Elliptic curve search results

Results (12 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
10010.l1	10010i1	10010.l	10010i	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1$	$1$		$1$	$1216$	$-0.319559$	$594823321/100100$	$0.85583$	$2.19336$	$[1, 1, 0, -17, -31]$	\(y^2+xy=x^3+x^2-17x-31\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[ ]$
50050.bn1	50050bw1	50050.bn	50050bw	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{8} \cdot 7 \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1$	$1$		$1$	$29184$	$0.485160$	$594823321/100100$	$0.85583$	$2.75954$	$[1, 0, 0, -438, -3008]$	\(y^2+xy=x^3-438x-3008\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[ ]$
70070.e1	70070k1	70070.e	70070k	$2$	$2$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{2} \cdot 7^{7} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$0.557515156$	$1$		$9$	$58368$	$0.653397$	$594823321/100100$	$0.85583$	$2.85727$	$[1, 0, 1, -859, 8082]$	\(y^2+xy+y=x^3-859x+8082\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[(25, 36)]$
80080.i1	80080bw1	80080.i	80080bw	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1.475860177$	$1$		$5$	$29184$	$0.373589$	$594823321/100100$	$0.85583$	$2.52609$	$[0, 1, 0, -280, 1428]$	\(y^2=x^3+x^2-280x+1428\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[(-4, 50)]$
90090.cj1	90090cs1	90090.cj	90090cs	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1$	$1$		$1$	$29184$	$0.229748$	$594823321/100100$	$0.85583$	$2.34871$	$[1, -1, 1, -158, 681]$	\(y^2+xy+y=x^3-x^2-158x+681\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[ ]$
110110.cu1	110110ct1	110110.cu	110110ct	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \)	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11^{7} \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$4.711239691$	$1$		$1$	$145920$	$0.879389$	$594823321/100100$	$0.85583$	$2.97962$	$[1, 1, 1, -2120, 30757]$	\(y^2+xy+y=x^3+x^2-2120x+30757\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[(-3367/8, 7767/8)]$
130130.cn1	130130cn1	130130.cn	130130cn	$2$	$2$	\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \)	\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$5.791686588$	$1$		$1$	$204288$	$0.962916$	$594823321/100100$	$0.85583$	$3.02247$	$[1, 1, 1, -2961, -53461]$	\(y^2+xy+y=x^3+x^2-2961x-53461\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[(25291/3, 3984250/3)]$
320320.c1	320320c1	320320.c	320320c	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1.822497257$	$1$		$5$	$233472$	$0.720162$	$594823321/100100$	$0.85583$	$2.57792$	$[0, 1, 0, -1121, -12545]$	\(y^2=x^3+x^2-1121x-12545\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[(-23, 40)]$
320320.ez1	320320ez1	320320.ez	320320ez	$2$	$2$	\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{20} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1$	$1$		$1$	$233472$	$0.720162$	$594823321/100100$	$0.85583$	$2.57792$	$[0, -1, 0, -1121, 12545]$	\(y^2=x^3-x^2-1121x+12545\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[ ]$
350350.gx1	350350gx1	350350.gx	350350gx	$2$	$2$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 5^{8} \cdot 7^{7} \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$9.073496129$	$1$		$1$	$1400832$	$1.458115$	$594823321/100100$	$0.85583$	$3.25346$	$[1, 1, 1, -21463, 1010281]$	\(y^2+xy+y=x^3+x^2-21463x+1010281\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[(86905/24, 14313353/24)]$
400400.eq1	400400eq1	400400.eq	400400eq	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 5^{8} \cdot 7 \cdot 11 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1$	$1$		$1$	$700416$	$1.178308$	$594823321/100100$	$0.85583$	$2.95950$	$[0, -1, 0, -7008, 192512]$	\(y^2=x^3-x^2-7008x+192512\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[ ]$
450450.dh1	450450dh1	450450.dh	450450dh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \)	\( 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 7 \cdot 11 \cdot 13 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$40040$	$12$	$0$	$1.584763963$	$1$		$7$	$700416$	$1.034466$	$594823321/100100$	$0.85583$	$2.80013$	$[1, -1, 0, -3942, 81216]$	\(y^2+xy=x^3-x^2-3942x+81216\)	2.3.0.a.1, 40.6.0.d.1, 2002.6.0.?, 40040.12.0.?	$[(49, 38)]$

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