Elliptic curve search results

Results (17 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
5160.n4	5160m1	5160.n	5160m	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{8} \cdot 3^{12} \cdot 5 \cdot 43 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5160$	$48$	$0$	$1$	$1$		$3$	$4224$	$0.718805$	$-315278049616/114259815$	$0.89070$	$3.80271$	$[0, 1, 0, -900, 12960]$	\(y^2=x^3+x^2-900x+12960\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 430.6.0.?, 860.24.0.?, $\ldots$	$[ ]$
10320.l4	10320f1	10320.l	10320f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{8} \cdot 3^{12} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5160$	$48$	$0$	$9.469661348$	$1$		$1$	$8448$	$0.718805$	$-315278049616/114259815$	$0.89070$	$3.51750$	$[0, -1, 0, -900, -12960]$	\(y^2=x^3-x^2-900x-12960\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 430.6.0.?, 860.24.0.?, $\ldots$	$[(17992/21, 1191952/21)]$
15480.a4	15480b1	15480.a	15480b	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{8} \cdot 3^{18} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$33792$	$1.268112$	$-315278049616/114259815$	$0.89070$	$4.05293$	$[0, 0, 0, -8103, -358022]$	\(y^2=x^3-8103x-358022\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$	$[ ]$
25800.i4	25800d1	25800.i	25800d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$101376$	$1.523523$	$-315278049616/114259815$	$0.89070$	$4.15084$	$[0, -1, 0, -22508, 1665012]$	\(y^2=x^3-x^2-22508x+1665012\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 120.24.0.?, $\ldots$	$[ ]$
30960.m4	30960e1	30960.m	30960e	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{8} \cdot 3^{18} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$5160$	$48$	$0$	$4.439126857$	$1$		$3$	$67584$	$1.268112$	$-315278049616/114259815$	$0.89070$	$3.78125$	$[0, 0, 0, -8103, 358022]$	\(y^2=x^3-8103x+358022\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$	$[(149, 1568)]$
41280.j4	41280i1	41280.j	41280i	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{12} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$67584$	$1.065378$	$-315278049616/114259815$	$0.89070$	$3.45000$	$[0, -1, 0, -3601, 107281]$	\(y^2=x^3-x^2-3601x+107281\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 430.6.0.?, $\ldots$	$[ ]$
41280.cg4	41280ct1	41280.cg	41280ct	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{12} \cdot 5 \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5160$	$48$	$0$	$1.921540509$	$1$		$5$	$67584$	$1.065378$	$-315278049616/114259815$	$0.89070$	$3.45000$	$[0, 1, 0, -3601, -107281]$	\(y^2=x^3+x^2-3601x-107281\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 430.6.0.?, $\ldots$	$[(125, 1188)]$
51600.ct4	51600u1	51600.ct	51600u	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{8} \cdot 3^{12} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$202752$	$1.523523$	$-315278049616/114259815$	$0.89070$	$3.88570$	$[0, 1, 0, -22508, -1665012]$	\(y^2=x^3+x^2-22508x-1665012\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.y.1, 120.24.0.?, $\ldots$	$[ ]$
77400.v4	77400bk1	77400.v	77400bk	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{8} \cdot 3^{18} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$811008$	$2.072830$	$-315278049616/114259815$	$0.89070$	$4.33131$	$[0, 0, 0, -202575, -44752750]$	\(y^2=x^3-202575x-44752750\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.2, $\ldots$	$[ ]$
123840.ew4	123840ft1	123840.ew	123840ft	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{18} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$540672$	$1.614685$	$-315278049616/114259815$	$0.89070$	$3.68889$	$[0, 0, 0, -32412, 2864176]$	\(y^2=x^3-32412x+2864176\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 430.6.0.?, $\ldots$	$[ ]$
123840.fg4	123840cx1	123840.fg	123840cx	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( - 2^{14} \cdot 3^{18} \cdot 5 \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$5160$	$48$	$0$	$1$	$4$	$2$	$1$	$540672$	$1.614685$	$-315278049616/114259815$	$0.89070$	$3.68889$	$[0, 0, 0, -32412, -2864176]$	\(y^2=x^3-32412x-2864176\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 430.6.0.?, $\ldots$	$[ ]$
154800.dx4	154800fw1	154800.dx	154800fw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( - 2^{8} \cdot 3^{18} \cdot 5^{7} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$1622016$	$2.072830$	$-315278049616/114259815$	$0.89070$	$4.08008$	$[0, 0, 0, -202575, 44752750]$	\(y^2=x^3-202575x+44752750\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.4, 60.12.0-4.c.1.1, $\ldots$	$[ ]$
206400.cz4	206400eq1	206400.cz	206400eq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{12} \cdot 5^{7} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$5.785895152$	$1$		$3$	$1622016$	$1.870098$	$-315278049616/114259815$	$0.89070$	$3.78537$	$[0, -1, 0, -90033, -13230063]$	\(y^2=x^3-x^2-90033x-13230063\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(3223/3, 15400/3)]$
206400.ht4	206400ha1	206400.ht	206400ha	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( - 2^{14} \cdot 3^{12} \cdot 5^{7} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$0.964024374$	$1$		$25$	$1622016$	$1.870098$	$-315278049616/114259815$	$0.89070$	$3.78537$	$[0, 1, 0, -90033, 13230063]$	\(y^2=x^3+x^2-90033x+13230063\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[(3, 3600), (-222, 4725)]$
221880.e4	221880bd1	221880.e	221880bd	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 5 \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$25$	$5$	$1$	$7805952$	$2.599403$	$-315278049616/114259815$	$0.89070$	$4.47407$	$[0, -1, 0, -1664716, -1053713804]$	\(y^2=x^3-x^2-1664716x-1053713804\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 120.24.0.?, $\ldots$	$[ ]$
252840.q4	252840q1	252840.q	252840q	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( - 2^{8} \cdot 3^{12} \cdot 5 \cdot 7^{6} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$36120$	$48$	$0$	$4.823233848$	$1$		$3$	$1622016$	$1.691761$	$-315278049616/114259815$	$0.89070$	$3.55159$	$[0, -1, 0, -44116, -4533500]$	\(y^2=x^3-x^2-44116x-4533500\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$	$[(1944, 85162)]$
443760.by4	443760by1	443760.by	443760by	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( - 2^{8} \cdot 3^{12} \cdot 5 \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1.880824295$	$1$		$3$	$15611904$	$2.599403$	$-315278049616/114259815$	$0.89070$	$4.23558$	$[0, 1, 0, -1664716, 1053713804]$	\(y^2=x^3+x^2-1664716x+1053713804\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.y.1, 120.24.0.?, $\ldots$	$[(1691, 55470)]$

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