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
11913.c1	11913e1	11913.c	11913e	$1$	$1$	\( 3 \cdot 11 \cdot 19^{2} \)	\( 3^{2} \cdot 11^{3} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$0.139799000$	$1$		$8$	$2160$	$-0.014927$	$51026761/11979$	$0.85812$	$2.51846$	$[1, 1, 1, -55, 98]$	\(y^2+xy+y=x^3+x^2-55x+98\)	44.2.0.a.1	$[(-4, 18)]$
11913.h1	11913g1	11913.h	11913g	$1$	$1$	\( 3 \cdot 11 \cdot 19^{2} \)	\( 3^{2} \cdot 11^{3} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$2.704509450$	$1$		$2$	$41040$	$1.457293$	$51026761/11979$	$0.85812$	$4.40082$	$[1, 0, 1, -19863, -832301]$	\(y^2+xy+y=x^3-19863x-832301\)	44.2.0.a.1	$[(-97, 477)]$
35739.c1	35739k1	35739.c	35739k	$1$	$1$	\( 3^{2} \cdot 11 \cdot 19^{2} \)	\( 3^{8} \cdot 11^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1$	$1$		$0$	$328320$	$2.006599$	$51026761/11979$	$0.85812$	$4.56840$	$[1, -1, 1, -178763, 22472120]$	\(y^2+xy+y=x^3-x^2-178763x+22472120\)	44.2.0.a.1	$[]$
35739.p1	35739p1	35739.p	35739p	$1$	$1$	\( 3^{2} \cdot 11 \cdot 19^{2} \)	\( 3^{8} \cdot 11^{3} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1.840793544$	$1$		$2$	$17280$	$0.534379$	$51026761/11979$	$0.85812$	$2.88329$	$[1, -1, 0, -495, -3146]$	\(y^2+xy=x^3-x^2-495x-3146\)	44.2.0.a.1	$[(-10, 32)]$
131043.h1	131043f1	131043.h	131043f	$1$	$1$	\( 3 \cdot 11^{2} \cdot 19^{2} \)	\( 3^{2} \cdot 11^{9} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1.510312680$	$1$		$0$	$4924800$	$2.656239$	$51026761/11979$	$0.85812$	$4.72625$	$[1, 0, 0, -2403365, 1105388934]$	\(y^2+xy=x^3-2403365x+1105388934\)	44.2.0.a.1	$[(22501/4, 1396471/4)]$
131043.x1	131043ba1	131043.x	131043ba	$1$	$1$	\( 3 \cdot 11^{2} \cdot 19^{2} \)	\( 3^{2} \cdot 11^{9} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$2.201189919$	$1$		$0$	$259200$	$1.184021$	$51026761/11979$	$0.85812$	$3.22695$	$[1, 1, 0, -6657, -163962]$	\(y^2+xy=x^3+x^2-6657x-163962\)	44.2.0.a.1	$[(-254/3, 1712/3)]$
190608.bf1	190608cb1	190608.bf	190608cb	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 19^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 11^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1$	$1$		$0$	$2626560$	$2.150440$	$51026761/11979$	$0.85812$	$4.08137$	$[0, -1, 0, -317800, 53267248]$	\(y^2=x^3-x^2-317800x+53267248\)	44.2.0.a.1	$[]$
190608.cw1	190608x1	190608.cw	190608x	$1$	$1$	\( 2^{4} \cdot 3 \cdot 11 \cdot 19^{2} \)	\( 2^{12} \cdot 3^{2} \cdot 11^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1$	$1$		$0$	$138240$	$0.678220$	$51026761/11979$	$0.85812$	$2.62828$	$[0, 1, 0, -880, -8044]$	\(y^2=x^3+x^2-880x-8044\)	44.2.0.a.1	$[]$
297825.o1	297825o1	297825.o	297825o	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( 3^{2} \cdot 5^{6} \cdot 11^{3} \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1$	$1$		$0$	$5745600$	$2.262012$	$51026761/11979$	$0.85812$	$4.04308$	$[1, 1, 1, -496563, -104037594]$	\(y^2+xy+y=x^3+x^2-496563x-104037594\)	44.2.0.a.1	$[]$
297825.ci1	297825ci1	297825.ci	297825ci	$1$	$1$	\( 3 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( 3^{2} \cdot 5^{6} \cdot 11^{3} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1$	$1$		$0$	$302400$	$0.789791$	$51026761/11979$	$0.85812$	$2.64144$	$[1, 0, 1, -1376, 15023]$	\(y^2+xy+y=x^3-1376x+15023\)	44.2.0.a.1	$[]$
393129.l1	393129l1	393129.l	393129l	$1$	$1$	\( 3^{2} \cdot 11^{2} \cdot 19^{2} \)	\( 3^{8} \cdot 11^{9} \cdot 19^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$1$	$1$		$0$	$2073600$	$1.733326$	$51026761/11979$	$0.85812$	$3.46345$	$[1, -1, 1, -59918, 4367058]$	\(y^2+xy+y=x^3-x^2-59918x+4367058\)	44.2.0.a.1	$[]$
393129.cd1	393129cd1	393129.cd	393129cd	$1$	$1$	\( 3^{2} \cdot 11^{2} \cdot 19^{2} \)	\( 3^{8} \cdot 11^{9} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$44$	$2$	$0$	$8.120587733$	$1$		$0$	$39398400$	$3.205547$	$51026761/11979$	$0.85812$	$4.83488$	$[1, -1, 0, -21630285, -29845501218]$	\(y^2+xy=x^3-x^2-21630285x-29845501218\)	44.2.0.a.1	$[(-387774/11, 109872846/11)]$