Elliptic curve search results

Results (15 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	Manin constant
5240.e1	5240b1	5240.e	5240b	$1$	$1$	\( 2^{3} \cdot 5 \cdot 131 \)	\( - 2^{4} \cdot 5 \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$0.820137654$	$1$		$2$	$320$	$-0.549610$	$-256/655$	$0.74283$	$1.95143$	$[0, -1, 0, 0, 5]$	\(y^2=x^3-x^2+5\)	1310.2.0.?	$[(2, 3)]$	$1$
10480.b1	10480c1	10480.b	10480c	$1$	$1$	\( 2^{4} \cdot 5 \cdot 131 \)	\( - 2^{4} \cdot 5 \cdot 131 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1$	$1$		$0$	$640$	$-0.549610$	$-256/655$	$0.74283$	$1.80531$	$[0, 1, 0, 0, -5]$	\(y^2=x^3+x^2-5\)	1310.2.0.?	$[ ]$	$1$
26200.b1	26200h1	26200.b	26200h	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 131 \)	\( - 2^{4} \cdot 5^{7} \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$0.253610446$	$1$		$6$	$7680$	$0.255109$	$-256/655$	$0.74283$	$2.59191$	$[0, 1, 0, -8, 613]$	\(y^2=x^3+x^2-8x+613\)	1310.2.0.?	$[(-2, 25)]$	$1$
41920.g1	41920f1	41920.g	41920f	$1$	$1$	\( 2^{6} \cdot 5 \cdot 131 \)	\( - 2^{10} \cdot 5 \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1.767748043$	$1$		$2$	$5120$	$-0.203037$	$-256/655$	$0.74283$	$1.96092$	$[0, 1, 0, -1, 39]$	\(y^2=x^3+x^2-x+39\)	1310.2.0.?	$[(2, 7)]$	$1$
41920.bi1	41920bd1	41920.bi	41920bd	$1$	$1$	\( 2^{6} \cdot 5 \cdot 131 \)	\( - 2^{10} \cdot 5 \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$5.955295759$	$1$		$2$	$5120$	$-0.203037$	$-256/655$	$0.74283$	$1.96092$	$[0, -1, 0, -1, -39]$	\(y^2=x^3-x^2-x-39\)	1310.2.0.?	$[(384, 7515)]$	$1$
47160.c1	47160g1	47160.c	47160g	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 131 \)	\( - 2^{4} \cdot 3^{6} \cdot 5 \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1.356008088$	$1$		$2$	$7680$	$-0.000304$	$-256/655$	$0.74283$	$2.16552$	$[0, 0, 0, -3, -133]$	\(y^2=x^3-3x-133\)	1310.2.0.?	$[(13, 45)]$	$1$
52400.bk1	52400b1	52400.bk	52400b	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 131 \)	\( - 2^{4} \cdot 5^{7} \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$2.871464676$	$1$		$2$	$15360$	$0.255109$	$-256/655$	$0.74283$	$2.42658$	$[0, -1, 0, -8, -613]$	\(y^2=x^3-x^2-8x-613\)	1310.2.0.?	$[(127, 1425)]$	$1$
94320.l1	94320d1	94320.l	94320d	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 131 \)	\( - 2^{4} \cdot 3^{6} \cdot 5 \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1.065874100$	$1$		$2$	$15360$	$-0.000304$	$-256/655$	$0.74283$	$2.03448$	$[0, 0, 0, -3, 133]$	\(y^2=x^3-3x+133\)	1310.2.0.?	$[(-4, 9)]$	$1$
209600.l1	209600e1	209600.l	209600e	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 131 \)	\( - 2^{10} \cdot 5^{7} \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1.814125247$	$1$		$2$	$122880$	$0.601683$	$-256/655$	$0.74283$	$2.49145$	$[0, 1, 0, -33, -4937]$	\(y^2=x^3+x^2-33x-4937\)	1310.2.0.?	$[(18, 25)]$	$1$
209600.de1	209600do1	209600.de	209600do	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 131 \)	\( - 2^{10} \cdot 5^{7} \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$5.682422883$	$1$		$0$	$122880$	$0.601683$	$-256/655$	$0.74283$	$2.49145$	$[0, -1, 0, -33, 4937]$	\(y^2=x^3-x^2-33x+4937\)	1310.2.0.?	$[(-832/7, 6075/7)]$	$1$
235800.x1	235800x1	235800.x	235800x	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 131 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 131 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1$	$1$		$0$	$184320$	$0.804415$	$-256/655$	$0.74283$	$2.66439$	$[0, 0, 0, -75, -16625]$	\(y^2=x^3-75x-16625\)	1310.2.0.?	$[ ]$	$1$
256760.b1	256760b1	256760.b	256760b	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 131 \)	\( - 2^{4} \cdot 5 \cdot 7^{6} \cdot 131 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$2.877901670$	$1$		$10$	$122880$	$0.423345$	$-256/655$	$0.74283$	$2.27905$	$[0, 1, 0, -16, -1695]$	\(y^2=x^3+x^2-16x-1695\)	1310.2.0.?	$[(16, 49), (24, 111)]$	$1$
377280.cw1	377280cw1	377280.cw	377280cw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 131 \)	\( - 2^{10} \cdot 3^{6} \cdot 5 \cdot 131 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1$	$1$		$0$	$122880$	$0.346270$	$-256/655$	$0.74283$	$2.13872$	$[0, 0, 0, -12, -1064]$	\(y^2=x^3-12x-1064\)	1310.2.0.?	$[ ]$	$1$
377280.di1	377280di1	377280.di	377280di	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 131 \)	\( - 2^{10} \cdot 3^{6} \cdot 5 \cdot 131 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$1$	$1$		$0$	$122880$	$0.346270$	$-256/655$	$0.74283$	$2.13872$	$[0, 0, 0, -12, 1064]$	\(y^2=x^3-12x+1064\)	1310.2.0.?	$[ ]$	$1$
471600.cu1	471600cu1	471600.cu	471600cu	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 131 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1310$	$2$	$0$	$2.464075413$	$1$		$2$	$368640$	$0.804415$	$-256/655$	$0.74283$	$2.52302$	$[0, 0, 0, -75, 16625]$	\(y^2=x^3-75x+16625\)	1310.2.0.?	$[(160, 2025)]$	$1$

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