Elliptic curve search results

Results (10 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
39710.m2	39710h2	39710.m	39710h	$2$	$2$	\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{2} \cdot 5^{4} \cdot 11^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$0$	$25600$	$0.476146$	$420189749/302500$	$0.86854$	$2.70928$	$[1, 1, 0, 297, -847]$	\(y^2+xy=x^3+x^2+297x-847\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[ ]$
39710.q2	39710v2	39710.q	39710v	$2$	$2$	\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{2} \cdot 5^{4} \cdot 11^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$7.584231617$	$1$		$2$	$486400$	$1.948364$	$420189749/302500$	$0.86854$	$4.37762$	$[1, 0, 0, 107029, 6666301]$	\(y^2+xy=x^3+107029x+6666301\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(13746, 1605227)]$
198550.bi2	198550da2	198550.bi	198550da	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( - 2^{2} \cdot 5^{10} \cdot 11^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$0$	$11673600$	$2.753082$	$420189749/302500$	$0.86854$	$4.59167$	$[1, 1, 0, 2675725, 833287625]$	\(y^2+xy=x^3+x^2+2675725x+833287625\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[ ]$
198550.bt2	198550e2	198550.bt	198550e	$2$	$2$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( - 2^{2} \cdot 5^{10} \cdot 11^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1.837070406$	$1$		$4$	$614400$	$1.280865$	$420189749/302500$	$0.86854$	$3.14344$	$[1, 0, 0, 7412, -120708]$	\(y^2+xy=x^3+7412x-120708\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(68, 802)]$
317680.c2	317680c2	317680.c	317680c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{14} \cdot 5^{4} \cdot 11^{2} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$2.032120646$	$1$		$17$	$614400$	$1.169292$	$420189749/302500$	$0.86854$	$2.92114$	$[0, 1, 0, 4744, 63700]$	\(y^2=x^3+x^2+4744x+63700\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(6, 304), (86, 1056)]$
317680.cc2	317680cc2	317680.cc	317680cc	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{14} \cdot 5^{4} \cdot 11^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$1$	$11673600$	$2.641514$	$420189749/302500$	$0.86854$	$4.31564$	$[0, -1, 0, 1712464, -426643264]$	\(y^2=x^3-x^2+1712464x-426643264\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[ ]$
357390.cb2	357390cb2	357390.cb	357390cb	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$4.291770166$	$1$		$4$	$11673600$	$2.497673$	$420189749/302500$	$0.86854$	$4.14089$	$[1, -1, 0, 963261, -179990127]$	\(y^2+xy=x^3-x^2+963261x-179990127\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(192, 3369)]$
357390.ea2	357390ea2	357390.ea	357390ea	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 11^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$0$	$614400$	$1.025452$	$420189749/302500$	$0.86854$	$2.75924$	$[1, -1, 1, 2668, 25539]$	\(y^2+xy+y=x^3-x^2+2668x+25539\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[ ]$
436810.c2	436810c2	436810.c	436810c	$2$	$2$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 5^{4} \cdot 11^{8} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$1$	$1$		$0$	$58368000$	$3.147312$	$420189749/302500$	$0.86854$	$4.67717$	$[1, 0, 1, 12950506, -8859896124]$	\(y^2+xy+y=x^3+12950506x-8859896124\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[ ]$
436810.cp2	436810cp2	436810.cp	436810cp	$2$	$2$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{2} \cdot 5^{4} \cdot 11^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$836$	$12$	$0$	$6.362141405$	$1$		$0$	$3072000$	$1.675093$	$420189749/302500$	$0.86854$	$3.31686$	$[1, 1, 1, 35874, 1306823]$	\(y^2+xy+y=x^3+x^2+35874x+1306823\)	2.3.0.a.1, 38.6.0.b.1, 44.6.0.d.1, 836.12.0.?	$[(2989/3, 186403/3)]$

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