Elliptic curve search results

Results (16 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
34680.n1	34680k1	34680.n	34680k	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.200368059$	$1$		$22$	$13824$	$0.434082$	$85525504/10125$	$1.07081$	$2.81961$	$[0, -1, 0, -385, 2725]$	\(y^2=x^3-x^2-385x+2725\)	10.2.0.a.1	$[(25, 90), (5, 30)]$
34680.bn1	34680v1	34680.bn	34680v	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.389862498$	$1$		$6$	$235008$	$1.850689$	$85525504/10125$	$1.07081$	$4.44572$	$[0, 1, 0, -111361, 12719939]$	\(y^2=x^3+x^2-111361x+12719939\)	10.2.0.a.1	$[(-193, 5202)]$
69360.h1	69360m1	69360.h	69360m	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$470016$	$1.850689$	$85525504/10125$	$1.07081$	$4.16928$	$[0, -1, 0, -111361, -12719939]$	\(y^2=x^3-x^2-111361x-12719939\)	10.2.0.a.1	$[ ]$
69360.dt1	69360bo1	69360.dt	69360bo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.741959585$	$1$		$2$	$27648$	$0.434082$	$85525504/10125$	$1.07081$	$2.64428$	$[0, 1, 0, -385, -2725]$	\(y^2=x^3+x^2-385x-2725\)	10.2.0.a.1	$[(-10, 15)]$
104040.h1	104040cf1	104040.h	104040cf	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.960985513$	$1$		$2$	$110592$	$0.983388$	$85525504/10125$	$1.07081$	$3.12205$	$[0, 0, 0, -3468, -70108]$	\(y^2=x^3-3468x-70108\)	10.2.0.a.1	$[(-32, 90)]$
104040.cs1	104040db1	104040.cs	104040db	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$3.762521557$	$1$		$2$	$1880064$	$2.399994$	$85525504/10125$	$1.07081$	$4.59353$	$[0, 0, 0, -1002252, -344440604]$	\(y^2=x^3-1002252x-344440604\)	10.2.0.a.1	$[(-688, 4410)]$
173400.p1	173400by1	173400.p	173400by	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$4.892019402$	$1$		$2$	$5640192$	$2.655407$	$85525504/10125$	$1.07081$	$4.65309$	$[0, -1, 0, -2784033, 1595560437]$	\(y^2=x^3-x^2-2784033x+1595560437\)	10.2.0.a.1	$[(-468, 52875)]$
173400.ee1	173400y1	173400.ee	173400y	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.428450406$	$1$		$4$	$331776$	$1.238802$	$85525504/10125$	$1.07081$	$3.24392$	$[0, 1, 0, -9633, 321363]$	\(y^2=x^3+x^2-9633x+321363\)	10.2.0.a.1	$[(-27, 750)]$
208080.ct1	208080gp1	208080.ct	208080gp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.983388$	$85525504/10125$	$1.07081$	$2.94533$	$[0, 0, 0, -3468, 70108]$	\(y^2=x^3-3468x+70108\)	10.2.0.a.1	$[ ]$
208080.es1	208080ep1	208080.es	208080ep	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$3760128$	$2.399994$	$85525504/10125$	$1.07081$	$4.33352$	$[0, 0, 0, -1002252, 344440604]$	\(y^2=x^3-1002252x+344440604\)	10.2.0.a.1	$[ ]$
277440.bu1	277440bu1	277440.bu	277440bu	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.780656$	$85525504/10125$	$1.07081$	$2.68362$	$[0, -1, 0, -1541, -20259]$	\(y^2=x^3-x^2-1541x-20259\)	10.2.0.a.1	$[ ]$
277440.ef1	277440ef1	277440.ef	277440ef	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.599991153$	$1$		$0$	$3760128$	$2.197262$	$85525504/10125$	$1.07081$	$4.03995$	$[0, -1, 0, -445445, 102204957]$	\(y^2=x^3-x^2-445445x+102204957\)	10.2.0.a.1	$[(1061/2, 13005/2)]$
277440.fl1	277440fl1	277440.fl	277440fl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.780656$	$85525504/10125$	$1.07081$	$2.68362$	$[0, 1, 0, -1541, 20259]$	\(y^2=x^3+x^2-1541x+20259\)	10.2.0.a.1	$[ ]$
277440.hv1	277440hv1	277440.hv	277440hv	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.629722392$	$1$		$2$	$3760128$	$2.197262$	$85525504/10125$	$1.07081$	$4.03995$	$[0, 1, 0, -445445, -102204957]$	\(y^2=x^3+x^2-445445x-102204957\)	10.2.0.a.1	$[(-482, 867)]$
346800.bs1	346800bs1	346800.bs	346800bs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.774974182$	$1$		$0$	$663552$	$1.238802$	$85525504/10125$	$1.07081$	$3.06766$	$[0, -1, 0, -9633, -321363]$	\(y^2=x^3-x^2-9633x-321363\)	10.2.0.a.1	$[(-267/2, 1125/2)]$
346800.kf1	346800kf1	346800.kf	346800kf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$13.15637509$	$1$		$0$	$11280384$	$2.655407$	$85525504/10125$	$1.07081$	$4.40025$	$[0, 1, 0, -2784033, -1595560437]$	\(y^2=x^3+x^2-2784033x-1595560437\)	10.2.0.a.1	$[(-3674562/71, 2454583125/71)]$

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