Elliptic curve search results

Results (20 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
8670.a1	8670a1	8670.a	8670a	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.642990037$	$1$		$4$	$2160$	$0.131925$	$-43713001/116640$	$0.92815$	$2.75533$	$[1, 1, 0, -48, 288]$	\(y^2+xy=x^3+x^2-48x+288\)	40.2.0.a.1	$[(3, 12)]$
8670.m1	8670m1	8670.m	8670m	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$36720$	$1.548532$	$-43713001/116640$	$0.92815$	$4.63005$	$[1, 0, 1, -14023, 1512746]$	\(y^2+xy+y=x^3-14023x+1512746\)	40.2.0.a.1	$[]$
26010.bg1	26010bo1	26010.bg	26010bo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{12} \cdot 5 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$293760$	$2.097839$	$-43713001/116640$	$0.92815$	$4.77809$	$[1, -1, 1, -126203, -40844149]$	\(y^2+xy+y=x^3-x^2-126203x-40844149\)	40.2.0.a.1	$[]$
26010.bv1	26010br1	26010.bv	26010br	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{12} \cdot 5 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$17280$	$0.681231$	$-43713001/116640$	$0.92815$	$3.10596$	$[1, -1, 1, -437, -8211]$	\(y^2+xy+y=x^3-x^2-437x-8211\)	40.2.0.a.1	$[]$
43350.cf1	43350ck1	43350.cf	43350ck	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{7} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.606256519$	$1$		$6$	$881280$	$2.353252$	$-43713001/116640$	$0.92815$	$4.83655$	$[1, 1, 1, -350563, 189093281]$	\(y^2+xy+y=x^3+x^2-350563x+189093281\)	40.2.0.a.1	$[(-169, 15690)]$
43350.dg1	43350ct1	43350.dg	43350ct	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.118829831$	$1$		$8$	$51840$	$0.936644$	$-43713001/116640$	$0.92815$	$3.24442$	$[1, 0, 0, -1213, 38417]$	\(y^2+xy=x^3-1213x+38417\)	40.2.0.a.1	$[(-28, 239)]$
69360.bk1	69360cz1	69360.bk	69360cz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 5 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$881280$	$2.241680$	$-43713001/116640$	$0.92815$	$4.51252$	$[0, -1, 0, -224360, -96815760]$	\(y^2=x^3-x^2-224360x-96815760\)	40.2.0.a.1	$[]$
69360.cm1	69360da1	69360.cm	69360da	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 5 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.834902344$	$1$		$4$	$51840$	$0.825072$	$-43713001/116640$	$0.92815$	$2.98752$	$[0, 1, 0, -776, -19980]$	\(y^2=x^3+x^2-776x-19980\)	40.2.0.a.1	$[(94, 864)]$
130050.bj1	130050fc1	130050.bj	130050fc	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{12} \cdot 5^{7} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$11.50432004$	$1$		$2$	$7050240$	$2.902557$	$-43713001/116640$	$0.92815$	$4.94510$	$[1, -1, 0, -3155067, -5108673659]$	\(y^2+xy=x^3-x^2-3155067x-5108673659\)	40.2.0.a.1	$[(740049, 636263113)]$
130050.ci1	130050fn1	130050.ci	130050fn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{12} \cdot 5^{7} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$414720$	$1.485950$	$-43713001/116640$	$0.92815$	$3.50151$	$[1, -1, 0, -10917, -1037259]$	\(y^2+xy=x^3-x^2-10917x-1037259\)	40.2.0.a.1	$[]$
208080.bp1	208080cd1	208080.bp	208080cd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{12} \cdot 5 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$7050240$	$2.790985$	$-43713001/116640$	$0.92815$	$4.64597$	$[0, 0, 0, -2019243, 2616044762]$	\(y^2=x^3-2019243x+2616044762\)	40.2.0.a.1	$[]$
208080.fu1	208080w1	208080.fu	208080w	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{12} \cdot 5 \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$414720$	$1.374378$	$-43713001/116640$	$0.92815$	$3.25778$	$[0, 0, 0, -6987, 532474]$	\(y^2=x^3-6987x+532474\)	40.2.0.a.1	$[]$
277440.bn1	277440bn1	277440.bn	277440bn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{23} \cdot 3^{6} \cdot 5 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$7050240$	$2.588253$	$-43713001/116640$	$0.92815$	$4.34522$	$[0, -1, 0, -897441, 775423521]$	\(y^2=x^3-x^2-897441x+775423521\)	40.2.0.a.1	$[]$
277440.dy1	277440dy1	277440.dy	277440dy	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{23} \cdot 3^{6} \cdot 5 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$6.337518417$	$1$		$0$	$414720$	$1.171646$	$-43713001/116640$	$0.92815$	$2.98890$	$[0, -1, 0, -3105, -156735]$	\(y^2=x^3-x^2-3105x-156735\)	40.2.0.a.1	$[(1944/5, 32103/5)]$
277440.fs1	277440fs1	277440.fs	277440fs	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{23} \cdot 3^{6} \cdot 5 \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$7050240$	$2.588253$	$-43713001/116640$	$0.92815$	$4.34522$	$[0, 1, 0, -897441, -775423521]$	\(y^2=x^3+x^2-897441x-775423521\)	40.2.0.a.1	$[]$
277440.ic1	277440ic1	277440.ic	277440ic	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \)	\( - 2^{23} \cdot 3^{6} \cdot 5 \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$0.560857051$	$1$		$6$	$414720$	$1.171646$	$-43713001/116640$	$0.92815$	$2.98890$	$[0, 1, 0, -3105, 156735]$	\(y^2=x^3+x^2-3105x+156735\)	40.2.0.a.1	$[(3, 384)]$
346800.ch1	346800ch1	346800.ch	346800ch	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 5^{7} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$4.110691682$	$1$		$12$	$1244160$	$1.629791$	$-43713001/116640$	$0.92815$	$3.36759$	$[0, -1, 0, -19408, -2458688]$	\(y^2=x^3-x^2-19408x-2458688\)	40.2.0.a.1	$[(202, 1350), (337, 5400)]$
346800.jp1	346800jp1	346800.jp	346800jp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( - 2^{17} \cdot 3^{6} \cdot 5^{7} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$21150720$	$3.046398$	$-43713001/116640$	$0.92815$	$4.70019$	$[0, 1, 0, -5609008, -12113188012]$	\(y^2=x^3+x^2-5609008x-12113188012\)	40.2.0.a.1	$[]$
424830.o1	424830o1	424830.o	424830o	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$7.291538210$	$1$		$0$	$13880160$	$2.521488$	$-43713001/116640$	$0.92815$	$4.14053$	$[1, 1, 0, -687103, -519559067]$	\(y^2+xy=x^3+x^2-687103x-519559067\)	40.2.0.a.1	$[(216283/14, 21021083/14)]$
424830.dy1	424830dy1	424830.dy	424830dy	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5 \cdot 7^{6} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$40$	$2$	$0$	$1$	$1$		$0$	$816480$	$1.104879$	$-43713001/116640$	$0.92815$	$2.82881$	$[1, 0, 1, -2378, -105892]$	\(y^2+xy+y=x^3-2378x-105892\)	40.2.0.a.1	$[]$