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
7770.n1	7770n1	7770.n	7770n	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{2} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$15540$	$2$	$0$	$2.661858378$	$1$		$2$	$3520$	$0.408988$	$1509398240111/917621460$	$0.91107$	$3.13046$	$[1, 1, 1, 239, 419]$	\(y^2+xy+y=x^3+x^2+239x+419\)	15540.2.0.?	$[(7, 46)]$
23310.ba1	23310x1	23310.ba	23310x	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{2} \cdot 3^{17} \cdot 5 \cdot 7 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1$	$1$		$0$	$28160$	$0.958295$	$1509398240111/917621460$	$0.91107$	$3.44393$	$[1, -1, 0, 2151, -9167]$	\(y^2+xy=x^3-x^2+2151x-9167\)	15540.2.0.?	$[]$
38850.bd1	38850bf1	38850.bd	38850bf	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{2} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$0.113324562$	$1$		$10$	$84480$	$1.213707$	$1509398240111/917621460$	$0.91107$	$3.56749$	$[1, 0, 1, 5974, 40448]$	\(y^2+xy+y=x^3+5974x+40448\)	15540.2.0.?	$[(147, 1951)]$
54390.da1	54390db1	54390.da	54390db	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{11} \cdot 5 \cdot 7^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$0.780590431$	$1$		$2$	$168960$	$1.381943$	$1509398240111/917621460$	$0.91107$	$3.64256$	$[1, 0, 0, 11710, -108648]$	\(y^2+xy=x^3+11710x-108648\)	15540.2.0.?	$[(172, 2560)]$
62160.bw1	62160cf1	62160.bw	62160cf	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$0.797253015$	$1$		$4$	$84480$	$1.102137$	$1509398240111/917621460$	$0.91107$	$3.29428$	$[0, 1, 0, 3824, -19180]$	\(y^2=x^3+x^2+3824x-19180\)	15540.2.0.?	$[(44, 486)]$
116550.du1	116550ei1	116550.du	116550ei	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{2} \cdot 3^{17} \cdot 5^{7} \cdot 7 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1$	$1$		$0$	$675840$	$1.763014$	$1509398240111/917621460$	$0.91107$	$3.79657$	$[1, -1, 1, 53770, -1092103]$	\(y^2+xy+y=x^3-x^2+53770x-1092103\)	15540.2.0.?	$[]$
163170.bl1	163170ev1	163170.bl	163170ev	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{17} \cdot 5 \cdot 7^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1.549074406$	$1$		$2$	$1351680$	$1.931250$	$1509398240111/917621460$	$0.91107$	$3.85834$	$[1, -1, 0, 105390, 2933496]$	\(y^2+xy=x^3-x^2+105390x+2933496\)	15540.2.0.?	$[(132, 4308)]$
186480.de1	186480r1	186480.de	186480r	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 3^{17} \cdot 5 \cdot 7 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1$	$1$		$0$	$675840$	$1.651442$	$1509398240111/917621460$	$0.91107$	$3.53921$	$[0, 0, 0, 34413, 552274]$	\(y^2=x^3+34413x+552274\)	15540.2.0.?	$[]$
248640.cj1	248640cj1	248640.cj	248640cj	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{20} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1$	$1$		$0$	$675840$	$1.448709$	$1509398240111/917621460$	$0.91107$	$3.26144$	$[0, -1, 0, 15295, -168735]$	\(y^2=x^3-x^2+15295x-168735\)	15540.2.0.?	$[]$
248640.im1	248640im1	248640.im	248640im	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \)	\( - 2^{20} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1.656292622$	$1$		$2$	$675840$	$1.448709$	$1509398240111/917621460$	$0.91107$	$3.26144$	$[0, 1, 0, 15295, 168735]$	\(y^2=x^3+x^2+15295x+168735\)	15540.2.0.?	$[(73, 1296)]$
271950.t1	271950t1	271950.t	271950t	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 2^{2} \cdot 3^{11} \cdot 5^{7} \cdot 7^{7} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1.959589691$	$1$		$2$	$4055040$	$2.186661$	$1509398240111/917621460$	$0.91107$	$3.94576$	$[1, 1, 0, 292750, -13581000]$	\(y^2+xy=x^3+x^2+292750x-13581000\)	15540.2.0.?	$[(90, 3630)]$
287490.v1	287490v1	287490.v	287490v	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \)	\( - 2^{2} \cdot 3^{11} \cdot 5 \cdot 7 \cdot 37^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$3.461564749$	$1$		$2$	$4815360$	$2.214447$	$1509398240111/917621460$	$0.91107$	$3.95485$	$[1, 1, 0, 327163, 16325169]$	\(y^2+xy=x^3+x^2+327163x+16325169\)	15540.2.0.?	$[(2605, 134913)]$
310800.dk1	310800dk1	310800.dk	310800dk	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \)	\( - 2^{14} \cdot 3^{11} \cdot 5^{7} \cdot 7 \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1$	$1$		$0$	$2027520$	$1.906855$	$1509398240111/917621460$	$0.91107$	$3.63861$	$[0, -1, 0, 95592, -2588688]$	\(y^2=x^3-x^2+95592x-2588688\)	15540.2.0.?	$[]$
435120.dt1	435120dt1	435120.dt	435120dt	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \)	\( - 2^{14} \cdot 3^{11} \cdot 5 \cdot 7^{7} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15540$	$2$	$0$	$1$	$1$		$0$	$4055040$	$2.075092$	$1509398240111/917621460$	$0.91107$	$3.69980$	$[0, -1, 0, 187360, 6953472]$	\(y^2=x^3-x^2+187360x+6953472\)	15540.2.0.?	$[]$