Elliptic curve search results

Results (16 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
34944.g1	34944bf1	34944.g	34944bf	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{7} \cdot 3^{9} \cdot 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.975214954$	$1$		$2$	$19584$	$0.617840$	$-12038741902688/1791153$	$0.93476$	$3.34287$	$[0, -1, 0, -2406, 46242]$	\(y^2=x^3-x^2-2406x+46242\)	2184.2.0.?	$[(29, 4)]$
34944.k1	34944bd1	34944.k	34944bd	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{13} \cdot 3^{9} \cdot 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$8.365359444$	$1$		$2$	$39168$	$0.964414$	$-12038741902688/1791153$	$0.93476$	$3.74041$	$[0, -1, 0, -9625, -360311]$	\(y^2=x^3-x^2-9625x-360311\)	2184.2.0.?	$[(8535, 788408)]$
34944.bd1	34944o1	34944.bd	34944o	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{7} \cdot 3^{9} \cdot 7 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$19584$	$0.617840$	$-12038741902688/1791153$	$0.93476$	$3.34287$	$[0, 1, 0, -2406, -46242]$	\(y^2=x^3+x^2-2406x-46242\)	2184.2.0.?	$[ ]$
34944.bh1	34944bn1	34944.bh	34944bn	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13 \)	\( - 2^{13} \cdot 3^{9} \cdot 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.195823220$	$1$		$6$	$39168$	$0.964414$	$-12038741902688/1791153$	$0.93476$	$3.74041$	$[0, 1, 0, -9625, 360311]$	\(y^2=x^3+x^2-9625x+360311\)	2184.2.0.?	$[(59, 36)]$
104832.bl1	104832t1	104832.bl	104832t	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{13} \cdot 3^{15} \cdot 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$2.437177506$	$1$		$2$	$313344$	$1.513720$	$-12038741902688/1791153$	$0.93476$	$3.95515$	$[0, 0, 0, -86628, 9815024]$	\(y^2=x^3-86628x+9815024\)	2184.2.0.?	$[(184, 324)]$
104832.bm1	104832bf1	104832.bm	104832bf	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{13} \cdot 3^{15} \cdot 7 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$313344$	$1.513720$	$-12038741902688/1791153$	$0.93476$	$3.95515$	$[0, 0, 0, -86628, -9815024]$	\(y^2=x^3-86628x-9815024\)	2184.2.0.?	$[ ]$
104832.bq1	104832bv1	104832.bq	104832bv	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{7} \cdot 3^{15} \cdot 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1.493513307$	$1$		$2$	$156672$	$1.167147$	$-12038741902688/1791153$	$0.93476$	$3.59539$	$[0, 0, 0, -21657, 1226878]$	\(y^2=x^3-21657x+1226878\)	2184.2.0.?	$[(-46, 1458)]$
104832.bx1	104832x1	104832.bx	104832x	$1$	$1$	\( 2^{7} \cdot 3^{2} \cdot 7 \cdot 13 \)	\( - 2^{7} \cdot 3^{15} \cdot 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$21.64275039$	$1$		$0$	$156672$	$1.167147$	$-12038741902688/1791153$	$0.93476$	$3.59539$	$[0, 0, 0, -21657, -1226878]$	\(y^2=x^3-21657x-1226878\)	2184.2.0.?	$[(6843021286/2831, 557033964242886/2831)]$
244608.bk1	244608bk1	244608.bk	244608bk	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$7.918021470$	$1$		$0$	$1880064$	$1.937368$	$-12038741902688/1791153$	$0.93476$	$4.09479$	$[0, -1, 0, -471641, -124529943]$	\(y^2=x^3-x^2-471641x-124529943\)	2184.2.0.?	$[(50809/3, 11362708/3)]$
244608.cc1	244608cc1	244608.cc	244608cc	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{9} \cdot 7^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$3.248027294$	$1$		$0$	$940032$	$1.590796$	$-12038741902688/1791153$	$0.93476$	$3.75960$	$[0, -1, 0, -117910, 15625198]$	\(y^2=x^3-x^2-117910x+15625198\)	2184.2.0.?	$[(741/2, 2597/2)]$
244608.eb1	244608eb1	244608.eb	244608eb	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{13} \cdot 3^{9} \cdot 7^{7} \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.485163083$	$1$		$14$	$1880064$	$1.937368$	$-12038741902688/1791153$	$0.93476$	$4.09479$	$[0, 1, 0, -471641, 124529943]$	\(y^2=x^3+x^2-471641x+124529943\)	2184.2.0.?	$[(541, 5292), (394, 147)]$
244608.et1	244608et1	244608.et	244608et	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{9} \cdot 7^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$4.542809486$	$1$		$2$	$940032$	$1.590796$	$-12038741902688/1791153$	$0.93476$	$3.75960$	$[0, 1, 0, -117910, -15625198]$	\(y^2=x^3+x^2-117910x-15625198\)	2184.2.0.?	$[(647, 13392)]$
454272.bm1	454272bm1	454272.bm	454272bm	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$6580224$	$2.246887$	$-12038741902688/1791153$	$0.93476$	$4.18533$	$[0, -1, 0, -1626681, -798109911]$	\(y^2=x^3-x^2-1626681x-798109911\)	2184.2.0.?	$[ ]$
454272.ci1	454272ci1	454272.ci	454272ci	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$8.691084757$	$1$		$0$	$3290112$	$1.900314$	$-12038741902688/1791153$	$0.93476$	$3.86607$	$[0, -1, 0, -406670, 99967074]$	\(y^2=x^3-x^2-406670x+99967074\)	2184.2.0.?	$[(83329/7, 22553726/7)]$
454272.er1	454272er1	454272.er	454272er	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{13} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$0.334377350$	$1$		$22$	$6580224$	$2.246887$	$-12038741902688/1791153$	$0.93476$	$4.18533$	$[0, 1, 0, -1626681, 798109911]$	\(y^2=x^3+x^2-1626681x+798109911\)	2184.2.0.?	$[(1707, 54756), (693, 2028)]$
454272.fr1	454272fr1	454272.fr	454272fr	$1$	$1$	\( 2^{7} \cdot 3 \cdot 7 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{9} \cdot 7 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2184$	$2$	$0$	$1$	$1$		$0$	$3290112$	$1.900314$	$-12038741902688/1791153$	$0.93476$	$3.86607$	$[0, 1, 0, -406670, -99967074]$	\(y^2=x^3+x^2-406670x-99967074\)	2184.2.0.?	$[ ]$

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