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
5160.m3	5160n1	5160.m	5160n	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$5160$	$48$	$0$	$1.441918754$	$1$		$3$	$2304$	$0.588387$	$1073544204384256/16125$	$0.97030$	$4.37287$	$[0, 1, 0, -5375, 149898]$	\(y^2=x^3+x^2-5375x+149898\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$	$[(51, 105)]$
10320.m3	10320e1	10320.m	10320e	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$5160$	$48$	$0$	$1$	$4$	$2$	$1$	$4608$	$0.588387$	$1073544204384256/16125$	$0.97030$	$4.04490$	$[0, -1, 0, -5375, -149898]$	\(y^2=x^3-x^2-5375x-149898\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$	$[]$
15480.b3	15480d1	15480.b	15480d	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$14.01212655$	$1$		$1$	$18432$	$1.137693$	$1073544204384256/16125$	$0.97030$	$4.55817$	$[0, 0, 0, -48378, -4095623]$	\(y^2=x^3-48378x-4095623\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.2, $\ldots$	$[(2668433/88, 3058916679/88)]$
25800.h3	25800a1	25800.h	25800a	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{4} \cdot 3 \cdot 5^{9} \cdot 43 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$5160$	$48$	$0$	$9.644767752$	$1$		$3$	$55296$	$1.393106$	$1073544204384256/16125$	$0.97030$	$4.63067$	$[0, -1, 0, -134383, 19006012]$	\(y^2=x^3-x^2-134383x+19006012\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 1032.24.0.?, 1290.6.0.?, $\ldots$	$[(79017/4, 22149875/4)]$
30960.l3	30960c1	30960.l	30960c	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$36864$	$1.137693$	$1073544204384256/16125$	$0.97030$	$4.25262$	$[0, 0, 0, -48378, 4095623]$	\(y^2=x^3-48378x+4095623\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.1, $\ldots$	$[]$
41280.l3	41280a1	41280.l	41280a	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$5160$	$48$	$0$	$5.307693681$	$1$		$1$	$36864$	$0.934961$	$1073544204384256/16125$	$0.97030$	$3.90861$	$[0, -1, 0, -21501, 1220685]$	\(y^2=x^3-x^2-21501x+1220685\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.1, 1032.24.0.?, $\ldots$	$[(461/2, 4081/2)]$
41280.ce3	41280cy1	41280.ce	41280cy	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3 \cdot 5^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$5160$	$48$	$0$	$1$	$16$	$2$	$1$	$36864$	$0.934961$	$1073544204384256/16125$	$0.97030$	$3.90861$	$[0, 1, 0, -21501, -1220685]$	\(y^2=x^3+x^2-21501x-1220685\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.9, 1032.24.0.?, $\ldots$	$[]$
51600.cz3	51600y1	51600.cz	51600y	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{4} \cdot 3 \cdot 5^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$5160$	$48$	$0$	$31.58675525$	$1$		$1$	$110592$	$1.393106$	$1073544204384256/16125$	$0.97030$	$4.33488$	$[0, 1, 0, -134383, -19006012]$	\(y^2=x^3+x^2-134383x-19006012\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 1032.24.0.?, 1290.6.0.?, $\ldots$	$[(34831776616129/286520, 17274334765608660033/286520)]$
77400.ba3	77400ba1	77400.ba	77400ba	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$10.64772218$	$1$		$1$	$442368$	$1.942413$	$1073544204384256/16125$	$0.97030$	$4.76431$	$[0, 0, 0, -1209450, -511952875]$	\(y^2=x^3-1209450x-511952875\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$	$[(663790/19, 404682075/19)]$
123840.ez3	123840gf1	123840.ez	123840gf	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$3.004601114$	$1$		$3$	$294912$	$1.484268$	$1073544204384256/16125$	$0.97030$	$4.10454$	$[0, 0, 0, -193512, 32764984]$	\(y^2=x^3-193512x+32764984\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.ba.1, 120.24.0.?, $\ldots$	$[(318, 1840)]$
123840.fa3	123840ck1	123840.fa	123840ck	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$6.238301554$	$1$		$3$	$294912$	$1.484268$	$1073544204384256/16125$	$0.97030$	$4.10454$	$[0, 0, 0, -193512, -32764984]$	\(y^2=x^3-193512x-32764984\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.ba.1, 120.24.0.?, $\ldots$	$[(770, 16576)]$
154800.dk3	154800fv1	154800.dk	154800fv	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$14.04358443$	$1$		$1$	$884736$	$1.942413$	$1073544204384256/16125$	$0.97030$	$4.48796$	$[0, 0, 0, -1209450, 511952875]$	\(y^2=x^3-1209450x+511952875\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$	$[(6430435/21, 16261397200/21)]$
206400.cp3	206400el1	206400.cp	206400el	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$5160$	$48$	$0$	$1$	$4$	$2$	$1$	$884736$	$1.739681$	$1073544204384256/16125$	$0.97030$	$4.18366$	$[0, -1, 0, -537533, -151510563]$	\(y^2=x^3-x^2-537533x-151510563\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.3, 1032.24.0.?, $\ldots$	$[]$
206400.ib3	206400hb1	206400.ib	206400hb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{10} \cdot 3 \cdot 5^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$5160$	$48$	$0$	$13.93375858$	$1$		$1$	$884736$	$1.739681$	$1073544204384256/16125$	$0.97030$	$4.18366$	$[0, 1, 0, -537533, 151510563]$	\(y^2=x^3+x^2-537533x+151510563\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 1032.24.0.?, $\ldots$	$[(1678257/44, 1565414703/44)]$
221880.d3	221880bc1	221880.d	221880bc	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$1$	$1$		$1$	$4257792$	$2.468987$	$1073544204384256/16125$	$0.97030$	$4.87003$	$[0, -1, 0, -9938991, -12057083220]$	\(y^2=x^3-x^2-9938991x-12057083220\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$	$[]$
252840.i3	252840i1	252840.i	252840i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$36120$	$48$	$0$	$1$	$4$	$2$	$1$	$884736$	$1.561342$	$1073544204384256/16125$	$0.97030$	$3.94339$	$[0, -1, 0, -263391, -51941784]$	\(y^2=x^3-x^2-263391x-51941784\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$	$[]$
443760.ca3	443760ca1	443760.ca	443760ca	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 43^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5160$	$48$	$0$	$61.69644902$	$1$		$1$	$8515584$	$2.468987$	$1073544204384256/16125$	$0.97030$	$4.61042$	$[0, 1, 0, -9938991, 12057083220]$	\(y^2=x^3+x^2-9938991x+12057083220\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 120.24.0.?, $\ldots$	$[(15286369547017721757697344316/2895555714723, 6085314496595925232318035466755518730952/2895555714723)]$