Elliptic curve search results

Results (31 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
1155.b1	1155i1	1155.b	1155i	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 3^{7} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2310$	$2$	$0$	$0.077057682$	$1$		$10$	$336$	$-0.003631$	$-222985990144/841995$	$0.89082$	$3.70638$	$[0, 1, 1, -126, 506]$	\(y^2+y=x^3+x^2-126x+506\)	2310.2.0.?	$[(9, 13)]$
3465.t1	3465o1	3465.t	3465o	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 3^{13} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$7.925749568$	$1$		$0$	$2688$	$0.545674$	$-222985990144/841995$	$0.89082$	$4.01554$	$[0, 0, 1, -1137, -14805]$	\(y^2+y=x^3-1137x-14805\)	2310.2.0.?	$[(8225/2, 745835/2)]$
5775.z1	5775j1	5775.z	5775j	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$2.628473047$	$1$		$0$	$8064$	$0.801087$	$-222985990144/841995$	$0.89082$	$4.13258$	$[0, -1, 1, -3158, 69593]$	\(y^2+y=x^3-x^2-3158x+69593\)	2310.2.0.?	$[(133/2, 121/2)]$
8085.c1	8085m1	8085.c	8085m	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 3^{7} \cdot 5 \cdot 7^{7} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$16128$	$0.969324$	$-222985990144/841995$	$0.89082$	$4.20241$	$[0, -1, 1, -6190, -186012]$	\(y^2+y=x^3-x^2-6190x-186012\)	2310.2.0.?	$[]$
12705.p1	12705l1	12705.p	12705l	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 3^{7} \cdot 5 \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$40320$	$1.195316$	$-222985990144/841995$	$0.89082$	$4.28839$	$[0, 1, 1, -15286, -734915]$	\(y^2+y=x^3+x^2-15286x-734915\)	2310.2.0.?	$[]$
17325.h1	17325bc1	17325.h	17325bc	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 3^{13} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.859785637$	$1$		$4$	$64512$	$1.350393$	$-222985990144/841995$	$0.89082$	$4.34279$	$[0, 0, 1, -28425, -1850594]$	\(y^2+y=x^3-28425x-1850594\)	2310.2.0.?	$[(265, 3037)]$
18480.o1	18480bs1	18480.o	18480bs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$11.16412240$	$1$		$0$	$13440$	$0.689516$	$-222985990144/841995$	$0.89082$	$3.50703$	$[0, -1, 0, -2021, -34419]$	\(y^2=x^3-x^2-2021x-34419\)	2310.2.0.?	$[(48988/29, 5004691/29)]$
24255.bt1	24255bf1	24255.bt	24255bf	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 3^{13} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.007038700$	$1$		$0$	$129024$	$1.518629$	$-222985990144/841995$	$0.89082$	$4.39801$	$[0, 0, 1, -55713, 5078029]$	\(y^2+y=x^3-55713x+5078029\)	2310.2.0.?	$[(217/2, 11903/2)]$
38115.e1	38115bf1	38115.e	38115bf	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 3^{13} \cdot 5 \cdot 7 \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.763429614$	$1$		$2$	$322560$	$1.744623$	$-222985990144/841995$	$0.89082$	$4.46666$	$[0, 0, 1, -137577, 19705122]$	\(y^2+y=x^3-137577x+19705122\)	2310.2.0.?	$[(275, 1633)]$
40425.de1	40425cq1	40425.de	40425cq	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 3^{7} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$387072$	$1.774042$	$-222985990144/841995$	$0.89082$	$4.47516$	$[0, 1, 1, -154758, -23560981]$	\(y^2+y=x^3+x^2-154758x-23560981\)	2310.2.0.?	$[]$
55440.ep1	55440es1	55440.ep	55440es	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$107520$	$1.238821$	$-222985990144/841995$	$0.89082$	$3.75777$	$[0, 0, 0, -18192, 947504]$	\(y^2=x^3-18192x+947504\)	2310.2.0.?	$[]$
63525.a1	63525j1	63525.a	63525j	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$967680$	$2.000034$	$-222985990144/841995$	$0.89082$	$4.53748$	$[0, -1, 1, -382158, -91100032]$	\(y^2+y=x^3-x^2-382158x-91100032\)	2310.2.0.?	$[]$
73920.cn1	73920w1	73920.cn	73920w	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$26880$	$0.342942$	$-222985990144/841995$	$0.89082$	$2.70239$	$[0, -1, 0, -505, 4555]$	\(y^2=x^3-x^2-505x+4555\)	2310.2.0.?	$[]$
73920.ik1	73920ih1	73920.ik	73920ih	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$26880$	$0.342942$	$-222985990144/841995$	$0.89082$	$2.70239$	$[0, 1, 0, -505, -4555]$	\(y^2=x^3+x^2-505x-4555\)	2310.2.0.?	$[]$
88935.cg1	88935bj1	88935.cg	88935bj	$1$	$1$	\( 3 \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5 \cdot 7^{7} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$1935360$	$2.168270$	$-222985990144/841995$	$0.89082$	$4.58067$	$[0, -1, 1, -749030, 250577711]$	\(y^2+y=x^3-x^2-749030x+250577711\)	2310.2.0.?	$[]$
92400.ez1	92400fz1	92400.ez	92400fz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$3.923099875$	$1$		$2$	$322560$	$1.494234$	$-222985990144/841995$	$0.89082$	$3.85794$	$[0, 1, 0, -50533, -4403437]$	\(y^2=x^3+x^2-50533x-4403437\)	2310.2.0.?	$[(518, 10425)]$
121275.c1	121275dm1	121275.c	121275dm	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 3^{13} \cdot 5^{7} \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.550491114$	$1$		$6$	$3096576$	$2.323349$	$-222985990144/841995$	$0.89082$	$4.61827$	$[0, 0, 1, -1392825, 634753656]$	\(y^2+y=x^3-1392825x+634753656\)	2310.2.0.?	$[(560, 5512)]$
129360.go1	129360hf1	129360.go	129360hf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{7} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1.223514532$	$1$		$2$	$645120$	$1.662472$	$-222985990144/841995$	$0.89082$	$3.91918$	$[0, 1, 0, -99045, 12003795]$	\(y^2=x^3+x^2-99045x+12003795\)	2310.2.0.?	$[(198, 441)]$
190575.em1	190575ew1	190575.em	190575ew	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( - 3^{13} \cdot 5^{7} \cdot 7 \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$2.036248289$	$1$		$0$	$7741440$	$2.549343$	$-222985990144/841995$	$0.89082$	$4.66964$	$[0, 0, 1, -3439425, 2463140281]$	\(y^2+y=x^3-3439425x+2463140281\)	2310.2.0.?	$[(20185/4, 735043/4)]$
195195.cf1	195195cc1	195195.cf	195195cc	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( - 3^{7} \cdot 5 \cdot 7 \cdot 11 \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$774144$	$1.278843$	$-222985990144/841995$	$0.89082$	$3.40892$	$[0, 1, 1, -21350, 1197551]$	\(y^2+y=x^3+x^2-21350x+1197551\)	2310.2.0.?	$[]$
203280.v1	203280ef1	203280.v	203280ef	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \)	\( - 2^{12} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 11^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$5.156319747$	$1$		$2$	$1612800$	$1.888464$	$-222985990144/841995$	$0.89082$	$3.99613$	$[0, -1, 0, -244581, 46789965]$	\(y^2=x^3-x^2-244581x+46789965\)	2310.2.0.?	$[(1940, 82885)]$
221760.ct1	221760lq1	221760.ct	221760lq	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{13} \cdot 5 \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$6.552523247$	$1$		$0$	$215040$	$0.892248$	$-222985990144/841995$	$0.89082$	$2.99670$	$[0, 0, 0, -4548, -118438]$	\(y^2=x^3-4548x-118438\)	2310.2.0.?	$[(9667/11, 223317/11)]$
221760.eh1	221760eb1	221760.eh	221760eb	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{13} \cdot 5 \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$215040$	$0.892248$	$-222985990144/841995$	$0.89082$	$2.99670$	$[0, 0, 0, -4548, 118438]$	\(y^2=x^3-4548x+118438\)	2310.2.0.?	$[]$
266805.c1	266805c1	266805.c	266805c	$1$	$1$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{13} \cdot 5 \cdot 7^{7} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$15482880$	$2.717579$	$-222985990144/841995$	$0.89082$	$4.70547$	$[0, 0, 1, -6741273, -6758856932]$	\(y^2+y=x^3-6741273x-6758856932\)	2310.2.0.?	$[]$
277200.fr1	277200fr1	277200.fr	277200fr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 5^{7} \cdot 7 \cdot 11 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$1$	$1$		$0$	$2580480$	$2.043541$	$-222985990144/841995$	$0.89082$	$4.04572$	$[0, 0, 0, -454800, 118438000]$	\(y^2=x^3-454800x+118438000\)	2310.2.0.?	$[]$
333795.c1	333795c1	333795.c	333795c	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 17^{2} \)	\( - 3^{7} \cdot 5 \cdot 7 \cdot 11 \cdot 17^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$4.097388173$	$1$		$2$	$1736448$	$1.412975$	$-222985990144/841995$	$0.89082$	$3.39167$	$[0, -1, 1, -36510, 2706086]$	\(y^2+y=x^3-x^2-36510x+2706086\)	2310.2.0.?	$[(107, 114)]$
369600.dz1	369600dz1	369600.dz	369600dz	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$5.684160084$	$1$		$0$	$645120$	$1.147661$	$-222985990144/841995$	$0.89082$	$3.11637$	$[0, -1, 0, -12633, -544113]$	\(y^2=x^3-x^2-12633x-544113\)	2310.2.0.?	$[(1618/3, 46475/3)]$
369600.rt1	369600rt1	369600.rt	369600rt	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( - 2^{6} \cdot 3^{7} \cdot 5^{7} \cdot 7 \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.390243667$	$1$		$4$	$645120$	$1.147661$	$-222985990144/841995$	$0.89082$	$3.11637$	$[0, 1, 0, -12633, 544113]$	\(y^2=x^3+x^2-12633x+544113\)	2310.2.0.?	$[(48, 225)]$
388080.gl1	388080gl1	388080.gl	388080gl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{12} \cdot 3^{13} \cdot 5 \cdot 7^{7} \cdot 11 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$21.90496945$	$1$		$0$	$5160960$	$2.211777$	$-222985990144/841995$	$0.89082$	$4.09682$	$[0, 0, 0, -891408, -324993872]$	\(y^2=x^3-891408x-324993872\)	2310.2.0.?	$[(65714404049/2243, 16800472310298327/2243)]$
416955.cj1	416955cj1	416955.cj	416955cj	$1$	$1$	\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \)	\( - 3^{7} \cdot 5 \cdot 7 \cdot 11 \cdot 19^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$80.30554841$	$1$		$0$	$2122848$	$1.468588$	$-222985990144/841995$	$0.89082$	$3.38493$	$[0, -1, 1, -45606, -3745753]$	\(y^2+y=x^3-x^2-45606x-3745753\)	2310.2.0.?	$[(54386865621812374761251091782473493/13007674707650006, 8438019324450920488959212560130553110484519192349081/13007674707650006)]$
444675.bd1	444675bd1	444675.bd	444675bd	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	\( - 3^{7} \cdot 5^{7} \cdot 7^{7} \cdot 11^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2310$	$2$	$0$	$0.157347506$	$1$		$32$	$46448640$	$2.972992$	$-222985990144/841995$	$0.89082$	$4.75631$	$[0, 1, 1, -18725758, 31284762394]$	\(y^2+y=x^3+x^2-18725758x+31284762394\)	2310.2.0.?	$[(2207, 26680), (4748, 222337)]$

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