Elliptic curve search results

Results (15 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
6630.a4	6630c4	6630.a	6630c	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 5 \cdot 13^{4} \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.8	2B	$8840$	$48$	$0$	$3.991711476$	$1$		$8$	$8192$	$0.701576$	$26546265663191/31856082570$	$0.91461$	$3.52082$	$[1, 1, 0, 622, 6438]$	\(y^2+xy=x^3+x^2+622x+6438\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 104.24.0.?, 340.12.0.?, $\ldots$	$[(11, 116), (173, 2222)]$
19890.bc4	19890bd4	19890.bc	19890bd	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{14} \cdot 5 \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$0$	$65536$	$1.250881$	$26546265663191/31856082570$	$0.91461$	$3.79599$	$[1, -1, 1, 5593, -168231]$	\(y^2+xy+y=x^3-x^2+5593x-168231\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 104.12.0.?, 312.24.0.?, $\ldots$	$[]$
33150.ck4	33150cb3	33150.ck	33150cb	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 5^{7} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$1$		$0$	$196608$	$1.506294$	$26546265663191/31856082570$	$0.91461$	$3.90416$	$[1, 0, 0, 15537, 773667]$	\(y^2+xy=x^3+15537x+773667\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$	$[]$
53040.cd4	53040cl3	53040.cd	53040cl	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{8} \cdot 5 \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$196608$	$1.394724$	$26546265663191/31856082570$	$0.91461$	$3.61241$	$[0, 1, 0, 9944, -392140]$	\(y^2=x^3+x^2+9944x-392140\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 104.24.0.?, 340.12.0.?, $\ldots$	$[]$
86190.ch4	86190ce3	86190.ch	86190ce	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 5 \cdot 13^{10} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$8840$	$48$	$0$	$1$	$16$	$2$	$0$	$1376256$	$1.984051$	$26546265663191/31856082570$	$0.91461$	$4.08038$	$[1, 1, 1, 105030, 13618977]$	\(y^2+xy+y=x^3+x^2+105030x+13618977\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 104.24.0.?, 680.24.0.?, $\ldots$	$[]$
99450.bw4	99450bk3	99450.bw	99450bk	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{14} \cdot 5^{7} \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$1572864$	$2.055599$	$26546265663191/31856082570$	$0.91461$	$4.10425$	$[1, -1, 0, 139833, -20889009]$	\(y^2+xy=x^3-x^2+139833x-20889009\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$	$[]$
112710.bq4	112710bl3	112710.bq	112710bl	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{8} \cdot 5 \cdot 13^{4} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$5.839315907$	$1$		$0$	$2359296$	$2.118183$	$26546265663191/31856082570$	$0.91461$	$4.12465$	$[1, 0, 1, 179607, 30372286]$	\(y^2+xy+y=x^3+179607x+30372286\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[(2188/3, 250591/3)]$
159120.eh4	159120x3	159120.eh	159120x	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{14} \cdot 5 \cdot 13^{4} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$1$	$1572864$	$1.944029$	$26546265663191/31856082570$	$0.91461$	$3.83141$	$[0, 0, 0, 89493, 10677274]$	\(y^2=x^3+89493x+10677274\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$	$[]$
212160.dm4	212160cw4	212160.dm	212160cw	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{19} \cdot 3^{8} \cdot 5 \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$8840$	$48$	$0$	$8.685886375$	$1$		$1$	$1572864$	$1.741297$	$26546265663191/31856082570$	$0.91461$	$3.54319$	$[0, -1, 0, 39775, -3176895]$	\(y^2=x^3-x^2+39775x-3176895\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 680.24.0.?, 8840.48.0.?	$[(23717/14, 5054643/14)]$
212160.gh4	212160eh3	212160.gh	212160eh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{19} \cdot 3^{8} \cdot 5 \cdot 13^{4} \cdot 17 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$8840$	$48$	$0$	$4.469155662$	$1$		$5$	$1572864$	$1.741297$	$26546265663191/31856082570$	$0.91461$	$3.54319$	$[0, 1, 0, 39775, 3176895]$	\(y^2=x^3+x^2+39775x+3176895\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 680.24.0.?, 8840.48.0.?	$[(658, 17739)]$
258570.bm4	258570bm4	258570.bm	258570bm	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{14} \cdot 5 \cdot 13^{10} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$0$	$11010048$	$2.533356$	$26546265663191/31856082570$	$0.91461$	$4.24959$	$[1, -1, 0, 945270, -366767114]$	\(y^2+xy=x^3-x^2+945270x-366767114\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 312.24.0.?, $\ldots$	$[]$
265200.j4	265200j4	265200.j	265200j	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{13} \cdot 3^{8} \cdot 5^{7} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$5.499954492$	$1$		$3$	$4718592$	$2.199444$	$26546265663191/31856082570$	$0.91461$	$3.92012$	$[0, -1, 0, 248592, -49514688]$	\(y^2=x^3-x^2+248592x-49514688\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 68.12.0-4.c.1.2, 104.12.0.?, $\ldots$	$[(4146, 268758)]$
324870.cm4	324870cm4	324870.cm	324870cm	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 13^{4} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$61880$	$48$	$0$	$2.086895984$	$1$		$4$	$2359296$	$1.674532$	$26546265663191/31856082570$	$0.91461$	$3.36111$	$[1, 0, 1, 30452, -2116852]$	\(y^2+xy+y=x^3+30452x-2116852\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 104.12.0.?, 680.12.0.?, $\ldots$	$[(172, 2780)]$
338130.dc4	338130dc4	338130.dc	338130dc	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2 \cdot 3^{14} \cdot 5 \cdot 13^{4} \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$18.85420239$	$1$		$0$	$18874368$	$2.667488$	$26546265663191/31856082570$	$0.91461$	$4.28648$	$[1, -1, 1, 1616467, -820051729]$	\(y^2+xy+y=x^3-x^2+1616467x-820051729\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 104.12.0.?, 408.12.0.?, $\ldots$	$[(4100095119/322, 262008529169731/322)]$
430950.cl4	430950cl3	430950.cl	430950cl	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2 \cdot 3^{8} \cdot 5^{7} \cdot 13^{10} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$1$		$0$	$33030144$	$2.788769$	$26546265663191/31856082570$	$0.91461$	$4.31851$	$[1, 0, 1, 2625749, 1697120648]$	\(y^2+xy+y=x^3+2625749x+1697120648\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[]$