Elliptic curve search results

Results (11 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
26520.b1	26520o1	26520.b	26520o	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1.807081353$	$1$		$5$	$7168$	$0.263137$	$19545784144/89505$	$0.79764$	$2.87082$	$[0, -1, 0, -356, -2460]$	\(y^2=x^3-x^2-356x-2460\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(-11, 2)]$
53040.cc1	53040u1	53040.cc	53040u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1.698590987$	$1$		$5$	$14336$	$0.263137$	$19545784144/89505$	$0.79764$	$2.68791$	$[0, 1, 0, -356, 2460]$	\(y^2=x^3+x^2-356x+2460\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(6, 24)]$
79560.bd1	79560bd1	79560.bd	79560bd	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$8840$	$48$	$0$	$2.274645781$	$1$		$5$	$57344$	$0.812444$	$19545784144/89505$	$0.79764$	$3.17547$	$[0, 0, 0, -3207, 69626]$	\(y^2=x^3-3207x+69626\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(35, 16)]$
132600.cg1	132600br1	132600.cg	132600br	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$5.531429569$	$1$		$1$	$172032$	$1.067856$	$19545784144/89505$	$0.79764$	$3.29780$	$[0, 1, 0, -8908, -325312]$	\(y^2=x^3+x^2-8908x-325312\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(2032/3, 82000/3)]$
159120.ee1	159120dl1	159120.ee	159120dl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$8840$	$48$	$0$	$7.945925627$	$1$		$1$	$114688$	$0.812444$	$19545784144/89505$	$0.79764$	$2.99170$	$[0, 0, 0, -3207, -69626]$	\(y^2=x^3-3207x-69626\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(2530/3, 124444/3)]$
212160.dh1	212160cu1	212160.dh	212160cu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.791007210$	$1$		$3$	$114688$	$0.609711$	$19545784144/89505$	$0.79764$	$2.72318$	$[0, -1, 0, -1425, 21105]$	\(y^2=x^3-x^2-1425x+21105\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(-43, 32)]$
212160.gl1	212160ek1	212160.gl	212160ek	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.492611621$	$1$		$5$	$114688$	$0.609711$	$19545784144/89505$	$0.79764$	$2.72318$	$[0, 1, 0, -1425, -21105]$	\(y^2=x^3+x^2-1425x-21105\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(-22, 9)]$
265200.v1	265200v1	265200.v	265200v	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 13 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$5.817576223$	$1$		$11$	$344064$	$1.067856$	$19545784144/89505$	$0.79764$	$3.11476$	$[0, -1, 0, -8908, 325312]$	\(y^2=x^3-x^2-8908x+325312\)	2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 2210.6.0.?, 4420.24.0.?, $\ldots$	$[(77, 300), (61, 72)]$
344760.bd1	344760bd1	344760.bd	344760bd	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 13^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$1$	$1204224$	$1.545612$	$19545784144/89505$	$0.79764$	$3.50030$	$[0, -1, 0, -60220, -5645420]$	\(y^2=x^3-x^2-60220x-5645420\)	2.3.0.a.1, 4.6.0.b.1, 312.12.0.?, 2040.12.0.?, 2210.6.0.?, $\ldots$	$[]$
397800.ct1	397800ct1	397800.ct	397800ct	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$0.755471630$	$1$		$9$	$1376256$	$1.617163$	$19545784144/89505$	$0.79764$	$3.52804$	$[0, 0, 0, -80175, 8703250]$	\(y^2=x^3-80175x+8703250\)	2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.3, 1768.12.0.?, 2210.6.0.?, $\ldots$	$[(185, 450)]$
450840.cs1	450840cs1	450840.cs	450840cs	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$2.792624039$	$1$		$3$	$2064384$	$1.679745$	$19545784144/89505$	$0.79764$	$3.55181$	$[0, 1, 0, -102980, -12703680]$	\(y^2=x^3+x^2-102980x-12703680\)	2.3.0.a.1, 4.6.0.b.1, 408.12.0.?, 1560.12.0.?, 2210.6.0.?, $\ldots$	$[(1099, 34680)]$