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
35594.b1	35594b1	35594.b	35594b	$1$	$1$	\( 2 \cdot 13 \cdot 37^{2} \)	\( - 2^{10} \cdot 13^{4} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$148$	$16$	$0$	$1.274657856$	$1$		$4$	$23040$	$0.717997$	$-4652805537/29246464$	$0.96757$	$3.04925$	$[1, -1, 0, -386, -9964]$	\(y^2+xy=x^3-x^2-386x-9964\)	4.8.0.b.1, 148.16.0.?	$[(31, 69)]$
35594.d1	35594e1	35594.d	35594e	$1$	$1$	\( 2 \cdot 13 \cdot 37^{2} \)	\( - 2^{10} \cdot 13^{4} \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.16.0.2		$4$	$16$	$0$	$1.115237657$	$1$		$4$	$852480$	$2.523457$	$-4652805537/29246464$	$0.96757$	$5.11658$	$[1, -1, 1, -528691, -509463917]$	\(y^2+xy+y=x^3-x^2-528691x-509463917\)	4.16.0-4.b.1.1	$[(1027, 4962)]$
284752.g1	284752g1	284752.g	284752g	$1$	$1$	\( 2^{4} \cdot 13 \cdot 37^{2} \)	\( - 2^{22} \cdot 13^{4} \cdot 37^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$148$	$16$	$0$	$5.358029947$	$1$		$8$	$552960$	$1.411144$	$-4652805537/29246464$	$0.96757$	$3.20666$	$[0, 0, 0, -6179, 643874]$	\(y^2=x^3-6179x+643874\)	4.8.0.b.1, 148.16.0.?	$[(46, 676), (215, 3042)]$
284752.n1	284752n1	284752.n	284752n	$1$	$1$	\( 2^{4} \cdot 13 \cdot 37^{2} \)	\( - 2^{22} \cdot 13^{4} \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.16.0.2		$4$	$16$	$0$	$5.361625767$	$1$		$2$	$20459520$	$3.216602$	$-4652805537/29246464$	$0.96757$	$4.93171$	$[0, 0, 0, -8459051, 32614149722]$	\(y^2=x^3-8459051x+32614149722\)	4.16.0-4.b.1.1	$[(3223, 197054)]$
320346.b1	320346b1	320346.b	320346b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13 \cdot 37^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 13^{4} \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$12$	$16$	$0$	$0.774312375$	$1$		$2$	$27279360$	$3.072762$	$-4652805537/29246464$	$0.96757$	$4.74973$	$[1, -1, 0, -4758216, 13760283968]$	\(y^2+xy=x^3-x^2-4758216x+13760283968\)	4.8.0.b.1, 12.16.0-4.b.1.1	$[(29776, 5110648)]$
320346.x1	320346x1	320346.x	320346x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 13 \cdot 37^{2} \)	\( - 2^{10} \cdot 3^{6} \cdot 13^{4} \cdot 37^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$444$	$16$	$0$	$0.771850384$	$1$		$4$	$737280$	$1.267303$	$-4652805537/29246464$	$0.96757$	$3.04071$	$[1, -1, 1, -3476, 272503]$	\(y^2+xy+y=x^3-x^2-3476x+272503\)	4.8.0.b.1, 444.16.0.?	$[(77, 637)]$
462722.d1	462722d1	462722.d	462722d	$1$	$1$	\( 2 \cdot 13^{2} \cdot 37^{2} \)	\( - 2^{10} \cdot 13^{10} \cdot 37^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$52$	$16$	$0$	$14.43319907$	$1$		$0$	$143216640$	$3.805931$	$-4652805537/29246464$	$0.96757$	$5.29028$	$[1, -1, 0, -89348726, -1119560271244]$	\(y^2+xy=x^3-x^2-89348726x-1119560271244\)	4.8.0.b.1, 52.16.0-4.b.1.1	$[(1770481852/19, 74479767582518/19)]$
462722.o1	462722o1	462722.o	462722o	$1$	$1$	\( 2 \cdot 13^{2} \cdot 37^{2} \)	\( - 2^{10} \cdot 13^{10} \cdot 37^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.8.0.2		$1924$	$16$	$0$	$1$	$1$		$0$	$3870720$	$2.000473$	$-4652805537/29246464$	$0.96757$	$3.62944$	$[1, -1, 1, -65266, -22086671]$	\(y^2+xy+y=x^3-x^2-65266x-22086671\)	4.8.0.b.1, 1924.16.0.?	$[ ]$

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