Elliptic curve search results

Results (10 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
35490.bc1	35490z1	35490.bc	35490z	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$2306304$	$2.764595$	$17396130889999849/960180480000$	$0.97971$	$5.52778$	$[1, 0, 1, -5043809, 4146443732]$	\(y^2+xy+y=x^3-5043809x+4146443732\)	168.2.0.?	$[ ]$
35490.dt1	35490dt1	35490.dt	35490dt	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.021773998$	$1$		$22$	$177408$	$1.482121$	$17396130889999849/960180480000$	$0.97971$	$4.05888$	$[1, 0, 0, -29845, 1885025]$	\(y^2+xy=x^3-29845x+1885025\)	168.2.0.?	$[(-130, 1955)]$
106470.bn1	106470bq1	106470.bn	106470bq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{13} \cdot 5^{4} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.760158795$	$1$		$4$	$1419264$	$2.031425$	$17396130889999849/960180480000$	$0.97971$	$4.24311$	$[1, -1, 0, -268605, -50895675]$	\(y^2+xy=x^3-x^2-268605x-50895675\)	168.2.0.?	$[(-345, 960)]$
106470.ey1	106470fg1	106470.ey	106470fg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{13} \cdot 5^{4} \cdot 7^{3} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1$	$1$		$0$	$18450432$	$3.313900$	$17396130889999849/960180480000$	$0.97971$	$5.57260$	$[1, -1, 1, -45394277, -111953980771]$	\(y^2+xy+y=x^3-x^2-45394277x-111953980771\)	168.2.0.?	$[ ]$
177450.i1	177450jt1	177450.i	177450jt	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{10} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$4.610306893$	$1$		$2$	$4257792$	$2.286839$	$17396130889999849/960180480000$	$0.97971$	$4.31736$	$[1, 1, 0, -746125, 235628125]$	\(y^2+xy=x^3+x^2-746125x+235628125\)	168.2.0.?	$[(405, 85)]$
177450.hq1	177450eb1	177450.hq	177450eb	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{10} \cdot 7^{3} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$0.829734191$	$1$		$6$	$55351296$	$3.569313$	$17396130889999849/960180480000$	$0.97971$	$5.59066$	$[1, 1, 1, -126095213, 518305466531]$	\(y^2+xy+y=x^3+x^2-126095213x+518305466531\)	168.2.0.?	$[(4295, 234452)]$
248430.ck1	248430ck1	248430.ck	248430ck	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{4} \cdot 7^{9} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.487832725$	$1$		$0$	$110702592$	$3.737549$	$17396130889999849/960180480000$	$0.97971$	$5.60175$	$[1, 1, 0, -247146617, -1422477346779]$	\(y^2+xy=x^3+x^2-247146617x-1422477346779\)	168.2.0.?	$[(-32337/2, 1771347/2)]$
248430.fp1	248430fp1	248430.fp	248430fp	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13^{2} \)	\( 2^{11} \cdot 3^{7} \cdot 5^{4} \cdot 7^{9} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$1.503427714$	$1$		$4$	$8515584$	$2.455074$	$17396130889999849/960180480000$	$0.97971$	$4.36294$	$[1, 1, 1, -1462406, -648025981]$	\(y^2+xy+y=x^3+x^2-1462406x-648025981\)	168.2.0.?	$[(-631, 5215)]$
283920.be1	283920be1	283920.be	283920be	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{23} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$5.672196097$	$1$		$2$	$55351296$	$3.457741$	$17396130889999849/960180480000$	$0.97971$	$5.27477$	$[0, -1, 0, -80700936, -265372398864]$	\(y^2=x^3-x^2-80700936x-265372398864\)	168.2.0.?	$[(-4759, 104300)]$
283920.cs1	283920cs1	283920.cs	283920cs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{23} \cdot 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$168$	$2$	$0$	$2.705122330$	$1$		$2$	$4257792$	$2.175266$	$17396130889999849/960180480000$	$0.97971$	$4.04913$	$[0, -1, 0, -477520, -120641600]$	\(y^2=x^3-x^2-477520x-120641600\)	168.2.0.?	$[(-328, 768)]$

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