Elliptic curve search results

Results (12 matches)

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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
21675.g1	21675e1	21675.g	21675e	$1$	$1$	\( 3 \cdot 5^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$11.00977328$	$1$		$0$	$231336$	$2.143482$	$35242105/19683$	$1.04604$	$4.90076$	$[1, 1, 1, -252303, 9007266]$	\(y^2+xy+y=x^3+x^2-252303x+9007266\)	12.2.0.a.1	$[(-42104/9, 35065/9)]$
21675.i1	21675t1	21675.i	21675t	$1$	$1$	\( 3 \cdot 5^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 5^{2} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$0.149598959$	$1$		$6$	$13608$	$0.726875$	$35242105/19683$	$1.04604$	$3.19809$	$[1, 0, 0, -873, 1782]$	\(y^2+xy=x^3-873x+1782\)	12.2.0.a.1	$[(-27, 90)]$
21675.r1	21675m1	21675.r	21675m	$1$	$1$	\( 3 \cdot 5^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 5^{8} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$2.842496869$	$1$		$2$	$68040$	$1.531595$	$35242105/19683$	$1.04604$	$4.16531$	$[1, 1, 0, -21825, 222750]$	\(y^2+xy=x^3+x^2-21825x+222750\)	12.2.0.a.1	$[(10, 70)]$
21675.u1	21675w1	21675.u	21675w	$1$	$1$	\( 3 \cdot 5^{2} \cdot 17^{2} \)	\( 3^{9} \cdot 5^{8} \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$8.643711099$	$1$		$0$	$1156680$	$2.948200$	$35242105/19683$	$1.04604$	$5.86798$	$[1, 0, 1, -6307576, 1138523423]$	\(y^2+xy+y=x^3-6307576x+1138523423\)	12.2.0.a.1	$[(-1319/5, 4797706/5)]$
65025.k1	65025cl1	65025.k	65025cl	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{15} \cdot 5^{8} \cdot 17^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$544320$	$2.080902$	$35242105/19683$	$1.04604$	$4.34718$	$[1, -1, 1, -196430, -6210678]$	\(y^2+xy+y=x^3-x^2-196430x-6210678\)	12.2.0.a.1	$[ ]$
65025.r1	65025cf1	65025.r	65025cf	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{15} \cdot 5^{8} \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$5.134822966$	$1$		$0$	$9253440$	$3.497509$	$35242105/19683$	$1.04604$	$5.88107$	$[1, -1, 1, -56768180, -30740132428]$	\(y^2+xy+y=x^3-x^2-56768180x-30740132428\)	12.2.0.a.1	$[(37851/2, 4190345/2)]$
65025.bv1	65025bl1	65025.bv	65025bl	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{15} \cdot 5^{2} \cdot 17^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1$	$1$		$0$	$1850688$	$2.692787$	$35242105/19683$	$1.04604$	$5.00973$	$[1, -1, 0, -2270727, -245466914]$	\(y^2+xy=x^3-x^2-2270727x-245466914\)	12.2.0.a.1	$[ ]$
65025.cc1	65025bz1	65025.cc	65025bz	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 17^{2} \)	\( 3^{15} \cdot 5^{2} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$4.089760630$	$1$		$0$	$108864$	$1.276182$	$35242105/19683$	$1.04604$	$3.47585$	$[1, -1, 0, -7857, -48114]$	\(y^2+xy=x^3-x^2-7857x-48114\)	12.2.0.a.1	$[(1485/4, 5049/4)]$
346800.bj1	346800bj1	346800.bj	346800bj	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$40.66457380$	$1$		$0$	$74027520$	$3.641350$	$35242105/19683$	$1.04604$	$5.24463$	$[0, -1, 0, -100921208, -72865499088]$	\(y^2=x^3-x^2-100921208x-72865499088\)	12.2.0.a.1	$[(-343994827689331062/8963389, 381558717934862079439996854/8963389)]$
346800.bu1	346800bu1	346800.bu	346800bu	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$2.349421200$	$1$		$2$	$870912$	$1.420023$	$35242105/19683$	$1.04604$	$3.15504$	$[0, -1, 0, -13968, -114048]$	\(y^2=x^3-x^2-13968x-114048\)	12.2.0.a.1	$[(-62, 714)]$
346800.kc1	346800kc1	346800.kc	346800kc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 17^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$5.222106662$	$1$		$2$	$14805504$	$2.836628$	$35242105/19683$	$1.04604$	$4.48763$	$[0, 1, 0, -4036848, -584538732]$	\(y^2=x^3+x^2-4036848x-584538732\)	12.2.0.a.1	$[(-276, 22554)]$
346800.kk1	346800kk1	346800.kk	346800kk	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \)	\( 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 17^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12$	$2$	$0$	$1.127160470$	$1$		$4$	$4354560$	$2.224743$	$35242105/19683$	$1.04604$	$3.91203$	$[0, 1, 0, -349208, -14954412]$	\(y^2=x^3+x^2-349208x-14954412\)	12.2.0.a.1	$[(-92, 4050)]$

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