Elliptic curve search results

Results (24 matches)

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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
14520.n1	14520bi1	14520.n	14520bi	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5 \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$154560$	$1.954390$	$218902267299584/470715894135$	$1.06663$	$4.83998$	$[0, -1, 0, 77400, -13684383]$	\(y^2=x^3-x^2+77400x-13684383\)	30.2.0.a.1	$[ ]$
14520.x1	14520l1	14520.x	14520l	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$36.77470387$	$1$		$0$	$1700160$	$3.153336$	$218902267299584/470715894135$	$1.06663$	$6.34128$	$[0, -1, 0, 9365360, 18176452285]$	\(y^2=x^3-x^2+9365360x+18176452285\)	30.2.0.a.1	$[(-4139366845417614/1798859, 372782957005030290475165/1798859)]$
29040.cv1	29040bq1	29040.cv	29040bq	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$3400320$	$3.153336$	$218902267299584/470715894135$	$1.06663$	$5.91356$	$[0, 1, 0, 9365360, -18176452285]$	\(y^2=x^3+x^2+9365360x-18176452285\)	30.2.0.a.1	$[ ]$
29040.dq1	29040bo1	29040.dq	29040bo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5 \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$309120$	$1.954390$	$218902267299584/470715894135$	$1.06663$	$4.51352$	$[0, 1, 0, 77400, 13684383]$	\(y^2=x^3+x^2+77400x+13684383\)	30.2.0.a.1	$[ ]$
43560.d1	43560r1	43560.d	43560r	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$6.857181630$	$1$		$2$	$1236480$	$2.503696$	$218902267299584/470715894135$	$1.06663$	$4.95929$	$[0, 0, 0, 696597, 368781743]$	\(y^2=x^3+696597x+368781743\)	30.2.0.a.1	$[(3463, 210501)]$
43560.bb1	43560by1	43560.bb	43560by	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$25$	$5$	$0$	$13601280$	$3.702644$	$218902267299584/470715894135$	$1.06663$	$6.30618$	$[0, 0, 0, 84288237, -490848499933]$	\(y^2=x^3+84288237x-490848499933\)	30.2.0.a.1	$[ ]$
72600.cj1	72600ef1	72600.cj	72600ef	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5^{7} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$40803840$	$3.958054$	$218902267299584/470715894135$	$1.06663$	$6.29221$	$[0, 1, 0, 234133992, 2272524803613]$	\(y^2=x^3+x^2+234133992x+2272524803613\)	30.2.0.a.1	$[ ]$
72600.eh1	72600bs1	72600.eh	72600bs	$1$	$1$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5^{7} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$0.416226697$	$1$		$6$	$3709440$	$2.759109$	$218902267299584/470715894135$	$1.06663$	$5.00678$	$[0, 1, 0, 1934992, -1706677887]$	\(y^2=x^3+x^2+1934992x-1706677887\)	30.2.0.a.1	$[(3472, 216513)]$
87120.b1	87120bl1	87120.b	87120bl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$24.84902160$	$1$		$0$	$27202560$	$3.702644$	$218902267299584/470715894135$	$1.06663$	$5.92191$	$[0, 0, 0, 84288237, 490848499933]$	\(y^2=x^3+84288237x+490848499933\)	30.2.0.a.1	$[(87646104972644/49127, 850420225039035621537/49127)]$
87120.cy1	87120bh1	87120.cy	87120bh	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$6.597854556$	$1$		$0$	$2472960$	$2.503696$	$218902267299584/470715894135$	$1.06663$	$4.65709$	$[0, 0, 0, 696597, -368781743]$	\(y^2=x^3+696597x-368781743\)	30.2.0.a.1	$[(2398616/73, 2332494549/73)]$
116160.g1	116160fx1	116160.g	116160fx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{23} \cdot 5 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$114.0631195$	$1$		$0$	$27202560$	$3.499908$	$218902267299584/470715894135$	$1.06663$	$5.56724$	$[0, -1, 0, 37461439, -145449079719]$	\(y^2=x^3-x^2+37461439x-145449079719\)	30.2.0.a.1	$[(33025606867487886333118566003689477601794046840520/20403261257694011855191, 190326508068877930984493212414962301780948303831350350653460778051497361599/20403261257694011855191)]$
116160.cd1	116160fw1	116160.cd	116160fw	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{23} \cdot 5 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$12.70911235$	$1$		$0$	$2472960$	$2.300961$	$218902267299584/470715894135$	$1.06663$	$4.33362$	$[0, -1, 0, 309599, 109165465]$	\(y^2=x^3-x^2+309599x+109165465\)	30.2.0.a.1	$[(-585384/47, 301661041/47)]$
116160.ey1	116160dt1	116160.ey	116160dt	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{23} \cdot 5 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$2.331868793$	$1$		$2$	$2472960$	$2.300961$	$218902267299584/470715894135$	$1.06663$	$4.33362$	$[0, 1, 0, 309599, -109165465]$	\(y^2=x^3+x^2+309599x-109165465\)	30.2.0.a.1	$[(1826, 80919)]$
116160.hb1	116160dp1	116160.hb	116160dp	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{23} \cdot 5 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$8.356626417$	$1$		$0$	$27202560$	$3.499908$	$218902267299584/470715894135$	$1.06663$	$5.56724$	$[0, 1, 0, 37461439, 145449079719]$	\(y^2=x^3+x^2+37461439x+145449079719\)	30.2.0.a.1	$[(2235874/5, 3351444093/5)]$
145200.h1	145200jo1	145200.h	145200jo	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5^{7} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$9$	$3$	$0$	$7418880$	$2.759109$	$218902267299584/470715894135$	$1.06663$	$4.71480$	$[0, -1, 0, 1934992, 1706677887]$	\(y^2=x^3-x^2+1934992x+1706677887\)	30.2.0.a.1	$[ ]$
145200.fk1	145200la1	145200.fk	145200la	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{23} \cdot 5^{7} \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$49$	$7$	$0$	$81607680$	$3.958054$	$218902267299584/470715894135$	$1.06663$	$5.92526$	$[0, -1, 0, 234133992, -2272524803613]$	\(y^2=x^3-x^2+234133992x-2272524803613\)	30.2.0.a.1	$[ ]$
217800.r1	217800et1	217800.r	217800et	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5^{7} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$15.45549743$	$1$		$0$	$326430720$	$4.507362$	$218902267299584/470715894135$	$1.06663$	$6.26609$	$[0, 0, 0, 2107205925, -61356062491625]$	\(y^2=x^3+2107205925x-61356062491625\)	30.2.0.a.1	$[(23555955/29, 108084526475/29)]$
217800.go1	217800cr1	217800.go	217800cr	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5^{7} \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$29675520$	$3.308414$	$218902267299584/470715894135$	$1.06663$	$5.09556$	$[0, 0, 0, 17414925, 46097717875]$	\(y^2=x^3+17414925x+46097717875\)	30.2.0.a.1	$[ ]$
348480.ji1	348480ji1	348480.ji	348480ji	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{29} \cdot 5 \cdot 11^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$1$		$0$	$19783680$	$2.850269$	$218902267299584/470715894135$	$1.06663$	$4.47708$	$[0, 0, 0, 2786388, 2950253944]$	\(y^2=x^3+2786388x+2950253944\)	30.2.0.a.1	$[ ]$
348480.jo1	348480jo1	348480.jo	348480jo	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{29} \cdot 5 \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$148.6623296$	$1$		$0$	$217620480$	$4.049217$	$218902267299584/470715894135$	$1.06663$	$5.60449$	$[0, 0, 0, 337152948, 3926787999464]$	\(y^2=x^3+337152948x+3926787999464\)	30.2.0.a.1	$[(78800716664759437056215381569108949949706609306805141178940952221/1469281291460697913132168243585, 25546812680424976070717699954060012860200052507535998024306391026688945031072652273999706393742231/1469281291460697913132168243585)]$
348480.qw1	348480qw1	348480.qw	348480qw	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{29} \cdot 5 \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$70.53545614$	$1$		$0$	$19783680$	$2.850269$	$218902267299584/470715894135$	$1.06663$	$4.47708$	$[0, 0, 0, 2786388, -2950253944]$	\(y^2=x^3+2786388x-2950253944\)	30.2.0.a.1	$[(12695754663818430442688842929109/14735420224267, 45254470694512286319038155533924738686731517595/14735420224267)]$
348480.rc1	348480rc1	348480.rc	348480rc	$1$	$1$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 3^{29} \cdot 5 \cdot 11^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$1$	$49$	$7$	$0$	$217620480$	$4.049217$	$218902267299584/470715894135$	$1.06663$	$5.60449$	$[0, 0, 0, 337152948, -3926787999464]$	\(y^2=x^3+337152948x-3926787999464\)	30.2.0.a.1	$[ ]$
435600.bj1	435600bj1	435600.bj	435600bj	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5^{7} \cdot 11^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$6.662634224$	$1$		$0$	$59351040$	$3.308414$	$218902267299584/470715894135$	$1.06663$	$4.82354$	$[0, 0, 0, 17414925, -46097717875]$	\(y^2=x^3+17414925x-46097717875\)	30.2.0.a.1	$[(76945/2, 21772575/2)]$
435600.tl1	435600tl1	435600.tl	435600tl	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( - 2^{4} \cdot 3^{29} \cdot 5^{7} \cdot 11^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$30$	$2$	$0$	$69.97037990$	$1$		$0$	$652861440$	$4.507362$	$218902267299584/470715894135$	$1.06663$	$5.93159$	$[0, 0, 0, 2107205925, 61356062491625]$	\(y^2=x^3+2107205925x+61356062491625\)	30.2.0.a.1	$[(-16120723541550181660100631094655/29858598468436, 110854363974110773670810194048864407774138314175/29858598468436)]$

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