Elliptic curves over $\Q$ of conductor 954

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
954.a1	954f2	954.a	954f	$2$	$3$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2 \cdot 3^{6} \cdot 53^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$1272$	$16$	$0$	$1.636629046$	$1$		$6$	$432$	$0.285399$	$-81182737/297754$	$0.92112$	$3.90588$	$[1, -1, 0, -81, 783]$	\(y^2+xy=x^3-x^2-81x+783\)	3.8.0-3.a.1.2, 424.2.0.?, 1272.16.0.?	$[(-3, 33)]$
954.a2	954f1	954.a	954f	$2$	$3$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{3} \cdot 3^{6} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1272$	$16$	$0$	$0.545543015$	$1$		$4$	$144$	$-0.263907$	$103823/424$	$0.82910$	$2.90691$	$[1, -1, 0, 9, -27]$	\(y^2+xy=x^3-x^2+9x-27\)	3.8.0-3.a.1.1, 424.2.0.?, 1272.16.0.?	$[(3, 3)]$
954.b1	954b2	954.b	954b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 53 \)	\( 2 \cdot 3^{9} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1272$	$12$	$0$	$1$	$1$		$0$	$336$	$0.297161$	$96702579/5618$	$0.93805$	$4.12127$	$[1, -1, 0, -258, -1450]$	\(y^2+xy=x^3-x^2-258x-1450\)	2.3.0.a.1, 24.6.0.a.1, 424.6.0.?, 636.6.0.?, 1272.12.0.?	$[]$
954.b2	954b1	954.b	954b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{2} \cdot 3^{9} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1272$	$12$	$0$	$1$	$1$		$1$	$168$	$-0.049413$	$9261/212$	$0.83805$	$3.30481$	$[1, -1, 0, 12, -100]$	\(y^2+xy=x^3-x^2+12x-100\)	2.3.0.a.1, 24.6.0.d.1, 318.6.0.?, 424.6.0.?, 1272.12.0.?	$[]$
954.c1	954e2	954.c	954e	$2$	$3$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{8} \cdot 3^{6} \cdot 53^{3} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$636$	$16$	$0$	$3.070176751$	$1$		$4$	$4320$	$1.526703$	$-1646982616152408625/38112512$	$1.03018$	$7.07470$	$[1, -1, 0, -221427, 40159989]$	\(y^2+xy=x^3-x^2-221427x+40159989\)	3.8.0-3.a.1.2, 212.2.0.?, 636.16.0.?	$[(310, 957)]$
954.c2	954e1	954.c	954e	$2$	$3$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{24} \cdot 3^{6} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$636$	$16$	$0$	$1.023392250$	$1$		$4$	$1440$	$0.977397$	$-2507141976625/889192448$	$0.97433$	$5.19190$	$[1, -1, 0, -2547, 63477]$	\(y^2+xy=x^3-x^2-2547x+63477\)	3.8.0-3.a.1.1, 212.2.0.?, 636.16.0.?	$[(166, 1965)]$
954.d1	954d1	954.d	954d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2 \cdot 3^{11} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1272$	$2$	$0$	$0.282989178$	$1$		$4$	$160$	$0.075718$	$857375/25758$	$0.92148$	$3.52494$	$[1, -1, 0, 18, 202]$	\(y^2+xy=x^3-x^2+18x+202\)	1272.2.0.?	$[(11, 35)]$
954.e1	954a1	954.e	954a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{7} \cdot 3^{9} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1272$	$2$	$0$	$1.313231487$	$1$		$4$	$336$	$0.251761$	$-5000211/6784$	$0.86743$	$3.86549$	$[1, -1, 0, -96, -640]$	\(y^2+xy=x^3-x^2-96x-640\)	1272.2.0.?	$[(13, 7)]$
954.f1	954c1	954.f	954c	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{11} \cdot 3^{8} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$424$	$2$	$0$	$1$	$1$		$0$	$704$	$0.382986$	$-192100033/976896$	$0.93672$	$4.07341$	$[1, -1, 0, -108, -1328]$	\(y^2+xy=x^3-x^2-108x-1328\)	424.2.0.?	$[]$
954.g1	954j1	954.g	954j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{17} \cdot 3^{9} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1272$	$2$	$0$	$0.071172990$	$1$		$14$	$1632$	$0.826066$	$313185171671/187564032$	$1.08035$	$4.81903$	$[1, -1, 1, 1273, -3585]$	\(y^2+xy+y=x^3-x^2+1273x-3585\)	1272.2.0.?	$[(11, 102)]$
954.h1	954h1	954.h	954h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{7} \cdot 3^{3} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1272$	$2$	$0$	$0.073922636$	$1$		$10$	$112$	$-0.297545$	$-5000211/6784$	$0.86743$	$2.90469$	$[1, -1, 1, -11, 27]$	\(y^2+xy+y=x^3-x^2-11x+27\)	1272.2.0.?	$[(-1, 6)]$
954.i1	954i1	954.i	954i	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{5} \cdot 3^{6} \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$424$	$2$	$0$	$0.113433202$	$1$		$8$	$240$	$0.103047$	$-2305199161/1696$	$0.90862$	$4.10330$	$[1, -1, 1, -248, 1563]$	\(y^2+xy+y=x^3-x^2-248x+1563\)	424.2.0.?	$[(11, 3)]$
954.j1	954k1	954.j	954k	$2$	$3$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{3} \cdot 3^{9} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1272$	$16$	$0$	$1$	$1$		$0$	$480$	$0.284209$	$-24515367625/11448$	$0.93095$	$4.44783$	$[1, -1, 1, -545, -4759]$	\(y^2+xy+y=x^3-x^2-545x-4759\)	3.8.0-3.a.1.1, 1272.16.0.?	$[]$
954.j2	954k2	954.j	954k	$2$	$3$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{9} \cdot 3^{7} \cdot 53^{3} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$1272$	$16$	$0$	$1$	$1$		$2$	$1440$	$0.833515$	$9731810375/228675072$	$0.99759$	$4.84928$	$[1, -1, 1, 400, -19501]$	\(y^2+xy+y=x^3-x^2+400x-19501\)	3.8.0-3.a.1.2, 1272.16.0.?	$[]$
954.k1	954l1	954.k	954l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2 \cdot 3^{12} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$424$	$2$	$0$	$1$	$1$		$0$	$192$	$0.170983$	$30080231/77274$	$0.90259$	$3.65071$	$[1, -1, 1, 58, 303]$	\(y^2+xy+y=x^3-x^2+58x+303\)	424.2.0.?	$[]$
954.l1	954g2	954.l	954g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 53 \)	\( 2 \cdot 3^{3} \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1272$	$12$	$0$	$1$	$1$		$0$	$112$	$-0.252145$	$96702579/5618$	$0.93805$	$3.16048$	$[1, -1, 1, -29, 63]$	\(y^2+xy+y=x^3-x^2-29x+63\)	2.3.0.a.1, 24.6.0.a.1, 424.6.0.?, 636.6.0.?, 1272.12.0.?	$[]$
954.l2	954g1	954.l	954g	$2$	$2$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{2} \cdot 3^{3} \cdot 53 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1272$	$12$	$0$	$1$	$1$		$1$	$56$	$-0.598719$	$9261/212$	$0.83805$	$2.34402$	$[1, -1, 1, 1, 3]$	\(y^2+xy+y=x^3-x^2+x+3\)	2.3.0.a.1, 24.6.0.d.1, 318.6.0.?, 424.6.0.?, 1272.12.0.?	$[]$
954.m1	954m1	954.m	954m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 53 \)	\( - 2^{4} \cdot 3^{6} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$212$	$2$	$0$	$1$	$1$		$0$	$240$	$-0.092420$	$-47045881/848$	$1.00810$	$3.54033$	$[1, -1, 1, -68, -201]$	\(y^2+xy+y=x^3-x^2-68x-201\)	212.2.0.?	$[]$