Elliptic curve search results

Results (22 matches)

  Download displayed columns for results to

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
10920.o1	10920q1	10920.o	10920q	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.573215$	$565357377316/257985$	$0.87605$	$3.65572$	$[0, 1, 0, -1736, -28416]$	\(y^2=x^3+x^2-1736x-28416\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
21840.n1	21840e1	21840.n	21840e	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.522505678$	$1$		$9$	$18432$	$0.573215$	$565357377316/257985$	$0.87605$	$3.40211$	$[0, -1, 0, -1736, 28416]$	\(y^2=x^3-x^2-1736x+28416\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(20, 36)]$
32760.v1	32760t1	32760.v	32760t	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$73728$	$1.122522$	$565357377316/257985$	$0.87605$	$3.90343$	$[0, 0, 0, -15627, 751606]$	\(y^2=x^3-15627x+751606\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
54600.bg1	54600h1	54600.bg	54600h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$221184$	$1.377935$	$565357377316/257985$	$0.87605$	$4.00162$	$[0, -1, 0, -43408, -3465188]$	\(y^2=x^3-x^2-43408x-3465188\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
65520.eo1	65520br1	65520.eo	65520br	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$4.665358949$	$1$		$3$	$147456$	$1.122522$	$565357377316/257985$	$0.87605$	$3.65946$	$[0, 0, 0, -15627, -751606]$	\(y^2=x^3-15627x-751606\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(829, 23580)]$
76440.bm1	76440cf1	76440.bm	76440cf	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.546171$	$565357377316/257985$	$0.87605$	$4.06142$	$[0, -1, 0, -85080, 9576540]$	\(y^2=x^3-x^2-85080x+9576540\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
87360.bt1	87360w1	87360.bt	87360w	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$4.450096337$	$1$		$11$	$147456$	$0.919789$	$565357377316/257985$	$0.87605$	$3.35312$	$[0, -1, 0, -6945, -220383]$	\(y^2=x^3-x^2-6945x-220383\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(-48, 9), (303, 5040)]$
87360.hk1	87360hd1	87360.hk	87360hd	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.096398156$	$1$		$5$	$147456$	$0.919789$	$565357377316/257985$	$0.87605$	$3.35312$	$[0, 1, 0, -6945, 220383]$	\(y^2=x^3+x^2-6945x+220383\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(33, 168)]$
109200.dx1	109200bo1	109200.dx	109200bo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$0.528489122$	$1$		$31$	$442368$	$1.377935$	$565357377316/257985$	$0.87605$	$3.76253$	$[0, 1, 0, -43408, 3465188]$	\(y^2=x^3+x^2-43408x+3465188\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(128, 150), (278, 3600)]$
141960.ch1	141960be1	141960.ch	141960be	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$1548288$	$1.855690$	$565357377316/257985$	$0.87605$	$4.16258$	$[0, 1, 0, -293440, -61256272]$	\(y^2=x^3+x^2-293440x-61256272\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
152880.ga1	152880fm1	152880.ga	152880fm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.546171$	$565357377316/257985$	$0.87605$	$3.82559$	$[0, 1, 0, -85080, -9576540]$	\(y^2=x^3+x^2-85080x-9576540\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
163800.cw1	163800t1	163800.cw	163800t	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$1769472$	$1.927240$	$565357377316/257985$	$0.87605$	$4.18448$	$[0, 0, 0, -390675, 93950750]$	\(y^2=x^3-390675x+93950750\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
229320.a1	229320dp1	229320.a	229320dp	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$6.469670703$	$1$		$1$	$3538944$	$2.095478$	$565357377316/257985$	$0.87605$	$4.23397$	$[0, 0, 0, -765723, -257800858]$	\(y^2=x^3-765723x-257800858\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(27769/4, 3861837/4)]$
262080.dk1	262080dk1	262080.dk	262080dk	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$1179648$	$1.469095$	$565357377316/257985$	$0.87605$	$3.58619$	$[0, 0, 0, -62508, 6012848]$	\(y^2=x^3-62508x+6012848\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
262080.ds1	262080ds1	262080.ds	262080ds	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$1179648$	$1.469095$	$565357377316/257985$	$0.87605$	$3.58619$	$[0, 0, 0, -62508, -6012848]$	\(y^2=x^3-62508x-6012848\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
283920.cw1	283920cw1	283920.cw	283920cw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$3096576$	$1.855690$	$565357377316/257985$	$0.87605$	$3.93279$	$[0, -1, 0, -293440, 61256272]$	\(y^2=x^3-x^2-293440x+61256272\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
327600.gi1	327600gi1	327600.gi	327600gi	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$3538944$	$1.927240$	$565357377316/257985$	$0.87605$	$3.95609$	$[0, 0, 0, -390675, -93950750]$	\(y^2=x^3-390675x-93950750\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
382200.jp1	382200jp1	382200.jp	382200jp	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 7^{8} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$10616832$	$2.350891$	$565357377316/257985$	$0.87605$	$4.30415$	$[0, 1, 0, -2127008, 1192813488]$	\(y^2=x^3+x^2-2127008x+1192813488\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
425880.cs1	425880cs1	425880.cs	425880cs	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 13^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$12386304$	$2.404995$	$565357377316/257985$	$0.87605$	$4.31831$	$[0, 0, 0, -2640963, 1651278382]$	\(y^2=x^3-2640963x+1651278382\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
436800.fn1	436800fn1	436800.fn	436800fn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1.735215752$	$1$		$5$	$3538944$	$1.724508$	$565357377316/257985$	$0.87605$	$3.68113$	$[0, -1, 0, -173633, 27895137]$	\(y^2=x^3-x^2-173633x+27895137\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(251, 252)]$
436800.pj1	436800pj1	436800.pj	436800pj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$1$	$1$		$1$	$3538944$	$1.724508$	$565357377316/257985$	$0.87605$	$3.68113$	$[0, 1, 0, -173633, -27895137]$	\(y^2=x^3+x^2-173633x-27895137\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[ ]$
458640.hf1	458640hf1	458640.hf	458640hf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \)	\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3640$	$12$	$0$	$3.173859784$	$1$		$5$	$7077888$	$2.095478$	$565357377316/257985$	$0.87605$	$4.00884$	$[0, 0, 0, -765723, 257800858]$	\(y^2=x^3-765723x+257800858\)	2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.?	$[(533, 1044)]$

  Download displayed columns for results to