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
76296.e1	76296p1	76296.e	76296p	$1$	$1$	\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{8} \cdot 11^{5} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$0.455367613$	$1$		$4$	$230400$	$1.351946$	$860492463104/1056655611$	$0.97677$	$3.45189$	$[0, -1, 0, 8319, 306549]$	\(y^2=x^3-x^2+8319x+306549\)	22.2.0.a.1	$[(123, 1782)]$
76296.s1	76296s1	76296.s	76296s	$1$	$1$	\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{8} \cdot 11^{5} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$3916800$	$2.768551$	$860492463104/1056655611$	$0.97677$	$4.96396$	$[0, 1, 0, 2404095, 1520499987]$	\(y^2=x^3+x^2+2404095x+1520499987\)	22.2.0.a.1	$[ ]$
152592.w1	152592df1	152592.w	152592df	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{8} \cdot 11^{5} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$2.447565879$	$1$		$2$	$7833600$	$2.768551$	$860492463104/1056655611$	$0.97677$	$4.67568$	$[0, -1, 0, 2404095, -1520499987]$	\(y^2=x^3-x^2+2404095x-1520499987\)	22.2.0.a.1	$[(588, 9801)]$
152592.cf1	152592cr1	152592.cf	152592cr	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{8} \cdot 11^{5} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$460800$	$1.351946$	$860492463104/1056655611$	$0.97677$	$3.25142$	$[0, 1, 0, 8319, -306549]$	\(y^2=x^3+x^2+8319x-306549\)	22.2.0.a.1	$[ ]$
228888.z1	228888bs1	228888.z	228888bs	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 11^{5} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$31334400$	$3.317860$	$860492463104/1056655611$	$0.97677$	$5.05619$	$[0, 0, 0, 21636852, -41031862796]$	\(y^2=x^3+21636852x-41031862796\)	22.2.0.a.1	$[ ]$
228888.bp1	228888bx1	228888.bp	228888bx	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 11^{5} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$4.373030167$	$1$		$10$	$1843200$	$1.901253$	$860492463104/1056655611$	$0.97677$	$3.67872$	$[0, 0, 0, 74868, -8351692]$	\(y^2=x^3+74868x-8351692\)	22.2.0.a.1	$[(118, 1458), (604, 16038)]$
457776.ca1	457776ca1	457776.ca	457776ca	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 11^{5} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$19.04338662$	$1$		$0$	$62668800$	$3.317860$	$860492463104/1056655611$	$0.97677$	$4.78730$	$[0, 0, 0, 21636852, 41031862796]$	\(y^2=x^3+21636852x+41031862796\)	22.2.0.a.1	$[(-835759007/946, 119758214923983/946)]$
457776.ed1	457776ed1	457776.ed	457776ed	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{14} \cdot 11^{5} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$2.855880468$	$1$		$2$	$3686400$	$1.901253$	$860492463104/1056655611$	$0.97677$	$3.48309$	$[0, 0, 0, 74868, 8351692]$	\(y^2=x^3+74868x+8351692\)	22.2.0.a.1	$[(3041, 168399)]$

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