Elliptic curve search results

Results (22 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
6930.n2	6930e2	6930.n	6930e	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$4620$	$96$	$1$	$0.815343269$	$1$		$20$	$13824$	$1.025055$	$1917114236485083/7117764500$	$0.99287$	$4.35178$	$[1, -1, 0, -7764, 264420]$	\(y^2+xy=x^3-x^2-7764x+264420\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.r.1.16, 924.48.0.?, $\ldots$	$[(46, 32)]$
6930.ba1	6930t4	6930.ba	6930t	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$4620$	$96$	$1$	$1$	$1$		$0$	$41472$	$1.574360$	$1917114236485083/7117764500$	$0.99287$	$5.09714$	$[1, -1, 1, -69878, -7069463]$	\(y^2+xy+y=x^3-x^2-69878x-7069463\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.r.1.8, 924.48.0.?, $\ldots$	$[]$
34650.m1	34650b4	34650.m	34650b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7^{6} \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$3.080252924$	$1$		$16$	$995328$	$2.379078$	$1917114236485083/7117764500$	$0.99287$	$5.23615$	$[1, -1, 0, -1746942, -885429784]$	\(y^2+xy=x^3-x^2-1746942x-885429784\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 15.8.0-3.a.1.1, $\ldots$	$[(-761, 2068), (2614, 110068)]$
34650.co2	34650ck2	34650.co	34650ck	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$0$	$331776$	$1.829773$	$1917114236485083/7117764500$	$0.99287$	$4.60555$	$[1, -1, 1, -194105, 32858397]$	\(y^2+xy+y=x^3-x^2-194105x+32858397\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 15.8.0-3.a.1.2, $\ldots$	$[]$
48510.e2	48510c2	48510.e	48510c	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{12} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$0$	$663552$	$1.998011$	$1917114236485083/7117764500$	$0.99287$	$4.64904$	$[1, -1, 0, -380445, -89935175]$	\(y^2+xy=x^3-x^2-380445x-89935175\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$	$[]$
48510.dv1	48510ci4	48510.dv	48510ci	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{12} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1.932682111$	$1$		$4$	$1990656$	$2.547318$	$1917114236485083/7117764500$	$0.99287$	$5.25997$	$[1, -1, 1, -3424007, 2431673731]$	\(y^2+xy+y=x^3-x^2-3424007x+2431673731\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$	$[(499, 28856)]$
55440.s1	55440bt4	55440.s	55440bt	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$1$	$995328$	$2.267509$	$1917114236485083/7117764500$	$0.99287$	$4.88827$	$[0, 0, 0, -1118043, 453563658]$	\(y^2=x^3-1118043x+453563658\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0-6.a.1.3, $\ldots$	$[]$
55440.dp2	55440ch2	55440.dp	55440ch	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$1$	$331776$	$1.718203$	$1917114236485083/7117764500$	$0.99287$	$4.28481$	$[0, 0, 0, -124227, -16798654]$	\(y^2=x^3-124227x-16798654\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$	$[]$
76230.d1	76230b4	76230.d	76230b	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$0$	$4976640$	$2.773308$	$1917114236485083/7117764500$	$0.99287$	$5.28972$	$[1, -1, 0, -8455200, 9434820500]$	\(y^2+xy=x^3-x^2-8455200x+9434820500\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 60.24.0.r.1, $\ldots$	$[]$
76230.ed2	76230cz2	76230.ed	76230cz	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$0$	$1658880$	$2.224003$	$1917114236485083/7117764500$	$0.99287$	$4.70335$	$[1, -1, 1, -939467, -349124641]$	\(y^2+xy+y=x^3-x^2-939467x-349124641\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 60.24.0.r.1, $\ldots$	$[]$
221760.l2	221760hj2	221760.l	221760hj	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9240$	$96$	$1$	$1$	$1$		$1$	$2654208$	$2.064774$	$1917114236485083/7117764500$	$0.99287$	$4.14011$	$[0, 0, 0, -496908, -134389232]$	\(y^2=x^3-496908x-134389232\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.r.1, $\ldots$	$[]$
221760.fh2	221760ni2	221760.fh	221760ni	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9240$	$96$	$1$	$0.717988257$	$1$		$9$	$2654208$	$2.064774$	$1917114236485083/7117764500$	$0.99287$	$4.14011$	$[0, 0, 0, -496908, 134389232]$	\(y^2=x^3-496908x+134389232\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.r.1, $\ldots$	$[(94, 9408)]$
221760.ja1	221760gg4	221760.ja	221760gg	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9240$	$96$	$1$	$1$	$1$		$1$	$7962624$	$2.614082$	$1917114236485083/7117764500$	$0.99287$	$4.67561$	$[0, 0, 0, -4472172, 3628509264]$	\(y^2=x^3-4472172x+3628509264\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.r.1, $\ldots$	$[]$
221760.lj1	221760ms4	221760.lj	221760ms	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9240$	$96$	$1$	$1.340244372$	$1$		$7$	$7962624$	$2.614082$	$1917114236485083/7117764500$	$0.99287$	$4.67561$	$[0, 0, 0, -4472172, -3628509264]$	\(y^2=x^3-4472172x-3628509264\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.r.1, $\ldots$	$[(-1178, 2240)]$
242550.gv1	242550gv4	242550.gv	242550gv	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7^{12} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$4.045961723$	$1$		$2$	$47775744$	$3.352036$	$1917114236485083/7117764500$	$0.99287$	$5.35603$	$[1, -1, 0, -85600167, 303873616241]$	\(y^2+xy=x^3-x^2-85600167x+303873616241\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$	$[(15724, 1678963)]$
242550.jz2	242550jz2	242550.jz	242550jz	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 7^{12} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$4.544346097$	$1$		$0$	$15925248$	$2.802727$	$1917114236485083/7117764500$	$0.99287$	$4.82440$	$[1, -1, 1, -9511130, -11251408003]$	\(y^2+xy+y=x^3-x^2-9511130x-11251408003\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$	$[(35641/3, 3045775/3)]$
277200.ic1	277200ic4	277200.ic	277200ic	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{9} \cdot 7^{6} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1.168126296$	$1$		$7$	$23887872$	$3.072227$	$1917114236485083/7117764500$	$0.99287$	$5.03104$	$[0, 0, 0, -27951075, 56695457250]$	\(y^2=x^3-27951075x+56695457250\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 60.48.0-60.r.1.1, 924.48.0.?, $\ldots$	$[(3295, 19250)]$
277200.mb2	277200mb2	277200.mb	277200mb	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 7^{6} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$1$	$7962624$	$2.522923$	$1917114236485083/7117764500$	$0.99287$	$4.50508$	$[0, 0, 0, -3105675, -2099831750]$	\(y^2=x^3-3105675x-2099831750\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 60.48.0-60.r.1.9, 924.48.0.?, $\ldots$	$[]$
381150.gq2	381150gq2	381150.gq	381150gq	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 7^{6} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1.957216715$	$1$		$4$	$39813120$	$3.028721$	$1917114236485083/7117764500$	$0.99287$	$4.86574$	$[1, -1, 0, -23486667, -43664066759]$	\(y^2+xy=x^3-x^2-23486667x-43664066759\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$	$[(-2802, 13259)]$
381150.pu1	381150pu4	381150.pu	381150pu	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7^{6} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$0$	$119439360$	$3.578026$	$1917114236485083/7117764500$	$0.99287$	$5.37868$	$[1, -1, 1, -211380005, 1179141182497]$	\(y^2+xy+y=x^3-x^2-211380005x+1179141182497\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$	$[]$
388080.fj2	388080fj2	388080.fj	388080fj	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 7^{12} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$1$	$15925248$	$2.691158$	$1917114236485083/7117764500$	$0.99287$	$4.54416$	$[0, 0, 0, -6087123, 5761938322]$	\(y^2=x^3-6087123x+5761938322\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$	$[]$
388080.ik1	388080ik4	388080.ik	388080ik	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 7^{12} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$4620$	$96$	$1$	$1$	$1$		$1$	$47775744$	$3.240463$	$1917114236485083/7117764500$	$0.99287$	$5.05638$	$[0, 0, 0, -54784107, -155572334694]$	\(y^2=x^3-54784107x-155572334694\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.r.1, 84.24.0.?, $\ldots$	$[]$