Elliptic curves over $\Q$ of conductor 950

Results (9 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
950.a1	950b2	950.a	950b	$2$	$3$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2 \cdot 5^{8} \cdot 19^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2280$	$16$	$0$	$1$	$1$		$0$	$1728$	$1.275858$	$-2376117230685121/342950$	$0.98759$	$6.57203$	$[1, 1, 0, -69500, -7081250]$	\(y^2+xy=x^3+x^2-69500x-7081250\)	3.4.0.a.1, 15.8.0-3.a.1.1, 152.2.0.?, 456.8.0.?, 2280.16.0.?	$[]$
950.a2	950b1	950.a	950b	$2$	$3$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2^{3} \cdot 5^{12} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2280$	$16$	$0$	$1$	$1$		$0$	$576$	$0.726551$	$-2992209121/2375000$	$0.90876$	$4.71664$	$[1, 1, 0, -750, -12500]$	\(y^2+xy=x^3+x^2-750x-12500\)	3.4.0.a.1, 15.8.0-3.a.1.2, 152.2.0.?, 456.8.0.?, 2280.16.0.?	$[]$
950.b1	950a2	950.b	950a	$2$	$5$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2 \cdot 5^{6} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.4	5B.1.3	$760$	$48$	$1$	$2.731722053$	$1$		$2$	$800$	$0.822503$	$-37966934881/4952198$	$0.97714$	$4.99089$	$[1, 0, 1, -1751, -31352]$	\(y^2+xy+y=x^3-1751x-31352\)	5.24.0-5.a.2.1, 152.2.0.?, 760.48.1.?	$[(52, 111)]$
950.b2	950a1	950.b	950a	$2$	$5$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2^{5} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.24.0.2	5B.1.4	$760$	$48$	$1$	$0.546344410$	$1$		$4$	$160$	$0.017785$	$-1/608$	$1.37833$	$3.43056$	$[1, 0, 1, -1, 148]$	\(y^2+xy+y=x^3-x+148\)	5.24.0-5.a.1.1, 152.2.0.?, 760.48.1.?	$[(2, 11)]$
950.c1	950c1	950.c	950c	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2^{11} \cdot 5^{8} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$2112$	$0.699942$	$-11993263569/972800$	$0.93850$	$4.81231$	$[1, -1, 0, -1192, 17216]$	\(y^2+xy=x^3-x^2-1192x+17216\)	152.2.0.?	$[]$
950.d1	950e3	950.d	950e	$3$	$9$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2^{27} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$20520$	$1296$	$43$	$0.188760387$	$1$		$8$	$2592$	$1.289888$	$-69173457625/2550136832$	$1.05462$	$5.65690$	$[1, 1, 1, -2138, -306969]$	\(y^2+xy+y=x^3+x^2-2138x-306969\)	3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 27.36.0.a.1, 45.24.0-9.a.1.2, $\ldots$	$[(105, 747)]$
950.d2	950e1	950.d	950e	$3$	$9$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2^{3} \cdot 5^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	27.36.0.1	3B	$20520$	$1296$	$43$	$0.188760387$	$1$		$6$	$288$	$0.191276$	$-413493625/152$	$0.93281$	$4.30213$	$[1, 1, 1, -388, 2781]$	\(y^2+xy+y=x^3+x^2-388x+2781\)	3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 27.36.0.a.1, 45.24.0-9.a.1.1, $\ldots$	$[(15, 17)]$
950.d3	950e2	950.d	950e	$3$	$9$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2^{9} \cdot 5^{6} \cdot 19^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.36.0.2	3Cs	$20520$	$1296$	$43$	$0.062920129$	$1$		$12$	$864$	$0.740582$	$94196375/3511808$	$1.01875$	$4.69154$	$[1, 1, 1, 237, 11281]$	\(y^2+xy+y=x^3+x^2+237x+11281\)	3.12.0.a.1, 9.36.0.b.1, 15.24.0-3.a.1.1, 45.72.0-9.b.1.1, 152.2.0.?, $\ldots$	$[(95, 902)]$
950.e1	950d1	950.e	950d	$1$	$1$	\( 2 \cdot 5^{2} \cdot 19 \)	\( - 2 \cdot 5^{8} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$192$	$0.059755$	$357911/950$	$0.81125$	$3.45978$	$[1, 0, 0, 37, 167]$	\(y^2+xy=x^3+37x+167\)	152.2.0.?	$[]$