Elliptic curve search results

Results (14 matches)

 

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
32200.i1	32200z1	32200.i	32200z	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.206252980$	$1$		$20$	$51968$	$1.208944$	$-144814859264/435654247$	$0.91210$	$3.65101$	$[0, -1, 0, -3473, 197317]$	\(y^2=x^3-x^2-3473x+197317\)	70.2.0.a.1	$[(-13, 490), (92, 805)]$
32200.o1	32200l1	32200.o	32200l	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.357861680$	$1$		$4$	$259840$	$2.013664$	$-144814859264/435654247$	$0.91210$	$4.58135$	$[0, 1, 0, -86833, 24490963]$	\(y^2=x^3+x^2-86833x+24490963\)	70.2.0.a.1	$[(-117, 5750)]$
64400.z1	64400y1	64400.z	64400y	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1.677499117$	$1$		$2$	$519680$	$2.013664$	$-144814859264/435654247$	$0.91210$	$4.29456$	$[0, -1, 0, -86833, -24490963]$	\(y^2=x^3-x^2-86833x-24490963\)	70.2.0.a.1	$[(508, 7889)]$
64400.bu1	64400w1	64400.bu	64400w	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$5.879358057$	$1$		$2$	$103936$	$1.208944$	$-144814859264/435654247$	$0.91210$	$3.42247$	$[0, 1, 0, -3473, -197317]$	\(y^2=x^3+x^2-3473x-197317\)	70.2.0.a.1	$[(758, 20815)]$
225400.x1	225400bu1	225400.x	225400bu	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{13} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$12472320$	$2.986618$	$-144814859264/435654247$	$0.91210$	$4.80532$	$[0, -1, 0, -4254833, -8408909963]$	\(y^2=x^3-x^2-4254833x-8408909963\)	70.2.0.a.1	$[]$
225400.bw1	225400z1	225400.bw	225400z	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{13} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$2494464$	$2.181900$	$-144814859264/435654247$	$0.91210$	$4.02186$	$[0, 1, 0, -170193, -67339357]$	\(y^2=x^3+x^2-170193x-67339357\)	70.2.0.a.1	$[]$
257600.bl1	257600bl1	257600.bl	257600bl	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$831488$	$1.555517$	$-144814859264/435654247$	$0.91210$	$3.37546$	$[0, -1, 0, -13893, -1564643]$	\(y^2=x^3-x^2-13893x-1564643\)	70.2.0.a.1	$[]$
257600.bu1	257600bu1	257600.bu	257600bu	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$6.719687471$	$1$		$0$	$4157440$	$2.360237$	$-144814859264/435654247$	$0.91210$	$4.15052$	$[0, -1, 0, -347333, 196275037]$	\(y^2=x^3-x^2-347333x+196275037\)	70.2.0.a.1	$[(-2972/3, 447625/3)]$
257600.en1	257600en1	257600.en	257600en	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$6.551073959$	$1$		$4$	$4157440$	$2.360237$	$-144814859264/435654247$	$0.91210$	$4.15052$	$[0, 1, 0, -347333, -196275037]$	\(y^2=x^3+x^2-347333x-196275037\)	70.2.0.a.1	$[(1358, 42875), (854, 11431)]$
257600.ev1	257600ev1	257600.ev	257600ev	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.819705253$	$1$		$2$	$831488$	$1.555517$	$-144814859264/435654247$	$0.91210$	$3.37546$	$[0, 1, 0, -13893, 1564643]$	\(y^2=x^3+x^2-13893x+1564643\)	70.2.0.a.1	$[(22, 1127)]$
289800.bt1	289800bt1	289800.bt	289800bt	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$4$	$2$	$0$	$7795200$	$2.562969$	$-144814859264/435654247$	$0.91210$	$4.30508$	$[0, 0, 0, -781500, -662037500]$	\(y^2=x^3-781500x-662037500\)	70.2.0.a.1	$[]$
289800.el1	289800el1	289800.el	289800el	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.467878611$	$1$		$6$	$1559040$	$1.758249$	$-144814859264/435654247$	$0.91210$	$3.53728$	$[0, 0, 0, -31260, -5296300]$	\(y^2=x^3-31260x-5296300\)	70.2.0.a.1	$[(530, 11270)]$
450800.ck1	450800ck1	450800.ck	450800ck	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{13} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$4988928$	$2.181900$	$-144814859264/435654247$	$0.91210$	$3.80773$	$[0, -1, 0, -170193, 67339357]$	\(y^2=x^3-x^2-170193x+67339357\)	70.2.0.a.1	$[]$
450800.ew1	450800ew1	450800.ew	450800ew	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{13} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$5.424474150$	$1$		$0$	$24944640$	$2.986618$	$-144814859264/435654247$	$0.91210$	$4.54947$	$[0, 1, 0, -4254833, 8408909963]$	\(y^2=x^3+x^2-4254833x+8408909963\)	70.2.0.a.1	$[(5357/2, 572125/2)]$