Elliptic curve search results

Results (6 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
69828.y1	69828u2	69828.y	69828u	$2$	$3$	\( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 11^{3} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$66$	$16$	$0$	$1$	$9$	$3$	$0$	$715392$	$2.043076$	$37280608000/3993$	$0.89159$	$4.67987$	$[0, 1, 0, -750298, -250376131]$	\(y^2=x^3+x^2-750298x-250376131\)	3.8.0-3.a.1.1, 66.16.0-66.b.1.2	$[]$
69828.z1	69828bb2	69828.z	69828bb	$2$	$3$	\( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 11^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1518$	$16$	$0$	$1.693613085$	$1$		$2$	$31104$	$0.475330$	$37280608000/3993$	$0.89159$	$2.99318$	$[0, 1, 0, -1418, 20085]$	\(y^2=x^3+x^2-1418x+20085\)	3.4.0.a.1, 66.8.0.b.1, 69.8.0-3.a.1.1, 1518.16.0.?	$[(21, 3)]$
209484.v1	209484o2	209484.v	209484o	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 11^{3} \cdot 23^{8} \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$66$	$16$	$0$	$4.595349014$	$1$		$4$	$5723136$	$2.592384$	$37280608000/3993$	$0.89159$	$4.79824$	$[0, 0, 0, -6752685, 6753402853]$	\(y^2=x^3-6752685x+6753402853\)	3.8.0-3.a.1.2, 66.16.0-66.b.1.4	$[(-283, 92961)]$
209484.ba1	209484u2	209484.ba	209484u	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{7} \cdot 11^{3} \cdot 23^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1518$	$16$	$0$	$1$	$1$		$0$	$248832$	$1.024637$	$37280608000/3993$	$0.89159$	$3.26279$	$[0, 0, 0, -12765, -555059]$	\(y^2=x^3-12765x-555059\)	3.4.0.a.1, 66.8.0.b.1, 69.8.0-3.a.1.2, 1518.16.0.?	$[]$
279312.u1	279312u2	279312.u	279312u	$2$	$3$	\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 11^{3} \cdot 23^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$3036$	$16$	$0$	$5.444612233$	$1$		$0$	$124416$	$0.475330$	$37280608000/3993$	$0.89159$	$2.66229$	$[0, -1, 0, -1418, -20085]$	\(y^2=x^3-x^2-1418x-20085\)	3.4.0.a.1, 66.8.0.b.1, 276.8.0.?, 3036.16.0.?	$[(-1055/7, 335/7)]$
279312.y1	279312y2	279312.y	279312y	$2$	$3$	\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \)	\( 2^{4} \cdot 3 \cdot 11^{3} \cdot 23^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$132$	$16$	$0$	$1$	$1$		$0$	$2861568$	$2.043076$	$37280608000/3993$	$0.89159$	$4.16251$	$[0, -1, 0, -750298, 250376131]$	\(y^2=x^3-x^2-750298x+250376131\)	3.4.0.a.1, 12.8.0-3.a.1.2, 66.8.0.b.1, 132.16.0.?	$[]$