Elliptic curve search results

Results (14 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
2686.d1	2686d2	2686.d	2686d	$2$	$2$	\( 2 \cdot 17 \cdot 79 \)	\( 2^{11} \cdot 17^{2} \cdot 79^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$136$	$12$	$0$	$0.381605036$	$1$		$4$	$10560$	$1.302992$	$250505699702316625/23053462341632$	$0.99294$	$5.07386$		$[1, 1, 1, -13133, 525763]$	\(y^2+xy+y=x^3+x^2-13133x+525763\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(-97, 996)]$	$1$
21488.b1	21488f2	21488.b	21488f	$2$	$2$	\( 2^{4} \cdot 17 \cdot 79 \)	\( 2^{23} \cdot 17^{2} \cdot 79^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$1$	$253440$	$1.996138$	$250505699702316625/23053462341632$	$0.99294$	$4.85001$		$[0, 1, 0, -210128, -34069100]$	\(y^2=x^3+x^2-210128x-34069100\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
24174.e1	24174e2	24174.e	24174e	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17 \cdot 79 \)	\( 2^{11} \cdot 3^{6} \cdot 17^{2} \cdot 79^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$0$	$253440$	$1.852297$	$250505699702316625/23053462341632$	$0.99294$	$4.62239$		$[1, -1, 0, -118197, -14313803]$	\(y^2+xy=x^3-x^2-118197x-14313803\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
45662.l1	45662m2	45662.l	45662m	$2$	$2$	\( 2 \cdot 17^{2} \cdot 79 \)	\( 2^{11} \cdot 17^{8} \cdot 79^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$0$	$3041280$	$2.719597$	$250505699702316625/23053462341632$	$0.99294$	$5.31843$		$[1, 0, 0, -3795443, 2609642593]$	\(y^2+xy=x^3-3795443x+2609642593\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
67150.d1	67150g2	67150.d	67150g	$2$	$2$	\( 2 \cdot 5^{2} \cdot 17 \cdot 79 \)	\( 2^{11} \cdot 5^{6} \cdot 17^{2} \cdot 79^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$3.554354426$	$1$		$2$	$1520640$	$2.107712$	$250505699702316625/23053462341632$	$0.99294$	$4.47326$		$[1, 0, 1, -328326, 66377048]$	\(y^2+xy+y=x^3-328326x+66377048\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(-562, 8852)]$	$1$
85952.d1	85952g2	85952.d	85952g	$2$	$2$	\( 2^{6} \cdot 17 \cdot 79 \)	\( 2^{29} \cdot 17^{2} \cdot 79^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$3.949911953$	$1$		$9$	$2027520$	$2.342712$	$250505699702316625/23053462341632$	$0.99294$	$4.62428$		$[0, 1, 0, -840513, 271712287]$	\(y^2=x^3+x^2-840513x+271712287\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(-1901/3, 566272/3), (333, 5372)]$	$1$
85952.t1	85952p2	85952.t	85952p	$2$	$2$	\( 2^{6} \cdot 17 \cdot 79 \)	\( 2^{29} \cdot 17^{2} \cdot 79^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$9$	$3$	$1$	$2027520$	$2.342712$	$250505699702316625/23053462341632$	$0.99294$	$4.62428$		$[0, -1, 0, -840513, -271712287]$	\(y^2=x^3-x^2-840513x-271712287\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
131614.h1	131614c2	131614.h	131614c	$2$	$2$	\( 2 \cdot 7^{2} \cdot 17 \cdot 79 \)	\( 2^{11} \cdot 7^{6} \cdot 17^{2} \cdot 79^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$0.443332919$	$1$		$10$	$3041280$	$2.275948$	$250505699702316625/23053462341632$	$0.99294$	$4.38915$		$[1, 0, 0, -643518, -182267324]$	\(y^2+xy=x^3-643518x-182267324\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(-430, 4086)]$	$1$
193392.t1	193392k2	193392.t	193392k	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 79 \)	\( 2^{23} \cdot 3^{6} \cdot 17^{2} \cdot 79^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$1$	$6082560$	$2.545444$	$250505699702316625/23053462341632$	$0.99294$	$4.51607$		$[0, 0, 0, -1891155, 917974546]$	\(y^2=x^3-1891155x+917974546\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
212194.h1	212194b2	212194.h	212194b	$2$	$2$	\( 2 \cdot 17 \cdot 79^{2} \)	\( 2^{11} \cdot 17^{2} \cdot 79^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$1$		$0$	$65894400$	$3.487717$	$250505699702316625/23053462341632$	$0.99294$	$5.40380$		$[1, 0, 0, -81963183, -261926536391]$	\(y^2+xy=x^3-81963183x-261926536391\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$
325006.n1	325006n2	325006.n	325006n	$2$	$2$	\( 2 \cdot 11^{2} \cdot 17 \cdot 79 \)	\( 2^{11} \cdot 11^{6} \cdot 17^{2} \cdot 79^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$42.51103812$	$1$		$0$	$14784000$	$2.501938$	$250505699702316625/23053462341632$	$0.99294$	$4.29021$		$[1, 1, 0, -1589095, -707736267]$	\(y^2+xy=x^3+x^2-1589095x-707736267\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(88175766739070547621/246224324, 105010463294342792210755959711/246224324)]$	$1$
365296.bl1	365296bl2	365296.bl	365296bl	$2$	$2$	\( 2^{4} \cdot 17^{2} \cdot 79 \)	\( 2^{23} \cdot 17^{8} \cdot 79^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$5.412839382$	$1$		$3$	$72990720$	$3.412746$	$250505699702316625/23053462341632$	$0.99294$	$5.10438$		$[0, -1, 0, -60727088, -167017125952]$	\(y^2=x^3-x^2-60727088x-167017125952\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(2714056, 4471223040)]$	$1$
410958.n1	410958n2	410958.n	410958n	$2$	$2$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 79 \)	\( 2^{11} \cdot 3^{6} \cdot 17^{8} \cdot 79^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$51.26099130$	$1$		$4$	$72990720$	$3.268906$	$250505699702316625/23053462341632$	$0.99294$	$4.92434$		$[1, -1, 0, -34158987, -70460350011]$	\(y^2+xy=x^3-x^2-34158987x-70460350011\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[(-2579, 23133), (-24493893/86, 51679621599/86)]$	$1$
453934.m1	453934m2	453934.m	453934m	$2$	$2$	\( 2 \cdot 13^{2} \cdot 17 \cdot 79 \)	\( 2^{11} \cdot 13^{6} \cdot 17^{2} \cdot 79^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$136$	$12$	$0$	$1$	$4$	$2$	$0$	$20275200$	$2.585464$	$250505699702316625/23053462341632$	$0.99294$	$4.25712$		$[1, 1, 0, -2219480, 1166199104]$	\(y^2+xy=x^3+x^2-2219480x+1166199104\)	2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.?	$[ ]$	$1$

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