Elliptic curve search results

Results (22 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
20280.d1	20280f1	20280.d	20280f	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$112896$	$1.689457$	$621217777580032/74733890625$	$1.05549$	$4.49011$	$[0, -1, 0, -58231, 4833100]$	\(y^2=x^3-x^2-58231x+4833100\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
20280.q1	20280v1	20280.q	20280v	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1467648$	$2.971931$	$621217777580032/74733890625$	$1.05549$	$6.04190$	$[0, -1, 0, -9841095, 10578956400]$	\(y^2=x^3-x^2-9841095x+10578956400\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
40560.cb1	40560v1	40560.cb	40560v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.518907081$	$1$		$3$	$225792$	$1.689457$	$621217777580032/74733890625$	$1.05549$	$4.19678$	$[0, 1, 0, -58231, -4833100]$	\(y^2=x^3+x^2-58231x-4833100\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(4112, 263250)]$
40560.ck1	40560be1	40560.ck	40560be	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2935296$	$2.971931$	$621217777580032/74733890625$	$1.05549$	$5.64720$	$[0, 1, 0, -9841095, -10578956400]$	\(y^2=x^3+x^2-9841095x-10578956400\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
60840.t1	60840s1	60840.t	60840s	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$16.40637683$	$1$		$1$	$11741184$	$3.521236$	$621217777580032/74733890625$	$1.05549$	$6.03772$	$[0, 0, 0, -88569858, -285543252943]$	\(y^2=x^3-88569858x-285543252943\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(-357947279/254, 3068910822375/254)]$
60840.bh1	60840cc1	60840.bh	60840cc	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1.369378824$	$1$		$7$	$903168$	$2.238762$	$621217777580032/74733890625$	$1.05549$	$4.64069$	$[0, 0, 0, -524082, -129969619]$	\(y^2=x^3-524082x-129969619\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(-338, 2925)]$
101400.ce1	101400bq1	101400.ce	101400bq	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{12} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.349291893$	$1$		$5$	$35223552$	$3.776649$	$621217777580032/74733890625$	$1.05549$	$6.03605$	$[0, 1, 0, -246027383, 1321877495238]$	\(y^2=x^3+x^2-246027383x+1321877495238\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(4453, 560925)]$
101400.dk1	101400dn1	101400.dk	101400dn	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{12} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$2709504$	$2.494175$	$621217777580032/74733890625$	$1.05549$	$4.70093$	$[0, 1, 0, -1455783, 601225938]$	\(y^2=x^3+x^2-1455783x+601225938\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
121680.p1	121680bc1	121680.p	121680bc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$16.88375328$	$1$		$1$	$23482368$	$3.521236$	$621217777580032/74733890625$	$1.05549$	$5.68030$	$[0, 0, 0, -88569858, 285543252943]$	\(y^2=x^3-88569858x+285543252943\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(10471898931/857, 872453526649250/857)]$
121680.ff1	121680bz1	121680.ff	121680bz	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{4} \cdot 3^{20} \cdot 5^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1806336$	$2.238762$	$621217777580032/74733890625$	$1.05549$	$4.36597$	$[0, 0, 0, -524082, 129969619]$	\(y^2=x^3-524082x+129969619\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
162240.i1	162240dk1	162240.i	162240dk	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$10.61383703$	$1$		$1$	$23482368$	$3.318504$	$621217777580032/74733890625$	$1.05549$	$5.34130$	$[0, -1, 0, -39364381, -84592286819]$	\(y^2=x^3-x^2-39364381x-84592286819\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(30250501/59, 98394223500/59)]$
162240.dt1	162240da1	162240.dt	162240da	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$1806336$	$2.036030$	$621217777580032/74733890625$	$1.05549$	$4.05849$	$[0, -1, 0, -232925, -38431875]$	\(y^2=x^3-x^2-232925x-38431875\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
162240.fx1	162240gn1	162240.fx	162240gn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$4.331715728$	$1$		$5$	$23482368$	$3.318504$	$621217777580032/74733890625$	$1.05549$	$5.34130$	$[0, 1, 0, -39364381, 84592286819]$	\(y^2=x^3+x^2-39364381x+84592286819\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(-325, 312012)]$
162240.gr1	162240es1	162240.gr	162240es	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$0.575642368$	$1$		$25$	$1806336$	$2.036030$	$621217777580032/74733890625$	$1.05549$	$4.05849$	$[0, 1, 0, -232925, 38431875]$	\(y^2=x^3+x^2-232925x+38431875\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(550, 8775), (355, 780)]$
202800.bh1	202800ji1	202800.bh	202800ji	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{12} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$5419008$	$2.494175$	$621217777580032/74733890625$	$1.05549$	$4.43428$	$[0, -1, 0, -1455783, -601225938]$	\(y^2=x^3-x^2-1455783x-601225938\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
202800.ep1	202800kg1	202800.ep	202800kg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{14} \cdot 5^{12} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$49$	$7$	$1$	$70447104$	$3.776649$	$621217777580032/74733890625$	$1.05549$	$5.69367$	$[0, -1, 0, -246027383, -1321877495238]$	\(y^2=x^3-x^2-246027383x-1321877495238\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
304200.bw1	304200bw1	304200.bw	304200bw	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{20} \cdot 5^{12} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$9$	$3$	$1$	$281788416$	$4.325958$	$621217777580032/74733890625$	$1.05549$	$6.03291$	$[0, 0, 0, -2214246450, -35692906617875]$	\(y^2=x^3-2214246450x-35692906617875\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
304200.ea1	304200ea1	304200.ea	304200ea	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( 2^{4} \cdot 3^{20} \cdot 5^{12} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$11.47077662$	$1$		$1$	$21676032$	$3.043480$	$621217777580032/74733890625$	$1.05549$	$4.81397$	$[0, 0, 0, -13102050, -16246202375]$	\(y^2=x^3-13102050x-16246202375\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(1415336/5, 1680274791/5)]$
486720.ct1	486720ct1	486720.ct	486720ct	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{20} \cdot 5^{6} \cdot 13^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$6.968334815$	$1$		$3$	$14450688$	$2.585335$	$621217777580032/74733890625$	$1.05549$	$4.22137$	$[0, 0, 0, -2096328, -1039756952]$	\(y^2=x^3-2096328x-1039756952\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(10673, 1091961)]$
486720.fw1	486720fw1	486720.fw	486720fw	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{20} \cdot 5^{6} \cdot 13^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$1$		$1$	$14450688$	$2.585335$	$621217777580032/74733890625$	$1.05549$	$4.22137$	$[0, 0, 0, -2096328, 1039756952]$	\(y^2=x^3-2096328x+1039756952\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$
486720.kz1	486720kz1	486720.kz	486720kz	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{20} \cdot 5^{6} \cdot 13^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$8.521983163$	$1$		$1$	$187858944$	$3.867809$	$621217777580032/74733890625$	$1.05549$	$5.39656$	$[0, 0, 0, -354279432, 2284346023544]$	\(y^2=x^3-354279432x+2284346023544\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[(1857817/22, 10546423875/22)]$
486720.oj1	486720oj1	486720.oj	486720oj	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \)	\( 2^{10} \cdot 3^{20} \cdot 5^{6} \cdot 13^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$156$	$12$	$0$	$1$	$4$	$2$	$1$	$187858944$	$3.867809$	$621217777580032/74733890625$	$1.05549$	$5.39656$	$[0, 0, 0, -354279432, -2284346023544]$	\(y^2=x^3-354279432x-2284346023544\)	2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.?	$[ ]$

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