Elliptic curve search results

Results (14 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
4902.f1	4902h3	4902.f	4902h	$4$	$6$	\( 2 \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{24} \cdot 3^{2} \cdot 19 \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$9804$	$96$	$1$	$1$	$1$		$1$	$20736$	$1.491251$	$2268876641163765625/228097945239552$	$1.06688$	$4.97397$	$1$	$[1, 0, 1, -27376, -1587010]$	\(y^2+xy+y=x^3-27376x-1587010\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.j.1.6, 1634.6.0.?, $\ldots$	$[ ]$	$1$
14706.q1	14706u3	14706.q	14706u	$4$	$6$	\( 2 \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{24} \cdot 3^{8} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$9804$	$96$	$1$	$2.640514681$	$1$		$13$	$165888$	$2.040558$	$2268876641163765625/228097945239552$	$1.06688$	$5.09144$	$1$	$[1, -1, 1, -246380, 42849263]$	\(y^2+xy+y=x^3-x^2-246380x+42849263\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.j.1.8, 1634.6.0.?, $\ldots$	$[(211, 367)]$	$1$
39216.i1	39216i3	39216.i	39216i	$4$	$6$	\( 2^{4} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{36} \cdot 3^{2} \cdot 19 \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$1$	$4$	$2$	$1$	$497664$	$2.184399$	$2268876641163765625/228097945239552$	$1.06688$	$4.78249$	$1$	$[0, -1, 0, -438008, 101568624]$	\(y^2=x^3-x^2-438008x+101568624\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.2, 1634.6.0.?, $\ldots$	$[ ]$	$1$
93138.y1	93138bc3	93138.y	93138bc	$4$	$6$	\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{2} \cdot 19^{7} \cdot 43^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$0.706631897$	$1$		$27$	$7464960$	$2.963470$	$2268876641163765625/228097945239552$	$1.06688$	$5.23801$	$1$	$[1, 1, 1, -9882563, 10865534753]$	\(y^2+xy+y=x^3+x^2-9882563x+10865534753\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 57.8.0-3.a.1.2, $\ldots$	$[(5147, 307886), (2259, 7534)]$	$1$
117648.bg1	117648x3	117648.bg	117648x	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{36} \cdot 3^{8} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$21.30402436$	$1$		$1$	$3981312$	$2.733704$	$2268876641163765625/228097945239552$	$1.06688$	$4.89705$	$1$	$[0, 0, 0, -3942075, -2738410774]$	\(y^2=x^3-3942075x-2738410774\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.j.1.4, 1634.6.0.?, $\ldots$	$[(8430619945/872, 760782443297877/872)]$	$1$
122550.by1	122550bs3	122550.by	122550bs	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 43 \)	\( 2^{24} \cdot 3^{2} \cdot 5^{6} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$49020$	$96$	$1$	$2.960012025$	$1$		$5$	$2985984$	$2.295971$	$2268876641163765625/228097945239552$	$1.06688$	$4.43165$	$1$	$[1, 1, 1, -684388, -198376219]$	\(y^2+xy+y=x^3+x^2-684388x-198376219\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 15.8.0-3.a.1.1, $\ldots$	$[(-555, 3577)]$	$1$
156864.q1	156864dd3	156864.q	156864dd	$4$	$6$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{42} \cdot 3^{2} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$9.135988595$	$1$		$3$	$3981312$	$2.530972$	$2268876641163765625/228097945239552$	$1.06688$	$4.57593$	$1$	$[0, -1, 0, -1752033, -810796959]$	\(y^2=x^3-x^2-1752033x-810796959\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.1, $\ldots$	$[(31407, 5560848)]$	$1$
156864.cy1	156864n3	156864.cy	156864n	$4$	$6$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{42} \cdot 3^{2} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$8.892304667$	$1$		$1$	$3981312$	$2.530972$	$2268876641163765625/228097945239552$	$1.06688$	$4.57593$	$1$	$[0, 1, 0, -1752033, 810796959]$	\(y^2=x^3+x^2-1752033x+810796959\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.5, $\ldots$	$[(-3875/3, 1040644/3)]$	$1$
210786.w1	210786o3	210786.w	210786o	$4$	$6$	\( 2 \cdot 3 \cdot 19 \cdot 43^{2} \)	\( 2^{24} \cdot 3^{2} \cdot 19 \cdot 43^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$5.860909101$	$1$		$3$	$38320128$	$3.371853$	$2268876641163765625/228097945239552$	$1.06688$	$5.28878$	$1$	$[1, 1, 1, -50617338, 125975914887]$	\(y^2+xy+y=x^3+x^2-50617338x+125975914887\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 114.24.0.?, $\ldots$	$[(2249, 152235)]$	$1$
240198.h1	240198h3	240198.h	240198h	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 43 \)	\( 2^{24} \cdot 3^{2} \cdot 7^{6} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$68628$	$96$	$1$	$3.917098822$	$1$		$3$	$5971968$	$2.464207$	$2268876641163765625/228097945239552$	$1.06688$	$4.35389$	$1$	$[1, 1, 0, -1341400, 543002944]$	\(y^2+xy=x^3+x^2-1341400x+543002944\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 21.8.0-3.a.1.2, $\ldots$	$[(133, 19090)]$	$1$
279414.o1	279414o3	279414.o	279414o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 43 \)	\( 2^{24} \cdot 3^{8} \cdot 19^{7} \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$1$	$1$		$1$	$59719680$	$3.512775$	$2268876641163765625/228097945239552$	$1.06688$	$5.30476$	$1$	$[1, -1, 0, -88943067, -293458381403]$	\(y^2+xy=x^3-x^2-88943067x-293458381403\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 57.8.0-3.a.1.1, $\ldots$	$[ ]$	$1$
367650.bv1	367650bv3	367650.bv	367650bv	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 43 \)	\( 2^{24} \cdot 3^{8} \cdot 5^{6} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$49020$	$96$	$1$	$10.74867907$	$1$		$1$	$23887872$	$2.845276$	$2268876641163765625/228097945239552$	$1.06688$	$4.56610$	$1$	$[1, -1, 0, -6159492, 5349998416]$	\(y^2+xy=x^3-x^2-6159492x+5349998416\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 15.8.0-3.a.1.2, $\ldots$	$[(227297/8, 85163491/8)]$	$1$
470592.cj1	470592cj3	470592.cj	470592cj	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{42} \cdot 3^{8} \cdot 19 \cdot 43^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$1$	$4$	$2$	$1$	$31850496$	$3.080276$	$2268876641163765625/228097945239552$	$1.06688$	$4.69571$	$1$	$[0, 0, 0, -15768300, 21907286192]$	\(y^2=x^3-15768300x+21907286192\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.3, $\ldots$	$[ ]$	$1$
470592.dq1	470592dq3	470592.dq	470592dq	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{42} \cdot 3^{8} \cdot 19 \cdot 43^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$12.99759378$	$1$		$1$	$31850496$	$3.080276$	$2268876641163765625/228097945239552$	$1.06688$	$4.69571$	$1$	$[0, 0, 0, -15768300, -21907286192]$	\(y^2=x^3-15768300x-21907286192\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 24.48.0-12.j.1.7, $\ldots$	$[(4530224/5, 9639941868/5)]$	$1$

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