Elliptic curve search results

Results (12 matches)

 

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
10626.s2	10626q1	10626.s	10626q	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$10752$	$0.812012$	$-6449916994998625/8532911772$	$0.91914$	$3.92675$	$[1, 0, 0, -3878, 92736]$	\(y^2+xy=x^3-3878x+92736\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[]$
31878.p2	31878u1	31878.p	31878u	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{8} \cdot 7 \cdot 11^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$3.214329451$	$1$		$5$	$86016$	$1.361317$	$-6449916994998625/8532911772$	$0.91914$	$4.14640$	$[1, -1, 0, -34902, -2503872]$	\(y^2+xy=x^3-x^2-34902x-2503872\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(262, 2376)]$
74382.bb2	74382v1	74382.bb	74382v	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{2} \cdot 7^{7} \cdot 11^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$7.768951839$	$1$		$1$	$516096$	$1.784966$	$-6449916994998625/8532911772$	$0.91914$	$4.28642$	$[1, 1, 1, -190023, -31998471]$	\(y^2+xy+y=x^3+x^2-190023x-31998471\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(12583/2, 1384831/2)]$
85008.u2	85008bk1	85008.u	85008bk	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{14} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$258048$	$1.505159$	$-6449916994998625/8532911772$	$0.91914$	$3.94017$	$[0, -1, 0, -62048, -5935104]$	\(y^2=x^3-x^2-62048x-5935104\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[]$
116886.s2	116886k1	116886.s	116886k	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{8} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$6.317798335$	$1$		$3$	$1290240$	$2.010960$	$-6449916994998625/8532911772$	$0.91914$	$4.35279$	$[1, 0, 1, -469241, -123900856]$	\(y^2+xy+y=x^3-469241x-123900856\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(14541, 1744204)]$
223146.bc2	223146de1	223146.bc	223146de	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{8} \cdot 7^{7} \cdot 11^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1.101561673$	$1$		$9$	$4128768$	$2.334274$	$-6449916994998625/8532911772$	$0.91914$	$4.43928$	$[1, -1, 0, -1710207, 862248505]$	\(y^2+xy=x^3-x^2-1710207x+862248505\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(767, 755)]$
244398.bn2	244398bn1	244398.bn	244398bn	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( - 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$32.14999957$	$1$		$1$	$5677056$	$2.379757$	$-6449916994998625/8532911772$	$0.91914$	$4.45072$	$[1, 0, 0, -2051473, -1132421851]$	\(y^2+xy=x^3-2051473x-1132421851\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(8959980064447421/1954924, 613911125429687146114607/1954924)]$
255024.cp2	255024cp1	255024.cp	255024cp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{14} \cdot 3^{8} \cdot 7 \cdot 11^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$2.338215907$	$1$		$3$	$2064384$	$2.054466$	$-6449916994998625/8532911772$	$0.91914$	$4.12195$	$[0, 0, 0, -558435, 160806242]$	\(y^2=x^3-558435x+160806242\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(433, 432)]$
265650.a2	265650a1	265650.a	265650a	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 7 \cdot 11^{2} \cdot 23^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$0.825453838$	$1$		$23$	$1548288$	$1.616730$	$-6449916994998625/8532911772$	$0.91914$	$3.68791$	$[1, 1, 0, -96950, 11592000]$	\(y^2+xy=x^3+x^2-96950x+11592000\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(215, 755), (179, 26)]$
340032.bq2	340032bq1	340032.bq	340032bq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{20} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1.550457786$	$1$		$5$	$2064384$	$1.851732$	$-6449916994998625/8532911772$	$0.91914$	$3.83784$	$[0, -1, 0, -248193, 47729025]$	\(y^2=x^3-x^2-248193x+47729025\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(129, 4224)]$
340032.en2	340032en1	340032.en	340032en	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{20} \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$1$	$1$		$1$	$2064384$	$1.851732$	$-6449916994998625/8532911772$	$0.91914$	$3.83784$	$[0, 1, 0, -248193, -47729025]$	\(y^2=x^3+x^2-248193x-47729025\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[]$
350658.df2	350658df1	350658.df	350658df	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{8} \cdot 7 \cdot 11^{8} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$616$	$12$	$0$	$3.104143872$	$1$		$1$	$10321920$	$2.560265$	$-6449916994998625/8532911772$	$0.91914$	$4.49453$	$[1, -1, 1, -4223165, 3345323105]$	\(y^2+xy+y=x^3-x^2-4223165x+3345323105\)	2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.?	$[(18957/4, 87289/4)]$