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
2006.a1	2006d1	2006.a	2006d	$1$	$1$	\( 2 \cdot 17 \cdot 59 \)	\( - 2^{2} \cdot 17^{2} \cdot 59 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$118$	$2$	$0$	$0.152944298$	$1$		$20$	$384$	$-0.147431$	$-76711450249/68204$	$0.84709$	$3.29632$	$[1, 1, 0, -88, 284]$	\(y^2+xy=x^3+x^2-88x+284\)	118.2.0.?	$[(7, 5), (4, 2)]$
16048.x1	16048y1	16048.x	16048y	$1$	$1$	\( 2^{4} \cdot 17 \cdot 59 \)	\( - 2^{14} \cdot 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$9216$	$0.545716$	$-76711450249/68204$	$0.84709$	$3.44743$	$[0, 1, 0, -1416, -21004]$	\(y^2=x^3+x^2-1416x-21004\)	118.2.0.?	$[]$
18054.t1	18054m1	18054.t	18054m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17 \cdot 59 \)	\( - 2^{2} \cdot 3^{6} \cdot 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$11520$	$0.401875$	$-76711450249/68204$	$0.84709$	$3.22989$	$[1, -1, 1, -797, -8463]$	\(y^2+xy+y=x^3-x^2-797x-8463\)	118.2.0.?	$[]$
34102.h1	34102b1	34102.h	34102b	$1$	$1$	\( 2 \cdot 17^{2} \cdot 59 \)	\( - 2^{2} \cdot 17^{8} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$0.918686105$	$1$		$4$	$110592$	$1.269175$	$-76711450249/68204$	$0.84709$	$4.03025$	$[1, 0, 1, -25583, 1574014]$	\(y^2+xy+y=x^3-25583x+1574014\)	118.2.0.?	$[(109, 234)]$
50150.bn1	50150w1	50150.bn	50150w	$1$	$1$	\( 2 \cdot 5^{2} \cdot 17 \cdot 59 \)	\( - 2^{2} \cdot 5^{6} \cdot 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$53760$	$0.657288$	$-76711450249/68204$	$0.84709$	$3.20819$	$[1, 0, 0, -2213, 39917]$	\(y^2+xy=x^3-2213x+39917\)	118.2.0.?	$[]$
64192.x1	64192ce1	64192.x	64192ce	$1$	$1$	\( 2^{6} \cdot 17 \cdot 59 \)	\( - 2^{20} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$6.284651658$	$1$		$2$	$73728$	$0.892289$	$-76711450249/68204$	$0.84709$	$3.39140$	$[0, -1, 0, -5665, -162367]$	\(y^2=x^3-x^2-5665x-162367\)	118.2.0.?	$[(2168, 100861)]$
64192.bx1	64192y1	64192.bx	64192y	$1$	$1$	\( 2^{6} \cdot 17 \cdot 59 \)	\( - 2^{20} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.422246154$	$1$		$2$	$73728$	$0.892289$	$-76711450249/68204$	$0.84709$	$3.39140$	$[0, 1, 0, -5665, 162367]$	\(y^2=x^3+x^2-5665x+162367\)	118.2.0.?	$[(42, 17)]$
98294.j1	98294c1	98294.j	98294c	$1$	$1$	\( 2 \cdot 7^{2} \cdot 17 \cdot 59 \)	\( - 2^{2} \cdot 7^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$5.226010420$	$1$		$2$	$89856$	$0.825523$	$-76711450249/68204$	$0.84709$	$3.19600$	$[1, 0, 1, -4338, -110400]$	\(y^2+xy+y=x^3-4338x-110400\)	118.2.0.?	$[(225, 3099)]$
118354.l1	118354t1	118354.l	118354t	$1$	$1$	\( 2 \cdot 17 \cdot 59^{2} \)	\( - 2^{2} \cdot 17^{2} \cdot 59^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$1336320$	$1.891336$	$-76711450249/68204$	$0.84709$	$4.24007$	$[1, 1, 1, -308141, -66016305]$	\(y^2+xy+y=x^3+x^2-308141x-66016305\)	118.2.0.?	$[]$
144432.bf1	144432s1	144432.bf	144432s	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 59 \)	\( - 2^{14} \cdot 3^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1.181883068$	$1$		$2$	$276480$	$1.095022$	$-76711450249/68204$	$0.84709$	$3.36468$	$[0, 0, 0, -12747, 554362]$	\(y^2=x^3-12747x+554362\)	118.2.0.?	$[(21, 544)]$
242726.h1	242726h1	242726.h	242726h	$1$	$1$	\( 2 \cdot 11^{2} \cdot 17 \cdot 59 \)	\( - 2^{2} \cdot 11^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$6.339792089$	$1$		$0$	$537600$	$1.051516$	$-76711450249/68204$	$0.84709$	$3.18171$	$[1, 1, 1, -10711, -431463]$	\(y^2+xy+y=x^3+x^2-10711x-431463\)	118.2.0.?	$[(7311/5, 561976/5)]$
272816.n1	272816n1	272816.n	272816n	$1$	$1$	\( 2^{4} \cdot 17^{2} \cdot 59 \)	\( - 2^{14} \cdot 17^{8} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$2.128969266$	$1$		$2$	$2654208$	$1.962322$	$-76711450249/68204$	$0.84709$	$4.02522$	$[0, -1, 0, -409320, -100736912]$	\(y^2=x^3-x^2-409320x-100736912\)	118.2.0.?	$[(2964, 157216)]$
306918.bo1	306918bo1	306918.bo	306918bo	$1$	$1$	\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 59 \)	\( - 2^{2} \cdot 3^{6} \cdot 17^{8} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$4$	$2$	$0$	$3317760$	$1.818481$	$-76711450249/68204$	$0.84709$	$3.85108$	$[1, -1, 1, -230243, -42498385]$	\(y^2+xy+y=x^3-x^2-230243x-42498385\)	118.2.0.?	$[]$
339014.t1	339014t1	339014.t	339014t	$1$	$1$	\( 2 \cdot 13^{2} \cdot 17 \cdot 59 \)	\( - 2^{2} \cdot 13^{6} \cdot 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$1$		$0$	$829440$	$1.135044$	$-76711450249/68204$	$0.84709$	$3.17694$	$[1, 1, 1, -14960, 698589]$	\(y^2+xy+y=x^3+x^2-14960x+698589\)	118.2.0.?	$[]$
401200.t1	401200t1	401200.t	401200t	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 17 \cdot 59 \)	\( - 2^{14} \cdot 5^{6} \cdot 17^{2} \cdot 59 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$4.179830474$	$1$		$2$	$1290240$	$1.350435$	$-76711450249/68204$	$0.84709$	$3.33580$	$[0, -1, 0, -35408, -2554688]$	\(y^2=x^3-x^2-35408x-2554688\)	118.2.0.?	$[(1416, 52768)]$
451350.cm1	451350cm1	451350.cm	451350cm	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 59 \)	\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 17^{2} \cdot 59 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$118$	$2$	$0$	$1$	$4$	$2$	$0$	$1612800$	$1.206594$	$-76711450249/68204$	$0.84709$	$3.17305$	$[1, -1, 0, -19917, -1077759]$	\(y^2+xy=x^3-x^2-19917x-1077759\)	118.2.0.?	$[]$