Elliptic curve search results

Results (14 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
12870.a1	12870a1	12870.a	12870a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$33600$	$1.151901$	$-9456845543523/57200000$	$0.90382$	$4.20344$	$[1, -1, 0, -11895, -498979]$	\(y^2+xy=x^3-x^2-11895x-498979\)	17160.2.0.?	$[ ]$
12870.bt1	12870bl1	12870.bt	12870bl	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.062133567$	$1$		$12$	$11200$	$0.602596$	$-9456845543523/57200000$	$0.90382$	$3.50684$	$[1, -1, 1, -1322, 18921]$	\(y^2+xy+y=x^3-x^2-1322x+18921\)	17160.2.0.?	$[(11, 69)]$
64350.cn1	64350k1	64350.cn	64350k	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{11} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$268800$	$1.407314$	$-9456845543523/57200000$	$0.90382$	$3.86924$	$[1, -1, 0, -33042, 2332116]$	\(y^2+xy=x^3-x^2-33042x+2332116\)	17160.2.0.?	$[ ]$
64350.fh1	64350cr1	64350.fh	64350cr	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{11} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$806400$	$1.956621$	$-9456845543523/57200000$	$0.90382$	$4.46458$	$[1, -1, 1, -297380, -62669753]$	\(y^2+xy+y=x^3-x^2-297380x-62669753\)	17160.2.0.?	$[ ]$
102960.cm1	102960ch1	102960.cm	102960ch	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{9} \cdot 5^{5} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$806400$	$1.845049$	$-9456845543523/57200000$	$0.90382$	$4.16679$	$[0, 0, 0, -190323, 32124978]$	\(y^2=x^3-190323x+32124978\)	17160.2.0.?	$[ ]$
102960.ex1	102960cl1	102960.ex	102960cl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{19} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$268800$	$1.295744$	$-9456845543523/57200000$	$0.90382$	$3.59569$	$[0, 0, 0, -21147, -1189814]$	\(y^2=x^3-21147x-1189814\)	17160.2.0.?	$[ ]$
141570.cn1	141570eu1	141570.cn	141570eu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$3.103068413$	$1$		$0$	$1344000$	$1.801544$	$-9456845543523/57200000$	$0.90382$	$4.01089$	$[1, -1, 0, -159924, -24704432]$	\(y^2+xy=x^3-x^2-159924x-24704432\)	17160.2.0.?	$[(2003/2, 34297/2)]$
141570.ds1	141570cn1	141570.ds	141570cn	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.901394826$	$1$		$4$	$4032000$	$2.350849$	$-9456845543523/57200000$	$0.90382$	$4.56666$	$[1, -1, 1, -1439318, 668458981]$	\(y^2+xy+y=x^3-x^2-1439318x+668458981\)	17160.2.0.?	$[(751, 2891)]$
167310.bh1	167310ft1	167310.bh	167310ft	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$3.575321397$	$1$		$2$	$1881600$	$1.885071$	$-9456845543523/57200000$	$0.90382$	$4.03852$	$[1, -1, 0, -223365, 40899925]$	\(y^2+xy=x^3-x^2-223365x+40899925\)	17160.2.0.?	$[(-523, 4064)]$
167310.ft1	167310cj1	167310.ft	167310cj	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \)	\( - 2^{7} \cdot 3^{9} \cdot 5^{5} \cdot 11 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1$	$1$		$0$	$5644800$	$2.434376$	$-9456845543523/57200000$	$0.90382$	$4.58656$	$[1, -1, 1, -2010287, -1102287689]$	\(y^2+xy+y=x^3-x^2-2010287x-1102287689\)	17160.2.0.?	$[ ]$
411840.a1	411840a1	411840.a	411840a	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{25} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$1.055201325$	$1$		$6$	$2150400$	$1.642317$	$-9456845543523/57200000$	$0.90382$	$3.53181$	$[0, 0, 0, -84588, 9518512]$	\(y^2=x^3-84588x+9518512\)	17160.2.0.?	$[(134, 768)]$
411840.gt1	411840gt1	411840.gt	411840gt	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{25} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$19.43533100$	$1$		$0$	$2150400$	$1.642317$	$-9456845543523/57200000$	$0.90382$	$3.53181$	$[0, 0, 0, -84588, -9518512]$	\(y^2=x^3-84588x-9518512\)	17160.2.0.?	$[(463731541/289, 9972204983631/289)]$
411840.gw1	411840gw1	411840.gw	411840gw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{25} \cdot 3^{9} \cdot 5^{5} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$3.550163966$	$1$		$2$	$6451200$	$2.191624$	$-9456845543523/57200000$	$0.90382$	$4.04167$	$[0, 0, 0, -761292, -256999824]$	\(y^2=x^3-761292x-256999824\)	17160.2.0.?	$[(1992, 78300)]$
411840.ny1	411840ny1	411840.ny	411840ny	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \)	\( - 2^{25} \cdot 3^{9} \cdot 5^{5} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$17160$	$2$	$0$	$0.967334076$	$1$		$4$	$6451200$	$2.191624$	$-9456845543523/57200000$	$0.90382$	$4.04167$	$[0, 0, 0, -761292, 256999824]$	\(y^2=x^3-761292x+256999824\)	17160.2.0.?	$[(658, 6400)]$

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