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
6699.b1	6699c1	6699.b	6699c	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{3} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$13398$	$2$	$0$	$1.404784454$	$1$		$2$	$432$	$-0.403872$	$-1/60291$	$0.98548$	$2.09560$	$[1, 1, 1, 0, -12]$	\(y^2+xy+y=x^3+x^2-12\)	13398.2.0.?	$[(2, 0)]$
20097.i1	20097e1	20097.i	20097e	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{9} \cdot 7 \cdot 11 \cdot 29 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1.278715498$	$1$		$6$	$3456$	$0.145434$	$-1/60291$	$0.98548$	$2.52851$	$[1, -1, 0, 0, 319]$	\(y^2+xy=x^3-x^2+319\)	13398.2.0.?	$[(14, 47), (2, 17)]$
46893.c1	46893q1	46893.c	46893q	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3^{3} \cdot 7^{7} \cdot 11 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$0.646545441$	$1$		$4$	$20736$	$0.569082$	$-1/60291$	$0.98548$	$2.80199$	$[1, 0, 0, -1, 4052]$	\(y^2+xy=x^3-x+4052\)	13398.2.0.?	$[(11, 68)]$
73689.v1	73689l1	73689.v	73689l	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{3} \cdot 7 \cdot 11^{7} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$3.969297145$	$1$		$0$	$51840$	$0.795075$	$-1/60291$	$0.98548$	$2.93096$	$[1, 1, 0, -2, 15723]$	\(y^2+xy=x^3+x^2-2x+15723\)	13398.2.0.?	$[(406/3, 8345/3)]$
107184.ce1	107184cr1	107184.ce	107184cr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3^{3} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$0.594689707$	$1$		$4$	$27648$	$0.289275$	$-1/60291$	$0.98548$	$2.31210$	$[0, 1, 0, 0, 756]$	\(y^2=x^3+x^2+756\)	13398.2.0.?	$[(-6, 24)]$
140679.bc1	140679ba1	140679.bc	140679ba	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \)	\( - 3^{9} \cdot 7^{7} \cdot 11 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$6.056462686$	$1$		$0$	$165888$	$1.118389$	$-1/60291$	$0.98548$	$3.09837$	$[1, -1, 0, -9, -109404]$	\(y^2+xy=x^3-x^2-9x-109404\)	13398.2.0.?	$[(2164/5, 85828/5)]$
167475.bh1	167475z1	167475.bh	167475z	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 3^{3} \cdot 5^{6} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$4.828981995$	$1$		$2$	$60480$	$0.400846$	$-1/60291$	$0.98548$	$2.33762$	$[1, 0, 1, -1, -1477]$	\(y^2+xy+y=x^3-x-1477\)	13398.2.0.?	$[(253, 3899)]$
194271.z1	194271y1	194271.z	194271y	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 29^{2} \)	\( - 3^{3} \cdot 7 \cdot 11 \cdot 29^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$362880$	$1.279776$	$-1/60291$	$0.98548$	$3.17528$	$[1, 0, 1, -18, -288125]$	\(y^2+xy+y=x^3-18x-288125\)	13398.2.0.?	$[]$
221067.f1	221067d1	221067.f	221067d	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \)	\( - 3^{9} \cdot 7 \cdot 11^{7} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$0.965933850$	$1$		$4$	$414720$	$1.344381$	$-1/60291$	$0.98548$	$3.20494$	$[1, -1, 1, -23, -424542]$	\(y^2+xy+y=x^3-x^2-23x-424542\)	13398.2.0.?	$[(146, 1560)]$
321552.cr1	321552cr1	321552.cr	321552cr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{12} \cdot 3^{9} \cdot 7 \cdot 11 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1.940746402$	$1$		$2$	$221184$	$0.838581$	$-1/60291$	$0.98548$	$2.63160$	$[0, 0, 0, -3, -20414]$	\(y^2=x^3-3x-20414\)	13398.2.0.?	$[(65, 504)]$
428736.cd1	428736cd1	428736.cd	428736cd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3^{3} \cdot 7 \cdot 11 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.635848$	$-1/60291$	$0.98548$	$2.38563$	$[0, -1, 0, -1, 6049]$	\(y^2=x^3-x^2-x+6049\)	13398.2.0.?	$[]$
428736.gj1	428736gj1	428736.gj	428736gj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \)	\( - 2^{18} \cdot 3^{3} \cdot 7 \cdot 11 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$13398$	$2$	$0$	$1$	$1$		$0$	$221184$	$0.635848$	$-1/60291$	$0.98548$	$2.38563$	$[0, 1, 0, -1, -6049]$	\(y^2=x^3+x^2-x-6049\)	13398.2.0.?	$[]$