Elliptic curves over $\Q$ of conductor 155600

Results (18 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
155600.a1	155600b1	155600.a	155600b	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{12} \cdot 5^{6} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$778$	$2$	$0$	$4.261331550$	$1$		$2$	$172800$	$0.702225$	$1404928/389$	$0.69546$	$2.68756$	$[0, 1, 0, -933, -8237]$	\(y^2=x^3+x^2-933x-8237\)	778.2.0.?	$[(54, 319)]$
155600.b1	155600h1	155600.b	155600h	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{8} \cdot 5^{6} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$778$	$2$	$0$	$4.194477198$	$1$		$2$	$82944$	$0.483962$	$2249728/389$	$0.68074$	$2.49502$	$[0, 1, 0, -433, 2763]$	\(y^2=x^3+x^2-433x+2763\)	778.2.0.?	$[(62, 467)]$
155600.c1	155600a1	155600.c	155600a	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( - 2^{31} \cdot 5^{4} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3112$	$2$	$0$	$0.842478091$	$1$		$4$	$1067040$	$1.810635$	$-805833366015625/203948032$	$1.01924$	$4.10528$	$[0, 1, 0, -265208, 52491988]$	\(y^2=x^3+x^2-265208x+52491988\)	3112.2.0.?	$[(838, 20480)]$
155600.d1	155600i2	155600.d	155600i	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{8} \cdot 5^{12} \cdot 389 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7780$	$12$	$0$	$1$	$1$		$1$	$626688$	$1.469500$	$4094830824784/6078125$	$0.84048$	$3.70074$	$[0, 1, 0, -52908, -4695812]$	\(y^2=x^3+x^2-52908x-4695812\)	2.3.0.a.1, 20.6.0.c.1, 778.6.0.?, 7780.12.0.?	$[]$
155600.d2	155600i1	155600.d	155600i	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{4} \cdot 5^{9} \cdot 389^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7780$	$12$	$0$	$1$	$1$		$1$	$313344$	$1.122927$	$34763966464/18915125$	$0.85362$	$3.06992$	$[0, 1, 0, -4283, -27812]$	\(y^2=x^3+x^2-4283x-27812\)	2.3.0.a.1, 10.6.0.a.1, 1556.6.0.?, 7780.12.0.?	$[]$
155600.e1	155600j2	155600.e	155600j	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{10} \cdot 5^{3} \cdot 389^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7780$	$12$	$0$	$2.991918350$	$1$		$11$	$73728$	$0.671622$	$371838708/151321$	$0.84802$	$2.63435$	$[0, 0, 0, -755, -4350]$	\(y^2=x^3-755x-4350\)	2.3.0.a.1, 10.6.0.a.1, 1556.6.0.?, 7780.12.0.?	$[(-15, 60), (-19, 56)]$
155600.e2	155600j1	155600.e	155600j	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{8} \cdot 5^{3} \cdot 389 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7780$	$12$	$0$	$11.96767340$	$1$		$5$	$36864$	$0.325048$	$971175312/389$	$0.81248$	$2.59869$	$[0, 0, 0, -655, -6450]$	\(y^2=x^3-655x-6450\)	2.3.0.a.1, 20.6.0.c.1, 1556.6.0.?, 3890.6.0.?, 7780.12.0.?	$[(30, 30), (185/2, 1995/2)]$
155600.f1	155600c1	155600.f	155600c	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( - 2^{17} \cdot 5^{9} \cdot 389 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15560$	$2$	$0$	$1$	$1$		$0$	$297600$	$1.426573$	$-125751501/12448$	$0.83007$	$3.48058$	$[0, 0, 0, -20875, 1256250]$	\(y^2=x^3-20875x+1256250\)	15560.2.0.?	$[]$
155600.g1	155600k1	155600.g	155600k	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( - 2^{11} \cdot 5^{3} \cdot 389 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15560$	$2$	$0$	$1$	$1$		$0$	$429696$	$1.489887$	$-12685646340500058/389$	$1.04125$	$4.14320$	$[0, 0, 0, -308515, 65957250]$	\(y^2=x^3-308515x+65957250\)	15560.2.0.?	$[]$
155600.h1	155600d1	155600.h	155600d	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( - 2^{17} \cdot 5^{3} \cdot 389 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15560$	$2$	$0$	$1.151946962$	$1$		$8$	$59520$	$0.621854$	$-125751501/12448$	$0.83007$	$2.67283$	$[0, 0, 0, -835, 10050]$	\(y^2=x^3-835x+10050\)	15560.2.0.?	$[(1, 96), (65, 480)]$
155600.i1	155600n1	155600.i	155600n	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{8} \cdot 5^{6} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$778$	$2$	$0$	$10.82416422$	$1$		$0$	$107520$	$0.801003$	$4116151296/389$	$1.03965$	$3.12337$	$[0, 0, 0, -5300, -148500]$	\(y^2=x^3-5300x-148500\)	778.2.0.?	$[(49169/5, 10895197/5)]$
155600.j1	155600e1	155600.j	155600e	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{8} \cdot 5^{6} \cdot 389 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$778$	$2$	$0$	$4.055632398$	$1$		$0$	$53760$	$0.543543$	$14155776/389$	$0.85101$	$2.64888$	$[0, 0, 0, -800, -8500]$	\(y^2=x^3-800x-8500\)	778.2.0.?	$[(-71/2, 83/2)]$
155600.k1	155600l1	155600.k	155600l	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( - 2^{11} \cdot 5^{9} \cdot 389 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15560$	$2$	$0$	$3.670908364$	$1$		$6$	$2148480$	$2.294605$	$-12685646340500058/389$	$1.04125$	$4.95095$	$[0, 0, 0, -7712875, 8244656250]$	\(y^2=x^3-7712875x+8244656250\)	15560.2.0.?	$[(1625, 1500), (1689, 5988)]$
155600.l1	155600m2	155600.l	155600m	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{10} \cdot 5^{9} \cdot 389^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7780$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.476341$	$371838708/151321$	$0.84802$	$3.44209$	$[0, 0, 0, -18875, -543750]$	\(y^2=x^3-18875x-543750\)	2.3.0.a.1, 10.6.0.a.1, 1556.6.0.?, 7780.12.0.?	$[]$
155600.l2	155600m1	155600.l	155600m	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{8} \cdot 5^{9} \cdot 389 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$7780$	$12$	$0$	$1$	$4$	$2$	$1$	$184320$	$1.129768$	$971175312/389$	$0.81248$	$3.40644$	$[0, 0, 0, -16375, -806250]$	\(y^2=x^3-16375x-806250\)	2.3.0.a.1, 20.6.0.c.1, 1556.6.0.?, 3890.6.0.?, 7780.12.0.?	$[]$
155600.m1	155600f1	155600.m	155600f	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( - 2^{31} \cdot 5^{10} \cdot 389 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3112$	$2$	$0$	$1$	$9$	$3$	$0$	$5335200$	$2.615353$	$-805833366015625/203948032$	$1.01924$	$4.91303$	$[0, -1, 0, -6630208, 6574758912]$	\(y^2=x^3-x^2-6630208x+6574758912\)	3112.2.0.?	$[]$
155600.n1	155600g1	155600.n	155600g	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( 2^{4} \cdot 5^{10} \cdot 389 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$3112$	$48$	$0$	$1$	$9$	$3$	$1$	$179712$	$0.861300$	$12346507264/243125$	$0.81539$	$2.98333$	$[0, -1, 0, -3033, -62188]$	\(y^2=x^3-x^2-3033x-62188\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 778.6.0.?, 1556.24.0.?, $\ldots$	$[]$
155600.n2	155600g2	155600.n	155600g	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 389 \)	\( - 2^{8} \cdot 5^{8} \cdot 389^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$3112$	$48$	$0$	$1$	$9$	$3$	$1$	$359424$	$1.207872$	$21296/3783025$	$0.91472$	$3.16206$	$[0, -1, 0, 92, -187188]$	\(y^2=x^3-x^2+92x-187188\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 1556.12.0.?, 3112.48.0.?	$[]$