Elliptic curve search results

Results (8 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
38870.k1	38870a1	38870.k	38870a	$1$	$1$	\( 2 \cdot 5 \cdot 13^{2} \cdot 23 \)	\( 2^{5} \cdot 5 \cdot 13^{2} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$3.659621982$	$1$		$2$	$33600$	$0.852284$	$2298944458161/1029814880$	$0.93811$	$3.17879$	$[1, -1, 0, -1520, -10464]$	\(y^2+xy=x^3-x^2-1520x-10464\)	920.2.0.?	$[(-13, 90)]$
38870.bh1	38870bg1	38870.bh	38870bg	$1$	$1$	\( 2 \cdot 5 \cdot 13^{2} \cdot 23 \)	\( 2^{5} \cdot 5 \cdot 13^{8} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$9.052474136$	$1$		$0$	$436800$	$2.134758$	$2298944458161/1029814880$	$0.93811$	$4.63505$	$[1, -1, 1, -256912, -23760109]$	\(y^2+xy+y=x^3-x^2-256912x-23760109\)	920.2.0.?	$[(-11161/5, 195853/5)]$
194350.bf1	194350ds1	194350.bf	194350ds	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \)	\( 2^{5} \cdot 5^{7} \cdot 13^{8} \cdot 23^{5} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$1.521140466$	$1$		$8$	$10483200$	$2.939476$	$2298944458161/1029814880$	$0.93811$	$4.81545$	$[1, -1, 0, -6422792, -2976436384]$	\(y^2+xy=x^3-x^2-6422792x-2976436384\)	920.2.0.?	$[(-1901, 49538), (-137699/12, 83522119/12)]$
194350.dm1	194350be1	194350.dm	194350be	$1$	$1$	\( 2 \cdot 5^{2} \cdot 13^{2} \cdot 23 \)	\( 2^{5} \cdot 5^{7} \cdot 13^{2} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$0.693727321$	$1$		$4$	$806400$	$1.657003$	$2298944458161/1029814880$	$0.93811$	$3.55166$	$[1, -1, 1, -38005, -1346003]$	\(y^2+xy+y=x^3-x^2-38005x-1346003\)	920.2.0.?	$[(-77, 1096)]$
310960.bl1	310960bl1	310960.bl	310960bl	$1$	$1$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( 2^{17} \cdot 5 \cdot 13^{2} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$0.730250443$	$1$		$4$	$806400$	$1.545431$	$2298944458161/1029814880$	$0.93811$	$3.31381$	$[0, 0, 0, -24323, 694018]$	\(y^2=x^3-24323x+694018\)	920.2.0.?	$[(-159, 736)]$
310960.bp1	310960bp1	310960.bp	310960bp	$1$	$1$	\( 2^{4} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( 2^{17} \cdot 5 \cdot 13^{8} \cdot 23^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$1$	$1$		$0$	$10483200$	$2.827908$	$2298944458161/1029814880$	$0.93811$	$4.53063$	$[0, 0, 0, -4110587, 1524757546]$	\(y^2=x^3-4110587x+1524757546\)	920.2.0.?	$[]$
349830.y1	349830y1	349830.y	349830y	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( 2^{5} \cdot 3^{6} \cdot 5 \cdot 13^{8} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$2.920607826$	$1$		$2$	$13977600$	$2.684063$	$2298944458161/1029814880$	$0.93811$	$4.35361$	$[1, -1, 0, -2312205, 643835141]$	\(y^2+xy=x^3-x^2-2312205x+643835141\)	920.2.0.?	$[(-1619, 12712)]$
349830.fb1	349830fb1	349830.fb	349830fb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 23 \)	\( 2^{5} \cdot 3^{6} \cdot 5 \cdot 13^{2} \cdot 23^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$920$	$2$	$0$	$0.561266527$	$1$		$4$	$1075200$	$1.401590$	$2298944458161/1029814880$	$0.93811$	$3.14801$	$[1, -1, 1, -13682, 296209]$	\(y^2+xy+y=x^3-x^2-13682x+296209\)	920.2.0.?	$[(19, 197)]$