Elliptic curve search results

Results (20 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
16224.a1	16224g1	16224.a	16224g	$1$	$1$	\( 2^{5} \cdot 3 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.166321236$	$1$		$2$	$5760$	$0.077948$	$6656/27$	$1.10485$	$2.48026$	$[0, -1, 0, 35, 181]$	\(y^2=x^3-x^2+35x+181\)	6.2.0.a.1	$[(-1, 12)]$
16224.l1	16224q1	16224.l	16224q	$1$	$1$	\( 2^{5} \cdot 3 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$74880$	$1.360422$	$6656/27$	$1.10485$	$4.06777$	$[0, -1, 0, 5859, 421173]$	\(y^2=x^3-x^2+5859x+421173\)	6.2.0.a.1	$[]$
16224.m1	16224x1	16224.m	16224x	$1$	$1$	\( 2^{5} \cdot 3 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.546144909$	$1$		$4$	$5760$	$0.077948$	$6656/27$	$1.10485$	$2.48026$	$[0, 1, 0, 35, -181]$	\(y^2=x^3+x^2+35x-181\)	6.2.0.a.1	$[(5, 12)]$
16224.x1	16224l1	16224.x	16224l	$1$	$1$	\( 2^{5} \cdot 3 \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$74880$	$1.360422$	$6656/27$	$1.10485$	$4.06777$	$[0, 1, 0, 5859, -421173]$	\(y^2=x^3+x^2+5859x-421173\)	6.2.0.a.1	$[]$
32448.c1	32448m1	32448.c	32448m	$1$	$1$	\( 2^{6} \cdot 3 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$8.725130031$	$1$		$0$	$74880$	$1.013849$	$6656/27$	$1.10485$	$3.39595$	$[0, -1, 0, 1465, -53379]$	\(y^2=x^3-x^2+1465x-53379\)	6.2.0.a.1	$[(4860/7, 352773/7)]$
32448.bs1	32448l1	32448.bs	32448l	$1$	$1$	\( 2^{6} \cdot 3 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.841100832$	$1$		$0$	$5760$	$-0.268625$	$6656/27$	$1.10485$	$1.91438$	$[0, -1, 0, 9, -27]$	\(y^2=x^3-x^2+9x-27\)	6.2.0.a.1	$[(28/3, 125/3)]$
32448.bw1	32448bs1	32448.bw	32448bs	$1$	$1$	\( 2^{6} \cdot 3 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$74880$	$1.013849$	$6656/27$	$1.10485$	$3.39595$	$[0, 1, 0, 1465, 53379]$	\(y^2=x^3+x^2+1465x+53379\)	6.2.0.a.1	$[]$
32448.dp1	32448bq1	32448.dp	32448bq	$1$	$1$	\( 2^{6} \cdot 3 \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5760$	$-0.268625$	$6656/27$	$1.10485$	$1.91438$	$[0, 1, 0, 9, 27]$	\(y^2=x^3+x^2+9x+27\)	6.2.0.a.1	$[]$
48672.a1	48672x1	48672.a	48672x	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{9} \cdot 13^{8} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.662742436$	$1$		$10$	$599040$	$1.909729$	$6656/27$	$1.10485$	$4.26446$	$[0, 0, 0, 52728, -11424400]$	\(y^2=x^3+52728x-11424400\)	6.2.0.a.1	$[(676, 18252), (25012/7, 4179708/7)]$
48672.d1	48672bz1	48672.d	48672bz	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{9} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.435330474$	$1$		$2$	$599040$	$1.909729$	$6656/27$	$1.10485$	$4.26446$	$[0, 0, 0, 52728, 11424400]$	\(y^2=x^3+52728x+11424400\)	6.2.0.a.1	$[(0, 3380)]$
48672.bz1	48672w1	48672.bz	48672w	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{9} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.627254$	$6656/27$	$1.10485$	$2.83854$	$[0, 0, 0, 312, 5200]$	\(y^2=x^3+312x+5200\)	6.2.0.a.1	$[]$
48672.cc1	48672by1	48672.cc	48672by	$1$	$1$	\( 2^{5} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{9} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.728091137$	$1$		$2$	$46080$	$0.627254$	$6656/27$	$1.10485$	$2.83854$	$[0, 0, 0, 312, -5200]$	\(y^2=x^3+312x-5200\)	6.2.0.a.1	$[(25, 135)]$
97344.b1	97344cz1	97344.b	97344cz	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 13^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1.463293470$	$1$		$8$	$46080$	$0.280681$	$6656/27$	$1.10485$	$2.30516$	$[0, 0, 0, 78, 650]$	\(y^2=x^3+78x+650\)	6.2.0.a.1	$[(1, 27), (-23/2, 27/2)]$
97344.i1	97344cy1	97344.i	97344cy	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$46080$	$0.280681$	$6656/27$	$1.10485$	$2.30516$	$[0, 0, 0, 78, -650]$	\(y^2=x^3+78x-650\)	6.2.0.a.1	$[]$
97344.gj1	97344cv1	97344.gj	97344cv	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$599040$	$1.563156$	$6656/27$	$1.10485$	$3.64503$	$[0, 0, 0, 13182, -1428050]$	\(y^2=x^3+13182x-1428050\)	6.2.0.a.1	$[]$
97344.gq1	97344cu1	97344.gq	97344cu	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 13^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$4$	$2$	$0$	$599040$	$1.563156$	$6656/27$	$1.10485$	$3.64503$	$[0, 0, 0, 13182, 1428050]$	\(y^2=x^3+13182x+1428050\)	6.2.0.a.1	$[]$
405600.y1	405600y1	405600.y	405600y	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5990400$	$2.165142$	$6656/27$	$1.10485$	$3.80161$	$[0, -1, 0, 146467, -52939563]$	\(y^2=x^3-x^2+146467x-52939563\)	6.2.0.a.1	$[]$
405600.dd1	405600dd1	405600.dd	405600dd	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$3.534113803$	$1$		$2$	$460800$	$0.882668$	$6656/27$	$1.10485$	$2.60982$	$[0, -1, 0, 867, -24363]$	\(y^2=x^3-x^2+867x-24363\)	6.2.0.a.1	$[(467, 10100)]$
405600.ec1	405600ec1	405600.ec	405600ec	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$0.766668713$	$1$		$4$	$460800$	$0.882668$	$6656/27$	$1.10485$	$2.60982$	$[0, 1, 0, 867, 24363]$	\(y^2=x^3+x^2+867x+24363\)	6.2.0.a.1	$[(33, 300)]$
405600.gh1	405600gh1	405600.gh	405600gh	$1$	$1$	\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$6$	$2$	$0$	$1$	$1$		$0$	$5990400$	$2.165142$	$6656/27$	$1.10485$	$3.80161$	$[0, 1, 0, 146467, 52939563]$	\(y^2=x^3+x^2+146467x+52939563\)	6.2.0.a.1	$[]$