Elliptic curve search results

Results (18 matches)

  Download displayed columns for results to

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	Manin constant
17340.b1	17340a1	17340.b	17340a	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.634855$	$-1192310528/84375$	$0.91788$	$3.30781$	$[0, -1, 0, -946, -11555]$	\(y^2=x^3-x^2-946x-11555\)	510.2.0.?	$[ ]$	$1$
17340.q1	17340q1	17340.q	17340q	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$195840$	$2.051460$	$-1192310528/84375$	$0.91788$	$5.04940$	$[0, 1, 0, -273490, -58410475]$	\(y^2=x^3+x^2-273490x-58410475\)	510.2.0.?	$[ ]$	$1$
52020.q1	52020v1	52020.q	52020v	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$3.190308655$	$1$		$2$	$1566720$	$2.600769$	$-1192310528/84375$	$0.91788$	$5.14557$	$[0, 0, 0, -2461413, 1574621413]$	\(y^2=x^3-2461413x+1574621413\)	510.2.0.?	$[(2601, 112999)]$	$1$
52020.x1	52020bh1	52020.x	52020bh	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 17^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.103097739$	$1$		$30$	$92160$	$1.184160$	$-1192310528/84375$	$0.91788$	$3.58017$	$[0, 0, 0, -8517, 320501]$	\(y^2=x^3-8517x+320501\)	510.2.0.?	$[(187, 2295), (17, 425)]$	$1$
69360.bg1	69360cv1	69360.bg	69360cv	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.668230047$	$1$		$2$	$783360$	$2.051460$	$-1192310528/84375$	$0.91788$	$4.42144$	$[0, -1, 0, -273490, 58410475]$	\(y^2=x^3-x^2-273490x+58410475\)	510.2.0.?	$[(2505, 122825)]$	$1$
69360.cr1	69360de1	69360.cr	69360de	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.973694319$	$1$		$2$	$46080$	$0.634855$	$-1192310528/84375$	$0.91788$	$2.89644$	$[0, 1, 0, -946, 11555]$	\(y^2=x^3+x^2-946x+11555\)	510.2.0.?	$[(11, 51)]$	$1$
86700.e1	86700h1	86700.e	86700h	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 17^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$4700160$	$2.856182$	$-1192310528/84375$	$0.91788$	$5.18396$	$[0, -1, 0, -6837258, -7287634863]$	\(y^2=x^3-x^2-6837258x-7287634863\)	510.2.0.?	$[ ]$	$1$
86700.by1	86700bl1	86700.by	86700bl	$1$	$1$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.443369592$	$1$		$4$	$276480$	$1.439573$	$-1192310528/84375$	$0.91788$	$3.68888$	$[0, 1, 0, -23658, -1491687]$	\(y^2=x^3+x^2-23658x-1491687\)	510.2.0.?	$[(198, 1275)]$	$1$
208080.p1	208080bs1	208080.p	208080bs	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$7.807588152$	$1$		$0$	$6266880$	$2.600769$	$-1192310528/84375$	$0.91788$	$4.56306$	$[0, 0, 0, -2461413, -1574621413]$	\(y^2=x^3-2461413x-1574621413\)	510.2.0.?	$[(811801/20, 338392701/20)]$	$1$
208080.gx1	208080bi1	208080.gx	208080bi	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$368640$	$1.184160$	$-1192310528/84375$	$0.91788$	$3.17487$	$[0, 0, 0, -8517, -320501]$	\(y^2=x^3-8517x-320501\)	510.2.0.?	$[ ]$	$1$
260100.q1	260100q1	260100.q	260100q	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{11} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$5.007925227$	$1$		$2$	$37601280$	$3.405487$	$-1192310528/84375$	$0.91788$	$5.25586$	$[0, 0, 0, -61535325, 196827676625]$	\(y^2=x^3-61535325x+196827676625\)	510.2.0.?	$[(4960, 116775)]$	$1$
260100.do1	260100do1	260100.do	260100do	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{11} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.709877755$	$1$		$0$	$2211840$	$1.988880$	$-1192310528/84375$	$0.91788$	$3.89251$	$[0, 0, 0, -212925, 40062625]$	\(y^2=x^3-212925x+40062625\)	510.2.0.?	$[(2465/2, 95625/2)]$	$1$
277440.cb1	277440cb1	277440.cb	277440cb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$55.34547900$	$1$		$0$	$6266880$	$2.398037$	$-1192310528/84375$	$0.91788$	$4.26421$	$[0, -1, 0, -1093961, -466189839]$	\(y^2=x^3-x^2-1093961x-466189839\)	510.2.0.?	$[(64991575989536678459096320/135469459259, 497608017899338273962634457880551209141/135469459259)]$	$1$
277440.em1	277440em1	277440.em	277440em	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$0.999991011$	$1$		$2$	$368640$	$0.981429$	$-1192310528/84375$	$0.91788$	$2.90789$	$[0, -1, 0, -3785, 96225]$	\(y^2=x^3-x^2-3785x+96225\)	510.2.0.?	$[(40, 85)]$	$1$
277440.ff1	277440ff1	277440.ff	277440ff	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$4.785657137$	$1$		$0$	$6266880$	$2.398037$	$-1192310528/84375$	$0.91788$	$4.26421$	$[0, 1, 0, -1093961, 466189839]$	\(y^2=x^3+x^2-1093961x+466189839\)	510.2.0.?	$[(12226/5, 869601/5)]$	$1$
277440.hn1	277440hn1	277440.hn	277440hn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 17^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1.033318155$	$1$		$2$	$368640$	$0.981429$	$-1192310528/84375$	$0.91788$	$2.90789$	$[0, 1, 0, -3785, -96225]$	\(y^2=x^3+x^2-3785x-96225\)	510.2.0.?	$[(130, 1275)]$	$1$
346800.w1	346800w1	346800.w	346800w	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 17^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$1$	$1$		$0$	$1105920$	$1.439573$	$-1192310528/84375$	$0.91788$	$3.28800$	$[0, -1, 0, -23658, 1491687]$	\(y^2=x^3-x^2-23658x+1491687\)	510.2.0.?	$[ ]$	$1$
346800.ky1	346800ky1	346800.ky	346800ky	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 17^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$510$	$2$	$0$	$3.924061468$	$1$		$2$	$18800640$	$2.856182$	$-1192310528/84375$	$0.91788$	$4.62060$	$[0, 1, 0, -6837258, 7287634863]$	\(y^2=x^3+x^2-6837258x+7287634863\)	510.2.0.?	$[(-1977, 114375)]$	$1$

  Download displayed columns for results to