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.q4	6630t4	6630.q	6630t	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 17^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.48.0.2	2B	$17680$	$192$	$3$	$0.520960267$	$1$		$18$	$73728$	$1.727564$	$1193680917131039/7728836230440000$	$1.03888$	$5.00472$	$[1, 1, 1, 2210, -4228645]$	\(y^2+xy+y=x^3+x^2+2210x-4228645\)	2.3.0.a.1, 4.48.0-4.c.1.1, 8840.96.1.?, 17680.192.3.?	$[(173, 1083)]$
19890.d4	19890i4	19890.d	19890i	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 13^{4} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$53040$	$192$	$3$	$1.036153858$	$1$		$8$	$589824$	$2.276871$	$1193680917131039/7728836230440000$	$1.03888$	$5.11519$	$[1, -1, 0, 19890, 114193300]$	\(y^2+xy=x^3-x^2+19890x+114193300\)	2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 8840.48.1.?, 17680.96.3.?, $\ldots$	$[(260, 11570)]$
33150.bc4	33150o3	33150.bc	33150o	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 13^{4} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$17680$	$192$	$3$	$1$	$1$		$0$	$1769472$	$2.532284$	$1193680917131039/7728836230440000$	$1.03888$	$5.15862$	$[1, 0, 1, 55249, -528691102]$	\(y^2+xy+y=x^3+55249x-528691102\)	2.3.0.a.1, 4.24.0.c.1, 20.48.0-4.c.1.1, 1768.48.0.?, 8840.96.1.?, $\ldots$	$[]$
53040.dc4	53040db3	53040.dc	53040db	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 17^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.48.0.2	2B	$17680$	$192$	$3$	$1$	$1$		$3$	$1769472$	$2.420712$	$1193680917131039/7728836230440000$	$1.03888$	$4.81267$	$[0, 1, 0, 35360, 270703988]$	\(y^2=x^3+x^2+35360x+270703988\)	2.3.0.a.1, 4.48.0-4.c.1.1, 8840.96.1.?, 17680.192.3.?	$[]$
86190.l4	86190g3	86190.l	86190g	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 13^{10} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$17680$	$192$	$3$	$1$	$1$		$0$	$12386304$	$3.010040$	$1193680917131039/7728836230440000$	$1.03888$	$5.22936$	$[1, 1, 0, 373487, -9292200107]$	\(y^2+xy=x^3+x^2+373487x-9292200107\)	2.3.0.a.1, 4.24.0.c.1, 52.48.0-4.c.1.1, 680.48.0.?, 8840.96.1.?, $\ldots$	$[]$
99450.dw4	99450ct3	99450.dw	99450ct	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{10} \cdot 13^{4} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$53040$	$192$	$3$	$1$	$1$		$0$	$14155776$	$3.081589$	$1193680917131039/7728836230440000$	$1.03888$	$5.23894$	$[1, -1, 1, 497245, 14274659747]$	\(y^2+xy+y=x^3-x^2+497245x+14274659747\)	2.3.0.a.1, 4.24.0.c.1, 60.48.0-4.c.1.1, 5304.48.0.?, 8840.48.1.?, $\ldots$	$[]$
112710.cw4	112710ct3	112710.cw	112710ct	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$17680$	$192$	$3$	$1$	$1$		$0$	$21233664$	$3.144169$	$1193680917131039/7728836230440000$	$1.03888$	$5.24713$	$[1, 0, 0, 638684, -20779802800]$	\(y^2+xy=x^3+638684x-20779802800\)	2.3.0.a.1, 4.24.0.c.1, 68.48.0-4.c.1.1, 520.48.0.?, 8840.96.1.?, $\ldots$	$[]$
159120.ca4	159120ca3	159120.ca	159120ca	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{10} \cdot 5^{4} \cdot 13^{4} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$53040$	$192$	$3$	$1$	$1$		$1$	$14155776$	$2.970016$	$1193680917131039/7728836230440000$	$1.03888$	$4.92158$	$[0, 0, 0, 318237, -7308689438]$	\(y^2=x^3+318237x-7308689438\)	2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 8840.48.1.?, 17680.96.3.?, $\ldots$	$[]$
212160.bs4	212160ed4	212160.bs	212160ed	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.4	2B	$17680$	$192$	$3$	$3.777793854$	$1$		$5$	$14155776$	$2.767284$	$1193680917131039/7728836230440000$	$1.03888$	$4.60779$	$[0, -1, 0, 141439, 2165490465]$	\(y^2=x^3-x^2+141439x+2165490465\)	2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.1, 8840.96.1.?, 17680.192.3.?	$[(-1189, 17748)]$
212160.eb4	212160fg3	212160.eb	212160fg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.48.0.4	2B	$17680$	$192$	$3$	$1.646877673$	$1$		$7$	$14155776$	$2.767284$	$1193680917131039/7728836230440000$	$1.03888$	$4.60779$	$[0, 1, 0, 141439, -2165490465]$	\(y^2=x^3+x^2+141439x-2165490465\)	2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.1, 8840.96.1.?, 17680.192.3.?	$[(1291, 13056)]$
258570.fp4	258570fp4	258570.fp	258570fp	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 13^{10} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$53040$	$192$	$3$	$1$	$1$		$0$	$99090432$	$3.559345$	$1193680917131039/7728836230440000$	$1.03888$	$5.29729$	$[1, -1, 1, 3361378, 250892764269]$	\(y^2+xy+y=x^3-x^2+3361378x+250892764269\)	2.3.0.a.1, 4.24.0.c.1, 156.48.0.?, 2040.48.0.?, 8840.48.1.?, $\ldots$	$[]$
265200.g4	265200g4	265200.g	265200g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{4} \cdot 5^{10} \cdot 13^{4} \cdot 17^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$17680$	$192$	$3$	$1$	$1$		$1$	$42467328$	$3.225430$	$1193680917131039/7728836230440000$	$1.03888$	$4.96569$	$[0, -1, 0, 883992, 33836230512]$	\(y^2=x^3-x^2+883992x+33836230512\)	2.3.0.a.1, 4.24.0.c.1, 20.48.0-4.c.1.1, 1768.48.0.?, 8840.96.1.?, $\ldots$	$[]$
324870.ez4	324870ez4	324870.ez	324870ez	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 13^{4} \cdot 17^{4} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$123760$	$192$	$3$	$2.068491245$	$1$		$18$	$21233664$	$2.700520$	$1193680917131039/7728836230440000$	$1.03888$	$4.38996$	$[1, 0, 0, 108289, 1450750041]$	\(y^2+xy=x^3+108289x+1450750041\)	2.3.0.a.1, 4.24.0.c.1, 28.48.0-4.c.1.1, 8840.48.1.?, 17680.96.3.?, $\ldots$	$[(706, 42997), (-44, 38047)]$
338130.ca4	338130ca4	338130.ca	338130ca	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{6} \cdot 3^{10} \cdot 5^{4} \cdot 13^{4} \cdot 17^{10} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$53040$	$192$	$3$	$1$	$1$		$0$	$169869312$	$3.693478$	$1193680917131039/7728836230440000$	$1.03888$	$5.31210$	$[1, -1, 0, 5748156, 561054675600]$	\(y^2+xy=x^3-x^2+5748156x+561054675600\)	2.3.0.a.1, 4.24.0.c.1, 204.48.0.?, 1560.48.0.?, 8840.48.1.?, $\ldots$	$[]$
430950.gu4	430950gu3	430950.gu	430950gu	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{6} \cdot 3^{4} \cdot 5^{10} \cdot 13^{10} \cdot 17^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$17680$	$192$	$3$	$2.846838020$	$1$		$4$	$297271296$	$3.814758$	$1193680917131039/7728836230440000$	$1.03888$	$5.32496$	$[1, 0, 0, 9337162, -1161543687708]$	\(y^2+xy=x^3+9337162x-1161543687708\)	2.3.0.a.1, 4.24.0.c.1, 136.48.0.?, 260.48.0.?, 8840.96.1.?, $\ldots$	$[(17356, 2047714)]$