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
95550.s1	95550c1	95550.s	95550c	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$780$	$16$	$0$	$3.890164092$	$1$		$2$	$2643840$	$2.349377$	$-11167382937025/102503232$	$0.98278$	$4.70357$	$[1, 1, 0, -1332825, 596377125]$	\(y^2+xy=x^3+x^2-1332825x+596377125\)	3.4.0.a.1, 15.8.0-3.a.1.2, 52.2.0.a.1, 156.8.0.?, 780.16.0.?	$[(906, 11103)]$
95550.dt1	95550eo1	95550.dt	95550eo	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{10} \cdot 7^{10} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$5460$	$16$	$0$	$1$	$1$		$0$	$18506880$	$3.322330$	$-11167382937025/102503232$	$0.98278$	$5.72172$	$[1, 0, 1, -65308451, -204753279202]$	\(y^2+xy+y=x^3-65308451x-204753279202\)	3.4.0.a.1, 52.2.0.a.1, 105.8.0.?, 156.8.0.?, 5460.16.0.?	$[ ]$
95550.gq1	95550hx1	95550.gq	95550hx	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{10} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1092$	$16$	$0$	$1$	$1$		$0$	$3701376$	$2.517612$	$-11167382937025/102503232$	$0.98278$	$4.87962$	$[1, 1, 1, -2612338, -1639071169]$	\(y^2+xy+y=x^3+x^2-2612338x-1639071169\)	3.4.0.a.1, 21.8.0-3.a.1.1, 52.2.0.a.1, 156.8.0.?, 1092.16.0.?	$[ ]$
95550.jh1	95550kl1	95550.jh	95550kl	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \cdot 13^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$156$	$16$	$0$	$0.201437584$	$1$		$20$	$528768$	$1.544659$	$-11167382937025/102503232$	$0.98278$	$3.86148$	$[1, 0, 0, -53313, 4771017]$	\(y^2+xy=x^3-53313x+4771017\)	3.8.0-3.a.1.2, 52.2.0.a.1, 156.16.0.?	$[(132, 129)]$
286650.gi1	286650gi1	286650.gi	286650gi	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{4} \cdot 7^{10} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1092$	$16$	$0$	$1$	$1$		$0$	$29611008$	$3.066917$	$-11167382937025/102503232$	$0.98278$	$4.97757$	$[1, -1, 0, -23511042, 44231410516]$	\(y^2+xy=x^3-x^2-23511042x+44231410516\)	3.4.0.a.1, 21.8.0-3.a.1.2, 52.2.0.a.1, 156.8.0.?, 1092.16.0.?	$[ ]$
286650.gu1	286650gu1	286650.gu	286650gu	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$156$	$16$	$0$	$1$	$1$		$0$	$4230144$	$2.093964$	$-11167382937025/102503232$	$0.98278$	$4.04844$	$[1, -1, 0, -479817, -128817459]$	\(y^2+xy=x^3-x^2-479817x-128817459\)	3.8.0-3.a.1.1, 52.2.0.a.1, 156.16.0.?	$[ ]$
286650.ph1	286650ph1	286650.ph	286650ph	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{10} \cdot 7^{4} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$780$	$16$	$0$	$28.67412364$	$1$		$0$	$21150720$	$2.898682$	$-11167382937025/102503232$	$0.98278$	$4.81692$	$[1, -1, 1, -11995430, -16114177803]$	\(y^2+xy+y=x^3-x^2-11995430x-16114177803\)	3.4.0.a.1, 15.8.0-3.a.1.1, 52.2.0.a.1, 156.8.0.?, 780.16.0.?	$[(11799492975467/41027, 33886859196307396593/41027)]$
286650.pq1	286650pq1	286650.pq	286650pq	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( - 2^{6} \cdot 3^{12} \cdot 5^{10} \cdot 7^{10} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$5460$	$16$	$0$	$6.676752480$	$1$		$2$	$148055040$	$3.871639$	$-11167382937025/102503232$	$0.98278$	$5.74605$	$[1, -1, 1, -587776055, 5528338538447]$	\(y^2+xy+y=x^3-x^2-587776055x+5528338538447\)	3.4.0.a.1, 52.2.0.a.1, 105.8.0.?, 156.8.0.?, 5460.16.0.?	$[(26193, 2833396)]$

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