Elliptic curve search results

Results (11 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
13566.t1	13566s1	13566.t	13566s	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{8} \cdot 17^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$456$	$12$	$0$	$0.143179076$	$1$		$15$	$125440$	$1.987919$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.10539$	$[1, 0, 0, -224573, -38926479]$	\(y^2+xy=x^3-224573x-38926479\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(-278, 1567)]$
40698.o1	40698o1	40698.o	40698o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{10} \cdot 3^{13} \cdot 7^{8} \cdot 17^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$0.737244640$	$1$		$9$	$1003520$	$2.537224$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.19799$	$[1, -1, 0, -2021157, 1051014933]$	\(y^2+xy=x^3-x^2-2021157x+1051014933\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(1338, 26547)]$
94962.bi1	94962bm1	94962.bi	94962bm	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \cdot 19 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{14} \cdot 17^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$6021120$	$2.960873$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.25728$	$[1, 1, 1, -11004078, 13340778219]$	\(y^2+xy+y=x^3+x^2-11004078x+13340778219\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[ ]$
108528.h1	108528m1	108528.h	108528m	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{22} \cdot 3^{7} \cdot 7^{8} \cdot 17^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$3010560$	$2.681065$	$1252553990449987212625/70889922816427008$	$0.97263$	$4.90715$	$[0, -1, 0, -3593168, 2491294656]$	\(y^2=x^3-x^2-3593168x+2491294656\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[ ]$
230622.bh1	230622bh1	230622.bh	230622bh	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \cdot 19 \)	\( 2^{10} \cdot 3^{7} \cdot 7^{8} \cdot 17^{8} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$19.98694075$	$1$		$1$	$36126720$	$3.404526$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.31065$	$[1, 1, 1, -64901603, -191180889727]$	\(y^2+xy+y=x^3+x^2-64901603x-191180889727\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(-764405839/433, 6282331248238/433)]$
257754.l1	257754l1	257754.l	257754l	$2$	$2$	\( 2 \cdot 3 \cdot 7 \cdot 17 \cdot 19^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 7^{8} \cdot 17^{2} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$3.798503731$	$1$		$3$	$45158400$	$3.460136$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.31680$	$[1, 1, 0, -81070860, 266834577744]$	\(y^2+xy=x^3+x^2-81070860x+266834577744\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(7303, 249997)]$
284886.bh1	284886bh1	284886.bh	284886bh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17 \cdot 19 \)	\( 2^{10} \cdot 3^{13} \cdot 7^{14} \cdot 17^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$14.37413583$	$1$		$1$	$48168960$	$3.510181$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.32225$	$[1, -1, 0, -99036702, -360300048620]$	\(y^2+xy=x^3-x^2-99036702x-360300048620\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(42243135/38, 255267569705/38)]$
325584.by1	325584by1	325584.by	325584by	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{22} \cdot 3^{13} \cdot 7^{8} \cdot 17^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$4$	$2$	$1$	$24084480$	$3.230373$	$1252553990449987212625/70889922816427008$	$0.97263$	$5.00174$	$[0, 0, 0, -32338515, -67232617198]$	\(y^2=x^3-32338515x-67232617198\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[ ]$
339150.h1	339150h1	339150.h	339150h	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 7^{8} \cdot 17^{2} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$10.64573296$	$1$		$1$	$18063360$	$2.792637$	$1252553990449987212625/70889922816427008$	$0.97263$	$4.57321$	$[1, 1, 0, -5614325, -4865809875]$	\(y^2+xy=x^3+x^2-5614325x-4865809875\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(7770691/23, 21272601765/23)]$
434112.bi1	434112bi1	434112.bi	434112bi	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{28} \cdot 3^{7} \cdot 7^{8} \cdot 17^{2} \cdot 19 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$11.69857958$	$1$		$7$	$24084480$	$3.027641$	$1252553990449987212625/70889922816427008$	$0.97263$	$4.70348$	$[0, -1, 0, -14372673, -19915984575]$	\(y^2=x^3-x^2-14372673x-19915984575\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[(-2461, 23324), (41992/3, 3259529/3)]$
434112.di1	434112di1	434112.di	434112di	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{28} \cdot 3^{7} \cdot 7^{8} \cdot 17^{2} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$456$	$12$	$0$	$1$	$1$		$1$	$24084480$	$3.027641$	$1252553990449987212625/70889922816427008$	$0.97263$	$4.70348$	$[0, 1, 0, -14372673, 19915984575]$	\(y^2=x^3+x^2-14372673x+19915984575\)	2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.?	$[ ]$

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