Elliptic curves over Q\Q of conductor 4600

Results (17 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
4600.a1	4600k1	4600.a	4600k	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{4} \cdot 5^{6} \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$3456$	$0.417856$	$-1149984000/23$	$0.95837$	$3.94748$	$[0, 0, 0, -1375, -19625]$	$y^2=x^3-1375x-19625$	46.2.0.a.1	$[]$
4600.b1	4600g1	4600.b	4600g	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{8} \cdot 5^{3} \cdot 23$	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.198472367$	$1$		$22$	$704$	$-0.193990$	$1024/23$	$0.71982$	$2.48258$	$[0, 1, 0, 7, 43]$	$y^2=x^3+x^2+7x+43$	230.2.0.?	$[(3, 10), (-1, 6)]$
4600.c1	4600d1	4600.c	4600d	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$2^{10} \cdot 5^{2} \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$0.434067658$	$1$		$4$	$768$	$-0.063904$	$2977540/23$	$0.78331$	$2.97101$	$[0, 1, 0, -88, 288]$	$y^2=x^3+x^2-88x+288$	92.2.0.?	$[(4, 4)]$
4600.d1	4600f1	4600.d	4600f	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$2^{10} \cdot 5^{10} \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$7680$	$0.983315$	$1562500/23$	$0.99336$	$4.42121$	$[0, 1, 0, -5208, 141088]$	$y^2=x^3+x^2-5208x+141088$	92.2.0.?	$[]$
4600.e1	4600c1	4600.e	4600c	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{11} \cdot 5^{10} \cdot 23^{2}$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$6.381582816$	$1$		$0$	$9120$	$1.280642$	$-19450850/529$	$0.85398$	$4.80783$	$[0, -1, 0, -15208, -733588]$	$y^2=x^3-x^2-15208x-733588$	8.2.0.a.1	$[(2549/2, 125971/2)]$
4600.f1	4600b1	4600.f	4600b	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{4} \cdot 5^{8} \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.643084686$	$1$		$6$	$768$	$0.250295$	$340736/575$	$0.71221$	$3.06129$	$[0, -1, 0, 92, 437]$	$y^2=x^3-x^2+92x+437$	46.2.0.a.1	$[(2, 25)]$
4600.g1	4600i2	4600.g	4600i	$2$	$2$	$2^{3} \cdot 5^{2} \cdot 23$	$2^{11} \cdot 5^{6} \cdot 23^{2}$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$184$	$12$	$0$	$1$	$1$		$1$	$3456$	$0.675172$	$2315250/529$	$0.89506$	$3.78670$	$[0, 0, 0, -875, 7750]$	$y^2=x^3-875x+7750$	2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.?	$[]$
4600.g2	4600i1	4600.g	4600i	$2$	$2$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{10} \cdot 5^{6} \cdot 23$	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$184$	$12$	$0$	$1$	$1$		$1$	$1728$	$0.328598$	$13500/23$	$0.90383$	$3.17333$	$[0, 0, 0, 125, 750]$	$y^2=x^3+125x+750$	2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.?	$[]$
4600.h1	4600h1	4600.h	4600h	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{8} \cdot 5^{9} \cdot 23^{5}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$17280$	$1.665010$	$1366664500224/804542875$	$1.21975$	$5.11574$	$[0, 0, 0, 36700, -355500]$	$y^2=x^3+36700x-355500$	230.2.0.?	$[]$
4600.i1	4600a1	4600.i	4600a	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{4} \cdot 5^{6} \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.514028650$	$1$		$4$	$640$	$-0.023342$	$-256/23$	$0.98486$	$2.73018$	$[0, 1, 0, -8, 113]$	$y^2=x^3+x^2-8x+113$	46.2.0.a.1	$[(8, 25)]$
4600.j1	4600e1	4600.j	4600e	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{4} \cdot 5^{10} \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$1536$	$0.512430$	$-256/14375$	$0.99213$	$3.49275$	$[0, 1, 0, -8, -2887]$	$y^2=x^3+x^2-8x-2887$	46.2.0.a.1	$[]$
4600.k1	4600l1	4600.k	4600l	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{4} \cdot 5^{6} \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$0.476393110$	$1$		$4$	$1024$	$0.064600$	$-562432/23$	$0.75822$	$3.05171$	$[0, 1, 0, -108, 413]$	$y^2=x^3+x^2-108x+413$	46.2.0.a.1	$[(-2, 25)]$
4600.l1	4600n1	4600.l	4600n	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{11} \cdot 5^{4} \cdot 23^{2}$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$8$	$2$	$0$	$1$	$1$		$0$	$1824$	$0.475923$	$-19450850/529$	$0.85398$	$3.66284$	$[0, 1, 0, -608, -6112]$	$y^2=x^3+x^2-608x-6112$	8.2.0.a.1	$[]$
4600.m1	4600m1	4600.m	4600m	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$2^{10} \cdot 5^{4} \cdot 23$	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1.075839825$	$1$		$2$	$1536$	$0.178596$	$1562500/23$	$0.99336$	$3.27622$	$[0, -1, 0, -208, 1212]$	$y^2=x^3-x^2-208x+1212$	92.2.0.?	$[(6, 12)]$
4600.n1	4600o1	4600.n	4600o	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$2^{10} \cdot 5^{8} \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$92$	$2$	$0$	$1$	$1$		$0$	$3840$	$0.740815$	$2977540/23$	$0.78331$	$4.11600$	$[0, -1, 0, -2208, 40412]$	$y^2=x^3-x^2-2208x+40412$	92.2.0.?	$[]$
4600.o1	4600p1	4600.o	4600p	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{8} \cdot 5^{9} \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$3520$	$0.610729$	$1024/23$	$0.71982$	$3.62757$	$[0, -1, 0, 167, 5037]$	$y^2=x^3-x^2+167x+5037$	230.2.0.?	$[]$
4600.p1	4600j1	4600.p	4600j	$1$	$1$	$2^{3} \cdot 5^{2} \cdot 23$	$- 2^{4} \cdot 5^{12} \cdot 23$	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$46$	$2$	$0$	$1$	$1$		$0$	$6912$	$0.929987$	$-45198971136/359375$	$0.91572$	$4.38440$	$[0, 0, 0, -4675, 123875]$	$y^2=x^3-4675x+123875$	46.2.0.a.1	$[]$

  Download displayed columns for results to