Elliptic curve search results

Results (16 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
13794.u1	13794u1	13794.u	13794u	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{2} \cdot 11^{2} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$141120$	$1.721033$	$-58730058813042529/46734803730432$	$1.08020$	$4.64463$	$[1, 0, 1, -40054, 4751624]$	\(y^2+xy+y=x^3-40054x+4751624\)	152.2.0.?	$[]$
13794.bn1	13794bl1	13794.bn	13794bl	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{2} \cdot 11^{8} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$1552320$	$2.919979$	$-58730058813042529/46734803730432$	$1.08020$	$6.15401$	$[1, 0, 0, -4846476, -6329258352]$	\(y^2+xy=x^3-4846476x-6329258352\)	152.2.0.?	$[]$
41382.a1	41382ba1	41382.a	41382ba	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{8} \cdot 11^{8} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$7.296002273$	$1$		$2$	$12418560$	$3.469288$	$-58730058813042529/46734803730432$	$1.08020$	$6.13809$	$[1, -1, 0, -43618284, 170889975504]$	\(y^2+xy=x^3-x^2-43618284x+170889975504\)	152.2.0.?	$[(4797, 265968)]$
41382.bj1	41382cu1	41382.bj	41382cu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{8} \cdot 11^{2} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.180717165$	$1$		$10$	$1128960$	$2.270340$	$-58730058813042529/46734803730432$	$1.08020$	$4.78470$	$[1, -1, 1, -360482, -128293855]$	\(y^2+xy+y=x^3-x^2-360482x-128293855\)	152.2.0.?	$[(897, 15967)]$
110352.bh1	110352be1	110352.bh	110352be	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{2} \cdot 11^{2} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$26.39149032$	$1$		$0$	$3386880$	$2.414181$	$-58730058813042529/46734803730432$	$1.08020$	$4.52918$	$[0, -1, 0, -640856, -304103952]$	\(y^2=x^3-x^2-640856x-304103952\)	152.2.0.?	$[(992903868866/4475, 989234529264451914/4475)]$
110352.bi1	110352bp1	110352.bi	110352bp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{2} \cdot 11^{8} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$37255680$	$3.613129$	$-58730058813042529/46734803730432$	$1.08020$	$5.76825$	$[0, -1, 0, -77543616, 405072534528]$	\(y^2=x^3-x^2-77543616x+405072534528\)	152.2.0.?	$[]$
262086.ba1	262086ba1	262086.ba	262086ba	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{21} \cdot 3^{2} \cdot 11^{8} \cdot 19^{11} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$21.80908272$	$1$		$0$	$558835200$	$4.392197$	$-58730058813042529/46734803730432$	$1.08020$	$6.11766$	$[1, 1, 0, -1749577843, 43408883880685]$	\(y^2+xy=x^3+x^2-1749577843x+43408883880685\)	152.2.0.?	$[(-378509343371/6425, 2032943751122403908/6425)]$
262086.dk1	262086dk1	262086.dk	262086dk	$1$	$1$	\( 2 \cdot 3 \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{21} \cdot 3^{2} \cdot 11^{2} \cdot 19^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$50803200$	$3.193253$	$-58730058813042529/46734803730432$	$1.08020$	$4.96450$	$[1, 1, 1, -14459321, -32620309369]$	\(y^2+xy+y=x^3+x^2-14459321x-32620309369\)	152.2.0.?	$[]$
331056.b1	331056b1	331056.b	331056b	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{8} \cdot 11^{2} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$27095040$	$2.963486$	$-58730058813042529/46734803730432$	$1.08020$	$4.65632$	$[0, 0, 0, -5767707, 8216574410]$	\(y^2=x^3-5767707x+8216574410\)	152.2.0.?	$[]$
331056.e1	331056e1	331056.e	331056e	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{33} \cdot 3^{8} \cdot 11^{8} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.976567396$	$1$		$2$	$298045440$	$4.162437$	$-58730058813042529/46734803730432$	$1.08020$	$5.78829$	$[0, 0, 0, -697892547, -10936260539710]$	\(y^2=x^3-697892547x-10936260539710\)	152.2.0.?	$[(35695, 3103650)]$
344850.bi1	344850bi1	344850.bi	344850bi	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{2} \cdot 5^{6} \cdot 11^{8} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$4$	$2$	$0$	$124185600$	$3.724701$	$-58730058813042529/46734803730432$	$1.08020$	$5.35780$	$[1, 1, 0, -121161900, -791157294000]$	\(y^2+xy=x^3+x^2-121161900x-791157294000\)	152.2.0.?	$[]$
344850.es1	344850es1	344850.es	344850es	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{21} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 19^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.249394005$	$1$		$26$	$11289600$	$2.525753$	$-58730058813042529/46734803730432$	$1.08020$	$4.22945$	$[1, 1, 1, -1001338, 593953031]$	\(y^2+xy+y=x^3+x^2-1001338x+593953031\)	152.2.0.?	$[(329, 17163), (785, 16707)]$
441408.c1	441408c1	441408.c	441408c	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{2} \cdot 11^{8} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$12.61005680$	$1$		$0$	$298045440$	$3.959702$	$-58730058813042529/46734803730432$	$1.08020$	$5.47300$	$[0, -1, 0, -310174465, -3240270101759]$	\(y^2=x^3-x^2-310174465x-3240270101759\)	152.2.0.?	$[(4114456/11, 6724981239/11)]$
441408.d1	441408d1	441408.d	441408d	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{2} \cdot 11^{2} \cdot 19^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$9.526256109$	$1$		$8$	$27095040$	$2.760754$	$-58730058813042529/46734803730432$	$1.08020$	$4.36609$	$[0, -1, 0, -2563425, 2435395041]$	\(y^2=x^3-x^2-2563425x+2435395041\)	152.2.0.?	$[(1193, 32768), (95361/5, 27426816/5)]$
441408.dy1	441408dy1	441408.dy	441408dy	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{2} \cdot 11^{2} \cdot 19^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.768087497$	$1$		$2$	$27095040$	$2.760754$	$-58730058813042529/46734803730432$	$1.08020$	$4.36609$	$[0, 1, 0, -2563425, -2435395041]$	\(y^2=x^3+x^2-2563425x-2435395041\)	152.2.0.?	$[(31575, 5603328)]$
441408.eb1	441408eb1	441408.eb	441408eb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 19 \)	\( - 2^{39} \cdot 3^{2} \cdot 11^{8} \cdot 19^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$298045440$	$3.959702$	$-58730058813042529/46734803730432$	$1.08020$	$5.47300$	$[0, 1, 0, -310174465, 3240270101759]$	\(y^2=x^3+x^2-310174465x+3240270101759\)	152.2.0.?	$[]$