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
46200.bk1	46200y2	46200.bk	46200y	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.312710$	$77860436/17787$	$0.88029$	$3.68567$	$[0, -1, 0, -11208, -351588]$	\(y^2=x^3-x^2-11208x-351588\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
46200.cp1	46200dd2	46200.cp	46200dd	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.810959917$	$1$		$3$	$18432$	$0.507991$	$77860436/17787$	$0.88029$	$2.78661$	$[0, 1, 0, -448, -2992]$	\(y^2=x^3+x^2-448x-2992\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(-8, 12)]$
92400.cp1	92400bm2	92400.cp	92400bm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.012003541$	$1$		$7$	$36864$	$0.507991$	$77860436/17787$	$0.88029$	$2.61768$	$[0, -1, 0, -448, 2992]$	\(y^2=x^3-x^2-448x+2992\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(6, 22)]$
92400.ei1	92400ct2	92400.ei	92400ct	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$2.894811159$	$1$		$3$	$184320$	$1.312710$	$77860436/17787$	$0.88029$	$3.46224$	$[0, 1, 0, -11208, 351588]$	\(y^2=x^3+x^2-11208x+351588\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(-16, 726)]$
138600.ba1	138600df2	138600.ba	138600df	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.210784465$	$1$		$7$	$147456$	$1.057297$	$77860436/17787$	$0.88029$	$3.08479$	$[0, 0, 0, -4035, 76750]$	\(y^2=x^3-4035x+76750\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(15, 140)]$
138600.cx1	138600f2	138600.cx	138600f	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.178574125$	$1$		$7$	$737280$	$1.862015$	$77860436/17787$	$0.88029$	$3.90043$	$[0, 0, 0, -100875, 9593750]$	\(y^2=x^3-100875x+9593750\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(19, 2772)]$
277200.ed1	277200ed2	277200.ed	277200ed	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.862015$	$77860436/17787$	$0.88029$	$3.68470$	$[0, 0, 0, -100875, -9593750]$	\(y^2=x^3-100875x-9593750\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
277200.nm1	277200nm2	277200.nm	277200nm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$0.940044632$	$1$		$7$	$294912$	$1.057297$	$77860436/17787$	$0.88029$	$2.91418$	$[0, 0, 0, -4035, -76750]$	\(y^2=x^3-4035x-76750\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(115, 990)]$
323400.ct1	323400ct2	323400.ct	323400ct	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.294197767$	$1$		$7$	$884736$	$1.480946$	$77860436/17787$	$0.88029$	$3.27949$	$[0, -1, 0, -21968, 982332]$	\(y^2=x^3-x^2-21968x+982332\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(166, 1372)]$
323400.jl1	323400jl2	323400.jl	323400jl	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7^{8} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$6.046296097$	$1$		$1$	$4423680$	$2.285664$	$77860436/17787$	$0.88029$	$4.04065$	$[0, 1, 0, -549208, 121693088]$	\(y^2=x^3+x^2-549208x+121693088\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(-332/11, 14773500/11)]$
369600.u1	369600u2	369600.u	369600u	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.962752710$	$1$		$15$	$294912$	$0.854564$	$77860436/17787$	$0.88029$	$2.65902$	$[0, -1, 0, -1793, -22143]$	\(y^2=x^3-x^2-1793x-22143\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(-23, 80), (57, 240)]$
369600.fw1	369600fw2	369600.fw	369600fw	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.659283$	$77860436/17787$	$0.88029$	$3.41226$	$[0, -1, 0, -44833, 2857537]$	\(y^2=x^3-x^2-44833x+2857537\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
369600.tq1	369600tq2	369600.tq	369600tq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3 \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.659283$	$77860436/17787$	$0.88029$	$3.41226$	$[0, 1, 0, -44833, -2857537]$	\(y^2=x^3+x^2-44833x-2857537\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
369600.vd1	369600vd2	369600.vd	369600vd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{16} \cdot 3 \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$294912$	$0.854564$	$77860436/17787$	$0.88029$	$2.65902$	$[0, 1, 0, -1793, 22143]$	\(y^2=x^3+x^2-1793x+22143\)	2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$