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
124950.k1	124950cf2	124950.k	124950cf	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1428$	$16$	$0$	$0.188796896$	$1$		$20$	$217728$	$0.993664$	$-1665063952825/2829888$	$0.94092$	$3.27833$	$[1, 1, 0, -7725, 258525]$	\(y^2+xy=x^3+x^2-7725x+258525\)	3.4.0.a.1, 21.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1428.16.0.?	$[(66, 171), (15, 375)]$
124950.ct1	124950dk2	124950.ct	124950dk	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$204$	$16$	$0$	$5.961908615$	$1$		$2$	$1524096$	$1.966619$	$-1665063952825/2829888$	$0.94092$	$4.27320$	$[1, 0, 1, -378551, -89809702]$	\(y^2+xy+y=x^3-378551x-89809702\)	3.8.0-3.a.1.1, 68.2.0.a.1, 204.16.0.?	$[(743, 5892)]$
124950.ex1	124950eo2	124950.ex	124950eo	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{8} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1020$	$16$	$0$	$5.225919985$	$1$		$2$	$7620480$	$2.771339$	$-1665063952825/2829888$	$0.94092$	$5.09604$	$[1, 1, 1, -9463763, -11226212719]$	\(y^2+xy+y=x^3+x^2-9463763x-11226212719\)	3.4.0.a.1, 15.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1020.16.0.?	$[(3591, 31558)]$
124950.hn1	124950hn2	124950.hn	124950hn	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{2} \cdot 5^{10} \cdot 7^{2} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7140$	$16$	$0$	$1$	$1$		$0$	$1088640$	$1.798384$	$-1665063952825/2829888$	$0.94092$	$4.10117$	$[1, 0, 0, -193138, 32701892]$	\(y^2+xy=x^3-193138x+32701892\)	3.4.0.a.1, 68.2.0.a.1, 105.8.0.?, 204.8.0.?, 7140.16.0.?	$[ ]$
374850.gd1	374850gd2	374850.gd	374850gd	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{10} \cdot 7^{8} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1020$	$16$	$0$	$1$	$1$		$0$	$60963840$	$3.320644$	$-1665063952825/2829888$	$0.94092$	$5.17342$	$[1, -1, 0, -85173867, 303022569541]$	\(y^2+xy=x^3-x^2-85173867x+303022569541\)	3.4.0.a.1, 15.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1020.16.0.?	$[ ]$
374850.gl1	374850gl2	374850.gl	374850gl	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{10} \cdot 7^{2} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7140$	$16$	$0$	$1$	$1$		$0$	$8709120$	$2.347691$	$-1665063952825/2829888$	$0.94092$	$4.26371$	$[1, -1, 0, -1738242, -882951084]$	\(y^2+xy=x^3-x^2-1738242x-882951084\)	3.4.0.a.1, 68.2.0.a.1, 105.8.0.?, 204.8.0.?, 7140.16.0.?	$[ ]$
374850.nq1	374850nq2	374850.nq	374850nq	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1428$	$16$	$0$	$3.437127613$	$1$		$2$	$1741824$	$1.542971$	$-1665063952825/2829888$	$0.94092$	$3.51130$	$[1, -1, 1, -69530, -7049703]$	\(y^2+xy+y=x^3-x^2-69530x-7049703\)	3.4.0.a.1, 21.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1428.16.0.?	$[(305, 63)]$
374850.oe1	374850oe2	374850.oe	374850oe	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 7^{8} \cdot 17^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$204$	$16$	$0$	$0.981553182$	$1$		$10$	$12192768$	$2.515926$	$-1665063952825/2829888$	$0.94092$	$4.42101$	$[1, -1, 1, -3406955, 2424861947]$	\(y^2+xy+y=x^3-x^2-3406955x+2424861947\)	3.8.0-3.a.1.2, 68.2.0.a.1, 204.16.0.?	$[(1089, 1750)]$

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