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
25688.b2	25688k1	25688.b	25688k	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$73632$	$1.429644$	$5324/19$	$0.70224$	$3.96288$	$[0, 1, 0, 8056, -629888]$	\(y^2=x^3+x^2+8056x-629888\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
25688.d2	25688d1	25688.d	25688d	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$5664$	$0.147169$	$5324/19$	$0.70224$	$2.44722$	$[0, 1, 0, 48, -272]$	\(y^2=x^3+x^2+48x-272\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
51376.x2	51376h1	51376.x	51376h	$2$	$2$	\( 2^{4} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$147264$	$1.429644$	$5324/19$	$0.70224$	$3.70965$	$[0, -1, 0, 8056, 629888]$	\(y^2=x^3-x^2+8056x+629888\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
51376.bc2	51376k1	51376.bc	51376k	$2$	$2$	\( 2^{4} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 13^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$3.791396622$	$1$		$1$	$11328$	$0.147169$	$5324/19$	$0.70224$	$2.29084$	$[0, -1, 0, 48, 272]$	\(y^2=x^3-x^2+48x+272\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[(64/3, 820/3)]$
205504.i2	205504d1	205504.i	205504d	$2$	$2$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{16} \cdot 13^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1.447493965$	$1$		$5$	$90624$	$0.493742$	$5324/19$	$0.70224$	$2.37120$	$[0, 1, 0, 191, 2367]$	\(y^2=x^3+x^2+191x+2367\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[(7, 64)]$
205504.q2	205504i1	205504.q	205504i	$2$	$2$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{16} \cdot 13^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$1178112$	$1.776217$	$5324/19$	$0.70224$	$3.62923$	$[0, 1, 0, 32223, 5071327]$	\(y^2=x^3+x^2+32223x+5071327\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
205504.cg2	205504cm1	205504.cg	205504cm	$2$	$2$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{16} \cdot 13^{3} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$4.593617407$	$1$		$1$	$90624$	$0.493742$	$5324/19$	$0.70224$	$2.37120$	$[0, -1, 0, 191, -2367]$	\(y^2=x^3-x^2+191x-2367\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[(481/3, 10720/3)]$
205504.co2	205504cs1	205504.co	205504cs	$2$	$2$	\( 2^{6} \cdot 13^{2} \cdot 19 \)	\( - 2^{16} \cdot 13^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$9$	$3$	$1$	$1178112$	$1.776217$	$5324/19$	$0.70224$	$3.62923$	$[0, -1, 0, 32223, -5071327]$	\(y^2=x^3-x^2+32223x-5071327\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
231192.j2	231192j1	231192.j	231192j	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 13^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$135936$	$0.696475$	$5324/19$	$0.70224$	$2.54556$	$[0, 0, 0, 429, 7774]$	\(y^2=x^3+429x+7774\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
231192.bo2	231192bo1	231192.bo	231192bo	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 13^{9} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$9$	$3$	$1$	$1767168$	$1.978949$	$5324/19$	$0.70224$	$3.79159$	$[0, 0, 0, 72501, 17079478]$	\(y^2=x^3+72501x+17079478\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
462384.bq2	462384bq1	462384.bq	462384bq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 13^{3} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$271872$	$0.696475$	$5324/19$	$0.70224$	$2.41029$	$[0, 0, 0, 429, -7774]$	\(y^2=x^3+429x-7774\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$
462384.ej2	462384ej1	462384.ej	462384ej	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{10} \cdot 3^{6} \cdot 13^{9} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$14.72669086$	$1$		$1$	$3534336$	$1.978949$	$5324/19$	$0.70224$	$3.59011$	$[0, 0, 0, 72501, -17079478]$	\(y^2=x^3+72501x-17079478\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[(5723909/85, 14239184452/85)]$
488072.ba2	488072ba1	488072.ba	488072ba	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 13^{9} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$29.35695370$	$1$		$1$	$26507520$	$2.901863$	$5324/19$	$0.70224$	$4.42082$	$[0, -1, 0, 2908096, 4337850620]$	\(y^2=x^3-x^2+2908096x+4337850620\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[(127456146019498/472993, 8318214195248474757072/472993)]$
488072.be2	488072be1	488072.be	488072be	$2$	$2$	\( 2^{3} \cdot 13^{2} \cdot 19^{2} \)	\( - 2^{10} \cdot 13^{3} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1976$	$12$	$0$	$1$	$1$		$1$	$2039040$	$1.619389$	$5324/19$	$0.70224$	$3.24588$	$[0, -1, 0, 17208, 1969148]$	\(y^2=x^3-x^2+17208x+1969148\)	2.3.0.a.1, 104.6.0.?, 152.6.0.?, 494.6.0.?, 1976.12.0.?	$[ ]$

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