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
42900.h1	42900q2	42900.h	42900q	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 11^{3} \cdot 13^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.261929028$	$1$		$21$	$147456$	$1.484625$	$190062137800208/3079189971$	$0.92255$	$4.05488$	$[0, -1, 0, -38028, -2801448]$	\(y^2=x^3-x^2-38028x-2801448\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(-114, 198), (282, 2970)]$
42900.bn1	42900bt2	42900.bn	42900bt	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 11^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$737280$	$2.289345$	$190062137800208/3079189971$	$0.92255$	$4.96019$	$[0, 1, 0, -950708, -352082412]$	\(y^2=x^3+x^2-950708x-352082412\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
128700.m1	128700bi2	128700.m	128700bi	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{3} \cdot 11^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$1179648$	$2.033932$	$190062137800208/3079189971$	$0.92255$	$4.23651$	$[0, 0, 0, -342255, 75981350]$	\(y^2=x^3-342255x+75981350\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
128700.bq1	128700bq2	128700.bq	128700bq	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{9} \cdot 11^{3} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.122581712$	$1$		$5$	$5898240$	$2.838650$	$190062137800208/3079189971$	$0.92255$	$5.05728$	$[0, 0, 0, -8556375, 9497668750]$	\(y^2=x^3-8556375x+9497668750\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(1499, 6318)]$
171600.bf1	171600ct2	171600.bf	171600ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 11^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$2949120$	$2.289345$	$190062137800208/3079189971$	$0.92255$	$4.38968$	$[0, -1, 0, -950708, 352082412]$	\(y^2=x^3-x^2-950708x+352082412\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
171600.gv1	171600u2	171600.gv	171600u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 11^{3} \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.484625$	$190062137800208/3079189971$	$0.92255$	$3.58850$	$[0, 1, 0, -38028, 2801448]$	\(y^2=x^3+x^2-38028x+2801448\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[ ]$
471900.cd1	471900cd2	471900.cd	471900cd	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 11^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$3.069310927$	$1$		$3$	$17694720$	$2.683571$	$190062137800208/3079189971$	$0.92255$	$4.41189$	$[0, -1, 0, -4601428, 3747132952]$	\(y^2=x^3-x^2-4601428x+3747132952\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(653, 31944)]$
471900.dk1	471900dk2	471900.dk	471900dk	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 11^{9} \cdot 13^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.810663660$	$1$		$5$	$88473600$	$3.488293$	$190062137800208/3079189971$	$0.92255$	$5.15104$	$[0, 1, 0, -115035708, 468161547588]$	\(y^2=x^3+x^2-115035708x+468161547588\)	2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.?	$[(1932, 503118)]$

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