Elliptic curve search results

Results (8 matches)

  Download displayed columns for results to

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
27090.x2	27090d1	27090.x	27090d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 43 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.884116482$	$1$		$5$	$245760$	$1.906103$	$6348375775125747/2706453299200$	$0.94767$	$4.53364$	$[1, -1, 0, -104154, -6612940]$	\(y^2+xy=x^3-x^2-104154x-6612940\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-149, 2437)]$
27090.bg2	27090bc1	27090.bg	27090bc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 43 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.170649701$	$1$		$15$	$81920$	$1.356796$	$6348375775125747/2706453299200$	$0.94767$	$3.88783$	$[1, -1, 1, -11573, 248781]$	\(y^2+xy+y=x^3-x^2-11573x+248781\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(15, 272)]$
135450.s2	135450fj1	135450.s	135450fj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 43 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{8} \cdot 7^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$1966080$	$2.161514$	$6348375775125747/2706453299200$	$0.94767$	$4.17552$	$[1, -1, 0, -289317, 30808341]$	\(y^2+xy=x^3-x^2-289317x+30808341\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[ ]$
135450.dk2	135450cu1	135450.dk	135450cu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 43 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.173866156$	$1$		$7$	$5898240$	$2.710823$	$6348375775125747/2706453299200$	$0.94767$	$4.73336$	$[1, -1, 1, -2603855, -829221353]$	\(y^2+xy+y=x^3-x^2-2603855x-829221353\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(2579, 96710)]$
189630.w2	189630ew1	189630.w	189630ew	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{2} \cdot 7^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$4$	$2$	$1$	$11796480$	$2.879059$	$6348375775125747/2706453299200$	$0.94767$	$4.76843$	$[1, -1, 0, -5103555, 2278445525]$	\(y^2+xy=x^3-x^2-5103555x+2278445525\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[ ]$
189630.eq2	189630bu1	189630.eq	189630bu	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 7^{10} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$3932160$	$2.329750$	$6348375775125747/2706453299200$	$0.94767$	$4.22603$	$[1, -1, 1, -567062, -84197851]$	\(y^2+xy+y=x^3-x^2-567062x-84197851\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[ ]$
216720.t2	216720di1	216720.t	216720di	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 43 \)	\( 2^{32} \cdot 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.585806229$	$1$		$3$	$1966080$	$2.049942$	$6348375775125747/2706453299200$	$0.94767$	$3.90682$	$[0, 0, 0, -185163, -15736838]$	\(y^2=x^3-185163x-15736838\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-129, 2450)]$
216720.di2	216720cy1	216720.di	216720cy	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 43 \)	\( 2^{32} \cdot 3^{9} \cdot 5^{2} \cdot 7^{4} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$5898240$	$2.599251$	$6348375775125747/2706453299200$	$0.94767$	$4.44332$	$[0, 0, 0, -1666467, 424894626]$	\(y^2=x^3-1666467x+424894626\)	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[ ]$

  Download displayed columns for results to