Elliptic curve search results

Results (17 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
5610.d1	5610b1	5610.d	5610b	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{7} \cdot 3^{5} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$22440$	$2$	$0$	$1$	$1$		$0$	$1680$	$0.112840$	$2053225511/29082240$	$0.87753$	$2.84960$	$[1, 1, 0, 27, -243]$	\(y^2+xy=x^3+x^2+27x-243\)	22440.2.0.?	$[]$
16830.cs1	16830cu1	16830.cs	16830cu	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{7} \cdot 3^{11} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.338969292$	$1$		$6$	$13440$	$0.662147$	$2053225511/29082240$	$0.87753$	$3.20528$	$[1, -1, 1, 238, 6801]$	\(y^2+xy+y=x^3-x^2+238x+6801\)	22440.2.0.?	$[(-1, 81)]$
28050.de1	28050cy1	28050.de	28050cy	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{7} \cdot 3^{5} \cdot 5^{7} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.153936123$	$1$		$10$	$40320$	$0.917560$	$2053225511/29082240$	$0.87753$	$3.34467$	$[1, 0, 0, 662, -31708]$	\(y^2+xy=x^3+662x-31708\)	22440.2.0.?	$[(32, 134)]$
44880.bv1	44880cp1	44880.bv	44880cp	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{5} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.419873399$	$1$		$6$	$40320$	$0.805987$	$2053225511/29082240$	$0.87753$	$3.07293$	$[0, 1, 0, 424, 16404]$	\(y^2=x^3+x^2+424x+16404\)	22440.2.0.?	$[(22, 192)]$
61710.bq1	61710bn1	61710.bq	61710bn	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{7} \cdot 3^{5} \cdot 5 \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.506295097$	$1$		$4$	$201600$	$1.311789$	$2053225511/29082240$	$0.87753$	$3.53448$	$[1, 1, 1, 3204, 339549]$	\(y^2+xy+y=x^3+x^2+3204x+339549\)	22440.2.0.?	$[(-27, 497)]$
84150.bf1	84150cq1	84150.bf	84150cq	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{7} \cdot 3^{11} \cdot 5^{7} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$322560$	$1.466866$	$2053225511/29082240$	$0.87753$	$3.60191$	$[1, -1, 0, 5958, 856116]$	\(y^2+xy=x^3-x^2+5958x+856116\)	22440.2.0.?	$[]$
95370.bm1	95370br1	95370.bm	95370br	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{5} \cdot 5 \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$483840$	$1.529448$	$2053225511/29082240$	$0.87753$	$3.62809$	$[1, 0, 1, 7652, -1247782]$	\(y^2+xy+y=x^3+7652x-1247782\)	22440.2.0.?	$[]$
134640.dt1	134640n1	134640.dt	134640n	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{11} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$322560$	$1.355293$	$2053225511/29082240$	$0.87753$	$3.34521$	$[0, 0, 0, 3813, -439094]$	\(y^2=x^3+3813x-439094\)	22440.2.0.?	$[]$
179520.cv1	179520co1	179520.cv	179520co	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{25} \cdot 3^{5} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$322560$	$1.152561$	$2053225511/29082240$	$0.87753$	$3.06457$	$[0, -1, 0, 1695, 129537]$	\(y^2=x^3-x^2+1695x+129537\)	22440.2.0.?	$[]$
179520.hp1	179520ez1	179520.hp	179520ez	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{25} \cdot 3^{5} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.494982394$	$1$		$2$	$322560$	$1.152561$	$2053225511/29082240$	$0.87753$	$3.06457$	$[0, 1, 0, 1695, -129537]$	\(y^2=x^3+x^2+1695x-129537\)	22440.2.0.?	$[(83, 768)]$
185130.bz1	185130df1	185130.bz	185130df	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{7} \cdot 3^{11} \cdot 5 \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$3.562992762$	$1$		$2$	$1612800$	$1.861094$	$2053225511/29082240$	$0.87753$	$3.75780$	$[1, -1, 0, 28836, -9138992]$	\(y^2+xy=x^3-x^2+28836x-9138992\)	22440.2.0.?	$[(4469, 296696)]$
224400.db1	224400fl1	224400.db	224400fl	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{19} \cdot 3^{5} \cdot 5^{7} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$2.588601895$	$1$		$2$	$967680$	$1.610706$	$2053225511/29082240$	$0.87753$	$3.45527$	$[0, -1, 0, 10592, 2029312]$	\(y^2=x^3-x^2+10592x+2029312\)	22440.2.0.?	$[(-78, 850)]$
274890.cm1	274890cm1	274890.cm	274890cm	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{7} \cdot 3^{5} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$635040$	$1.085796$	$2053225511/29082240$	$0.87753$	$2.89634$	$[1, 0, 1, 1297, 87266]$	\(y^2+xy+y=x^3+1297x+87266\)	22440.2.0.?	$[]$
286110.eb1	286110eb1	286110.eb	286110eb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{11} \cdot 5 \cdot 11 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.998456154$	$1$		$4$	$3870720$	$2.078754$	$2053225511/29082240$	$0.87753$	$3.83549$	$[1, -1, 1, 68872, 33690107]$	\(y^2+xy+y=x^3-x^2+68872x+33690107\)	22440.2.0.?	$[(-225, 2713)]$
308550.ek1	308550ek1	308550.ek	308550ek	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{7} \cdot 3^{5} \cdot 5^{7} \cdot 11^{7} \cdot 17 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.850962183$	$1$		$14$	$4838400$	$2.116508$	$2053225511/29082240$	$0.87753$	$3.84842$	$[1, 0, 1, 80099, 42283448]$	\(y^2+xy+y=x^3+80099x+42283448\)	22440.2.0.?	$[(472, 13376), (-254, 2486)]$
476850.he1	476850he1	476850.he	476850he	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{7} \cdot 3^{5} \cdot 5^{7} \cdot 11 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$2.049652020$	$1$		$2$	$11612160$	$2.334167$	$2053225511/29082240$	$0.87753$	$3.92005$	$[1, 1, 1, 191312, -155972719]$	\(y^2+xy+y=x^3+x^2+191312x-155972719\)	22440.2.0.?	$[(3265, 186217)]$
493680.ez1	493680ez1	493680.ez	493680ez	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{19} \cdot 3^{5} \cdot 5 \cdot 11^{7} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$4838400$	$2.004936$	$2053225511/29082240$	$0.87753$	$3.60832$	$[0, 1, 0, 51264, -21628620]$	\(y^2=x^3+x^2+51264x-21628620\)	22440.2.0.?	$[]$