Elliptic curve search results

Results (16 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
8325.j1	8325p1	8325.j	8325p	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 3^{3} \cdot 5^{8} \cdot 37^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$0.283412941$	$1$		$2$	$15360$	$1.240696$	$3224862720/1874161$	$1.25589$	$4.21684$	$1$	$[0, 0, 1, 6750, 13906]$	\(y^2+y=x^3+6750x+13906\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(250, 4162)]$	$1$
8325.k1	8325o1	8325.k	8325o	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 3^{9} \cdot 5^{8} \cdot 37^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1.673283280$	$1$		$2$	$46080$	$1.790003$	$3224862720/1874161$	$1.25589$	$4.94706$	$1$	$[0, 0, 1, 60750, -375469]$	\(y^2+y=x^3+60750x-375469\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(249, 5494)]$	$1$
8325.u1	8325b1	8325.u	8325b	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 3^{3} \cdot 5^{2} \cdot 37^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$0.969721559$	$1$		$4$	$3072$	$0.435977$	$3224862720/1874161$	$1.25589$	$3.14709$	$1$	$[0, 0, 1, 270, 111]$	\(y^2+y=x^3+270x+111\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(161, 2053)]$	$1$
8325.w1	8325a1	8325.w	8325a	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 3^{9} \cdot 5^{2} \cdot 37^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1.946551567$	$1$		$0$	$9216$	$0.985283$	$3224862720/1874161$	$1.25589$	$3.87731$	$1$	$[0, 0, 1, 2430, -3004]$	\(y^2+y=x^3+2430x-3004\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(246/5, 18419/5)]$	$1$
133200.w1	133200eh1	133200.w	133200eh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$663552$	$1.678431$	$3224862720/1874161$	$1.25589$	$3.67117$	$1$	$[0, 0, 0, 38880, 192240]$	\(y^2=x^3+38880x+192240\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
133200.bf1	133200em1	133200.bf	133200em	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$221184$	$1.129124$	$3224862720/1874161$	$1.25589$	$3.11253$	$1$	$[0, 0, 0, 4320, -7120]$	\(y^2=x^3+4320x-7120\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
133200.ft1	133200ec1	133200.ft	133200ec	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$3317760$	$2.483150$	$3224862720/1874161$	$1.25589$	$4.48955$	$1$	$[0, 0, 0, 972000, 24030000]$	\(y^2=x^3+972000x+24030000\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
133200.ge1	133200ed1	133200.ge	133200ed	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$1105920$	$1.933844$	$3224862720/1874161$	$1.25589$	$3.93092$	$1$	$[0, 0, 0, 108000, -890000]$	\(y^2=x^3+108000x-890000\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
308025.p1	308025p1	308025.p	308025p	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37^{2} \)	\( - 3^{3} \cdot 5^{8} \cdot 37^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$21012480$	$3.046154$	$3224862720/1874161$	$1.25589$	$4.72633$	$1$	$[0, 0, 1, 9240750, 704393281]$	\(y^2+y=x^3+9240750x+704393281\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
308025.r1	308025r1	308025.r	308025r	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37^{2} \)	\( - 3^{9} \cdot 5^{8} \cdot 37^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$63037440$	$3.595463$	$3224862720/1874161$	$1.25589$	$5.24790$	$1$	$[0, 0, 1, 83166750, -19018618594]$	\(y^2+y=x^3+83166750x-19018618594\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
308025.bm1	308025bm1	308025.bm	308025bm	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37^{2} \)	\( - 3^{3} \cdot 5^{2} \cdot 37^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$5.943708225$	$1$		$0$	$4202496$	$2.241436$	$3224862720/1874161$	$1.25589$	$3.96223$	$1$	$[0, 0, 1, 369630, 5635146]$	\(y^2+y=x^3+369630x+5635146\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(138454/27, 178972534/27)]$	$1$
308025.bn1	308025bn1	308025.bn	308025bn	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 37^{2} \)	\( - 3^{9} \cdot 5^{2} \cdot 37^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$12.54920469$	$1$		$0$	$12607488$	$2.790741$	$3224862720/1874161$	$1.25589$	$4.48381$	$1$	$[0, 0, 1, 3326670, -152148949]$	\(y^2+y=x^3+3326670x-152148949\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[(108665041/425, 3489998930214/425)]$	$1$
407925.bw1	407925bw1	407925.bw	407925bw	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$5068800$	$2.213650$	$3224862720/1874161$	$1.25589$	$3.85027$	$1$	$[0, 0, 1, 330750, -4769844]$	\(y^2+y=x^3+330750x-4769844\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
407925.bx1	407925bx1	407925.bx	407925bx	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$1013760$	$1.408932$	$3224862720/1874161$	$1.25589$	$3.10278$	$1$	$[0, 0, 1, 13230, -38159]$	\(y^2+y=x^3+13230x-38159\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
407925.cs1	407925cs1	407925.cs	407925cs	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 3^{9} \cdot 5^{8} \cdot 7^{6} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$15206400$	$2.762959$	$3224862720/1874161$	$1.25589$	$4.36050$	$1$	$[0, 0, 1, 2976750, 128785781]$	\(y^2+y=x^3+2976750x+128785781\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$
407925.ct1	407925ct1	407925.ct	407925ct	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 37 \)	\( - 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 37^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	4.4.0.1		$12$	$8$	$0$	$1$	$1$		$0$	$3041280$	$1.958239$	$3224862720/1874161$	$1.25589$	$3.61302$	$1$	$[0, 0, 1, 119070, 1030286]$	\(y^2+y=x^3+119070x+1030286\)	4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1	$[ ]$	$1$

  Download displayed columns for results to