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.c3	5610a2	5610.c	5610a	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$0.563941288$	$1$		$14$	$4096$	$0.427917$	$46380496070089/125888400$	$0.90287$	$3.64536$	$[1, 1, 0, -748, 7552]$	\(y^2+xy=x^3+x^2-748x+7552\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.4, 748.12.0.?, $\ldots$	$[(1, 82)]$
16830.cl3	16830cy2	16830.cl	16830cy	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$2$	$32768$	$0.977222$	$46380496070089/125888400$	$0.90287$	$3.91120$	$[1, -1, 1, -6737, -210639]$	\(y^2+xy+y=x^3-x^2-6737x-210639\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 2244.24.0.?, 3740.24.0.?, $\ldots$	$[]$
28050.dg3	28050db2	28050.dg	28050db	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$2$	$98304$	$1.232635$	$46380496070089/125888400$	$0.90287$	$4.01538$	$[1, 0, 0, -18713, 981417]$	\(y^2+xy=x^3-18713x+981417\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 2244.24.0.?, 3740.24.0.?, $\ldots$	$[]$
44880.bw3	44880ch2	44880.bw	44880ch	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$3$	$98304$	$1.121063$	$46380496070089/125888400$	$0.90287$	$3.71421$	$[0, 1, 0, -11976, -507276]$	\(y^2=x^3+x^2-11976x-507276\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.3, 748.12.0.?, $\ldots$	$[]$
61710.br3	61710bt2	61710.br	61710bt	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$2$	$491520$	$1.626863$	$46380496070089/125888400$	$0.90287$	$4.15725$	$[1, 1, 1, -90571, -10504471]$	\(y^2+xy+y=x^3+x^2-90571x-10504471\)	2.6.0.a.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, $\ldots$	$[]$
84150.bz3	84150cd2	84150.bz	84150cd	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$2.851885740$	$1$		$6$	$786432$	$1.781940$	$46380496070089/125888400$	$0.90287$	$4.20765$	$[1, -1, 0, -168417, -26498259]$	\(y^2+xy=x^3-x^2-168417x-26498259\)	2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.3, 748.12.0.?, $\ldots$	$[(-230, 291)]$
95370.bo3	95370bq2	95370.bo	95370bq	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$2$	$1179648$	$1.844522$	$46380496070089/125888400$	$0.90287$	$4.22721$	$[1, 0, 1, -216323, 38616878]$	\(y^2+xy+y=x^3-216323x+38616878\)	2.6.0.a.1, 44.12.0-2.a.1.1, 60.12.0.a.1, 204.12.0.?, 340.12.0.?, $\ldots$	$[]$
134640.dy3	134640s2	134640.dy	134640s	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$11220$	$48$	$0$	$1.281452568$	$1$		$13$	$786432$	$1.670370$	$46380496070089/125888400$	$0.90287$	$3.92684$	$[0, 0, 0, -107787, 13588666]$	\(y^2=x^3-107787x+13588666\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 2244.24.0.?, 3740.24.0.?, $\ldots$	$[(215, 594)]$
179520.df3	179520cu2	179520.df	179520cu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$22440$	$48$	$0$	$5.998931586$	$1$		$5$	$786432$	$1.467638$	$46380496070089/125888400$	$0.90287$	$3.63237$	$[0, -1, 0, -47905, -4010303]$	\(y^2=x^3-x^2-47905x-4010303\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 60.12.0.a.1, 120.24.0.?, $\ldots$	$[(2752, 143871)]$
179520.hj3	179520ew2	179520.hj	179520ew	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$22440$	$48$	$0$	$1$	$1$		$3$	$786432$	$1.467638$	$46380496070089/125888400$	$0.90287$	$3.63237$	$[0, 1, 0, -47905, 4010303]$	\(y^2=x^3+x^2-47905x+4010303\)	2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0-2.a.1.1, 60.12.0.a.1, 120.24.0.?, $\ldots$	$[]$
185130.cl3	185130dl2	185130.cl	185130dl	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$2$	$3932160$	$2.176170$	$46380496070089/125888400$	$0.90287$	$4.32416$	$[1, -1, 0, -815139, 282805573]$	\(y^2+xy=x^3-x^2-815139x+282805573\)	2.6.0.a.1, 44.12.0-2.a.1.1, 60.12.0.a.1, 204.12.0.?, 340.12.0.?, $\ldots$	$[]$
224400.cw3	224400fh2	224400.cw	224400fh	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$11220$	$48$	$0$	$1$	$1$		$3$	$2359296$	$1.925783$	$46380496070089/125888400$	$0.90287$	$4.01279$	$[0, -1, 0, -299408, -62810688]$	\(y^2=x^3-x^2-299408x-62810688\)	2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 2244.24.0.?, 3740.24.0.?, $\ldots$	$[]$
274890.ct3	274890ct2	274890.ct	274890ct	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$78540$	$48$	$0$	$2.819611715$	$1$		$6$	$1572864$	$1.400871$	$46380496070089/125888400$	$0.90287$	$3.44482$	$[1, 0, 1, -36678, -2700344]$	\(y^2+xy+y=x^3-36678x-2700344\)	2.6.0.a.1, 60.12.0.a.1, 84.12.0.?, 140.12.0.?, 420.24.0.?, $\ldots$	$[(425, 7437)]$
286110.ei3	286110ei2	286110.ei	286110ei	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$4.642947467$	$1$		$6$	$9437184$	$2.393829$	$46380496070089/125888400$	$0.90287$	$4.38223$	$[1, -1, 1, -1946903, -1042655713]$	\(y^2+xy+y=x^3-x^2-1946903x-1042655713\)	2.6.0.a.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, $\ldots$	$[(2205, 72256)]$
308550.dy3	308550dy2	308550.dy	308550dy	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$5.150389768$	$1$		$4$	$11796480$	$2.431583$	$46380496070089/125888400$	$0.90287$	$4.39189$	$[1, 0, 1, -2264276, -1308530302]$	\(y^2+xy+y=x^3-2264276x-1308530302\)	2.6.0.a.1, 44.12.0-2.a.1.1, 60.12.0.a.1, 204.12.0.?, 340.12.0.?, $\ldots$	$[(2472, 89326)]$
476850.hc3	476850hc2	476850.hc	476850hc	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$4.075342650$	$1$		$6$	$28311552$	$2.649242$	$46380496070089/125888400$	$0.90287$	$4.44543$	$[1, 1, 1, -5408063, 4827109781]$	\(y^2+xy+y=x^3+x^2-5408063x+4827109781\)	2.6.0.a.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, $\ldots$	$[(-1035, 97042)]$
493680.ex3	493680ex2	493680.ex	493680ex	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 11^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$11220$	$48$	$0$	$5.548860816$	$1$		$3$	$11796480$	$2.320011$	$46380496070089/125888400$	$0.90287$	$4.13230$	$[0, 1, 0, -1449136, 669387860]$	\(y^2=x^3+x^2-1449136x+669387860\)	2.6.0.a.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, $\ldots$	$[(1090/3, 601120/3)]$