Elliptic curve search results

Results (17 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
5610.r1	5610q1	5610.r	5610q	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 17 \)	$1$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$11220$	$16$	$0$	$0.685997473$	$1$		$10$	$1440$	$0.018888$	$-119168121961/2524500$	$0.85407$	$2.95862$	$[1, 0, 1, -103, 398]$	\(y^2+xy+y=x^3-103x+398\)	3.8.0-3.a.1.2, 11220.16.0.?	$[(7, 2)]$
16830.bo1	16830cg1	16830.bo	16830cg	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$11220$	$16$	$0$	$1.955553465$	$1$		$2$	$11520$	$0.568194$	$-119168121961/2524500$	$0.85407$	$3.30199$	$[1, -1, 1, -923, -10753]$	\(y^2+xy+y=x^3-x^2-923x-10753\)	3.8.0-3.a.1.1, 11220.16.0.?	$[(51, 244)]$
28050.cn1	28050cb1	28050.cn	28050cb	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$0.774898303$	$1$		$2$	$34560$	$0.823607$	$-119168121961/2524500$	$0.85407$	$3.43656$	$[1, 1, 1, -2563, 49781]$	\(y^2+xy+y=x^3+x^2-2563x+49781\)	3.4.0.a.1, 15.8.0-3.a.1.2, 2244.8.0.?, 11220.16.0.?	$[(-5, 252)]$
44880.be1	44880bw1	44880.be	44880bw	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$1$	$1$		$0$	$34560$	$0.712035$	$-119168121961/2524500$	$0.85407$	$3.16078$	$[0, -1, 0, -1640, -25488]$	\(y^2=x^3-x^2-1640x-25488\)	3.4.0.a.1, 12.8.0-3.a.1.1, 5610.8.0.?, 11220.16.0.?	$[]$
61710.cx1	61710cy1	61710.cx	61710cy	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$1$	$1$		$0$	$172800$	$1.217836$	$-119168121961/2524500$	$0.85407$	$3.61980$	$[1, 0, 0, -12405, -542475]$	\(y^2+xy=x^3-12405x-542475\)	3.4.0.a.1, 33.8.0-3.a.1.2, 1020.8.0.?, 11220.16.0.?	$[]$
84150.ci1	84150ce1	84150.ci	84150ce	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$3.143344145$	$1$		$2$	$276480$	$1.372913$	$-119168121961/2524500$	$0.85407$	$3.68490$	$[1, -1, 0, -23067, -1367159]$	\(y^2+xy=x^3-x^2-23067x-1367159\)	3.4.0.a.1, 15.8.0-3.a.1.1, 2244.8.0.?, 11220.16.0.?	$[(404, 7223)]$
95370.h1	95370g1	95370.h	95370g	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 17^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$1.433564653$	$1$		$12$	$414720$	$1.435495$	$-119168121961/2524500$	$0.85407$	$3.71017$	$[1, 1, 0, -29628, 1986228]$	\(y^2+xy=x^3+x^2-29628x+1986228\)	3.4.0.a.1, 51.8.0-3.a.1.2, 660.8.0.?, 11220.16.0.?	$[(137, 654), (86, 246)]$
134640.bs1	134640cf1	134640.bs	134640cf	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$1$	$1$		$0$	$276480$	$1.261341$	$-119168121961/2524500$	$0.85407$	$3.42489$	$[0, 0, 0, -14763, 702938]$	\(y^2=x^3-14763x+702938\)	3.4.0.a.1, 12.8.0-3.a.1.2, 5610.8.0.?, 11220.16.0.?	$[]$
179520.t1	179520hv1	179520.t	179520hv	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$22440$	$16$	$0$	$1$	$1$		$0$	$276480$	$1.058609$	$-119168121961/2524500$	$0.85407$	$3.14236$	$[0, -1, 0, -6561, 210465]$	\(y^2=x^3-x^2-6561x+210465\)	3.4.0.a.1, 24.8.0-3.a.1.2, 11220.8.0.?, 22440.16.0.?	$[]$
179520.fn1	179520bq1	179520.fn	179520bq	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$22440$	$16$	$0$	$2.470148984$	$1$		$2$	$276480$	$1.058609$	$-119168121961/2524500$	$0.85407$	$3.14236$	$[0, 1, 0, -6561, -210465]$	\(y^2=x^3+x^2-6561x-210465\)	3.4.0.a.1, 24.8.0-3.a.1.4, 11220.8.0.?, 22440.16.0.?	$[(231, 3264)]$
185130.w1	185130ei1	185130.w	185130ei	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$0.393674259$	$1$		$6$	$1382400$	$1.767141$	$-119168121961/2524500$	$0.85407$	$3.83540$	$[1, -1, 0, -111645, 14646825]$	\(y^2+xy=x^3-x^2-111645x+14646825\)	3.4.0.a.1, 33.8.0-3.a.1.1, 1020.8.0.?, 11220.16.0.?	$[(36, 3249)]$
224400.gc1	224400by1	224400.gc	224400by	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$2.445419868$	$1$		$2$	$829440$	$1.516754$	$-119168121961/2524500$	$0.85407$	$3.53165$	$[0, 1, 0, -41008, -3268012]$	\(y^2=x^3+x^2-41008x-3268012\)	3.4.0.a.1, 60.8.0-3.a.1.2, 1122.8.0.?, 11220.16.0.?	$[(268, 2250)]$
274890.b1	274890b1	274890.b	274890b	$2$	$3$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$78540$	$16$	$0$	$7.259049331$	$1$		$2$	$544320$	$0.991843$	$-119168121961/2524500$	$0.85407$	$2.97148$	$[1, 1, 0, -5023, -141623]$	\(y^2+xy=x^3+x^2-5023x-141623\)	3.4.0.a.1, 21.8.0-3.a.1.1, 11220.8.0.?, 78540.16.0.?	$[(1968, 86291)]$
286110.gh1	286110gh1	286110.gh	286110gh	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$1$	$1$		$0$	$3317760$	$1.984800$	$-119168121961/2524500$	$0.85407$	$3.91039$	$[1, -1, 1, -266657, -53894811]$	\(y^2+xy+y=x^3-x^2-266657x-53894811\)	3.4.0.a.1, 51.8.0-3.a.1.1, 660.8.0.?, 11220.16.0.?	$[]$
308550.bc1	308550bc1	308550.bc	308550bc	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$1$	$1$		$0$	$4147200$	$2.022556$	$-119168121961/2524500$	$0.85407$	$3.92288$	$[1, 1, 0, -310125, -67809375]$	\(y^2+xy=x^3+x^2-310125x-67809375\)	3.4.0.a.1, 165.8.0.?, 204.8.0.?, 11220.16.0.?	$[]$
476850.jd1	476850jd1	476850.jd	476850jd	$2$	$3$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$1$	$1$		$0$	$9953280$	$2.240215$	$-119168121961/2524500$	$0.85407$	$3.99203$	$[1, 0, 0, -740713, 249759917]$	\(y^2+xy=x^3-740713x+249759917\)	3.4.0.a.1, 132.8.0.?, 255.8.0.?, 11220.16.0.?	$[]$
493680.cv1	493680cv1	493680.cv	493680cv	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$11220$	$16$	$0$	$0.682072534$	$1$		$4$	$4147200$	$1.910984$	$-119168121961/2524500$	$0.85407$	$3.68011$	$[0, -1, 0, -198480, 34718400]$	\(y^2=x^3-x^2-198480x+34718400\)	3.4.0.a.1, 132.8.0.?, 510.8.0.?, 11220.16.0.?	$[(290, 1210)]$