Elliptic curve search results

Results (13 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
4028.b1	4028a1	4028.b	4028a	$1$	$1$	\( 2^{2} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$0.839329898$	$1$		$4$	$324$	$-0.510786$	$-87808/1007$	$0.77624$	$2.07098$	$[0, 1, 0, -2, -7]$	\(y^2=x^3+x^2-2x-7\)	2014.2.0.?	$[(2, 1)]$
16112.e1	16112b1	16112.e	16112b	$1$	$1$	\( 2^{4} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1$	$1$		$0$	$1296$	$-0.510786$	$-87808/1007$	$0.77624$	$1.77462$	$[0, -1, 0, -2, 7]$	\(y^2=x^3-x^2-2x+7\)	2014.2.0.?	$[]$
36252.d1	36252l1	36252.d	36252l	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 3^{6} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$2.167691277$	$1$		$2$	$9720$	$0.038520$	$-87808/1007$	$0.77624$	$2.26542$	$[0, 0, 0, -21, 169]$	\(y^2=x^3-21x+169\)	2014.2.0.?	$[(0, 13)]$
64448.d1	64448f1	64448.d	64448f	$1$	$1$	\( 2^{6} \cdot 19 \cdot 53 \)	\( - 2^{10} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1$	$1$		$0$	$10368$	$-0.164212$	$-87808/1007$	$0.77624$	$1.92802$	$[0, -1, 0, -9, -47]$	\(y^2=x^3-x^2-9x-47\)	2014.2.0.?	$[]$
64448.k1	64448o1	64448.k	64448o	$1$	$1$	\( 2^{6} \cdot 19 \cdot 53 \)	\( - 2^{10} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1$	$1$		$0$	$10368$	$-0.164212$	$-87808/1007$	$0.77624$	$1.92802$	$[0, 1, 0, -9, 47]$	\(y^2=x^3+x^2-9x+47\)	2014.2.0.?	$[]$
76532.d1	76532e1	76532.d	76532e	$1$	$1$	\( 2^{2} \cdot 19^{2} \cdot 53 \)	\( - 2^{4} \cdot 19^{7} \cdot 53 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$2.795521001$	$1$		$4$	$116640$	$0.961433$	$-87808/1007$	$0.77624$	$3.09973$	$[0, -1, 0, -842, 43213]$	\(y^2=x^3-x^2-842x+43213\)	2014.2.0.?	$[(51, 361), (737/8, 95665/8)]$
100700.d1	100700i1	100700.d	100700i	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 5^{6} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1$	$1$		$0$	$41472$	$0.293933$	$-87808/1007$	$0.77624$	$2.33057$	$[0, -1, 0, -58, -763]$	\(y^2=x^3-x^2-58x-763\)	2014.2.0.?	$[]$
145008.x1	145008l1	145008.x	145008l	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 3^{6} \cdot 19 \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1$	$1$		$0$	$38880$	$0.038520$	$-87808/1007$	$0.77624$	$2.00117$	$[0, 0, 0, -21, -169]$	\(y^2=x^3-21x-169\)	2014.2.0.?	$[]$
197372.g1	197372g1	197372.g	197372g	$1$	$1$	\( 2^{2} \cdot 7^{2} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 7^{6} \cdot 19 \cdot 53 \)	$3$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$0.916325518$	$1$		$30$	$93312$	$0.462170$	$-87808/1007$	$0.77624$	$2.36751$	$[0, -1, 0, -114, 2185]$	\(y^2=x^3-x^2-114x+2185\)	2014.2.0.?	$[(-2, 49), (12, 49), (96, 931)]$
213484.c1	213484c1	213484.c	213484c	$1$	$1$	\( 2^{2} \cdot 19 \cdot 53^{2} \)	\( - 2^{4} \cdot 19 \cdot 53^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1$	$1$		$0$	$909792$	$1.474360$	$-87808/1007$	$0.77624$	$3.34219$	$[0, -1, 0, -6554, -929675]$	\(y^2=x^3-x^2-6554x-929675\)	2014.2.0.?	$[]$
306128.x1	306128x1	306128.x	306128x	$1$	$1$	\( 2^{4} \cdot 19^{2} \cdot 53 \)	\( - 2^{4} \cdot 19^{7} \cdot 53 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1$	$9$	$3$	$0$	$466560$	$0.961433$	$-87808/1007$	$0.77624$	$2.75954$	$[0, 1, 0, -842, -43213]$	\(y^2=x^3+x^2-842x-43213\)	2014.2.0.?	$[]$
402800.z1	402800z1	402800.z	402800z	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 5^{6} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$1.045463149$	$1$		$2$	$165888$	$0.293933$	$-87808/1007$	$0.77624$	$2.08023$	$[0, 1, 0, -58, 763]$	\(y^2=x^3+x^2-58x+763\)	2014.2.0.?	$[(3, 25)]$
487388.h1	487388h1	487388.h	487388h	$1$	$1$	\( 2^{2} \cdot 11^{2} \cdot 19 \cdot 53 \)	\( - 2^{4} \cdot 11^{6} \cdot 19 \cdot 53 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2014$	$2$	$0$	$12.05278911$	$1$		$0$	$437400$	$0.688162$	$-87808/1007$	$0.77624$	$2.41117$	$[0, 1, 0, -282, 8237]$	\(y^2=x^3+x^2-282x+8237\)	2014.2.0.?	$[(166429/21, 67923827/21)]$