Elliptic curve search results

Results (19 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
3160.b1	3160a2	3160.b	3160a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 79 \)	\( 2^{10} \cdot 5 \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$640$	$0.130304$	$55990084/31205$	$0.82963$	$3.07411$	$[0, 1, 0, -80, -80]$	\(y^2=x^3+x^2-80x-80\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
6320.h1	6320d2	6320.h	6320d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 79 \)	\( 2^{10} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1.521195739$	$1$		$3$	$1280$	$0.130304$	$55990084/31205$	$0.82963$	$2.83063$	$[0, -1, 0, -80, 80]$	\(y^2=x^3-x^2-80x+80\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-8, 12)]$
15800.d1	15800c2	15800.d	15800c	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 79 \)	\( 2^{10} \cdot 5^{7} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.935023$	$55990084/31205$	$0.82963$	$3.56119$	$[0, -1, 0, -2008, -5988]$	\(y^2=x^3-x^2-2008x-5988\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
25280.b1	25280w2	25280.b	25280w	$2$	$2$	\( 2^{6} \cdot 5 \cdot 79 \)	\( 2^{16} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$2.483162001$	$1$		$3$	$10240$	$0.476878$	$55990084/31205$	$0.82963$	$2.85379$	$[0, 1, 0, -321, 319]$	\(y^2=x^3+x^2-321x+319\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(17, 8)]$
25280.y1	25280d2	25280.y	25280d	$2$	$2$	\( 2^{6} \cdot 5 \cdot 79 \)	\( 2^{16} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$5.914266402$	$1$		$1$	$10240$	$0.476878$	$55990084/31205$	$0.82963$	$2.85379$	$[0, -1, 0, -321, -319]$	\(y^2=x^3-x^2-321x-319\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(667/3, 16588/3)]$
28440.k1	28440k2	28440.k	28440k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$2.570581371$	$1$		$3$	$15360$	$0.679610$	$55990084/31205$	$0.82963$	$3.05823$	$[0, 0, 0, -723, 1438]$	\(y^2=x^3-723x+1438\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(27, 40)]$
31600.e1	31600e2	31600.e	31600e	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 79 \)	\( 2^{10} \cdot 5^{7} \cdot 79^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$0.974673441$	$1$		$17$	$30720$	$0.935023$	$55990084/31205$	$0.82963$	$3.32295$	$[0, 1, 0, -2008, 5988]$	\(y^2=x^3+x^2-2008x+5988\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-2, 100), (82, 632)]$
56880.f1	56880n2	56880.f	56880n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1.271519648$	$1$		$5$	$30720$	$0.679610$	$55990084/31205$	$0.82963$	$2.86462$	$[0, 0, 0, -723, -1438]$	\(y^2=x^3-723x-1438\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-11, 72)]$
126400.f1	126400n2	126400.f	126400n	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( 2^{16} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$2.594837872$	$1$		$5$	$245760$	$1.281597$	$55990084/31205$	$0.82963$	$3.28484$	$[0, 1, 0, -8033, -55937]$	\(y^2=x^3+x^2-8033x-55937\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-86, 79)]$
126400.co1	126400cf2	126400.co	126400cf	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( 2^{16} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$10.90546206$	$1$		$1$	$245760$	$1.281597$	$55990084/31205$	$0.82963$	$3.28484$	$[0, -1, 0, -8033, 55937]$	\(y^2=x^3-x^2-8033x+55937\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(412183/63, 143846200/63)]$
142200.j1	142200bh2	142200.j	142200bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.484329$	$55990084/31205$	$0.82963$	$3.45727$	$[0, 0, 0, -18075, 179750]$	\(y^2=x^3-18075x+179750\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
154840.s1	154840u2	154840.s	154840u	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 79^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1$	$1$		$1$	$230400$	$1.103260$	$55990084/31205$	$0.82963$	$3.04997$	$[0, -1, 0, -3936, 19580]$	\(y^2=x^3-x^2-3936x+19580\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[ ]$
227520.dh1	227520g2	227520.dh	227520g	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$3.742991009$	$1$		$3$	$245760$	$1.026184$	$55990084/31205$	$0.82963$	$2.87983$	$[0, 0, 0, -2892, -11504]$	\(y^2=x^3-2892x-11504\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(60, 176)]$
227520.ex1	227520dm2	227520.ex	227520dm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 79 \)	\( 2^{16} \cdot 3^{6} \cdot 5 \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$6.730390150$	$1$		$1$	$245760$	$1.026184$	$55990084/31205$	$0.82963$	$2.87983$	$[0, 0, 0, -2892, 11504]$	\(y^2=x^3-2892x+11504\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(1480/3, 53884/3)]$
249640.g1	249640g2	249640.g	249640g	$2$	$2$	\( 2^{3} \cdot 5 \cdot 79^{2} \)	\( 2^{10} \cdot 5 \cdot 79^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$32.17658956$	$1$		$1$	$3993600$	$2.315029$	$55990084/31205$	$0.82963$	$4.10281$	$[0, -1, 0, -501360, 26426012]$	\(y^2=x^3-x^2-501360x+26426012\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-2702414690379271/2913040, 306452899306440333335667/2913040)]$
284400.ff1	284400ff2	284400.ff	284400ff	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( 2^{10} \cdot 3^{6} \cdot 5^{7} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$2.781806655$	$1$		$5$	$737280$	$1.484329$	$55990084/31205$	$0.82963$	$3.26644$	$[0, 0, 0, -18075, -179750]$	\(y^2=x^3-18075x-179750\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(-19, 396)]$
309680.e1	309680e2	309680.e	309680e	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 79 \)	\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1.409670906$	$1$		$7$	$460800$	$1.103260$	$55990084/31205$	$0.82963$	$2.88276$	$[0, 1, 0, -3936, -19580]$	\(y^2=x^3+x^2-3936x-19580\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(74, 316)]$
382360.d1	382360d2	382360.d	382360d	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 79 \)	\( 2^{10} \cdot 5 \cdot 11^{6} \cdot 79^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$1.673457989$	$1$		$5$	$819200$	$1.329252$	$55990084/31205$	$0.82963$	$3.04646$	$[0, 1, 0, -9720, 67648]$	\(y^2=x^3+x^2-9720x+67648\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(128, 968)]$
499280.g1	499280g2	499280.g	499280g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 79^{2} \)	\( 2^{10} \cdot 5 \cdot 79^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1580$	$12$	$0$	$6.680946003$	$1$		$1$	$7987200$	$2.315029$	$55990084/31205$	$0.82963$	$3.88607$	$[0, 1, 0, -501360, -26426012]$	\(y^2=x^3+x^2-501360x-26426012\)	2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.?	$[(123842/13, 1023524/13)]$

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