, 199266386703/7)]$
152880.w1	152880fe1	152880.w	152880fe	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{17} \cdot 5 \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$7050240$	$2.778378$	$-28253264609835195889/4297784624640$	$1.06658$	$5.10072$	$[0, -1, 0, -13594576, -19290864704]$	\(y^2=x^3-x^2-13594576x-19290864704\)	1560.2.0.?	$[ ]$
152880.gv1	152880k1	152880.gv	152880k	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{17} \cdot 5 \cdot 7^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$49351680$	$3.751331$	$-28253264609835195889/4297784624640$	$1.06658$	$6.07878$	$[0, 1, 0, -666134240, 6618098861940]$	\(y^2=x^3+x^2-666134240x+6618098861940\)	1560.2.0.?	$[ ]$
248430.l1	248430l1	248430.l	248430l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{17} \cdot 5 \cdot 7^{10} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$25$	$5$	$0$	$345461760$	$4.340660$	$-28253264609835195889/4297784624640$	$1.06658$	$6.41048$	$[1, 1, 0, -7036042913, -227197479059403]$	\(y^2+xy=x^3+x^2-7036042913x-227197479059403\)	1560.2.0.?	$[ ]$
248430.ei1	248430ei1	248430.ei	248430ei	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( - 2^{9} \cdot 3^{17} \cdot 5 \cdot 7^{4} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$0.525365991$	$1$		$4$	$49351680$	$3.367702$	$-28253264609835195889/4297784624640$	$1.06658$	$5.47064$	$[1, 0, 1, -143592713, 662362807628]$	\(y^2+xy+y=x^3-143592713x+662362807628\)	1560.2.0.?	$[(7242, 44290)]$
286650.le1	286650le1	286650.le	286650le	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{23} \cdot 5^{7} \cdot 7^{10} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$394813440$	$4.412209$	$-28253264609835195889/4297784624640$	$1.06658$	$6.40580$	$[1, -1, 1, -9367512755, 349015358441747]$	\(y^2+xy+y=x^3-x^2-9367512755x+349015358441747\)	1560.2.0.?	$[ ]$
286650.lj1	286650lj1	286650.lj	286650lj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{9} \cdot 3^{23} \cdot 5^{7} \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$56401920$	$3.439255$	$-28253264609835195889/4297784624640$	$1.06658$	$5.47667$	$[1, -1, 1, -191173730, -1017482867103]$	\(y^2+xy+y=x^3-x^2-191173730x-1017482867103\)	1560.2.0.?	$[ ]$
458640.ev1	458640ev1	458640.ev	458640ev	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{23} \cdot 5 \cdot 7^{10} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$247.4278407$	$1$		$0$	$394813440$	$4.300636$	$-28253264609835195889/4297784624640$	$1.06658$	$6.07214$	$[0, 0, 0, -5995208163, -178694664480542]$	\(y^2=x^3-5995208163x-178694664480542\)	1560.2.0.?	$[(1282391964443798766926645716347592488047828257343791397647810078432671553771086235980236046023844599110475231/3116934217445644254266604860161877124635054118864739, 1104266837402046316708445519697320371386779990609020924021607944862213617640405528742239852619187807941800807008910915530238029432436378422820571956679539038135734/3116934217445644254266604860161877124635054118864739)]$
458640.mh1	458640mh1	458640.mh	458640mh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( - 2^{21} \cdot 3^{23} \cdot 5 \cdot 7^{4} \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1560$	$2$	$0$	$1$	$1$		$0$	$56401920$	$3.327682$	$-28253264609835195889/4297784624640$	$1.06658$	$5.17651$	$[0, 0, 0, -122351187, 520975698194]$	\(y^2=x^3-122351187x+520975698194\)	1560.2.0.?	$[ ]$

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