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.i2	5610g1	5610.i	5610g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$14080$	$1.143728$	$173629978755828841/1000026931200$	$0.95177$	$4.59851$	$[1, 1, 0, -11622, -484716]$	\(y^2+xy=x^3+x^2-11622x-484716\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
16830.bu2	16830ch1	16830.bu	16830ch	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.166134217$	$1$		$17$	$112640$	$1.693035$	$173629978755828841/1000026931200$	$0.95177$	$4.75673$	$[1, -1, 1, -104603, 12982731]$	\(y^2+xy+y=x^3-x^2-104603x+12982731\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(35, 3042)]$
28050.dd2	28050dd1	28050.dd	28050dd	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{8} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$337920$	$1.948446$	$173629978755828841/1000026931200$	$0.95177$	$4.81874$	$[1, 0, 0, -290563, -60008383]$	\(y^2+xy=x^3-290563x-60008383\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
44880.cm2	44880cv1	44880.cm	44880cv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{34} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.205700603$	$1$		$3$	$337920$	$1.836876$	$173629978755828841/1000026931200$	$0.95177$	$4.48232$	$[0, 1, 0, -185960, 30649908]$	\(y^2=x^3+x^2-185960x+30649908\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(231, 270)]$
61710.bw2	61710cb1	61710.bw	61710cb	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$0.759356472$	$1$		$9$	$1689600$	$2.342674$	$173629978755828841/1000026931200$	$0.95177$	$4.90318$	$[1, 1, 1, -1406325, 638125467]$	\(y^2+xy+y=x^3+x^2-1406325x+638125467\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(567, 4556)]$
84150.x2	84150cj1	84150.x	84150cj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 5^{8} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$4.467959238$	$1$		$3$	$2703360$	$2.497753$	$173629978755828841/1000026931200$	$0.95177$	$4.93318$	$[1, -1, 0, -2615067, 1620226341]$	\(y^2+xy=x^3-x^2-2615067x+1620226341\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(159, 34683)]$
95370.ba2	95370bf1	95370.ba	95370bf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{22} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$9.903294579$	$1$		$1$	$4055040$	$2.560333$	$173629978755828841/1000026931200$	$0.95177$	$4.94482$	$[1, 0, 1, -3358909, -2357897704]$	\(y^2+xy+y=x^3-3358909x-2357897704\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-3452333/57, 733368334/57)]$
134640.o2	134640bx1	134640.o	134640bx	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{34} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$2703360$	$2.386181$	$173629978755828841/1000026931200$	$0.95177$	$4.62350$	$[0, 0, 0, -1673643, -829221158]$	\(y^2=x^3-1673643x-829221158\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
179520.n2	179520dp1	179520.n	179520dp	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{40} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$2703360$	$2.183449$	$173629978755828841/1000026931200$	$0.95177$	$4.31246$	$[0, -1, 0, -743841, 245943105]$	\(y^2=x^3-x^2-743841x+245943105\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
179520.ft2	179520gj1	179520.ft	179520gj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{40} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$16.49620980$	$1$		$1$	$2703360$	$2.183449$	$173629978755828841/1000026931200$	$0.95177$	$4.31246$	$[0, 1, 0, -743841, -245943105]$	\(y^2=x^3+x^2-743841x-245943105\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-218223398/681, 102287898145/681)]$
185130.i2	185130eb1	185130.i	185130eb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.909970393$	$1$		$7$	$13516800$	$2.891983$	$173629978755828841/1000026931200$	$0.95177$	$5.00253$	$[1, -1, 0, -12656925, -17242044539]$	\(y^2+xy=x^3-x^2-12656925x-17242044539\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(-2065, 10289)]$
224400.di2	224400fq1	224400.di	224400fq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{34} \cdot 3 \cdot 5^{8} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$8110080$	$2.641594$	$173629978755828841/1000026931200$	$0.95177$	$4.68056$	$[0, -1, 0, -4649008, 3840536512]$	\(y^2=x^3-x^2-4649008x+3840536512\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
274890.bw2	274890bw1	274890.bw	274890bw	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{2} \cdot 7^{6} \cdot 11 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$1$		$1$	$5068800$	$2.116684$	$173629978755828841/1000026931200$	$0.95177$	$4.10178$	$[1, 0, 1, -569504, 164549102]$	\(y^2+xy+y=x^3-569504x+164549102\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$
286110.fw2	286110fw1	286110.fw	286110fw	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{22} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 17^{8} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1.999939003$	$1$		$21$	$32440320$	$3.109642$	$173629978755828841/1000026931200$	$0.95177$	$5.03709$	$[1, -1, 1, -30230177, 63663238001]$	\(y^2+xy+y=x^3-x^2-30230177x+63663238001\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(2359, 72804), (4671, 153724)]$
308550.en2	308550en1	308550.en	308550en	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{22} \cdot 3 \cdot 5^{8} \cdot 11^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$17.53017018$	$1$		$1$	$40550400$	$3.147396$	$173629978755828841/1000026931200$	$0.95177$	$5.04284$	$[1, 0, 1, -35158126, 79835999648]$	\(y^2+xy+y=x^3-35158126x+79835999648\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(3649697097/1064, -2554705774951/1064)]$
476850.hp2	476850hp1	476850.hp	476850hp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{22} \cdot 3 \cdot 5^{8} \cdot 11 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$5.661577238$	$1$		$3$	$97320960$	$3.365055$	$173629978755828841/1000026931200$	$0.95177$	$5.07471$	$[1, 1, 1, -83972713, -294737212969]$	\(y^2+xy+y=x^3+x^2-83972713x-294737212969\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[(350575, 207326712)]$
493680.hh2	493680hh1	493680.hh	493680hh	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{34} \cdot 3 \cdot 5^{2} \cdot 11^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4488$	$12$	$0$	$1$	$4$	$2$	$1$	$40550400$	$3.035824$	$173629978755828841/1000026931200$	$0.95177$	$4.75992$	$[0, 1, 0, -22501200, -40885032300]$	\(y^2=x^3+x^2-22501200x-40885032300\)	2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.?	$[]$