Elliptic curve search results

Results (19 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
1670.a1	1670a1	1670.a	1670a	$1$	$1$	\( 2 \cdot 5 \cdot 167 \)	\( - 2^{10} \cdot 5^{5} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$1670$	$2$	$0$	$1.837315346$	$1$		$2$	$1000$	$0.354351$	$-6321363049/534400000$	$1.05751$	$3.71375$	$[1, 1, 0, -38, -1132]$	\(y^2+xy=x^3+x^2-38x-1132\)	1670.2.0.?	$[(28, 130)]$
8350.e1	8350f1	8350.e	8350f	$1$	$1$	\( 2 \cdot 5^{2} \cdot 167 \)	\( - 2^{10} \cdot 5^{11} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.331730625$	$1$		$6$	$24000$	$1.159069$	$-6321363049/534400000$	$1.05751$	$4.12124$	$[1, 0, 0, -963, -139583]$	\(y^2+xy=x^3-963x-139583\)	1670.2.0.?	$[(122, 1189)]$
13360.d1	13360g1	13360.d	13360g	$1$	$1$	\( 2^{4} \cdot 5 \cdot 167 \)	\( - 2^{22} \cdot 5^{5} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.067668060$	$1$		$4$	$24000$	$1.047499$	$-6321363049/534400000$	$1.05751$	$3.77641$	$[0, 1, 0, -616, 71220]$	\(y^2=x^3+x^2-616x+71220\)	1670.2.0.?	$[(14, 256)]$
15030.n1	15030p1	15030.n	15030p	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{5} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.102803325$	$1$		$10$	$24000$	$0.903657$	$-6321363049/534400000$	$1.05751$	$3.55069$	$[1, -1, 1, -347, 30219]$	\(y^2+xy+y=x^3-x^2-347x+30219\)	1670.2.0.?	$[(-13, 186)]$
53440.c1	53440f1	53440.c	53440f	$1$	$1$	\( 2^{6} \cdot 5 \cdot 167 \)	\( - 2^{28} \cdot 5^{5} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$192000$	$1.394072$	$-6321363049/534400000$	$1.05751$	$3.67754$	$[0, 1, 0, -2465, -572225]$	\(y^2=x^3+x^2-2465x-572225\)	1670.2.0.?	$[]$
53440.t1	53440q1	53440.t	53440q	$1$	$1$	\( 2^{6} \cdot 5 \cdot 167 \)	\( - 2^{28} \cdot 5^{5} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$192000$	$1.394072$	$-6321363049/534400000$	$1.05751$	$3.67754$	$[0, -1, 0, -2465, 572225]$	\(y^2=x^3-x^2-2465x+572225\)	1670.2.0.?	$[]$
66800.s1	66800n1	66800.s	66800n	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 167 \)	\( - 2^{22} \cdot 5^{11} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$576000$	$1.852217$	$-6321363049/534400000$	$1.05751$	$4.09854$	$[0, -1, 0, -15408, 8933312]$	\(y^2=x^3-x^2-15408x+8933312\)	1670.2.0.?	$[]$
75150.q1	75150h1	75150.q	75150h	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{10} \cdot 3^{6} \cdot 5^{11} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$576000$	$1.708376$	$-6321363049/534400000$	$1.05751$	$3.90180$	$[1, -1, 0, -8667, 3768741]$	\(y^2+xy=x^3-x^2-8667x+3768741\)	1670.2.0.?	$[]$
81830.c1	81830t1	81830.c	81830t	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( - 2^{10} \cdot 5^{5} \cdot 7^{6} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$0.589597657$	$1$		$16$	$384000$	$1.327307$	$-6321363049/534400000$	$1.05751$	$3.46820$	$[1, 0, 1, -1888, 382638]$	\(y^2+xy+y=x^3-1888x+382638\)	1670.2.0.?	$[(249, 3795), (4, 610)]$
120240.bw1	120240ci1	120240.bw	120240ci	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{22} \cdot 3^{6} \cdot 5^{5} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.421646684$	$1$		$12$	$576000$	$1.596804$	$-6321363049/534400000$	$1.05751$	$3.63057$	$[0, 0, 0, -5547, -1928486]$	\(y^2=x^3-5547x-1928486\)	1670.2.0.?	$[(1493, 57600), (213, 2560)]$
202070.s1	202070h1	202070.s	202070h	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 167 \)	\( - 2^{10} \cdot 5^{5} \cdot 11^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$1190000$	$1.553299$	$-6321363049/534400000$	$1.05751$	$3.43355$	$[1, 1, 1, -4661, 1483483]$	\(y^2+xy+y=x^3+x^2-4661x+1483483\)	1670.2.0.?	$[]$
267200.d1	267200d1	267200.d	267200d	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 167 \)	\( - 2^{28} \cdot 5^{11} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$4608000$	$2.198792$	$-6321363049/534400000$	$1.05751$	$3.97667$	$[0, 1, 0, -61633, 71404863]$	\(y^2=x^3+x^2-61633x+71404863\)	1670.2.0.?	$[]$
267200.bw1	267200bw1	267200.bw	267200bw	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 167 \)	\( - 2^{28} \cdot 5^{11} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$4608000$	$2.198792$	$-6321363049/534400000$	$1.05751$	$3.97667$	$[0, -1, 0, -61633, -71404863]$	\(y^2=x^3-x^2-61633x-71404863\)	1670.2.0.?	$[]$
278890.c1	278890c1	278890.c	278890c	$1$	$1$	\( 2 \cdot 5 \cdot 167^{2} \)	\( - 2^{10} \cdot 5^{5} \cdot 167^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$4.068482121$	$1$		$2$	$27888000$	$2.913349$	$-6321363049/534400000$	$1.05751$	$4.64695$	$[1, 1, 0, -1074307, 5197383501]$	\(y^2+xy=x^3+x^2-1074307x+5197383501\)	1670.2.0.?	$[(380022, 234077589)]$
282230.n1	282230n1	282230.n	282230n	$1$	$1$	\( 2 \cdot 5 \cdot 13^{2} \cdot 167 \)	\( - 2^{10} \cdot 5^{5} \cdot 13^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1$	$1$		$0$	$2052000$	$1.636826$	$-6321363049/534400000$	$1.05751$	$3.42201$	$[1, 1, 1, -6510, -2454613]$	\(y^2+xy+y=x^3+x^2-6510x-2454613\)	1670.2.0.?	$[]$
409150.dc1	409150dc1	409150.dc	409150dc	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 167 \)	\( - 2^{10} \cdot 5^{11} \cdot 7^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$1.759919470$	$1$		$2$	$9216000$	$2.132027$	$-6321363049/534400000$	$1.05751$	$3.78354$	$[1, 1, 1, -47188, 47829781]$	\(y^2+xy+y=x^3+x^2-47188x+47829781\)	1670.2.0.?	$[(265, 7217)]$
480960.bj1	480960bj1	480960.bj	480960bj	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{28} \cdot 3^{6} \cdot 5^{5} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$4.307807341$	$1$		$2$	$4608000$	$1.943378$	$-6321363049/534400000$	$1.05751$	$3.56375$	$[0, 0, 0, -22188, 15427888]$	\(y^2=x^3-22188x+15427888\)	1670.2.0.?	$[(-232, 2844)]$
480960.ca1	480960ca1	480960.ca	480960ca	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{28} \cdot 3^{6} \cdot 5^{5} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$17.55841098$	$1$		$0$	$4608000$	$1.943378$	$-6321363049/534400000$	$1.05751$	$3.56375$	$[0, 0, 0, -22188, -15427888]$	\(y^2=x^3-22188x-15427888\)	1670.2.0.?	$[(246278332/209, 3863393805528/209)]$
482630.c1	482630c1	482630.c	482630c	$1$	$1$	\( 2 \cdot 5 \cdot 17^{2} \cdot 167 \)	\( - 2^{10} \cdot 5^{5} \cdot 17^{6} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1670$	$2$	$0$	$2.790219577$	$1$		$2$	$4784000$	$1.770958$	$-6321363049/534400000$	$1.05751$	$3.40471$	$[1, 0, 1, -11133, -5483944]$	\(y^2+xy+y=x^3-11133x-5483944\)	1670.2.0.?	$[(515, 10942)]$