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.bd1	5610bc1	5610.bd	5610bc	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{5} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$22440$	$2$	$0$	$1$	$1$		$0$	$1200$	$-0.045902$	$-496981290961/89760$	$1.01298$	$3.11992$	$[1, 1, 1, -165, -885]$	\(y^2+xy+y=x^3+x^2-165x-885\)	22440.2.0.?	$[]$
16830.q1	16830v1	16830.q	16830v	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.485991473$	$1$		$4$	$9600$	$0.503405$	$-496981290961/89760$	$1.01298$	$3.44508$	$[1, -1, 0, -1485, 22405]$	\(y^2+xy=x^3-x^2-1485x+22405\)	22440.2.0.?	$[(23, -7)]$
28050.ba1	28050z1	28050.ba	28050z	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{5} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$28800$	$0.758818$	$-496981290961/89760$	$1.01298$	$3.57251$	$[1, 0, 1, -4126, -102352]$	\(y^2+xy+y=x^3-4126x-102352\)	22440.2.0.?	$[]$
44880.ck1	44880da1	44880.ck	44880da	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{17} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$28800$	$0.647245$	$-496981290961/89760$	$1.01298$	$3.29077$	$[0, 1, 0, -2640, 51348]$	\(y^2=x^3+x^2-2640x+51348\)	22440.2.0.?	$[]$
61710.k1	61710q1	61710.k	61710q	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{5} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.956593915$	$1$		$2$	$144000$	$1.153046$	$-496981290961/89760$	$1.01298$	$3.74603$	$[1, 1, 0, -19967, 1077861]$	\(y^2+xy=x^3+x^2-19967x+1077861\)	22440.2.0.?	$[(61, 272)]$
84150.el1	84150gb1	84150.el	84150gb	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5^{7} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.255472235$	$1$		$8$	$230400$	$1.308123$	$-496981290961/89760$	$1.01298$	$3.80768$	$[1, -1, 1, -37130, 2763497]$	\(y^2+xy+y=x^3-x^2-37130x+2763497\)	22440.2.0.?	$[(99, 175)]$
95370.cw1	95370de1	95370.cw	95370de	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{5} \cdot 3 \cdot 5 \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$345600$	$1.370705$	$-496981290961/89760$	$1.01298$	$3.83161$	$[1, 0, 0, -47691, -4013295]$	\(y^2+xy=x^3-47691x-4013295\)	22440.2.0.?	$[]$
134640.i1	134640bv1	134640.i	134640bv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{17} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$3.570326209$	$1$		$2$	$230400$	$1.196552$	$-496981290961/89760$	$1.01298$	$3.54279$	$[0, 0, 0, -23763, -1410158]$	\(y^2=x^3-23763x-1410158\)	22440.2.0.?	$[(249, 2848)]$
179520.j1	179520dm1	179520.j	179520dm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{23} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.512515733$	$1$		$4$	$230400$	$0.993819$	$-496981290961/89760$	$1.01298$	$3.25745$	$[0, -1, 0, -10561, 421345]$	\(y^2=x^3-x^2-10561x+421345\)	22440.2.0.?	$[(69, 128)]$
179520.fx1	179520gl1	179520.fx	179520gl	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{23} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$9$	$3$	$0$	$230400$	$0.993819$	$-496981290961/89760$	$1.01298$	$3.25745$	$[0, 1, 0, -10561, -421345]$	\(y^2=x^3+x^2-10561x-421345\)	22440.2.0.?	$[]$
185130.de1	185130ba1	185130.de	185130ba	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$2.183224381$	$1$		$2$	$1152000$	$1.702353$	$-496981290961/89760$	$1.01298$	$3.95019$	$[1, -1, 1, -179708, -29281953]$	\(y^2+xy+y=x^3-x^2-179708x-29281953\)	22440.2.0.?	$[(641, 10569)]$
224400.ds1	224400fs1	224400.ds	224400fs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{17} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.423853626$	$1$		$2$	$691200$	$1.451965$	$-496981290961/89760$	$1.01298$	$3.64466$	$[0, -1, 0, -66008, 6550512]$	\(y^2=x^3-x^2-66008x+6550512\)	22440.2.0.?	$[(12, 2400)]$
274890.ex1	274890ex1	274890.ex	274890ex	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{5} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$396000$	$0.927053$	$-496981290961/89760$	$1.01298$	$3.08266$	$[1, 0, 0, -8086, 279236]$	\(y^2+xy=x^3-8086x+279236\)	22440.2.0.?	$[]$
286110.bt1	286110bt1	286110.bt	286110bt	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$0.976705381$	$1$		$2$	$2764800$	$1.920012$	$-496981290961/89760$	$1.01298$	$4.02122$	$[1, -1, 0, -429219, 108358965]$	\(y^2+xy=x^3-x^2-429219x+108358965\)	22440.2.0.?	$[(489, 3657)]$
308550.jy1	308550jy1	308550.jy	308550jy	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{5} \cdot 3 \cdot 5^{7} \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1.126109012$	$1$		$2$	$3456000$	$1.957766$	$-496981290961/89760$	$1.01298$	$4.03304$	$[1, 0, 0, -499188, 135730992]$	\(y^2+xy=x^3-499188x+135730992\)	22440.2.0.?	$[(428, 512)]$
476850.cs1	476850cs1	476850.cs	476850cs	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{5} \cdot 3 \cdot 5^{7} \cdot 11 \cdot 17^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$1$	$1$		$0$	$8294400$	$2.175423$	$-496981290961/89760$	$1.01298$	$4.09852$	$[1, 1, 0, -1192275, -501661875]$	\(y^2+xy=x^3+x^2-1192275x-501661875\)	22440.2.0.?	$[]$
493680.hm1	493680hm1	493680.hm	493680hm	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{17} \cdot 3 \cdot 5 \cdot 11^{7} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22440$	$2$	$0$	$16.12506109$	$1$		$0$	$3456000$	$1.846193$	$-496981290961/89760$	$1.01298$	$3.78632$	$[0, 1, 0, -319480, -69622060]$	\(y^2=x^3+x^2-319480x-69622060\)	22440.2.0.?	$[(1017592342/333, 32399587655072/333)]$