Elliptic curve search results

Results (14 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
46200.be2	46200ch1	46200.be	46200ch	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{18} \cdot 5^{3} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$285696$	$1.733160$	$7831544736466064/29831377653$	$0.96300$	$4.37311$	$[0, -1, 0, -131348, 18305892]$	\(y^2=x^3-x^2-131348x+18305892\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[]$
46200.bu2	46200bq1	46200.bu	46200bq	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{18} \cdot 5^{9} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.591049696$	$1$		$5$	$1428480$	$2.537880$	$7831544736466064/29831377653$	$0.96300$	$5.27218$	$[0, 1, 0, -3283708, 2281669088]$	\(y^2=x^3+x^2-3283708x+2281669088\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(824, 11664)]$
92400.da2	92400bp1	92400.da	92400bp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{18} \cdot 5^{9} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$2856960$	$2.537880$	$7831544736466064/29831377653$	$0.96300$	$4.95257$	$[0, -1, 0, -3283708, -2281669088]$	\(y^2=x^3-x^2-3283708x-2281669088\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[]$
92400.gi2	92400cx1	92400.gi	92400cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{18} \cdot 5^{3} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$571392$	$1.733160$	$7831544736466064/29831377653$	$0.96300$	$4.10800$	$[0, 1, 0, -131348, -18305892]$	\(y^2=x^3+x^2-131348x-18305892\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[]$
138600.bm2	138600i1	138600.bm	138600i	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$12.57059967$	$1$		$1$	$11427840$	$3.087185$	$7831544736466064/29831377653$	$0.96300$	$5.33971$	$[0, 0, 0, -29553375, -61634618750]$	\(y^2=x^3-29553375x-61634618750\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(-4022779/35, 62588394/35)]$
138600.er2	138600cs1	138600.er	138600cs	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$14.93862231$	$1$		$1$	$2285568$	$2.282467$	$7831544736466064/29831377653$	$0.96300$	$4.52408$	$[0, 0, 0, -1182135, -493076950]$	\(y^2=x^3-1182135x-493076950\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(20442430/17, 92415999780/17)]$
277200.cq2	277200cq1	277200.cq	277200cq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{24} \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$5.820845133$	$1$		$3$	$4571136$	$2.282467$	$7831544736466064/29831377653$	$0.96300$	$4.27386$	$[0, 0, 0, -1182135, 493076950]$	\(y^2=x^3-1182135x+493076950\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(594, 688)]$
277200.hq2	277200hq1	277200.hq	277200hq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{8} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 11 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$4$	$2$	$1$	$22855680$	$3.087185$	$7831544736466064/29831377653$	$0.96300$	$5.04439$	$[0, 0, 0, -29553375, 61634618750]$	\(y^2=x^3-29553375x+61634618750\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[]$
323400.ca2	323400ca1	323400.ca	323400ca	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{18} \cdot 5^{9} \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$23.12167089$	$1$		$1$	$68567040$	$3.510834$	$7831544736466064/29831377653$	$0.96300$	$5.38381$	$[0, -1, 0, -160901708, -782934300588]$	\(y^2=x^3-x^2-160901708x-782934300588\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(-2734714271283/18926, 140052182663754375/18926)]$
323400.fk2	323400fk1	323400.fk	323400fk	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{8} \cdot 3^{18} \cdot 5^{3} \cdot 7^{7} \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.086915068$	$1$		$9$	$13713408$	$2.706116$	$7831544736466064/29831377653$	$0.96300$	$4.62265$	$[0, 1, 0, -6436068, -6266048832]$	\(y^2=x^3+x^2-6436068x-6266048832\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(-1482, 4410)]$
369600.ba2	369600ba1	369600.ba	369600ba	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{18} \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$9.105570780$	$1$		$1$	$4571136$	$2.079735$	$7831544736466064/29831377653$	$0.96300$	$3.98819$	$[0, -1, 0, -525393, -145921743]$	\(y^2=x^3-x^2-525393x-145921743\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(-155803/19, 3458240/19)]$
369600.fq2	369600fq1	369600.fq	369600fq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{18} \cdot 5^{9} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$9.545648104$	$1$		$1$	$22855680$	$2.884453$	$7831544736466064/29831377653$	$0.96300$	$4.74143$	$[0, -1, 0, -13134833, 18266487537]$	\(y^2=x^3-x^2-13134833x+18266487537\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(-36863/3, 1559152/3)]$
369600.tk2	369600tk1	369600.tk	369600tk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{18} \cdot 5^{9} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$3.902453358$	$1$		$3$	$22855680$	$2.884453$	$7831544736466064/29831377653$	$0.96300$	$4.74143$	$[0, 1, 0, -13134833, -18266487537]$	\(y^2=x^3+x^2-13134833x-18266487537\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(-2067, 7500)]$
369600.vj2	369600vj1	369600.vj	369600vj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{18} \cdot 5^{3} \cdot 7 \cdot 11 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$4620$	$12$	$0$	$0.760995751$	$1$		$7$	$4571136$	$2.079735$	$7831544736466064/29831377653$	$0.96300$	$3.98819$	$[0, 1, 0, -525393, 145921743]$	\(y^2=x^3+x^2-525393x+145921743\)	2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.?	$[(378, 1215)]$