Elliptic curve search results

Results (16 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
7866.h2	7866d1	7866.h	7866d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{6} \cdot 3^{9} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$3.596095980$	$1$		$3$	$2880$	$0.364343$	$29503629/27968$	$0.79391$	$3.01969$	$[1, -1, 0, 174, -748]$	\(y^2+xy=x^3-x^2+174x-748\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(29, 153)]$
7866.n2	7866p1	7866.n	7866p	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{6} \cdot 3^{3} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$0.972690634$	$1$		$7$	$960$	$-0.184963$	$29503629/27968$	$0.79391$	$2.28486$	$[1, -1, 1, 19, 21]$	\(y^2+xy+y=x^3-x^2+19x+21\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(3, 8)]$
62928.i2	62928o1	62928.i	62928o	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{18} \cdot 3^{3} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$3.009843955$	$1$		$5$	$23040$	$0.508183$	$29503629/27968$	$0.79391$	$2.60763$	$[0, 0, 0, 309, -1670]$	\(y^2=x^3+309x-1670\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(6, 20)]$
62928.bi2	62928n1	62928.bi	62928n	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{18} \cdot 3^{9} \cdot 19 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$1$	$4$	$2$	$1$	$69120$	$1.057489$	$29503629/27968$	$0.79391$	$3.20417$	$[0, 0, 0, 2781, 45090]$	\(y^2=x^3+2781x+45090\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[ ]$
149454.i2	149454co1	149454.i	149454co	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{3} \cdot 19^{7} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$1$	$1$		$1$	$345600$	$1.287256$	$29503629/27968$	$0.79391$	$3.20296$	$[1, -1, 0, 6972, -180720]$	\(y^2+xy=x^3-x^2+6972x-180720\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[ ]$
149454.ck2	149454bj1	149454.ck	149454bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 23 \)	\( - 2^{6} \cdot 3^{9} \cdot 19^{7} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$1$	$1$		$1$	$1036800$	$1.836563$	$29503629/27968$	$0.79391$	$3.75620$	$[1, -1, 1, 62746, 4816693]$	\(y^2+xy+y=x^3-x^2+62746x+4816693\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[ ]$
180918.h2	180918ca1	180918.h	180918ca	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 23^{2} \)	\( - 2^{6} \cdot 3^{9} \cdot 19 \cdot 23^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$1$	$1$		$1$	$1520640$	$1.932091$	$29503629/27968$	$0.79391$	$3.79161$	$[1, -1, 0, 91947, 8549045]$	\(y^2+xy=x^3-x^2+91947x+8549045\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[ ]$
180918.bx2	180918be1	180918.bx	180918be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 23^{2} \)	\( - 2^{6} \cdot 3^{3} \cdot 19 \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$7.433682924$	$1$		$1$	$506880$	$1.382784$	$29503629/27968$	$0.79391$	$3.24711$	$[1, -1, 1, 10216, -320037]$	\(y^2+xy+y=x^3-x^2+10216x-320037\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(6869/5, 584493/5)]$
196650.bi2	196650dy1	196650.bi	196650dy	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 23 \)	\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$1.998581462$	$1$		$7$	$122880$	$0.619756$	$29503629/27968$	$0.79391$	$2.47371$	$[1, -1, 0, 483, 3141]$	\(y^2+xy=x^3-x^2+483x+3141\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(18, 123)]$
196650.di2	196650cb1	196650.di	196650cb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 23 \)	\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$2.532661311$	$1$		$5$	$368640$	$1.169062$	$29503629/27968$	$0.79391$	$3.01449$	$[1, -1, 1, 4345, -89153]$	\(y^2+xy+y=x^3-x^2+4345x-89153\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(73, 746)]$
251712.bc2	251712bc1	251712.bc	251712bc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{24} \cdot 3^{9} \cdot 19 \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$20.24107083$	$1$		$5$	$552960$	$1.404064$	$29503629/27968$	$0.79391$	$3.18141$	$[0, 0, 0, 11124, -360720]$	\(y^2=x^3+11124x-360720\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(84, 1080), (1969/2, 89225/2)]$
251712.bj2	251712bj1	251712.bj	251712bj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{24} \cdot 3^{9} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$7.755050253$	$1$		$1$	$552960$	$1.404064$	$29503629/27968$	$0.79391$	$3.18141$	$[0, 0, 0, 11124, 360720]$	\(y^2=x^3+11124x+360720\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(2089/2, 97525/2)]$
251712.dw2	251712dw1	251712.dw	251712dw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{24} \cdot 3^{3} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$5.093810215$	$1$		$1$	$184320$	$0.854757$	$29503629/27968$	$0.79391$	$2.65137$	$[0, 0, 0, 1236, 13360]$	\(y^2=x^3+1236x+13360\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(-15/2, 745/2)]$
251712.ed2	251712ed1	251712.ed	251712ed	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 23 \)	\( - 2^{24} \cdot 3^{3} \cdot 19 \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$1$	$4$	$2$	$1$	$184320$	$0.854757$	$29503629/27968$	$0.79391$	$2.65137$	$[0, 0, 0, 1236, -13360]$	\(y^2=x^3+1236x-13360\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[ ]$
385434.r2	385434r1	385434.r	385434r	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \)	\( - 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$4.635599886$	$1$		$5$	$1036800$	$1.337297$	$29503629/27968$	$0.79391$	$3.01373$	$[1, -1, 0, 8517, 239525]$	\(y^2+xy=x^3-x^2+8517x+239525\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(-25, 115)]$
385434.fj2	385434fj1	385434.fj	385434fj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \)	\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 19 \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$10488$	$12$	$0$	$5.022987312$	$1$		$1$	$345600$	$0.787992$	$29503629/27968$	$0.79391$	$2.50124$	$[1, -1, 1, 946, -9187]$	\(y^2+xy+y=x^3-x^2+946x-9187\)	2.3.0.a.1, 24.6.0.d.1, 2622.6.0.?, 3496.6.0.?, 10488.12.0.?	$[(181/3, 3305/3)]$

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