Elliptic curve search results

Results (12 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
30345.h1	30345r2	30345.h	30345r	$2$	$2$	\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3 \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$0.624920396$	$1$		$6$	$12288$	$0.356452$	$208527857/91875$	$0.87030$	$2.67967$	$[1, 1, 1, -210, -660]$	\(y^2+xy+y=x^3+x^2-210x-660\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(18, 33)]$
30345.j1	30345u2	30345.j	30345u	$2$	$2$	\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3 \cdot 5^{4} \cdot 7^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$0$	$208896$	$1.773060$	$208527857/91875$	$0.87030$	$4.32682$	$[1, 0, 0, -60696, -2816835]$	\(y^2+xy=x^3-60696x-2816835\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[]$
91035.bk1	91035v2	91035.bk	91035v	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{7} \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1.082917675$	$1$		$4$	$98304$	$0.905759$	$208527857/91875$	$0.87030$	$2.99912$	$[1, -1, 0, -1890, 15925]$	\(y^2+xy=x^3-x^2-1890x+15925\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(-4, 155)]$
91035.bo1	91035be2	91035.bo	91035be	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 3^{7} \cdot 5^{4} \cdot 7^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$4.371899585$	$1$		$4$	$1671168$	$2.322365$	$208527857/91875$	$0.87030$	$4.48780$	$[1, -1, 0, -546264, 76054545]$	\(y^2+xy=x^3-x^2-546264x+76054545\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(136, 1997)]$
151725.cl1	151725cw2	151725.cl	151725cw	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3 \cdot 5^{10} \cdot 7^{2} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$4$	$2$	$0$	$5013504$	$2.577778$	$208527857/91875$	$0.87030$	$4.55255$	$[1, 1, 0, -1517400, -352104375]$	\(y^2+xy=x^3+x^2-1517400x-352104375\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[]$
151725.cr1	151725co2	151725.cr	151725co	$2$	$2$	\( 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3 \cdot 5^{10} \cdot 7^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$0$	$294912$	$1.161171$	$208527857/91875$	$0.87030$	$3.12761$	$[1, 0, 1, -5251, -71977]$	\(y^2+xy+y=x^3-5251x-71977\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[]$
212415.r1	212415v2	212415.r	212415v	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 3 \cdot 5^{4} \cdot 7^{8} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$3.405285588$	$1$		$4$	$10027008$	$2.746014$	$208527857/91875$	$0.87030$	$4.59225$	$[1, 1, 1, -2974105, 963200300]$	\(y^2+xy+y=x^3+x^2-2974105x+963200300\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(-92, 35203)]$
212415.v1	212415s2	212415.v	212415s	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 3 \cdot 5^{4} \cdot 7^{8} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$2.159888188$	$1$		$2$	$589824$	$1.329407$	$208527857/91875$	$0.87030$	$3.20640$	$[1, 0, 0, -10291, 195446]$	\(y^2+xy=x^3-10291x+195446\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(130, 964)]$
455175.bl1	455175bl2	455175.bl	455175bl	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{7} \cdot 5^{10} \cdot 7^{2} \cdot 17^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$3.346148615$	$1$		$14$	$2359296$	$1.710478$	$208527857/91875$	$0.87030$	$3.36982$	$[1, -1, 1, -47255, 1943372]$	\(y^2+xy+y=x^3-x^2-47255x+1943372\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(234, 1795), (199, 525)]$
455175.bw1	455175bw2	455175.bw	455175bw	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 3^{7} \cdot 5^{10} \cdot 7^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$2.968445788$	$1$		$4$	$40108032$	$3.127083$	$208527857/91875$	$0.87030$	$4.67461$	$[1, -1, 1, -13656605, 9493161522]$	\(y^2+xy+y=x^3-x^2-13656605x+9493161522\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(4004, 135810)]$
485520.bo1	485520bo2	485520.bo	485520bo	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{12} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$9.744777338$	$1$		$1$	$13369344$	$2.466206$	$208527857/91875$	$0.87030$	$4.04585$	$[0, -1, 0, -971136, 180277440]$	\(y^2=x^3-x^2-971136x+180277440\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[(135578/11, 29691050/11)]$
485520.hi1	485520hi2	485520.hi	485520hi	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{12} \cdot 3 \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1428$	$12$	$0$	$1$	$1$		$1$	$786432$	$1.049599$	$208527857/91875$	$0.87030$	$2.74750$	$[0, 1, 0, -3360, 35508]$	\(y^2=x^3+x^2-3360x+35508\)	2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?	$[]$