Elliptic curve search results

Results (15 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
6630.r1	6630u1	6630.r	6630u	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$26520$	$2$	$0$	$0.145569956$	$1$		$6$	$8064$	$0.559461$	$-310027558782241/414375000$	$0.91158$	$3.79232$	$[1, 1, 1, -1410, 19815]$	\(y^2+xy+y=x^3+x^2-1410x+19815\)	26520.2.0.?	$[(3, 123)]$
19890.a1	19890j1	19890.a	19890j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$4.693803338$	$1$		$2$	$64512$	$1.108767$	$-310027558782241/414375000$	$0.91158$	$4.03736$	$[1, -1, 0, -12690, -547700]$	\(y^2+xy=x^3-x^2-12690x-547700\)	26520.2.0.?	$[(263, 3644)]$
33150.bd1	33150p1	33150.bd	33150p	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3 \cdot 5^{13} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$193536$	$1.364180$	$-310027558782241/414375000$	$0.91158$	$4.13368$	$[1, 0, 1, -35251, 2547398]$	\(y^2+xy+y=x^3-35251x+2547398\)	26520.2.0.?	$[]$
53040.da1	53040dc1	53040.da	53040dc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{15} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$193536$	$1.252607$	$-310027558782241/414375000$	$0.91158$	$3.83202$	$[0, 1, 0, -22560, -1313292]$	\(y^2=x^3+x^2-22560x-1313292\)	26520.2.0.?	$[]$
86190.j1	86190h1	86190.j	86190h	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3 \cdot 5^{7} \cdot 13^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$1354752$	$1.841934$	$-310027558782241/414375000$	$0.91158$	$4.29060$	$[1, 1, 0, -238293, 44725413]$	\(y^2+xy=x^3+x^2-238293x+44725413\)	26520.2.0.?	$[]$
99450.do1	99450cu1	99450.do	99450cu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3^{7} \cdot 5^{13} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$1548288$	$1.913485$	$-310027558782241/414375000$	$0.91158$	$4.31186$	$[1, -1, 1, -317255, -68779753]$	\(y^2+xy+y=x^3-x^2-317255x-68779753\)	26520.2.0.?	$[]$
112710.cu1	112710cu1	112710.cu	112710cu	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$2322432$	$1.976067$	$-310027558782241/414375000$	$0.91158$	$4.33002$	$[1, 0, 0, -407496, 100204440]$	\(y^2+xy=x^3-407496x+100204440\)	26520.2.0.?	$[]$
159120.ci1	159120cf1	159120.ci	159120cf	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{15} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$1548288$	$1.801914$	$-310027558782241/414375000$	$0.91158$	$4.03087$	$[0, 0, 0, -203043, 35255842]$	\(y^2=x^3-203043x+35255842\)	26520.2.0.?	$[]$
212160.bv1	212160ee1	212160.bv	212160ee	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$29.27745771$	$1$		$0$	$1548288$	$1.599180$	$-310027558782241/414375000$	$0.91158$	$3.73798$	$[0, -1, 0, -90241, -10416095]$	\(y^2=x^3-x^2-90241x-10416095\)	26520.2.0.?	$[(4400957439696/67441, 8715258349986343207/67441)]$
212160.dz1	212160fd1	212160.dz	212160fd	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{21} \cdot 3 \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$3.607495139$	$1$		$2$	$1548288$	$1.599180$	$-310027558782241/414375000$	$0.91158$	$3.73798$	$[0, 1, 0, -90241, 10416095]$	\(y^2=x^3+x^2-90241x+10416095\)	26520.2.0.?	$[(169, 144)]$
258570.fw1	258570fw1	258570.fw	258570fw	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3^{7} \cdot 5^{7} \cdot 13^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$10838016$	$2.391243$	$-310027558782241/414375000$	$0.91158$	$4.44128$	$[1, -1, 1, -2144642, -1209730791]$	\(y^2+xy+y=x^3-x^2-2144642x-1209730791\)	26520.2.0.?	$[]$
265200.d1	265200d1	265200.d	265200d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{15} \cdot 3 \cdot 5^{13} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$4644864$	$2.057327$	$-310027558782241/414375000$	$0.91158$	$4.11142$	$[0, -1, 0, -564008, -163033488]$	\(y^2=x^3-x^2-564008x-163033488\)	26520.2.0.?	$[]$
324870.fq1	324870fq1	324870.fq	324870fq	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{3} \cdot 3 \cdot 5^{7} \cdot 7^{6} \cdot 13 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$9$	$3$	$0$	$2322432$	$1.532415$	$-310027558782241/414375000$	$0.91158$	$3.54935$	$[1, 0, 0, -69091, -7003879]$	\(y^2+xy=x^3-69091x-7003879\)	26520.2.0.?	$[]$
338130.cg1	338130cg1	338130.cg	338130cg	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{3} \cdot 3^{7} \cdot 5^{7} \cdot 13 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$1$	$1$		$0$	$18579456$	$2.525372$	$-310027558782241/414375000$	$0.91158$	$4.47413$	$[1, -1, 0, -3667464, -2705519880]$	\(y^2+xy=x^3-x^2-3667464x-2705519880\)	26520.2.0.?	$[]$
430950.gq1	430950gq1	430950.gq	430950gq	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{3} \cdot 3 \cdot 5^{13} \cdot 13^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26520$	$2$	$0$	$5.544700138$	$1$		$0$	$32514048$	$2.646652$	$-310027558782241/414375000$	$0.91158$	$4.50266$	$[1, 0, 0, -5957338, 5602591292]$	\(y^2+xy=x^3-5957338x+5602591292\)	26520.2.0.?	$[(-10877/2, 340427/2)]$