Elliptic curve search results

Results (14 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
25740.a1	25740a2	25740.a	25740a	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$0.434545239$	$1$		$25$	$16896$	$0.548307$	$2561648112/511225$	$0.87355$	$3.00370$	$[0, 0, 0, -543, 3942]$	\(y^2=x^3-543x+3942\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(51, 330), (7, 22)]$
25740.e1	25740b2	25740.e	25740b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$50688$	$1.097614$	$2561648112/511225$	$0.87355$	$3.65275$	$[0, 0, 0, -4887, -106434]$	\(y^2=x^3-4887x-106434\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[ ]$
102960.cj1	102960cf2	102960.cj	102960cf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1.760543929$	$1$		$3$	$67584$	$0.548307$	$2561648112/511225$	$0.87355$	$2.64293$	$[0, 0, 0, -543, -3942]$	\(y^2=x^3-543x-3942\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(34, 130)]$
102960.en1	102960cj2	102960.en	102960cj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$2.986949568$	$1$		$3$	$202752$	$1.097614$	$2561648112/511225$	$0.87355$	$3.21403$	$[0, 0, 0, -4887, 106434]$	\(y^2=x^3-4887x+106434\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(10, 242)]$
128700.cg1	128700b2	128700.cg	128700b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 11^{2} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$3.945423217$	$1$		$3$	$405504$	$1.353025$	$2561648112/511225$	$0.87355$	$3.41358$	$[0, 0, 0, -13575, 492750]$	\(y^2=x^3-13575x+492750\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(-86, 1012)]$
128700.ch1	128700d2	128700.ch	128700d	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$1216512$	$1.902332$	$2561648112/511225$	$0.87355$	$3.97384$	$[0, 0, 0, -122175, -13304250]$	\(y^2=x^3-122175x-13304250\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[ ]$
283140.t1	283140t2	283140.t	283140t	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$2027520$	$1.747255$	$2561648112/511225$	$0.87355$	$3.57602$	$[0, 0, 0, -65703, -5246802]$	\(y^2=x^3-65703x-5246802\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[ ]$
283140.bw1	283140bw2	283140.bw	283140bw	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{8} \cdot 13^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1.783680065$	$1$		$7$	$6082560$	$2.296562$	$2561648112/511225$	$0.87355$	$4.10110$	$[0, 0, 0, -591327, 141663654]$	\(y^2=x^3-591327x+141663654\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(243, 3510)]$
334620.bd1	334620bd2	334620.bd	334620bd	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$8515584$	$2.380089$	$2561648112/511225$	$0.87355$	$4.12604$	$[0, 0, 0, -825903, -233835498]$	\(y^2=x^3-825903x-233835498\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[ ]$
334620.cl1	334620cl2	334620.cl	334620cl	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$2838528$	$1.830782$	$2561648112/511225$	$0.87355$	$3.60786$	$[0, 0, 0, -91767, 8660574]$	\(y^2=x^3-91767x+8660574\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[ ]$
411840.p1	411840p2	411840.p	411840p	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$2.005787387$	$1$		$21$	$1622016$	$1.444187$	$2561648112/511225$	$0.87355$	$3.19108$	$[0, 0, 0, -19548, -851472]$	\(y^2=x^3-19548x-851472\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(-86, 440), (-54, 216)]$
411840.gr1	411840gr2	411840.gr	411840gr	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$1622016$	$1.444187$	$2561648112/511225$	$0.87355$	$3.19108$	$[0, 0, 0, -19548, 851472]$	\(y^2=x^3-19548x+851472\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[ ]$
411840.ho1	411840ho2	411840.ho	411840ho	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$0.991594134$	$1$		$21$	$540672$	$0.894881$	$2561648112/511225$	$0.87355$	$2.68122$	$[0, 0, 0, -2172, 31536]$	\(y^2=x^3-2172x+31536\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[(10, 104), (42, 120)]$
411840.nh1	411840nh2	411840.nh	411840nh	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1716$	$12$	$0$	$1$	$1$		$1$	$540672$	$0.894881$	$2561648112/511225$	$0.87355$	$2.68122$	$[0, 0, 0, -2172, -31536]$	\(y^2=x^3-2172x-31536\)	2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?	$[ ]$

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