Elliptic curve search results

Results (26 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
3192.k1	3192o1	3192.k	3192o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.540197936$	$1$		$7$	$768$	$-0.108284$	$304900096/96957$	$0.85702$	$2.76487$	$[0, 1, 0, -35, -66]$	\(y^2=x^3+x^2-35x-66\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(7, 9)]$
6384.b1	6384f1	6384.b	6384f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1.936884623$	$1$		$3$	$1536$	$-0.108284$	$304900096/96957$	$0.85702$	$2.54613$	$[0, -1, 0, -35, 66]$	\(y^2=x^3-x^2-35x+66\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(6, 6)]$
9576.y1	9576h1	9576.y	9576h	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$6144$	$0.441022$	$304900096/96957$	$0.85702$	$3.15258$	$[0, 0, 0, -318, 1465]$	\(y^2=x^3-318x+1465\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
19152.cb1	19152bb1	19152.cb	19152bb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$12288$	$0.441022$	$304900096/96957$	$0.85702$	$2.93096$	$[0, 0, 0, -318, -1465]$	\(y^2=x^3-318x-1465\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
22344.p1	22344bb1	22344.p	22344bb	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$36864$	$0.864671$	$304900096/96957$	$0.85702$	$3.39350$	$[0, -1, 0, -1731, 19188]$	\(y^2=x^3-x^2-1731x+19188\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
25536.bs1	25536j1	25536.bs	25536j	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.238290$	$304900096/96957$	$0.85702$	$2.60814$	$[0, -1, 0, -141, -387]$	\(y^2=x^3-x^2-141x-387\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
25536.dq1	25536di1	25536.dq	25536di	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$12288$	$0.238290$	$304900096/96957$	$0.85702$	$2.60814$	$[0, 1, 0, -141, 387]$	\(y^2=x^3+x^2-141x+387\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
44688.ds1	44688bf1	44688.ds	44688bf	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$4.204038568$	$1$		$1$	$73728$	$0.864671$	$304900096/96957$	$0.85702$	$3.17382$	$[0, 1, 0, -1731, -19188]$	\(y^2=x^3+x^2-1731x-19188\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(-123/2, 615/2)]$
60648.b1	60648h1	60648.b	60648h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$276480$	$1.363935$	$304900096/96957$	$0.85702$	$3.62983$	$[0, -1, 0, -12755, 376416]$	\(y^2=x^3-x^2-12755x+376416\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
67032.b1	67032bh1	67032.b	67032bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{7} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.199058586$	$1$		$15$	$294912$	$1.413977$	$304900096/96957$	$0.85702$	$3.65117$	$[0, 0, 0, -15582, -502495]$	\(y^2=x^3-15582x-502495\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(-56, 441), (140, 245)]$
76608.g1	76608by1	76608.g	76608by	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{12} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.265227520$	$1$		$3$	$98304$	$0.787596$	$304900096/96957$	$0.85702$	$2.93947$	$[0, 0, 0, -1272, 11720]$	\(y^2=x^3-1272x+11720\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(-38, 72)]$
76608.j1	76608fe1	76608.j	76608fe	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \)	\( 2^{10} \cdot 3^{12} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$98304$	$0.787596$	$304900096/96957$	$0.85702$	$2.93947$	$[0, 0, 0, -1272, -11720]$	\(y^2=x^3-1272x-11720\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
79800.y1	79800c1	79800.y	79800c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$61440$	$0.696435$	$304900096/96957$	$0.85702$	$2.83192$	$[0, -1, 0, -883, -6488]$	\(y^2=x^3-x^2-883x-6488\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
121296.bu1	121296bp1	121296.bu	121296bp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 19^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$3.955839017$	$1$		$7$	$552960$	$1.363935$	$304900096/96957$	$0.85702$	$3.41489$	$[0, 1, 0, -12755, -376416]$	\(y^2=x^3+x^2-12755x-376416\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(196, 2166), (6385/4, 488433/4)]$
134064.h1	134064di1	134064.h	134064di	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$3.624883042$	$1$		$3$	$589824$	$1.413977$	$304900096/96957$	$0.85702$	$3.43681$	$[0, 0, 0, -15582, 502495]$	\(y^2=x^3-15582x+502495\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(231, 3038)]$
159600.dr1	159600fu1	159600.dr	159600fu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.477633890$	$1$		$3$	$122880$	$0.696435$	$304900096/96957$	$0.85702$	$2.66808$	$[0, 1, 0, -883, 6488]$	\(y^2=x^3+x^2-883x+6488\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(44, 234)]$
178752.e1	178752cy1	178752.e	178752cy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{7} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$589824$	$1.211245$	$304900096/96957$	$0.85702$	$3.15389$	$[0, -1, 0, -6925, -146579]$	\(y^2=x^3-x^2-6925x-146579\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
178752.fj1	178752fr1	178752.fj	178752fr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{6} \cdot 7^{7} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.753290897$	$1$		$7$	$589824$	$1.211245$	$304900096/96957$	$0.85702$	$3.15389$	$[0, 1, 0, -6925, 146579]$	\(y^2=x^3+x^2-6925x+146579\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(86, 441)]$
181944.cl1	181944w1	181944.cl	181944w	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$2211840$	$1.913242$	$304900096/96957$	$0.85702$	$3.84482$	$[0, 0, 0, -114798, -10048435]$	\(y^2=x^3-114798x-10048435\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
239400.cp1	239400cp1	239400.cp	239400cp	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7 \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$5.410031542$	$1$		$11$	$491520$	$1.245741$	$304900096/96957$	$0.85702$	$3.11293$	$[0, 0, 0, -7950, 183125]$	\(y^2=x^3-7950x+183125\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(-50, 675), (349, 6318)]$
363888.fk1	363888fk1	363888.fk	363888fk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 7 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$4$	$2$	$1$	$4423680$	$1.913242$	$304900096/96957$	$0.85702$	$3.63669$	$[0, 0, 0, -114798, 10048435]$	\(y^2=x^3-114798x+10048435\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
386232.bg1	386232bg1	386232.bg	386232bg	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 19 \)	\( 2^{4} \cdot 3^{6} \cdot 7 \cdot 11^{6} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$0.687162089$	$1$		$7$	$983040$	$1.090664$	$304900096/96957$	$0.85702$	$2.85253$	$[0, 1, 0, -4275, 70794]$	\(y^2=x^3+x^2-4275x+70794\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(-15, 363)]$
424536.ej1	424536ej1	424536.ej	424536ej	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( 2^{4} \cdot 3^{6} \cdot 7^{7} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$1$		$1$	$13271040$	$2.336891$	$304900096/96957$	$0.85702$	$3.98574$	$[0, 1, 0, -625011, -127860678]$	\(y^2=x^3+x^2-625011x-127860678\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
478800.gp1	478800gp1	478800.gp	478800gp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 7 \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$8.307045029$	$1$		$1$	$983040$	$1.245741$	$304900096/96957$	$0.85702$	$2.94795$	$[0, 0, 0, -7950, -183125]$	\(y^2=x^3-7950x-183125\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(3619/3, 211978/3)]$
485184.es1	485184es1	485184.es	485184es	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7 \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$1$	$9$	$3$	$1$	$4423680$	$1.710508$	$304900096/96957$	$0.85702$	$3.37096$	$[0, -1, 0, -51021, -2960307]$	\(y^2=x^3-x^2-51021x-2960307\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[]$
485184.jf1	485184jf1	485184.jf	485184jf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 7 \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1596$	$12$	$0$	$2.957501184$	$1$		$1$	$4423680$	$1.710508$	$304900096/96957$	$0.85702$	$3.37096$	$[0, 1, 0, -51021, 2960307]$	\(y^2=x^3+x^2-51021x+2960307\)	2.3.0.a.1, 12.6.0.c.1, 266.6.0.?, 1596.12.0.?	$[(1677/2, 59565/2)]$

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