Elliptic curves over $\Q$ of conductor 30064

Results (11 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
30064.a1	30064c1	30064.a	30064c	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{10} \cdot 1879 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$0.593367916$	$1$		$36$	$10752$	$0.053912$	$-381775972/1879$	$0.74586$	$2.58947$	$[0, 1, 0, -152, 676]$	\(y^2=x^3+x^2-152x+676\)	3758.2.0.?	$[(6, 4), (8, 6), (7, 2)]$
30064.b1	30064f1	30064.b	30064f	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{14} \cdot 1879 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$1.296341746$	$1$		$10$	$6912$	$0.122999$	$6128487/7516$	$0.72623$	$2.33330$	$[0, 0, 0, 61, 194]$	\(y^2=x^3+61x+194\)	3758.2.0.?	$[(1, 16), (-2, 8)]$
30064.c1	30064d1	30064.c	30064d	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{8} \cdot 1879 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$1.427730257$	$1$		$8$	$2048$	$-0.198901$	$-5256144/1879$	$0.79317$	$2.08524$	$[0, 0, 0, -23, 54]$	\(y^2=x^3-23x+54\)	3758.2.0.?	$[(5, 8), (2, 4)]$
30064.d1	30064e1	30064.d	30064e	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{32} \cdot 1879 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$1$	$1$		$0$	$28800$	$1.155636$	$-2347334289/1970274304$	$0.96252$	$3.60531$	$[0, 0, 0, -443, -136726]$	\(y^2=x^3-443x-136726\)	3758.2.0.?	$[]$
30064.e1	30064a1	30064.e	30064a	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{8} \cdot 1879 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$1.253799692$	$1$		$2$	$6656$	$0.302222$	$-473434325712/1879$	$0.83166$	$3.14501$	$[0, 0, 0, -1031, 12742]$	\(y^2=x^3-1031x+12742\)	3758.2.0.?	$[(18, 4)]$
30064.f1	30064i2	30064.f	30064i	$2$	$2$	\( 2^{4} \cdot 1879 \)	\( 2^{17} \cdot 1879^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$15032$	$12$	$0$	$1$	$1$		$1$	$38640$	$0.933722$	$251598106297/112980512$	$0.86187$	$3.35259$	$[0, -1, 0, -2104, 18288]$	\(y^2=x^3-x^2-2104x+18288\)	2.3.0.a.1, 8.6.0.b.1, 7516.6.0.?, 15032.12.0.?	$[]$
30064.f2	30064i1	30064.f	30064i	$2$	$2$	\( 2^{4} \cdot 1879 \)	\( - 2^{22} \cdot 1879 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$15032$	$12$	$0$	$1$	$1$		$1$	$19320$	$0.587148$	$2554497863/1924096$	$0.81864$	$2.90744$	$[0, -1, 0, 456, 1904]$	\(y^2=x^3-x^2+456x+1904\)	2.3.0.a.1, 8.6.0.c.1, 3758.6.0.?, 15032.12.0.?	$[]$
30064.g1	30064h1	30064.g	30064h	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{16} \cdot 1879 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$1$	$1$		$0$	$9600$	$0.318450$	$-702595369/30064$	$0.77603$	$2.78917$	$[0, -1, 0, -296, -1936]$	\(y^2=x^3-x^2-296x-1936\)	3758.2.0.?	$[]$
30064.h1	30064b1	30064.h	30064b	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{8} \cdot 1879 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$1.649451766$	$1$		$2$	$3072$	$-0.230221$	$21296/1879$	$0.68520$	$1.99124$	$[0, -1, 0, 4, 32]$	\(y^2=x^3-x^2+4x+32\)	3758.2.0.?	$[(1, 6)]$
30064.i1	30064g1	30064.i	30064g	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{26} \cdot 1879 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$1$	$4$	$2$	$0$	$32256$	$0.866961$	$-272223782641/30785536$	$0.84526$	$3.37755$	$[0, -1, 0, -2160, -41536]$	\(y^2=x^3-x^2-2160x-41536\)	3758.2.0.?	$[]$
30064.j1	30064j1	30064.j	30064j	$1$	$1$	\( 2^{4} \cdot 1879 \)	\( - 2^{16} \cdot 1879 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3758$	$2$	$0$	$2.405205757$	$1$		$2$	$11136$	$0.234180$	$4657463/30064$	$0.88173$	$2.52055$	$[0, -1, 0, 56, -528]$	\(y^2=x^3-x^2+56x-528\)	3758.2.0.?	$[(84, 768)]$

  Download displayed columns for results to