Elliptic curve search results

Results (12 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
97020.l1	97020a1	97020.l	97020a	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$6$	$16$	$0$	$1$	$1$		$2$	$4499712$	$2.848400$	$-1647408715474378752/3025$	$1.04130$	$5.77862$	$[0, 0, 0, -84040488, 296538415012]$	\(y^2=x^3-84040488x+296538415012\)	3.8.0-3.a.1.2, 6.16.0-6.b.1.2	$[ ]$
97020.t1	97020l2	97020.t	97020l	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$42$	$16$	$0$	$3.257297854$	$1$		$4$	$1928448$	$2.424751$	$-1647408715474378752/3025$	$1.04130$	$5.33589$	$[0, 0, 0, -15436008, 23342674068]$	\(y^2=x^3-15436008x+23342674068\)	3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.2, 42.16.0-6.b.1.2	$[(2269, 55), (8961/2, 18495/2)]$
97020.bq1	97020t1	97020.bq	97020t	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$42$	$16$	$0$	$1$	$1$		$0$	$642816$	$1.875443$	$-1647408715474378752/3025$	$1.04130$	$4.76183$	$[0, 0, 0, -1715112, -864543484]$	\(y^2=x^3-1715112x-864543484\)	3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.1, 42.16.0-6.b.1.1	$[ ]$
97020.cz1	97020q2	97020.cz	97020q	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$6$	$16$	$0$	$1$	$9$	$3$	$0$	$13499136$	$3.397705$	$-1647408715474378752/3025$	$1.04130$	$6.35268$	$[0, 0, 0, -756364392, -8006537205324]$	\(y^2=x^3-756364392x-8006537205324\)	3.8.0-3.a.1.1, 6.16.0-6.b.1.1	$[ ]$
388080.o1	388080o2	388080.o	388080o	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$84$	$16$	$0$	$11.32973191$	$1$		$0$	$7713792$	$2.424751$	$-1647408715474378752/3025$	$1.04130$	$4.76108$	$[0, 0, 0, -15436008, -23342674068]$	\(y^2=x^3-15436008x-23342674068\)	3.4.0.a.1, 6.8.0.b.1, 84.16.0.?	$[(368554/9, 18183682/9)]$
388080.hg1	388080hg1	388080.hg	388080hg	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12$	$16$	$0$	$19.72614614$	$1$		$0$	$17998848$	$2.848400$	$-1647408715474378752/3025$	$1.04130$	$5.15613$	$[0, 0, 0, -84040488, -296538415012]$	\(y^2=x^3-84040488x-296538415012\)	3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1	$[(965168689/296, 8774039473065/296)]$
388080.ld1	388080ld2	388080.ld	388080ld	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$12$	$16$	$0$	$3.741109418$	$1$		$2$	$53996544$	$3.397705$	$-1647408715474378752/3025$	$1.04130$	$5.66834$	$[0, 0, 0, -756364392, 8006537205324]$	\(y^2=x^3-756364392x+8006537205324\)	3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2	$[(15850, 6182)]$
388080.me1	388080me1	388080.me	388080me	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$84$	$16$	$0$	$0.706888895$	$1$		$2$	$2571264$	$1.875443$	$-1647408715474378752/3025$	$1.04130$	$4.24887$	$[0, 0, 0, -1715112, 864543484]$	\(y^2=x^3-1715112x+864543484\)	3.4.0.a.1, 6.8.0.b.1, 84.16.0.?	$[(758, 90)]$
485100.k1	485100k1	485100.k	485100k	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$30$	$16$	$0$	$1$	$1$		$0$	$107993088$	$3.653118$	$-1647408715474378752/3025$	$1.04130$	$5.80584$	$[0, 0, 0, -2101012200, 37067301876500]$	\(y^2=x^3-2101012200x+37067301876500\)	3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2	$[ ]$
485100.de1	485100de1	485100.de	485100de	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$210$	$16$	$0$	$34.90466720$	$1$		$0$	$15427584$	$2.680161$	$-1647408715474378752/3025$	$1.04130$	$4.91404$	$[0, 0, 0, -42877800, -108067935500]$	\(y^2=x^3-42877800x-108067935500\)	3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.?	$[(41282036911051745/185758, 8387550689651977777211025/185758)]$
485100.dz1	485100dz2	485100.dz	485100dz	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$30$	$16$	$0$	$57.06021578$	$1$		$0$	$323979264$	$4.202423$	$-1647408715474378752/3025$	$1.04130$	$6.30932$	$[0, 0, 0, -18909109800, -1000817150665500]$	\(y^2=x^3-18909109800x-1000817150665500\)	3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1	$[(72414639883934108876983389/19967281795, 314086328024946117722111026723354552287/19967281795)]$
485100.il1	485100il2	485100.il	485100il	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$210$	$16$	$0$	$1$	$1$		$0$	$46282752$	$3.229469$	$-1647408715474378752/3025$	$1.04130$	$5.41753$	$[0, 0, 0, -385900200, 2917834258500]$	\(y^2=x^3-385900200x+2917834258500\)	3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.?	$[ ]$

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