Elliptic curve search results

Results (8 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
33150.bb1	33150z2	33150.bb	33150z	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$5304$	$16$	$0$	$1$	$9$	$3$	$0$	$88128$	$1.273830$	$-71559517896165625/4598568$	$1.00913$	$4.34700$	$[1, 0, 1, -73951, -7746502]$	\(y^2+xy+y=x^3-73951x-7746502\)	3.8.0-3.a.1.1, 1768.2.0.?, 5304.16.0.?	$[]$
33150.bi1	33150bl2	33150.bi	33150bl	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{10} \cdot 13 \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$26520$	$16$	$0$	$6.067601452$	$1$		$2$	$440640$	$2.078548$	$-71559517896165625/4598568$	$1.00913$	$5.27474$	$[1, 1, 1, -1848763, -968312719]$	\(y^2+xy+y=x^3+x^2-1848763x-968312719\)	3.4.0.a.1, 15.8.0-3.a.1.1, 1768.2.0.?, 5304.8.0.?, 26520.16.0.?	$[(7061, 577920)]$
99450.i1	99450t2	99450.i	99450t	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{10} \cdot 13 \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$26520$	$16$	$0$	$1$	$1$		$0$	$3525120$	$2.627853$	$-71559517896165625/4598568$	$1.00913$	$5.34398$	$[1, -1, 0, -16638867, 26127804541]$	\(y^2+xy=x^3-x^2-16638867x+26127804541\)	3.4.0.a.1, 15.8.0-3.a.1.2, 1768.2.0.?, 5304.8.0.?, 26520.16.0.?	$[]$
99450.dd1	99450dw2	99450.dd	99450dw	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{8} \cdot 5^{4} \cdot 13 \cdot 17^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$5304$	$16$	$0$	$1$	$1$		$2$	$705024$	$1.823135$	$-71559517896165625/4598568$	$1.00913$	$4.50481$	$[1, -1, 1, -665555, 209155547]$	\(y^2+xy+y=x^3-x^2-665555x+209155547\)	3.8.0-3.a.1.2, 1768.2.0.?, 5304.16.0.?	$[]$
265200.w1	265200w2	265200.w	265200w	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 13 \cdot 17^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$5304$	$16$	$0$	$2.593393660$	$1$		$12$	$2115072$	$1.966976$	$-71559517896165625/4598568$	$1.00913$	$4.28922$	$[0, -1, 0, -1183208, 495776112]$	\(y^2=x^3-x^2-1183208x+495776112\)	3.4.0.a.1, 12.8.0-3.a.1.2, 1768.2.0.?, 5304.16.0.?	$[(628, 16), (596, 1392)]$
265200.ga1	265200ga2	265200.ga	265200ga	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{15} \cdot 3^{2} \cdot 5^{10} \cdot 13 \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$26520$	$16$	$0$	$1$	$1$		$0$	$10575360$	$2.771694$	$-71559517896165625/4598568$	$1.00913$	$5.06248$	$[0, 1, 0, -29580208, 61912853588]$	\(y^2=x^3+x^2-29580208x+61912853588\)	3.4.0.a.1, 60.8.0-3.a.1.1, 1768.2.0.?, 5304.8.0.?, 26520.16.0.?	$[]$
430950.bs1	430950bs2	430950.bs	430950bs	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{10} \cdot 13^{7} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$26520$	$16$	$0$	$1$	$1$		$0$	$74027520$	$3.361023$	$-71559517896165625/4598568$	$1.00913$	$5.41812$	$[1, 1, 0, -312440950, -2125820838500]$	\(y^2+xy=x^3+x^2-312440950x-2125820838500\)	3.4.0.a.1, 195.8.0.?, 1768.2.0.?, 2040.8.0.?, 5304.8.0.?, $\ldots$	$[]$
430950.hc1	430950hc2	430950.hc	430950hc	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{2} \cdot 5^{4} \cdot 13^{7} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$5304$	$16$	$0$	$1$	$1$		$0$	$14805504$	$2.556305$	$-71559517896165625/4598568$	$1.00913$	$4.67380$	$[1, 0, 0, -12497638, -17006566708]$	\(y^2+xy=x^3-12497638x-17006566708\)	3.4.0.a.1, 39.8.0-3.a.1.2, 408.8.0.?, 1768.2.0.?, 5304.16.0.?	$[]$