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
6774.c2	6774c2	6774.c	6774c	$2$	$2$	\( 2 \cdot 3 \cdot 1129 \)	\( - 2^{2} \cdot 3 \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$13548$	$12$	$0$	$2.624655435$	$1$		$2$	$1536$	$0.062928$	$7335308807/15295692$	$0.85011$	$2.68372$	$[1, 1, 0, 41, -143]$	\(y^2+xy=x^3+x^2+41x-143\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(9, 28)]$
20322.d2	20322f2	20322.d	20322f	$2$	$2$	\( 2 \cdot 3^{2} \cdot 1129 \)	\( - 2^{2} \cdot 3^{7} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$1.789742493$	$1$		$4$	$12288$	$0.612234$	$7335308807/15295692$	$0.85011$	$3.05101$	$[1, -1, 1, 364, 4227]$	\(y^2+xy+y=x^3-x^2+364x+4227\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(-7, 39)]$
54192.bc2	54192bd2	54192.bc	54192bd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 1129 \)	\( - 2^{14} \cdot 3 \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$5.835194201$	$1$		$1$	$36864$	$0.756076$	$7335308807/15295692$	$0.85011$	$2.93483$	$[0, 1, 0, 648, 10452]$	\(y^2=x^3+x^2+648x+10452\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(508/3, 12950/3)]$
162576.h2	162576f2	162576.h	162576f	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 1129 \)	\( - 2^{14} \cdot 3^{7} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$3.942921328$	$1$		$3$	$294912$	$1.305382$	$7335308807/15295692$	$0.85011$	$3.21548$	$[0, 0, 0, 5829, -276374]$	\(y^2=x^3+5829x-276374\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(263, 4410)]$
169350.ba2	169350f2	169350.ba	169350f	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 1129 \)	\( - 2^{2} \cdot 3 \cdot 5^{6} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$3.731467247$	$4$	$2$	$2$	$196608$	$0.867647$	$7335308807/15295692$	$0.85011$	$2.76828$	$[1, 0, 0, 1012, -19908]$	\(y^2+xy=x^3+1012x-19908\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(36, 234)]$
216768.k2	216768bb2	216768.k	216768bb	$2$	$2$	\( 2^{6} \cdot 3 \cdot 1129 \)	\( - 2^{20} \cdot 3 \cdot 1129^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$1$	$4$	$2$	$1$	$294912$	$1.102650$	$7335308807/15295692$	$0.85011$	$2.94218$	$[0, -1, 0, 2591, 81025]$	\(y^2=x^3-x^2+2591x+81025\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[ ]$
216768.bu2	216768br2	216768.bu	216768br	$2$	$2$	\( 2^{6} \cdot 3 \cdot 1129 \)	\( - 2^{20} \cdot 3 \cdot 1129^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$37.55091449$	$1$		$3$	$294912$	$1.102650$	$7335308807/15295692$	$0.85011$	$2.94218$	$[0, 1, 0, 2591, -81025]$	\(y^2=x^3+x^2+2591x-81025\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(241/3, 2456/3), (754, 20763)]$
331926.l2	331926l2	331926.l	331926l	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 1129 \)	\( - 2^{2} \cdot 3 \cdot 7^{6} \cdot 1129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$13548$	$12$	$0$	$2.863758522$	$1$		$2$	$589824$	$1.035883$	$7335308807/15295692$	$0.85011$	$2.78055$	$[1, 0, 1, 1983, 55024]$	\(y^2+xy+y=x^3+1983x+55024\)	2.3.0.a.1, 6.6.0.a.1, 4516.6.0.?, 13548.12.0.?	$[(88, 911)]$

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