Elliptic curve search results

Results (12 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
5010.h1	5010h2	5010.h	5010h	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 167 \)	\( - 2 \cdot 3 \cdot 5 \cdot 167^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$140280$	$96$	$2$	$1$	$49$	$7$	$0$	$65856$	$2.065693$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.89163$	$1$	$[1, 0, 0, -380530, -91764010]$	\(y^2+xy=x^3-380530x-91764010\)	7.48.0-7.a.2.2, 20040.2.0.?, 140280.96.2.?	$[ ]$	$1$
15030.b1	15030d2	15030.b	15030d	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2 \cdot 3^{7} \cdot 5 \cdot 167^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$0.629799982$	$1$		$0$	$526848$	$2.614998$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.90401$	$1$	$[1, -1, 0, -3424770, 2477628270]$	\(y^2+xy=x^3-x^2-3424770x+2477628270\)	7.24.0.a.2, 21.48.0-7.a.2.2, 20040.2.0.?, 46760.48.0.?, 140280.96.2.?	$[(11379/2, 992625/2)]$	$1$
25050.b1	25050b2	25050.b	25050b	$2$	$7$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3 \cdot 5^{7} \cdot 167^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$1$	$1$		$0$	$1580544$	$2.870411$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.90885$	$1$	$[1, 1, 0, -9513250, -11470501250]$	\(y^2+xy=x^3+x^2-9513250x-11470501250\)	7.24.0.a.2, 35.48.0-7.a.2.1, 20040.2.0.?, 28056.48.0.?, 140280.96.2.?	$[ ]$	$1$
40080.o1	40080w2	40080.o	40080w	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{13} \cdot 3 \cdot 5 \cdot 167^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$1$	$1$		$0$	$1580544$	$2.758839$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.52049$	$1$	$[0, -1, 0, -6088480, 5872896640]$	\(y^2=x^3-x^2-6088480x+5872896640\)	7.24.0.a.2, 28.48.0-7.a.2.1, 20040.2.0.?, 140280.96.2.?	$[ ]$	$1$
75150.bh1	75150bi2	75150.bh	75150bi	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2 \cdot 3^{7} \cdot 5^{7} \cdot 167^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$15.29975704$	$1$		$0$	$12644352$	$3.419720$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.91777$	$1$	$[1, -1, 1, -85619255, 309617914497]$	\(y^2+xy+y=x^3-x^2-85619255x+309617914497\)	7.24.0.a.2, 105.48.0.?, 9352.48.0.?, 20040.2.0.?, 140280.96.2.?	$[(-21069141/46, 41189866875/46)]$	$1$
120240.n1	120240by2	120240.n	120240by	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{13} \cdot 3^{7} \cdot 5 \cdot 167^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$23.35812758$	$1$		$0$	$12644352$	$3.308147$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.56553$	$1$	$[0, 0, 0, -54796323, -158513412958]$	\(y^2=x^3-54796323x-158513412958\)	7.24.0.a.2, 84.48.0.?, 20040.2.0.?, 46760.48.0.?, 140280.96.2.?	$[(152573450329/3289, 48710566870888248/3289)]$	$1$
160320.m1	160320cy2	160320.m	160320cy	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3 \cdot 5 \cdot 167^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$48.51237286$	$1$		$0$	$12644352$	$3.105415$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.22895$	$1$	$[0, -1, 0, -24353921, -46958819199]$	\(y^2=x^3-x^2-24353921x-46958819199\)	7.24.0.a.2, 56.48.0-7.a.2.1, 20040.2.0.?, 70140.48.0.?, 140280.96.2.?	$[(11116898897587723872865/95652319, 1172119031209478388148138261611104/95652319)]$	$1$
160320.bs1	160320q2	160320.bs	160320q	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3 \cdot 5 \cdot 167^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$1$	$1$		$0$	$12644352$	$3.105415$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.22895$	$1$	$[0, 1, 0, -24353921, 46958819199]$	\(y^2=x^3+x^2-24353921x+46958819199\)	7.24.0.a.2, 56.48.0-7.a.2.2, 20040.2.0.?, 35070.48.0.?, 140280.96.2.?	$[ ]$	$1$
200400.cr1	200400t2	200400.cr	200400t	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{13} \cdot 3 \cdot 5^{7} \cdot 167^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$16.93669409$	$1$		$0$	$37933056$	$3.563560$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.58371$	$1$	$[0, 1, 0, -152212008, 733807655988]$	\(y^2=x^3+x^2-152212008x+733807655988\)	7.24.0.a.2, 140.48.0.?, 20040.2.0.?, 28056.48.0.?, 140280.96.2.?	$[(-82586698/203, 8493317043000/203)]$	$1$
245490.bh1	245490bh2	245490.bh	245490bh	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( - 2 \cdot 3 \cdot 5 \cdot 7^{6} \cdot 167^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.2	7B.1.4	$140280$	$96$	$2$	$1$	$1$		$0$	$24893568$	$3.038647$	$-6093832136609347161121/108676727597808690$	$0.99714$	$4.98488$	$1$	$[1, 1, 1, -18645971, 31456409459]$	\(y^2+xy+y=x^3+x^2-18645971x+31456409459\)	7.48.0-7.a.2.1, 20040.2.0.?, 140280.96.2.?	$[ ]$	$1$
480960.eq1	480960eq2	480960.eq	480960eq	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{7} \cdot 5 \cdot 167^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$57.92650419$	$1$		$4$	$101154816$	$3.654720$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.29369$	$1$	$[0, 0, 0, -219185292, -1268107303664]$	\(y^2=x^3-219185292x-1268107303664\)	7.24.0.a.2, 168.48.0.?, 11690.48.0.?, 20040.2.0.?, 140280.96.2.?	$[(18050, 810144), (157890, 62451616)]$	$1$
480960.fb1	480960fb2	480960.fb	480960fb	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{7} \cdot 5 \cdot 167^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.2	7B.6.3	$140280$	$96$	$2$	$1$	$1$		$0$	$101154816$	$3.654720$	$-6093832136609347161121/108676727597808690$	$0.99714$	$5.29369$	$1$	$[0, 0, 0, -219185292, 1268107303664]$	\(y^2=x^3-219185292x+1268107303664\)	7.24.0.a.2, 168.48.0.?, 20040.2.0.?, 23380.48.0.?, 140280.96.2.?	$[ ]$	$1$

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