Elliptic curve search results

Results (26 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
1290.h1	1290g4	1290.h	1290g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$5160$	$96$	$1$	$1$	$1$		$0$	$2880$	$1.095774$	$15393836938735081/2275690697640$	$0.97892$	$5.20395$	$[1, 0, 1, -5183, -124342]$	\(y^2+xy+y=x^3-5183x-124342\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[]$
3870.s1	3870s4	3870.s	3870s	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{3} \cdot 3^{8} \cdot 5 \cdot 43^{6} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$5160$	$96$	$1$	$1$	$4$	$2$	$4$	$23040$	$1.645081$	$15393836938735081/2275690697640$	$0.97892$	$5.30981$	$[1, -1, 1, -46643, 3357227]$	\(y^2+xy+y=x^3-x^2-46643x+3357227\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[]$
6450.v1	6450w4	6450.v	6450w	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{7} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$0$	$69120$	$1.900494$	$15393836938735081/2275690697640$	$0.97892$	$5.35001$	$[1, 1, 1, -129563, -15542719]$	\(y^2+xy+y=x^3+x^2-129563x-15542719\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$	$[]$
10320.k1	10320v4	10320.k	10320v	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{2} \cdot 5 \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$5.281391270$	$1$		$3$	$69120$	$1.788921$	$15393836938735081/2275690697640$	$0.97892$	$4.93306$	$[0, -1, 0, -82920, 7957872]$	\(y^2=x^3-x^2-82920x+7957872\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$	$[(-158, 4134)]$
19350.l1	19350o4	19350.l	19350o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{8} \cdot 5^{7} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$0$	$552960$	$2.449799$	$15393836938735081/2275690697640$	$0.97892$	$5.42235$	$[1, -1, 0, -1166067, 418487341]$	\(y^2+xy=x^3-x^2-1166067x+418487341\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$	$[]$
30960.f1	30960bf4	30960.f	30960bf	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$2.966728132$	$1$		$3$	$552960$	$2.338226$	$15393836938735081/2275690697640$	$0.97892$	$5.04641$	$[0, 0, 0, -746283, -214116262]$	\(y^2=x^3-746283x-214116262\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$	$[(-539, 5616)]$
41280.s1	41280d4	41280.s	41280d	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{21} \cdot 3^{2} \cdot 5 \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$6.880609734$	$1$		$1$	$552960$	$2.135494$	$15393836938735081/2275690697640$	$0.97892$	$4.68092$	$[0, -1, 0, -331681, -63331295]$	\(y^2=x^3-x^2-331681x-63331295\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$	$[(-19799/7, 732096/7)]$
41280.by1	41280db4	41280.by	41280db	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 43 \)	\( 2^{21} \cdot 3^{2} \cdot 5 \cdot 43^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$2.818286870$	$1$		$9$	$552960$	$2.135494$	$15393836938735081/2275690697640$	$0.97892$	$4.68092$	$[0, 1, 0, -331681, 63331295]$	\(y^2=x^3+x^2-331681x+63331295\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.b.1, $\ldots$	$[(-569, 8256), (506, 5031)]$
51600.dq1	51600di4	51600.dq	51600di	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{15} \cdot 3^{2} \cdot 5^{7} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$1$	$1658880$	$2.593639$	$15393836938735081/2275690697640$	$0.97892$	$5.09130$	$[0, 1, 0, -2073008, 990587988]$	\(y^2=x^3+x^2-2073008x+990587988\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 40.6.0.b.1, $\ldots$	$[]$
55470.r1	55470t4	55470.r	55470t	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 43^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$7.922128163$	$1$		$2$	$5322240$	$2.976376$	$15393836938735081/2275690697640$	$0.97892$	$5.47804$	$[1, 1, 1, -9582481, 9847709639]$	\(y^2+xy+y=x^3+x^2-9582481x+9847709639\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 40.6.0.b.1, $\ldots$	$[(-1959, 146260)]$
63210.a1	63210g4	63210.a	63210g	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{6} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$36120$	$96$	$1$	$1.360382484$	$1$		$4$	$1036800$	$2.068729$	$15393836938735081/2275690697640$	$0.97892$	$4.42801$	$[1, 1, 0, -253943, 42395277]$	\(y^2+xy=x^3+x^2-253943x+42395277\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[(-111, 8376)]$
123840.eq1	123840gk4	123840.eq	123840gk	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{21} \cdot 3^{8} \cdot 5 \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$5.910117688$	$1$		$3$	$4423680$	$2.684799$	$15393836938735081/2275690697640$	$0.97892$	$4.80449$	$[0, 0, 0, -2985132, -1712930096]$	\(y^2=x^3-2985132x-1712930096\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 40.6.0.b.1, $\ldots$	$[(2864, 115020)]$
123840.fn1	123840cp4	123840.fn	123840cp	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{21} \cdot 3^{8} \cdot 5 \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$10.64688683$	$1$		$1$	$4423680$	$2.684799$	$15393836938735081/2275690697640$	$0.97892$	$4.80449$	$[0, 0, 0, -2985132, 1712930096]$	\(y^2=x^3-2985132x+1712930096\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0-6.a.1.3, $\ldots$	$[(3620/7, 13252408/7)]$
154800.em1	154800cy4	154800.em	154800cy	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{15} \cdot 3^{8} \cdot 5^{7} \cdot 43^{6} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$3.637272939$	$1$		$13$	$13271040$	$3.142948$	$15393836938735081/2275690697640$	$0.97892$	$5.17484$	$[0, 0, 0, -18657075, -26764532750]$	\(y^2=x^3-18657075x-26764532750\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 40.6.0.b.1, $\ldots$	$[(-2830, 58050), (8135, 599850)]$
156090.bs1	156090c4	156090.bs	156090c	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{6} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$56760$	$96$	$1$	$10.14671733$	$1$		$0$	$3110400$	$2.294724$	$15393836938735081/2275690697640$	$0.97892$	$4.32006$	$[1, 0, 0, -627085, 164871785]$	\(y^2+xy=x^3-627085x+164871785\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[(5227/6, 1878341/6)]$
166410.t1	166410bm4	166410.t	166410bm	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{3} \cdot 3^{8} \cdot 5 \cdot 43^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$9$	$3$	$0$	$42577920$	$3.525681$	$15393836938735081/2275690697640$	$0.97892$	$5.52574$	$[1, -1, 0, -86242329, -265974402587]$	\(y^2+xy=x^3-x^2-86242329x-265974402587\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.b.1, $\ldots$	$[]$
189630.ey1	189630r4	189630.ey	189630r	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$36120$	$96$	$1$	$1$	$1$		$0$	$8294400$	$2.618034$	$15393836938735081/2275690697640$	$0.97892$	$4.57012$	$[1, -1, 1, -2285492, -1146957969]$	\(y^2+xy+y=x^3-x^2-2285492x-1146957969\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[]$
206400.dp1	206400eu4	206400.dp	206400eu	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{7} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$1$		$1$	$13271040$	$2.940212$	$15393836938735081/2275690697640$	$0.97892$	$4.85440$	$[0, -1, 0, -8292033, 7932995937]$	\(y^2=x^3-x^2-8292033x+7932995937\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 40.6.0.b.1, $\ldots$	$[]$
206400.hc1	206400gs4	206400.hc	206400gs	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 43 \)	\( 2^{21} \cdot 3^{2} \cdot 5^{7} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$4.449286296$	$1$		$3$	$13271040$	$2.940212$	$15393836938735081/2275690697640$	$0.97892$	$4.85440$	$[0, 1, 0, -8292033, -7932995937]$	\(y^2=x^3+x^2-8292033x-7932995937\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[(-1587, 35100)]$
218010.bw1	218010k4	218010.bw	218010k	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{6} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$67080$	$96$	$1$	$1$	$1$		$0$	$6635520$	$2.378250$	$15393836938735081/2275690697640$	$0.97892$	$4.28418$	$[1, 0, 0, -875846, -272302980]$	\(y^2+xy=x^3-875846x-272302980\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[]$
277350.bs1	277350bs4	277350.bs	277350bs	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \)	\( 2^{3} \cdot 3^{2} \cdot 5^{7} \cdot 43^{12} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$12.88495424$	$1$		$0$	$127733760$	$3.781094$	$15393836938735081/2275690697640$	$0.97892$	$5.54507$	$[1, 0, 1, -239562026, 1231442828948]$	\(y^2+xy+y=x^3-239562026x+1231442828948\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.8, 40.6.0.b.1, $\ldots$	$[(137168103/62, 1467223102343/62)]$
316050.hm1	316050hm4	316050.hm	316050hm	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5^{7} \cdot 7^{6} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$36120$	$96$	$1$	$1$	$1$		$0$	$24883200$	$2.873447$	$15393836938735081/2275690697640$	$0.97892$	$4.62780$	$[1, 0, 0, -6348588, 5312106792]$	\(y^2+xy=x^3-6348588x+5312106792\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 105.8.0.?, $\ldots$	$[]$
372810.d1	372810d4	372810.d	372810d	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 17^{6} \cdot 43^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$87720$	$96$	$1$	$1$	$1$		$0$	$14929920$	$2.512383$	$15393836938735081/2275690697640$	$0.97892$	$4.23048$	$[1, 1, 0, -1497748, -609393272]$	\(y^2+xy=x^3+x^2-1497748x-609393272\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 51.8.0-3.a.1.1, $\ldots$	$[]$
443760.ch1	443760ch4	443760.ch	443760ch	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \)	\( 2^{15} \cdot 3^{2} \cdot 5 \cdot 43^{12} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$5160$	$96$	$1$	$1$	$9$	$3$	$1$	$127733760$	$3.669521$	$15393836938735081/2275690697640$	$0.97892$	$5.24168$	$[0, 1, 0, -153319696, -630560056300]$	\(y^2=x^3+x^2-153319696x-630560056300\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 40.6.0.b.1, $\ldots$	$[]$
465690.ce1	465690ce4	465690.ce	465690ce	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 19^{6} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$98040$	$96$	$1$	$3.454923135$	$1$		$0$	$20528640$	$2.567993$	$15393836938735081/2275690697640$	$0.97892$	$4.20950$	$[1, 1, 1, -1870890, 849118287]$	\(y^2+xy+y=x^3+x^2-1870890x+849118287\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 57.8.0-3.a.1.2, $\ldots$	$[(1175/2, 143043/2)]$
468270.d1	468270d4	468270.d	468270d	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{3} \cdot 3^{8} \cdot 5 \cdot 11^{6} \cdot 43^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$56760$	$96$	$1$	$9.097585806$	$1$		$0$	$24883200$	$2.844028$	$15393836938735081/2275690697640$	$0.97892$	$4.46141$	$[1, -1, 0, -5643765, -4451538195]$	\(y^2+xy=x^3-x^2-5643765x-4451538195\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[(41079/2, 8041047/2)]$