Elliptic curve search results

Results (13 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
3448.a1	3448b1	3448.a	3448b	$1$	$1$	\( 2^{3} \cdot 431 \)	\( - 2^{8} \cdot 431 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$0.235892291$	$1$		$18$	$352$	$-0.198758$	$-61918288/431$	$0.74036$	$2.88482$	$[0, -1, 0, -52, 164]$	\(y^2=x^3-x^2-52x+164\)	862.2.0.?	$[(4, 2), (8, 14)]$
6896.i1	6896c1	6896.i	6896c	$1$	$1$	\( 2^{4} \cdot 431 \)	\( - 2^{8} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$704$	$-0.198758$	$-61918288/431$	$0.74036$	$2.65859$	$[0, 1, 0, -52, -164]$	\(y^2=x^3+x^2-52x-164\)	862.2.0.?	$[]$
27584.n1	27584bb1	27584.n	27584bb	$1$	$1$	\( 2^{6} \cdot 431 \)	\( - 2^{14} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$2.225439369$	$1$		$2$	$5632$	$0.147816$	$-61918288/431$	$0.74036$	$2.70488$	$[0, -1, 0, -209, -1103]$	\(y^2=x^3-x^2-209x-1103\)	862.2.0.?	$[(29, 128)]$
27584.y1	27584b1	27584.y	27584b	$1$	$1$	\( 2^{6} \cdot 431 \)	\( - 2^{14} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$0.782335056$	$1$		$2$	$5632$	$0.147816$	$-61918288/431$	$0.74036$	$2.70488$	$[0, 1, 0, -209, 1103]$	\(y^2=x^3+x^2-209x+1103\)	862.2.0.?	$[(11, 16)]$
31032.e1	31032c1	31032.e	31032c	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 431 \)	\( - 2^{8} \cdot 3^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$6.907415098$	$1$		$0$	$10560$	$0.350548$	$-61918288/431$	$0.74036$	$2.90929$	$[0, 0, 0, -471, -3958]$	\(y^2=x^3-471x-3958\)	862.2.0.?	$[(686/5, 7684/5)]$
62064.bb1	62064c1	62064.bb	62064c	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 431 \)	\( - 2^{8} \cdot 3^{6} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$21120$	$0.350548$	$-61918288/431$	$0.74036$	$2.72656$	$[0, 0, 0, -471, 3958]$	\(y^2=x^3-471x+3958\)	862.2.0.?	$[]$
86200.e1	86200a1	86200.e	86200a	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 431 \)	\( - 2^{8} \cdot 5^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$2.629961461$	$1$		$2$	$38016$	$0.605961$	$-61918288/431$	$0.74036$	$2.91745$	$[0, 1, 0, -1308, 17888]$	\(y^2=x^3+x^2-1308x+17888\)	862.2.0.?	$[(19, 16)]$
168952.j1	168952e1	168952.j	168952e	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 431 \)	\( - 2^{8} \cdot 7^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$4.003753090$	$1$		$2$	$126720$	$0.774197$	$-61918288/431$	$0.74036$	$2.92206$	$[0, 1, 0, -2564, -51136]$	\(y^2=x^3+x^2-2564x-51136\)	862.2.0.?	$[(80, 512)]$
172400.f1	172400v1	172400.f	172400v	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 431 \)	\( - 2^{8} \cdot 5^{6} \cdot 431 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1$	$1$		$0$	$76032$	$0.605961$	$-61918288/431$	$0.74036$	$2.74973$	$[0, -1, 0, -1308, -17888]$	\(y^2=x^3-x^2-1308x-17888\)	862.2.0.?	$[]$
248256.g1	248256g1	248256.g	248256g	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 431 \)	\( - 2^{14} \cdot 3^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$3.249318032$	$1$		$2$	$168960$	$0.697122$	$-61918288/431$	$0.74036$	$2.75708$	$[0, 0, 0, -1884, -31664]$	\(y^2=x^3-1884x-31664\)	862.2.0.?	$[(78, 544)]$
248256.k1	248256k1	248256.k	248256k	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 431 \)	\( - 2^{14} \cdot 3^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1.381389180$	$1$		$2$	$168960$	$0.697122$	$-61918288/431$	$0.74036$	$2.75708$	$[0, 0, 0, -1884, 31664]$	\(y^2=x^3-1884x+31664\)	862.2.0.?	$[(26, 16)]$
337904.n1	337904n1	337904.n	337904n	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 431 \)	\( - 2^{8} \cdot 7^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$1.784017446$	$1$		$2$	$253440$	$0.774197$	$-61918288/431$	$0.74036$	$2.76296$	$[0, -1, 0, -2564, 51136]$	\(y^2=x^3-x^2-2564x+51136\)	862.2.0.?	$[(5, 196)]$
417208.a1	417208a1	417208.a	417208a	$1$	$1$	\( 2^{3} \cdot 11^{2} \cdot 431 \)	\( - 2^{8} \cdot 11^{6} \cdot 431 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$862$	$2$	$0$	$7.962296017$	$1$		$2$	$475200$	$1.000189$	$-61918288/431$	$0.74036$	$2.92750$	$[0, -1, 0, -6332, -193004]$	\(y^2=x^3-x^2-6332x-193004\)	862.2.0.?	$[(2825, 150064)]$