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.c4	5610a1	5610.c	5610a	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1.127882577$	$1$		$5$	$2048$	$0.081343$	$-2565726409/19388160$	$0.99636$	$2.81601$	$[1, 1, 0, -28, 208]$	\(y^2+xy=x^3+x^2-28x+208\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[(1, 13)]$
16830.cl4	16830cy1	16830.cl	16830cy	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$16384$	$0.630649$	$-2565726409/19388160$	$0.99636$	$3.17548$	$[1, -1, 1, -257, -5871]$	\(y^2+xy+y=x^3-x^2-257x-5871\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[]$
28050.dg4	28050db1	28050.dg	28050db	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 11 \cdot 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$22440$	$48$	$0$	$1$	$1$		$3$	$49152$	$0.886062$	$-2565726409/19388160$	$0.99636$	$3.31636$	$[1, 0, 0, -713, 27417]$	\(y^2+xy=x^3-713x+27417\)	2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 1870.6.0.?, 3740.24.0.?, $\ldots$	$[]$
44880.bw4	44880ch1	44880.bw	44880ch	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{20} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$49152$	$0.774490$	$-2565726409/19388160$	$0.99636$	$3.04586$	$[0, 1, 0, -456, -14220]$	\(y^2=x^3+x^2-456x-14220\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$	$[]$
61710.br4	61710bt1	61710.br	61710bt	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$245760$	$1.280291$	$-2565726409/19388160$	$0.99636$	$3.50819$	$[1, 1, 1, -3451, -294007]$	\(y^2+xy+y=x^3+x^2-3451x-294007\)	2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.2, 120.12.0.?, 220.12.0.?, $\ldots$	$[]$
84150.bz4	84150cd1	84150.bz	84150cd	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$5.703771480$	$1$		$3$	$393216$	$1.435368$	$-2565726409/19388160$	$0.99636$	$3.57634$	$[1, -1, 0, -6417, -740259]$	\(y^2+xy=x^3-x^2-6417x-740259\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$	$[(1138, 37703)]$
95370.bo4	95370bq1	95370.bo	95370bq	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$589824$	$1.497950$	$-2565726409/19388160$	$0.99636$	$3.60280$	$[1, 0, 1, -8243, 1079246]$	\(y^2+xy+y=x^3-8243x+1079246\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 120.12.0.?, 340.12.0.?, $\ldots$	$[]$
134640.dy4	134640s1	134640.dy	134640s	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{20} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$22440$	$48$	$0$	$2.562905137$	$1$		$5$	$393216$	$1.323795$	$-2565726409/19388160$	$0.99636$	$3.32065$	$[0, 0, 0, -4107, 379834]$	\(y^2=x^3-4107x+379834\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(-10, 648)]$
179520.df4	179520cu1	179520.df	179520cu	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{26} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$11.99786317$	$1$		$1$	$393216$	$1.121063$	$-2565726409/19388160$	$0.99636$	$3.04060$	$[0, -1, 0, -1825, -111935]$	\(y^2=x^3-x^2-1825x-111935\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(465037/26, 316227807/26)]$
179520.hj4	179520ew1	179520.hj	179520ew	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \)	\( - 2^{26} \cdot 3^{4} \cdot 5 \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$393216$	$1.121063$	$-2565726409/19388160$	$0.99636$	$3.04060$	$[0, 1, 0, -1825, 111935]$	\(y^2=x^3+x^2-1825x+111935\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[]$
185130.cl4	185130dl1	185130.cl	185130dl	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$1966080$	$1.829596$	$-2565726409/19388160$	$0.99636$	$3.73390$	$[1, -1, 0, -31059, 7907125]$	\(y^2+xy=x^3-x^2-31059x+7907125\)	2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 204.12.0.?, $\ldots$	$[]$
224400.cw4	224400fh1	224400.cw	224400fh	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{20} \cdot 3^{4} \cdot 5^{7} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$22440$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.579208$	$-2565726409/19388160$	$0.99636$	$3.43174$	$[0, -1, 0, -11408, -1754688]$	\(y^2=x^3-x^2-11408x-1754688\)	2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 1870.6.0.?, 3740.24.0.?, $\ldots$	$[]$
274890.ct4	274890ct1	274890.ct	274890ct	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \)	\( - 2^{8} \cdot 3^{4} \cdot 5 \cdot 7^{6} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$157080$	$48$	$0$	$5.639223430$	$1$		$1$	$786432$	$1.054298$	$-2565726409/19388160$	$0.99636$	$2.87319$	$[1, 0, 1, -1398, -75512]$	\(y^2+xy+y=x^3-1398x-75512\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$	$[(1702/3, 65911/3)]$
286110.ei4	286110ei1	286110.ei	286110ei	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$2.321473733$	$1$		$5$	$4718592$	$2.047256$	$-2565726409/19388160$	$0.99636$	$3.81241$	$[1, -1, 1, -74183, -29139649]$	\(y^2+xy+y=x^3-x^2-74183x-29139649\)	2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 136.12.0.?, $\ldots$	$[(421, 3546)]$
308550.dy4	308550dy1	308550.dy	308550dy	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 11^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$2.575194884$	$1$		$5$	$5898240$	$2.085011$	$-2565726409/19388160$	$0.99636$	$3.82548$	$[1, 0, 1, -86276, -36578302]$	\(y^2+xy+y=x^3-86276x-36578302\)	2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 120.12.0.?, 340.12.0.?, $\ldots$	$[(657, 13471)]$
476850.hc4	476850hc1	476850.hc	476850hc	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 2^{8} \cdot 3^{4} \cdot 5^{7} \cdot 11 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$2.037671325$	$1$		$5$	$14155776$	$2.302670$	$-2565726409/19388160$	$0.99636$	$3.89788$	$[1, 1, 1, -206063, 134905781]$	\(y^2+xy+y=x^3+x^2-206063x+134905781\)	2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.2, 120.12.0.?, 220.12.0.?, $\ldots$	$[(-509, 10658)]$
493680.ex4	493680ex1	493680.ex	493680ex	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \)	\( - 2^{20} \cdot 3^{4} \cdot 5 \cdot 11^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$22440$	$48$	$0$	$2.774430408$	$1$		$3$	$5898240$	$1.973438$	$-2565726409/19388160$	$0.99636$	$3.58620$	$[0, 1, 0, -55216, 18706004]$	\(y^2=x^3+x^2-55216x+18706004\)	2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 120.12.0.?, 220.12.0.?, $\ldots$	$[(1316, 47190)]$