Elliptic curve search results

Results (12 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
11310.a1	11310a1	11310.a	11310a	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$9048$	$2$	$0$	$1.233682251$	$1$		$4$	$4032$	$0.175061$	$-53540005609/50895000$	$0.84443$	$2.75091$	$[1, 1, 0, -78, -468]$	\(y^2+xy=x^3+x^2-78x-468\)	9048.2.0.?	$[(11, 7)]$
33930.bd1	33930be1	33930.bd	33930be	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$0.186408756$	$1$		$6$	$32256$	$0.724367$	$-53540005609/50895000$	$0.84443$	$3.09308$	$[1, -1, 1, -707, 11931]$	\(y^2+xy+y=x^3-x^2-707x+11931\)	9048.2.0.?	$[(-19, 144)]$
56550.ce1	56550by1	56550.ce	56550by	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{10} \cdot 13 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1$	$1$		$0$	$96768$	$0.979780$	$-53540005609/50895000$	$0.84443$	$3.22877$	$[1, 0, 0, -1963, -54583]$	\(y^2+xy=x^3-1963x-54583\)	9048.2.0.?	$[]$
90480.bm1	90480bp1	90480.bm	90480bp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$0.758475967$	$1$		$6$	$96768$	$0.868208$	$-53540005609/50895000$	$0.84443$	$2.97850$	$[0, 1, 0, -1256, 27444]$	\(y^2=x^3+x^2-1256x+27444\)	9048.2.0.?	$[(4, 150)]$
147030.bs1	147030v1	147030.bs	147030v	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1.158379519$	$1$		$2$	$677376$	$1.457537$	$-53540005609/50895000$	$0.84443$	$3.45132$	$[1, 1, 1, -13270, -962005]$	\(y^2+xy+y=x^3+x^2-13270x-962005\)	9048.2.0.?	$[(343, 5743)]$
169650.ch1	169650eh1	169650.ch	169650eh	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{10} \cdot 13 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1$	$1$		$0$	$774144$	$1.529087$	$-53540005609/50895000$	$0.84443$	$3.48161$	$[1, -1, 0, -17667, 1473741]$	\(y^2+xy=x^3-x^2-17667x+1473741\)	9048.2.0.?	$[]$
271440.dr1	271440dr1	271440.dr	271440dr	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{9} \cdot 5^{4} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$1.370212397$	$1$		$4$	$774144$	$1.417515$	$-53540005609/50895000$	$0.84443$	$3.24381$	$[0, 0, 0, -11307, -752294]$	\(y^2=x^3-11307x-752294\)	9048.2.0.?	$[(197, 2160)]$
327990.bj1	327990bj1	327990.bj	327990bj	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \)	\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$3.152195075$	$1$		$0$	$3386880$	$1.858709$	$-53540005609/50895000$	$0.84443$	$3.61233$	$[1, 0, 0, -66036, -10623384]$	\(y^2+xy=x^3-66036x-10623384\)	9048.2.0.?	$[(6399/2, 498201/2)]$
361920.cn1	361920cn1	361920.cn	361920cn	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$0.603803374$	$1$		$4$	$774144$	$1.214783$	$-53540005609/50895000$	$0.84443$	$2.98083$	$[0, -1, 0, -5025, 224577]$	\(y^2=x^3-x^2-5025x+224577\)	9048.2.0.?	$[(29, 320)]$
361920.ex1	361920ex1	361920.ex	361920ex	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \)	\( - 2^{21} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$0.877834143$	$1$		$4$	$774144$	$1.214783$	$-53540005609/50895000$	$0.84443$	$2.98083$	$[0, 1, 0, -5025, -224577]$	\(y^2=x^3+x^2-5025x-224577\)	9048.2.0.?	$[(291, 4800)]$
441090.l1	441090l1	441090.l	441090l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \)	\( - 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$0.657084439$	$1$		$4$	$5419008$	$2.006844$	$-53540005609/50895000$	$0.84443$	$3.66676$	$[1, -1, 0, -119430, 25854700]$	\(y^2+xy=x^3-x^2-119430x+25854700\)	9048.2.0.?	$[(1505, 56285)]$
452400.x1	452400x1	452400.x	452400x	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \)	\( - 2^{15} \cdot 3^{3} \cdot 5^{10} \cdot 13 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$9048$	$2$	$0$	$2.221660629$	$1$		$2$	$2322432$	$1.672928$	$-53540005609/50895000$	$0.84443$	$3.35193$	$[0, -1, 0, -31408, 3493312]$	\(y^2=x^3-x^2-31408x+3493312\)	9048.2.0.?	$[(-168, 2000)]$