Elliptic curve search results

Results (9 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
27060.h2	27060i1	27060.h	27060i	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \)	\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 41 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$27060$	$16$	$0$	$1$	$1$		$2$	$9504$	$0.461073$	$817036976/7367085$	$0.79923$	$2.81664$	$1$	$[0, 1, 0, 124, -1980]$	\(y^2=x^3+x^2+124x-1980\)	3.8.0-3.a.1.2, 27060.16.0.?	$[ ]$	$1$
81180.j2	81180m1	81180.j	81180m	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 41 \)	\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$27060$	$16$	$0$	$2.243210757$	$1$		$2$	$76032$	$1.010380$	$817036976/7367085$	$0.79923$	$3.12601$	$1$	$[0, 0, 0, 1113, 54574]$	\(y^2=x^3+1113x+54574\)	3.8.0-3.a.1.1, 27060.16.0.?	$[(14, 270)]$	$1$
108240.c2	108240s1	108240.c	108240s	$2$	$3$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \)	\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$27060$	$16$	$0$	$1$	$1$		$0$	$38016$	$0.461073$	$817036976/7367085$	$0.79923$	$2.47980$	$1$	$[0, -1, 0, 124, 1980]$	\(y^2=x^3-x^2+124x+1980\)	3.4.0.a.1, 12.8.0-3.a.1.1, 13530.8.0.?, 27060.16.0.?	$[ ]$	$1$
135300.i2	135300w1	135300.i	135300w	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 41 \)	\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 11^{3} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$27060$	$16$	$0$	$1.590151757$	$1$		$2$	$228096$	$1.265791$	$817036976/7367085$	$0.79923$	$3.25027$	$1$	$[0, -1, 0, 3092, -253688]$	\(y^2=x^3-x^2+3092x-253688\)	3.4.0.a.1, 15.8.0-3.a.1.2, 5412.8.0.?, 27060.16.0.?	$[(137, 1650)]$	$1$
297660.ba2	297660ba1	297660.ba	297660ba	$2$	$3$	\( 2^{2} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 41 \)	\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 11^{9} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$27060$	$16$	$0$	$2.576730433$	$1$		$0$	$1140480$	$1.660021$	$817036976/7367085$	$0.79923$	$3.42228$	$1$	$[0, 1, 0, 14964, 2695284]$	\(y^2=x^3+x^2+14964x+2695284\)	3.4.0.a.1, 33.8.0-3.a.1.2, 2460.8.0.?, 27060.16.0.?	$[(-115/2, 11979/2)]$	$1$
324720.do2	324720do1	324720.do	324720do	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 41 \)	\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 11^{3} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$27060$	$16$	$0$	$1$	$1$		$0$	$304128$	$1.010380$	$817036976/7367085$	$0.79923$	$2.78454$	$1$	$[0, 0, 0, 1113, -54574]$	\(y^2=x^3+1113x-54574\)	3.4.0.a.1, 12.8.0-3.a.1.2, 13530.8.0.?, 27060.16.0.?	$[ ]$	$1$
405900.bc2	405900bc1	405900.bc	405900bc	$2$	$3$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 41 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 11^{3} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$27060$	$16$	$0$	$1$	$1$		$0$	$1824768$	$1.815098$	$817036976/7367085$	$0.79923$	$3.48419$	$1$	$[0, 0, 0, 27825, 6821750]$	\(y^2=x^3+27825x+6821750\)	3.4.0.a.1, 15.8.0-3.a.1.1, 5412.8.0.?, 27060.16.0.?	$[ ]$	$1$
432960.cp2	432960cp1	432960.cp	432960cp	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \)	\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 41 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$54120$	$16$	$0$	$1$	$1$		$0$	$304128$	$0.807647$	$817036976/7367085$	$0.79923$	$2.53536$	$1$	$[0, -1, 0, 495, -16335]$	\(y^2=x^3-x^2+495x-16335\)	3.4.0.a.1, 24.8.0-3.a.1.2, 27060.8.0.?, 54120.16.0.?	$[ ]$	$1$
432960.gc2	432960gc1	432960.gc	432960gc	$2$	$3$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 41 \)	\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 41 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$54120$	$16$	$0$	$1.029142504$	$1$		$2$	$304128$	$0.807647$	$817036976/7367085$	$0.79923$	$2.53536$	$1$	$[0, 1, 0, 495, 16335]$	\(y^2=x^3+x^2+495x+16335\)	3.4.0.a.1, 24.8.0-3.a.1.4, 27060.8.0.?, 54120.16.0.?	$[(33, 264)]$	$1$

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