Elliptic curves over $\Q$ of conductor 477964

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
477964.a1	477964a1	477964.a	477964a	$2$	$3$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( - 2^{8} \cdot 19^{8} \cdot 331 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$1986$	$16$	$0$	$7.294990292$	$1$		$2$	$4875552$	$2.005615$	$-10727415808/331$	$0.88813$	$3.99141$	$[0, 1, 0, -749917, 249715359]$	\(y^2=x^3+x^2-749917x+249715359\)	3.8.0-3.a.1.2, 662.2.0.?, 1986.16.0.?	$[(8073/4, 13293/4)]$
477964.a2	477964a2	477964.a	477964a	$2$	$3$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( - 2^{8} \cdot 19^{8} \cdot 331^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1986$	$16$	$0$	$2.431663430$	$1$		$0$	$14626656$	$2.554920$	$-207167488/36264691$	$0.88907$	$4.12662$	$[0, 1, 0, -201197, 605066431]$	\(y^2=x^3+x^2-201197x+605066431\)	3.8.0-3.a.1.1, 662.2.0.?, 1986.16.0.?	$[(16721/4, 2509311/4)]$
477964.b1	477964b1	477964.b	477964b	$1$	$1$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( - 2^{4} \cdot 19^{6} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$36.23144857$	$1$		$0$	$3188808$	$1.593950$	$-2224893853696/331$	$0.96016$	$3.73701$	$[0, 1, 0, -247405, -47447928]$	\(y^2=x^3+x^2-247405x-47447928\)	662.2.0.?	$[(5130408424522733/1027562, 365506174873232502578381/1027562)]$
477964.c1	477964c1	477964.c	477964c	$1$	$1$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( 2^{4} \cdot 19^{11} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12578$	$2$	$0$	$4.901904745$	$1$		$2$	$8769600$	$2.471066$	$12719580786418432/819588769$	$0.87767$	$4.39855$	$[0, -1, 0, -4423814, -3579648671]$	\(y^2=x^3-x^2-4423814x-3579648671\)	12578.2.0.?	$[(2844, 82669)]$
477964.d1	477964d1	477964.d	477964d	$1$	$1$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( 2^{4} \cdot 19^{7} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12578$	$2$	$0$	$0.967307023$	$1$		$4$	$682560$	$1.136713$	$20353792/6289$	$0.62559$	$2.84983$	$[0, -1, 0, -5174, 99529]$	\(y^2=x^3-x^2-5174x+99529\)	12578.2.0.?	$[(-6, 361)]$
477964.e1	477964e1	477964.e	477964e	$1$	$1$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( - 2^{4} \cdot 19^{6} \cdot 331 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$662$	$2$	$0$	$1$	$4$	$2$	$0$	$775656$	$0.870575$	$131072/331$	$0.75736$	$2.55678$	$[0, -1, 0, 963, -21406]$	\(y^2=x^3-x^2+963x-21406\)	662.2.0.?	$[]$
477964.f1	477964f1	477964.f	477964f	$2$	$3$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( - 2^{8} \cdot 19^{2} \cdot 331 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$37734$	$16$	$0$	$29.64001392$	$1$		$0$	$256608$	$0.533395$	$-10727415808/331$	$0.88813$	$2.64047$	$[0, -1, 0, -2077, -35751]$	\(y^2=x^3-x^2-2077x-35751\)	3.4.0.a.1, 57.8.0-3.a.1.1, 662.2.0.?, 1986.8.0.?, 37734.16.0.?	$[(6990581182533/133814, 18327073047379886349/133814)]$
477964.f2	477964f2	477964.f	477964f	$2$	$3$	\( 2^{2} \cdot 19^{2} \cdot 331 \)	\( - 2^{8} \cdot 19^{2} \cdot 331^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$37734$	$16$	$0$	$9.880004641$	$1$		$0$	$769824$	$1.082701$	$-207167488/36264691$	$0.88907$	$2.77568$	$[0, -1, 0, -557, -88039]$	\(y^2=x^3-x^2-557x-88039\)	3.4.0.a.1, 57.8.0-3.a.1.2, 662.2.0.?, 1986.8.0.?, 37734.16.0.?	$[(32623/23, 4004802/23)]$