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
17238.h1	17238h2	17238.h	17238h	$2$	$2$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{6} \cdot 13^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$0$	$718848$	$2.406898$	$275602131611533/53934336$	$0.98912$	$5.77501$	$[1, 0, 1, -2978629, 1978083824]$	\(y^2+xy+y=x^3-2978629x+1978083824\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[ ]$
17238.n1	17238r2	17238.n	17238r	$2$	$2$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{6} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$0.137284840$	$1$		$16$	$55296$	$1.124426$	$275602131611533/53934336$	$0.98912$	$4.19737$	$[1, 0, 0, -17625, 899001]$	\(y^2+xy=x^3-17625x+899001\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(66, 123)]$
51714.l1	51714m2	51714.l	51714m	$2$	$2$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{12} \cdot 13^{3} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$3.377050755$	$1$		$2$	$442368$	$1.673731$	$275602131611533/53934336$	$0.98912$	$4.37984$	$[1, -1, 0, -158625, -24273027]$	\(y^2+xy=x^3-x^2-158625x-24273027\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(6354, 502263)]$
51714.o1	51714bb2	51714.o	51714bb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{12} \cdot 13^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$0$	$5750784$	$2.956207$	$275602131611533/53934336$	$0.98912$	$5.79779$	$[1, -1, 1, -26807657, -53408263255]$	\(y^2+xy+y=x^3-x^2-26807657x-53408263255\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[ ]$
137904.a1	137904y2	137904.a	137904y	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{20} \cdot 3^{6} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$1327104$	$1.817574$	$275602131611533/53934336$	$0.98912$	$4.16269$	$[0, -1, 0, -282000, -57536064]$	\(y^2=x^3-x^2-282000x-57536064\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[ ]$
137904.bp1	137904ca2	137904.bp	137904ca	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{20} \cdot 3^{6} \cdot 13^{9} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$4$	$2$	$1$	$17252352$	$3.100048$	$275602131611533/53934336$	$0.98912$	$5.46312$	$[0, -1, 0, -47658056, -126597364752]$	\(y^2=x^3-x^2-47658056x-126597364752\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[ ]$
293046.a1	293046a2	293046.a	293046a	$2$	$2$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 13^{9} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$0$	$207028224$	$3.823505$	$275602131611533/53934336$	$0.98912$	$5.82565$	$[1, 1, 0, -860823642, 9719186652180]$	\(y^2+xy=x^3+x^2-860823642x+9719186652180\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[ ]$
293046.bz1	293046bz2	293046.bz	293046bz	$2$	$2$	\( 2 \cdot 3 \cdot 13^{2} \cdot 17^{2} \)	\( 2^{8} \cdot 3^{6} \cdot 13^{3} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$2.103807298$	$1$		$4$	$15925248$	$2.541031$	$275602131611533/53934336$	$0.98912$	$4.60309$	$[1, 1, 1, -5093631, 4421885541]$	\(y^2+xy+y=x^3+x^2-5093631x+4421885541\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(1395, 5082)]$
413712.d1	413712d2	413712.d	413712d	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{20} \cdot 3^{12} \cdot 13^{9} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$9.519749409$	$1$		$13$	$138018816$	$3.649353$	$275602131611533/53934336$	$0.98912$	$5.50873$	$[0, 0, 0, -428922507, 3418557770810]$	\(y^2=x^3-428922507x+3418557770810\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(11749, 31104), (5239, 1146834)]$
413712.fc1	413712fc2	413712.fc	413712fc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{20} \cdot 3^{12} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$1$	$1$		$1$	$10616832$	$2.366879$	$275602131611533/53934336$	$0.98912$	$4.31877$	$[0, 0, 0, -2538003, 1556011730]$	\(y^2=x^3-2538003x+1556011730\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[ ]$
430950.be1	430950be2	430950.be	430950be	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 13^{3} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$2.633417065$	$1$		$14$	$4423680$	$1.929144$	$275602131611533/53934336$	$0.98912$	$3.90030$	$[1, 1, 0, -440625, 112375125]$	\(y^2+xy=x^3+x^2-440625x+112375125\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(210, 5295), (-654, 11343)]$
430950.fr1	430950fr2	430950.fr	430950fr	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 13^{9} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2652$	$12$	$0$	$3.073985875$	$1$		$6$	$57507840$	$3.211620$	$275602131611533/53934336$	$0.98912$	$5.08651$	$[1, 1, 1, -74465713, 247260478031]$	\(y^2+xy+y=x^3+x^2-74465713x+247260478031\)	2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.?	$[(5035, -1668)]$

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