Elliptic curve search results

Results (12 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
12675.b2	12675u2	12675.b	12675u	$2$	$5$	\( 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{9} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$8.975271955$	$1$		$0$	$2433600$	$3.193417$	$24288219136/14348907$	$1.16189$	$6.50791$	$[0, -1, 1, 16569042, -3754980682]$	\(y^2+y=x^3-x^2+16569042x-3754980682\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[(362957/2, 218884909/2)]$
12675.e2	12675bn2	12675.e	12675bn	$2$	$5$	\( 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{3} \cdot 13^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$0.138152713$	$1$		$28$	$37440$	$1.106222$	$24288219136/14348907$	$1.16189$	$3.85677$	$[0, 1, 1, 3922, -12346]$	\(y^2+y=x^3+x^2+3922x-12346\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[(13, 202), (823, 23692)]$
12675.bi2	12675t2	12675.bi	12675t	$2$	$5$	\( 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{9} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$9.905455920$	$1$		$0$	$187200$	$1.910942$	$24288219136/14348907$	$1.16189$	$4.87892$	$[0, -1, 1, 98042, -1739307]$	\(y^2+y=x^3-x^2+98042x-1739307\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[(191157/14, 87661503/14)]$
12675.bn2	12675bm2	12675.bn	12675bm	$2$	$5$	\( 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{15} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$1$	$1$		$0$	$486720$	$2.388699$	$24288219136/14348907$	$1.16189$	$5.48576$	$[0, 1, 1, 662762, -29774741]$	\(y^2+y=x^3+x^2+662762x-29774741\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[]$
38025.i2	38025dc2	38025.i	38025dc	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$1$	$1$		$0$	$3893760$	$2.938004$	$24288219136/14348907$	$1.16189$	$5.53933$	$[0, 0, 1, 5964855, 809882856]$	\(y^2+y=x^3+5964855x+809882856\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[]$
38025.k2	38025db2	38025.k	38025db	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{9} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$1$	$1$		$0$	$1497600$	$2.460247$	$24288219136/14348907$	$1.16189$	$4.99571$	$[0, 0, 1, 882375, 46078906]$	\(y^2+y=x^3+882375x+46078906\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[]$
38025.cv2	38025cz2	38025.cv	38025cz	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{9} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$1$	$4$	$2$	$0$	$19468800$	$3.742722$	$24288219136/14348907$	$1.16189$	$6.45500$	$[0, 0, 1, 149121375, 101235357031]$	\(y^2+y=x^3+149121375x+101235357031\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[]$
38025.cw2	38025cy2	38025.cw	38025cy	$2$	$5$	\( 3^{2} \cdot 5^{2} \cdot 13^{2} \)	\( - 3^{21} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$390$	$288$	$9$	$1$	$1$		$0$	$299520$	$1.655529$	$24288219136/14348907$	$1.16189$	$4.08004$	$[0, 0, 1, 35295, 368631]$	\(y^2+y=x^3+35295x+368631\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[]$
202800.s2	202800dk2	202800.s	202800dk	$2$	$5$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{15} \cdot 5^{3} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$780$	$288$	$9$	$1$	$1$		$0$	$19468800$	$3.081844$	$24288219136/14348907$	$1.16189$	$4.92177$	$[0, -1, 0, 10604187, 1916187597]$	\(y^2=x^3-x^2+10604187x+1916187597\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[]$
202800.fc2	202800eh2	202800.fc	202800eh	$2$	$5$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{15} \cdot 5^{3} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$780$	$288$	$9$	$1$	$4$	$2$	$0$	$1497600$	$1.799370$	$24288219136/14348907$	$1.16189$	$3.66238$	$[0, -1, 0, 62747, 852877]$	\(y^2=x^3-x^2+62747x+852877\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[]$
202800.gl2	202800h2	202800.gl	202800h	$2$	$5$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{15} \cdot 5^{9} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$780$	$288$	$9$	$1.479528463$	$1$		$2$	$7488000$	$2.604088$	$24288219136/14348907$	$1.16189$	$4.45261$	$[0, 1, 0, 1568667, 109746963]$	\(y^2=x^3+x^2+1568667x+109746963\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[(1758, 91125)]$
202800.jm2	202800bb2	202800.jm	202800bb	$2$	$5$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \)	\( - 2^{12} \cdot 3^{15} \cdot 5^{9} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3, 5$	3.3.0.1, 5.6.0.1	3Nn, 5B	$780$	$288$	$9$	$5.173128267$	$1$		$2$	$97344000$	$3.886562$	$24288219136/14348907$	$1.16189$	$5.71200$	$[0, 1, 0, 265104667, 240053658963]$	\(y^2=x^3+x^2+265104667x+240053658963\)	3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$	$[(10534, 2049801)]$