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
72075.o1	72075c1	72075.o	72075c	$1$	$1$	\( 3 \cdot 5^{2} \cdot 31^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 31^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$2.039326126$	$1$		$6$	$30720$	$0.485527$	$163840000/243$	$1.18095$	$2.89977$	$[0, -1, 1, -1033, 13113]$	\(y^2+y=x^3-x^2-1033x+13113\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[(21, 15), (127/3, 901/3)]$
72075.q1	72075s1	72075.q	72075s	$1$	$1$	\( 3 \cdot 5^{2} \cdot 31^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 31^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$11.42531756$	$1$		$0$	$4761600$	$3.007240$	$163840000/243$	$1.18095$	$5.60511$	$[0, -1, 1, -24825833, -47541298432]$	\(y^2+y=x^3-x^2-24825833x-47541298432\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[(119446117/74, 1267823576913/74)]$
72075.w1	72075bh1	72075.w	72075bh	$1$	$1$	\( 3 \cdot 5^{2} \cdot 31^{2} \)	\( 3^{5} \cdot 5^{8} \cdot 31^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$0.417390836$	$1$		$12$	$153600$	$1.290247$	$163840000/243$	$1.18095$	$3.76309$	$[0, 1, 1, -25833, 1587494]$	\(y^2+y=x^3+x^2-25833x+1587494\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[(258, 3487), (72, 325)]$
72075.y1	72075z1	72075.y	72075z	$1$	$1$	\( 3 \cdot 5^{2} \cdot 31^{2} \)	\( 3^{5} \cdot 5^{2} \cdot 31^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$4.393116057$	$1$		$0$	$952320$	$2.202522$	$163840000/243$	$1.18095$	$4.74179$	$[0, 1, 1, -993033, -380727601]$	\(y^2+y=x^3+x^2-993033x-380727601\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[(37791/5, 4960139/5)]$
216225.ba1	216225be1	216225.ba	216225be	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 31^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$1.864185118$	$1$		$4$	$7618560$	$2.751827$	$163840000/243$	$1.18095$	$4.85432$	$[0, 0, 1, -8937300, 10270707921]$	\(y^2+y=x^3-8937300x+10270707921\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[(-961, 134059)]$
216225.bd1	216225v1	216225.bd	216225v	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 31^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$1$	$4$	$2$	$0$	$38092800$	$3.556545$	$163840000/243$	$1.18095$	$5.64043$	$[0, 0, 1, -223432500, 1283838490156]$	\(y^2+y=x^3-223432500x+1283838490156\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[ ]$
216225.bh1	216225x1	216225.bh	216225x	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{11} \cdot 5^{8} \cdot 31^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$1$	$1$		$0$	$1228800$	$1.839552$	$163840000/243$	$1.18095$	$3.96314$	$[0, 0, 1, -232500, -43094844]$	\(y^2+y=x^3-232500x-43094844\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[ ]$
216225.bk1	216225bh1	216225.bk	216225bh	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 31^{2} \)	\( 3^{11} \cdot 5^{2} \cdot 31^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.15.0.1	5Ns	$930$	$60$	$3$	$3.653124467$	$1$		$2$	$245760$	$1.034834$	$163840000/243$	$1.18095$	$3.17703$	$[0, 0, 1, -9300, -344759]$	\(y^2+y=x^3-9300x-344759\)	5.15.0.a.1, 30.30.1.b.1, 155.30.0.?, 186.2.0.?, 930.60.3.?	$[(589, 14089)]$

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