Elliptic curves over $\Q$ of conductor 101478

Results (14 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
101478.a1	101478a1	101478.a	101478a	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{14} \cdot 3 \cdot 13^{5} \cdot 1301 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$2.167733013$	$1$		$2$	$512960$	$1.245560$	$31864057865927/23742981390336$	$0.97904$	$3.31832$	$[1, 1, 0, 661, 234621]$	\(y^2+xy=x^3+x^2+661x+234621\)	101478.2.0.?	$[(-26, 461)]$
101478.b1	101478c1	101478.b	101478c	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{2} \cdot 3 \cdot 13^{5} \cdot 1301 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$1$	$1$		$0$	$71840$	$0.558771$	$-1463295083977/5796626316$	$0.83763$	$2.60866$	$[1, 1, 0, -236, -4020]$	\(y^2+xy=x^3+x^2-236x-4020\)	101478.2.0.?	$[]$
101478.c1	101478b1	101478.c	101478b	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{16} \cdot 3 \cdot 13 \cdot 1301 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$1$	$1$		$0$	$80896$	$0.605921$	$-113443164881929/3325231104$	$0.84141$	$2.81166$	$[1, 1, 0, -1008, -13056]$	\(y^2+xy=x^3+x^2-1008x-13056\)	101478.2.0.?	$[]$
101478.d1	101478d1	101478.d	101478d	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{14} \cdot 3^{9} \cdot 13^{5} \cdot 1301 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$1$	$1$		$0$	$2076480$	$1.977985$	$251793042528769847/155777700901994496$	$1.10515$	$4.08073$	$[1, 0, 1, 13155, -18979400]$	\(y^2+xy+y=x^3+13155x-18979400\)	101478.2.0.?	$[]$
101478.e1	101478e1	101478.e	101478e	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{4} \cdot 3^{3} \cdot 13 \cdot 1301 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$1.526243317$	$1$		$2$	$19392$	$-0.000161$	$1939096223/7306416$	$0.86198$	$2.00321$	$[1, 1, 1, 26, -109]$	\(y^2+xy+y=x^3+x^2+26x-109\)	101478.2.0.?	$[(3, 1)]$
101478.f1	101478f1	101478.f	101478f	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{8} \cdot 3 \cdot 13^{5} \cdot 1301 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$0.357930333$	$1$		$14$	$140800$	$0.962701$	$-4050778648454929/370984084224$	$0.86848$	$3.13028$	$[1, 1, 1, -3321, 77895]$	\(y^2+xy+y=x^3+x^2-3321x+77895\)	101478.2.0.?	$[(87, 632), (445/3, 4558/3)]$
101478.g1	101478j1	101478.g	101478j	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{2} \cdot 3^{7} \cdot 13^{11} \cdot 1301 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$1$	$1$		$0$	$5632704$	$2.574665$	$-6810787455780788177508433/20396842684273414476$	$0.96629$	$4.96077$	$[1, 0, 0, -3949037, -3028676931]$	\(y^2+xy=x^3-3949037x-3028676931\)	101478.2.0.?	$[]$
101478.h1	101478i1	101478.h	101478i	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{4} \cdot 3^{7} \cdot 13 \cdot 1301 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$0.340884600$	$1$		$18$	$107520$	$0.588647$	$-437885240681953/591819696$	$0.85090$	$2.92475$	$[1, 0, 0, -1582, 24116]$	\(y^2+xy=x^3-1582x+24116\)	101478.2.0.?	$[(26, 14), (-28, 230)]$
101478.i1	101478l1	101478.i	101478l	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{16} \cdot 3^{3} \cdot 13 \cdot 1301 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$0.596808812$	$1$		$18$	$122880$	$0.689785$	$478762350767/29927079936$	$0.87045$	$2.73842$	$[1, 0, 0, 163, -8271]$	\(y^2+xy=x^3+163x-8271\)	101478.2.0.?	$[(34, 175), (18, 15)]$
101478.j1	101478g1	101478.j	101478g	$1$	$1$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{4} \cdot 3^{3} \cdot 13^{7} \cdot 1301 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$101478$	$2$	$0$	$10.81769709$	$1$		$0$	$655872$	$1.743805$	$-2694328063813456345729/35266674506544$	$0.98198$	$4.28064$	$[1, 0, 0, -289896, -60102288]$	\(y^2+xy=x^3-289896x-60102288\)	101478.2.0.?	$[(136926/11, 42607218/11)]$
101478.k1	101478k2	101478.k	101478k	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{4} \cdot 3 \cdot 13 \cdot 1301^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$710346$	$96$	$2$	$1$	$196$	$2, 7$	$0$	$69895168$	$4.014175$	$-4102007684809181687432274264918049/3936639679171948631439024$	$1.01804$	$6.71404$	$[1, 0, 0, -3334962226, -74128716508108]$	\(y^2+xy=x^3-3334962226x-74128716508108\)	7.48.0-7.a.2.2, 101478.2.0.?, 710346.96.2.?	$[]$
101478.k2	101478k1	101478.k	101478k	$2$	$7$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{28} \cdot 3^{7} \cdot 13^{7} \cdot 1301 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$710346$	$96$	$2$	$1$	$4$	$2$	$6$	$9985024$	$3.041218$	$78975693098270145722349791/47925805879636550221824$	$1.11876$	$5.17291$	$[1, 0, 0, 8938334, 2268820292]$	\(y^2+xy=x^3+8938334x+2268820292\)	7.48.0-7.a.1.2, 101478.2.0.?, 710346.96.2.?	$[]$
101478.l1	101478h2	101478.l	101478h	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 1301^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$202956$	$12$	$0$	$1$	$1$		$0$	$81792$	$0.604305$	$120151572738625/3168549072$	$0.84162$	$2.81236$	$[1, 0, 0, -1028, -12480]$	\(y^2+xy=x^3-1028x-12480\)	2.3.0.a.1, 26.6.0.b.1, 15612.6.0.?, 202956.12.0.?	$[]$
101478.l2	101478h1	101478.l	101478h	$2$	$2$	\( 2 \cdot 3 \cdot 13 \cdot 1301 \)	\( - 2^{8} \cdot 3 \cdot 13^{2} \cdot 1301 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$202956$	$12$	$0$	$1$	$1$		$1$	$40896$	$0.257731$	$190109375/168859392$	$0.89575$	$2.29004$	$[1, 0, 0, 12, -624]$	\(y^2+xy=x^3+12x-624\)	2.3.0.a.1, 52.6.0.c.1, 7806.6.0.?, 202956.12.0.?	$[]$