Elliptic curve search results

Results (11 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
3206.a1	3206b1	3206.a	3206b	$1$	$1$	\( 2 \cdot 7 \cdot 229 \)	\( 2^{2} \cdot 7^{2} \cdot 229 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$458$	$2$	$0$	$0.191612760$	$1$		$18$	$416$	$-0.413092$	$95443993/44884$	$0.77705$	$2.27605$	$[1, 1, 0, -9, 1]$	\(y^2+xy=x^3+x^2-9x+1\)	458.2.0.?	$[(4, 5), (-3, 5)]$
22442.e1	22442e1	22442.e	22442e	$1$	$1$	\( 2 \cdot 7^{2} \cdot 229 \)	\( 2^{2} \cdot 7^{8} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1.285627082$	$1$		$4$	$19968$	$0.559863$	$95443993/44884$	$0.77705$	$2.99935$	$[1, 0, 1, -467, -1718]$	\(y^2+xy+y=x^3-467x-1718\)	458.2.0.?	$[(25, 36)]$
25648.m1	25648l1	25648.m	25648l	$1$	$1$	\( 2^{4} \cdot 7 \cdot 229 \)	\( 2^{14} \cdot 7^{2} \cdot 229 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$0.670933075$	$1$		$12$	$9984$	$0.280055$	$95443993/44884$	$0.77705$	$2.62916$	$[0, 1, 0, -152, -364]$	\(y^2=x^3+x^2-152x-364\)	458.2.0.?	$[(-4, 14), (-10, 16)]$
28854.bc1	28854v1	28854.bc	28854v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 229 \)	\( 2^{2} \cdot 3^{6} \cdot 7^{2} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$12480$	$0.136214$	$95443993/44884$	$0.77705$	$2.43094$	$[1, -1, 1, -86, -111]$	\(y^2+xy+y=x^3-x^2-86x-111\)	458.2.0.?	$[ ]$
80150.q1	80150i1	80150.q	80150i	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 229 \)	\( 2^{2} \cdot 5^{6} \cdot 7^{2} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$44928$	$0.391627$	$95443993/44884$	$0.77705$	$2.48242$	$[1, 0, 0, -238, 592]$	\(y^2+xy=x^3-238x+592\)	458.2.0.?	$[ ]$
102592.q1	102592bh1	102592.q	102592bh	$1$	$1$	\( 2^{6} \cdot 7 \cdot 229 \)	\( 2^{20} \cdot 7^{2} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1.714195804$	$1$		$2$	$79872$	$0.626629$	$95443993/44884$	$0.77705$	$2.67371$	$[0, -1, 0, -609, -2303]$	\(y^2=x^3-x^2-609x-2303\)	458.2.0.?	$[(-21, 28)]$
102592.bl1	102592p1	102592.bl	102592p	$1$	$1$	\( 2^{6} \cdot 7 \cdot 229 \)	\( 2^{20} \cdot 7^{2} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$2.518412535$	$1$		$2$	$79872$	$0.626629$	$95443993/44884$	$0.77705$	$2.67371$	$[0, 1, 0, -609, 2303]$	\(y^2=x^3+x^2-609x+2303\)	458.2.0.?	$[(-14, 91)]$
179536.s1	179536l1	179536.s	179536l	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 229 \)	\( 2^{14} \cdot 7^{8} \cdot 229 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$1$	$1$		$0$	$479232$	$1.253010$	$95443993/44884$	$0.77705$	$3.17134$	$[0, -1, 0, -7464, 109936]$	\(y^2=x^3-x^2-7464x+109936\)	458.2.0.?	$[ ]$
201978.bt1	201978e1	201978.bt	201978e	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 229 \)	\( 2^{2} \cdot 3^{6} \cdot 7^{8} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$3.571110141$	$1$		$0$	$599040$	$1.109169$	$95443993/44884$	$0.77705$	$2.99946$	$[1, -1, 1, -4199, 46379]$	\(y^2+xy+y=x^3-x^2-4199x+46379\)	458.2.0.?	$[(43/2, 345/2)]$
230832.ch1	230832ch1	230832.ch	230832ch	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 229 \)	\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$0.995114177$	$1$		$4$	$299520$	$0.829361$	$95443993/44884$	$0.77705$	$2.69514$	$[0, 0, 0, -1371, 8458]$	\(y^2=x^3-1371x+8458\)	458.2.0.?	$[(-3, 112)]$
387926.k1	387926k1	387926.k	387926k	$1$	$1$	\( 2 \cdot 7 \cdot 11^{2} \cdot 229 \)	\( 2^{2} \cdot 7^{2} \cdot 11^{6} \cdot 229 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$458$	$2$	$0$	$2.167193834$	$1$		$2$	$561600$	$0.785855$	$95443993/44884$	$0.77705$	$2.54585$	$[1, 1, 1, -1152, -6995]$	\(y^2+xy+y=x^3+x^2-1152x-6995\)	458.2.0.?	$[(-7, 31)]$

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