Elliptic curve search results

Results (20 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
7220.a1	7220e1	7220.a	7220e	$1$	$1$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.134661353$	$1$		$2$	$1512$	$-0.056525$	$1245184/5$	$0.87552$	$2.86663$	$1$	$[0, 1, 0, -101, -425]$	\(y^2=x^3+x^2-101x-425\)	10.2.0.a.1	$[(-6, 1)]$	$1$
7220.e1	7220a1	7220.e	7220a	$1$	$1$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$28728$	$1.415695$	$1245184/5$	$0.87552$	$4.85508$	$1$	$[0, -1, 0, -36581, 2695841]$	\(y^2=x^3-x^2-36581x+2695841\)	10.2.0.a.1	$[ ]$	$1$
28880.e1	28880r1	28880.e	28880r	$1$	$1$	\( 2^{4} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$114912$	$1.415695$	$1245184/5$	$0.87552$	$4.19977$	$1$	$[0, 1, 0, -36581, -2695841]$	\(y^2=x^3+x^2-36581x-2695841\)	10.2.0.a.1	$[ ]$	$1$
28880.bb1	28880x1	28880.bb	28880x	$1$	$1$	\( 2^{4} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.422976904$	$1$		$2$	$6048$	$-0.056525$	$1245184/5$	$0.87552$	$2.47971$	$1$	$[0, -1, 0, -101, 425]$	\(y^2=x^3-x^2-101x+425\)	10.2.0.a.1	$[(1, 18)]$	$1$
36100.c1	36100d1	36100.c	36100d	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{7} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$689472$	$2.220413$	$1245184/5$	$0.87552$	$5.03067$	$1$	$[0, 1, 0, -914533, 335151063]$	\(y^2=x^3+x^2-914533x+335151063\)	10.2.0.a.1	$[ ]$	$1$
36100.j1	36100i1	36100.j	36100i	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{7} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$2.410889399$	$1$		$0$	$36288$	$0.748194$	$1245184/5$	$0.87552$	$3.34718$	$1$	$[0, -1, 0, -2533, -48063]$	\(y^2=x^3-x^2-2533x-48063\)	10.2.0.a.1	$[(-257/3, 350/3)]$	$1$
64980.x1	64980bt1	64980.x	64980bt	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.488641999$	$1$		$6$	$36288$	$0.492781$	$1245184/5$	$0.87552$	$2.89307$	$1$	$[0, 0, 0, -912, 10564]$	\(y^2=x^3-912x+10564\)	10.2.0.a.1	$[(20, 18)]$	$1$
64980.y1	64980bf1	64980.y	64980bf	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$4$	$2$	$0$	$689472$	$1.965000$	$1245184/5$	$0.87552$	$4.48727$	$1$	$[0, 0, 0, -329232, -72458476]$	\(y^2=x^3-329232x-72458476\)	10.2.0.a.1	$[ ]$	$1$
115520.k1	115520v1	115520.k	115520v	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$919296$	$1.762268$	$1245184/5$	$0.87552$	$4.05710$	$1$	$[0, 1, 0, -146325, 21420403]$	\(y^2=x^3+x^2-146325x+21420403\)	10.2.0.a.1	$[ ]$	$1$
115520.q1	115520cy1	115520.q	115520cy	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5 \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$48384$	$0.290049$	$1245184/5$	$0.87552$	$2.54158$	$1$	$[0, 1, 0, -405, 2995]$	\(y^2=x^3+x^2-405x+2995\)	10.2.0.a.1	$[ ]$	$1$
115520.cq1	115520bc1	115520.cq	115520bc	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$10.62278803$	$1$		$0$	$48384$	$0.290049$	$1245184/5$	$0.87552$	$2.54158$	$1$	$[0, -1, 0, -405, -2995]$	\(y^2=x^3-x^2-405x-2995\)	10.2.0.a.1	$[(-74948/81, 1705447/81)]$	$1$
115520.cw1	115520cl1	115520.cw	115520cl	$1$	$1$	\( 2^{6} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 5 \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$48.63995681$	$1$		$0$	$919296$	$1.762268$	$1245184/5$	$0.87552$	$4.05710$	$1$	$[0, -1, 0, -146325, -21420403]$	\(y^2=x^3-x^2-146325x-21420403\)	10.2.0.a.1	$[(-2488608299327173640132/3346276017, 10116302008335221469635770259033/3346276017)]$	$1$
144400.e1	144400c1	144400.e	144400c	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{7} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$0.773025314$	$1$		$4$	$145152$	$0.748194$	$1245184/5$	$0.87552$	$2.95660$	$1$	$[0, 1, 0, -2533, 48063]$	\(y^2=x^3+x^2-2533x+48063\)	10.2.0.a.1	$[(23, 50)]$	$1$
144400.cl1	144400bn1	144400.cl	144400bn	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5^{7} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$2757888$	$2.220413$	$1245184/5$	$0.87552$	$4.44365$	$1$	$[0, -1, 0, -914533, -335151063]$	\(y^2=x^3-x^2-914533x-335151063\)	10.2.0.a.1	$[ ]$	$1$
259920.gq1	259920gq1	259920.gq	259920gq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$2.528133581$	$1$		$0$	$145152$	$0.492781$	$1245184/5$	$0.87552$	$2.57140$	$1$	$[0, 0, 0, -912, -10564]$	\(y^2=x^3-912x-10564\)	10.2.0.a.1	$[(-71/2, 45/2)]$	$1$
259920.gr1	259920gr1	259920.gr	259920gr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$2757888$	$1.965000$	$1245184/5$	$0.87552$	$3.98834$	$1$	$[0, 0, 0, -329232, 72458476]$	\(y^2=x^3-329232x+72458476\)	10.2.0.a.1	$[ ]$	$1$
324900.eq1	324900eq1	324900.eq	324900eq	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$4.760380057$	$1$		$4$	$16547328$	$2.769718$	$1245184/5$	$0.87552$	$4.67910$	$1$	$[0, 0, 0, -8230800, -9057309500]$	\(y^2=x^3-8230800x-9057309500\)	10.2.0.a.1	$[(-1576, 18)]$	$1$
324900.er1	324900er1	324900.er	324900er	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$870912$	$1.297501$	$1245184/5$	$0.87552$	$3.28707$	$1$	$[0, 0, 0, -22800, 1320500]$	\(y^2=x^3-22800x+1320500\)	10.2.0.a.1	$[ ]$	$1$
353780.l1	353780l1	353780.l	353780l	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 7^{6} \cdot 19^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$4.408797669$	$1$		$4$	$8273664$	$2.388649$	$1245184/5$	$0.87552$	$4.29000$	$1$	$[0, 1, 0, -1792485, -921088505]$	\(y^2=x^3+x^2-1792485x-921088505\)	10.2.0.a.1	$[(3369, 176890), (-747, 1274)]$	$1$
353780.bm1	353780bm1	353780.bm	353780bm	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 7^{6} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$6.151753396$	$1$		$0$	$435456$	$0.916430$	$1245184/5$	$0.87552$	$2.90725$	$1$	$[0, -1, 0, -4965, 135857]$	\(y^2=x^3-x^2-4965x+135857\)	10.2.0.a.1	$[(3464/5, 180663/5)]$	$1$

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