Elliptic curve search results

Results (17 matches)

 

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
4830.v2	4830v1	4830.v	4830v	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.235882726$	$1$		$11$	$3840$	$0.450239$	$2986606123201/1421952000$	$0.91031$	$3.38636$	$[1, 1, 1, -300, 717]$	\(y^2+xy+y=x^3+x^2-300x+717\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-3, 41)]$
14490.e2	14490j1	14490.e	14490j	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.998697087$	$1$		$7$	$30720$	$0.999545$	$2986606123201/1421952000$	$0.91031$	$3.68605$	$[1, -1, 0, -2700, -22064]$	\(y^2+xy=x^3-x^2-2700x-22064\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-40, 164)]$
24150.bi2	24150bh1	24150.bi	24150bh	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.254957$	$2986606123201/1421952000$	$0.91031$	$3.80317$	$[1, 0, 1, -7501, 104648]$	\(y^2+xy+y=x^3-7501x+104648\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
33810.cv2	33810cu1	33810.cv	33810cu	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.423193$	$2986606123201/1421952000$	$0.91031$	$3.87405$	$[1, 0, 0, -14701, -290095]$	\(y^2+xy=x^3-14701x-290095\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
38640.dc2	38640db1	38640.dc	38640db	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{22} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$92160$	$1.143385$	$2986606123201/1421952000$	$0.91031$	$3.50717$	$[0, 1, 0, -4800, -55500]$	\(y^2=x^3+x^2-4800x-55500\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
72450.eu2	72450ee1	72450.eu	72450ee	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.804264$	$2986606123201/1421952000$	$0.91031$	$4.01884$	$[1, -1, 1, -67505, -2825503]$	\(y^2+xy+y=x^3-x^2-67505x-2825503\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
101430.ck2	101430cl1	101430.ck	101430cl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.751376714$	$1$		$7$	$1474560$	$1.972500$	$2986606123201/1421952000$	$0.91031$	$4.07667$	$[1, -1, 0, -132309, 7832565]$	\(y^2+xy=x^3-x^2-132309x+7832565\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(51, 1077)]$
111090.by2	111090bv1	111090.by	111090bv	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$2027520$	$2.017986$	$2986606123201/1421952000$	$0.91031$	$4.09173$	$[1, 1, 1, -158711, -10313011]$	\(y^2+xy+y=x^3+x^2-158711x-10313011\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
115920.bh2	115920dl1	115920.bh	115920dl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{22} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$7.076729227$	$1$		$13$	$737280$	$1.692692$	$2986606123201/1421952000$	$0.91031$	$3.74204$	$[0, 0, 0, -43203, 1455298]$	\(y^2=x^3-43203x+1455298\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(33, 256), (-177, 1886)]$
154560.bh2	154560dc1	154560.bh	154560dc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{28} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$737280$	$1.489960$	$2986606123201/1421952000$	$0.91031$	$3.44833$	$[0, -1, 0, -19201, -424799]$	\(y^2=x^3-x^2-19201x-424799\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
154560.ey2	154560fu1	154560.ey	154560fu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{28} \cdot 3 \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$4$	$2$	$1$	$737280$	$1.489960$	$2986606123201/1421952000$	$0.91031$	$3.44833$	$[0, 1, 0, -19201, 424799]$	\(y^2=x^3+x^2-19201x+424799\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
169050.r2	169050ig1	169050.r	169050ig	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$2.283248139$	$1$		$3$	$4423680$	$2.227913$	$2986606123201/1421952000$	$0.91031$	$4.15829$	$[1, 1, 0, -367525, -36261875]$	\(y^2+xy=x^3+x^2-367525x-36261875\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-246, 6395)]$
193200.bd2	193200eu1	193200.bd	193200eu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{22} \cdot 3 \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$2211840$	$1.948105$	$2986606123201/1421952000$	$0.91031$	$3.83680$	$[0, -1, 0, -120008, -6697488]$	\(y^2=x^3-x^2-120008x-6697488\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
270480.bt2	270480bt1	270480.bt	270480bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{22} \cdot 3 \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$4423680$	$2.116341$	$2986606123201/1421952000$	$0.91031$	$3.89499$	$[0, -1, 0, -235216, 18566080]$	\(y^2=x^3-x^2-235216x+18566080\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
333270.cg2	333270cg1	333270.cg	333270cg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.620495388$	$1$		$7$	$16220160$	$2.567291$	$2986606123201/1421952000$	$0.91031$	$4.25659$	$[1, -1, 0, -1428399, 277022893]$	\(y^2+xy=x^3-x^2-1428399x+277022893\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-753, 30794)]$
463680.in2	463680in1	463680.in	463680in	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{28} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$5898240$	$2.039265$	$2986606123201/1421952000$	$0.91031$	$3.66319$	$[0, 0, 0, -172812, -11642384]$	\(y^2=x^3-172812x-11642384\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
463680.nm2	463680nm1	463680.nm	463680nm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{28} \cdot 3^{7} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.684076733$	$1$		$5$	$5898240$	$2.039265$	$2986606123201/1421952000$	$0.91031$	$3.66319$	$[0, 0, 0, -172812, 11642384]$	\(y^2=x^3-172812x+11642384\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-32, 4140)]$