Elliptic curves over $\Q$ of conductor 63870

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (18 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
63870.a1	63870a1	63870.a	63870a	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{10} \cdot 3^{7} \cdot 5^{5} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$63870$	$2$	$0$	$6.474883923$	$1$		$0$	$145600$	$1.227722$	$-21173239699787449/14899593600000$	$0.89713$	$3.46937$	$1$	$[1, 1, 0, -5763, -253107]$	\(y^2+xy=x^3+x^2-5763x-253107\)	63870.2.0.?	$[(3238/3, 175063/3)]$	$1$
63870.b1	63870b1	63870.b	63870b	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{2} \cdot 3 \cdot 5^{3} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$127740$	$2$	$0$	$0.481281057$	$1$		$4$	$15552$	$0.057931$	$257380823881/3193500$	$0.79742$	$2.37458$	$1$	$[1, 1, 0, -132, -636]$	\(y^2+xy=x^3+x^2-132x-636\)	127740.2.0.?	$[(-7, 6)]$	$1$
63870.c1	63870c1	63870.c	63870c	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$17032$	$2$	$0$	$1.279403934$	$1$		$4$	$308160$	$1.430573$	$-761851506209375161/121253203125000$	$0.91031$	$3.74324$	$1$	$[1, 1, 0, -19027, -1148651]$	\(y^2+xy=x^3+x^2-19027x-1148651\)	17032.2.0.?	$[(163, 256)]$	$1$
63870.d1	63870d1	63870.d	63870d	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{22} \cdot 3^{23} \cdot 5^{2} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$12774$	$2$	$0$	$0.549485701$	$1$		$4$	$12241152$	$3.428921$	$-1643804672926946736767718265849/21016695561014004940800$	$1.00769$	$6.28803$	$1$	$[1, 0, 1, -245871864, 1483918891462]$	\(y^2+xy+y=x^3-245871864x+1483918891462\)	12774.2.0.?	$[(8201, 134139)]$	$1$
63870.e1	63870e1	63870.e	63870e	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2 \cdot 3^{2} \cdot 5^{2} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$17032$	$2$	$0$	$1.677185687$	$1$		$2$	$14400$	$-0.113356$	$-9116230969/958050$	$0.76341$	$2.08776$	$1$	$[1, 0, 1, -44, -124]$	\(y^2+xy+y=x^3-44x-124\)	17032.2.0.?	$[(8, 3)]$	$1$
63870.f1	63870f1	63870.f	63870f	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$63870$	$2$	$0$	$0.117448894$	$1$		$10$	$1059840$	$1.950991$	$-96691208992076595414601/33524085600000$	$0.95933$	$4.78334$	$1$	$[1, 0, 1, -956213, 359818688]$	\(y^2+xy+y=x^3-956213x+359818688\)	63870.2.0.?	$[(579, 310)]$	$1$
63870.g1	63870g1	63870.g	63870g	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$127740$	$2$	$0$	$0.425885460$	$1$		$4$	$20160$	$0.192892$	$10591472326681/1149660$	$0.83177$	$2.71054$	$1$	$[1, 0, 1, -458, 3728]$	\(y^2+xy+y=x^3-458x+3728\)	127740.2.0.?	$[(12, -5)]$	$1$
63870.h1	63870h1	63870.h	63870h	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{14} \cdot 3^{6} \cdot 5^{7} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$42580$	$2$	$0$	$0.521152196$	$1$		$6$	$479808$	$1.656967$	$-9406237522446759961/1986612480000000$	$0.92383$	$3.97656$	$1$	$[1, 0, 1, -43978, -4150852]$	\(y^2+xy+y=x^3-43978x-4150852\)	42580.2.0.?	$[(349, 4625)]$	$1$
63870.i1	63870i1	63870.i	63870i	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{2} \cdot 3 \cdot 5 \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$63870$	$2$	$0$	$1.864518102$	$1$		$2$	$8800$	$-0.330858$	$214921799/127740$	$0.76096$	$1.73398$	$1$	$[1, 0, 1, 12, -2]$	\(y^2+xy+y=x^3+12x-2\)	63870.2.0.?	$[(7, 17)]$	$1$
63870.j1	63870j1	63870.j	63870j	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 2129 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$63870$	$2$	$0$	$1$	$1$		$0$	$28800$	$0.408799$	$-1027243729/1034694000$	$0.87924$	$2.54981$	$1$	$[1, 1, 1, -21, -1557]$	\(y^2+xy+y=x^3+x^2-21x-1557\)	63870.2.0.?	$[ ]$	$1$
63870.k1	63870k1	63870.k	63870k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 2129 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$17032$	$12$	$0$	$5.972513600$	$1$		$1$	$409600$	$1.583080$	$2724974712220016881009/34920922500$	$0.94562$	$4.46078$	$1$	$[1, 1, 1, -290991, 60296913]$	\(y^2+xy+y=x^3+x^2-290991x+60296913\)	2.3.0.a.1, 8.6.0.d.1, 4258.6.0.?, 17032.12.0.?	$[(17551/7, 445136/7)]$	$1$
63870.k2	63870k2	63870.k	63870k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2 \cdot 3^{16} \cdot 5^{2} \cdot 2129^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.5	2B	$17032$	$12$	$0$	$11.94502720$	$1$		$0$	$819200$	$1.929653$	$-2717957397066113485009/9755766626008050$	$0.94567$	$4.46110$	$1$	$[1, 1, 1, -290741, 60406013]$	\(y^2+xy+y=x^3+x^2-290741x+60406013\)	2.3.0.a.1, 8.6.0.a.1, 8516.6.0.?, 17032.12.0.?	$[(9048017/184, 7711770371/184)]$	$1$
63870.l1	63870l1	63870.l	63870l	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{16} \cdot 3 \cdot 5 \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$127740$	$2$	$0$	$0.427489939$	$1$		$6$	$34304$	$0.564113$	$67922306042401/2092892160$	$0.84754$	$2.87849$	$1$	$[1, 1, 1, -850, 8927]$	\(y^2+xy+y=x^3+x^2-850x+8927\)	127740.2.0.?	$[(25, 51)]$	$1$
63870.m1	63870m1	63870.m	63870m	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{22} \cdot 3^{11} \cdot 5 \cdot 2129 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$127740$	$2$	$0$	$0.147119754$	$1$		$30$	$766656$	$1.930111$	$3323778408256192549489/7909324105973760$	$0.94646$	$4.47873$	$1$	$[1, 0, 0, -310911, 66563865]$	\(y^2+xy=x^3-310911x+66563865\)	127740.2.0.?	$[(-474, 10605), (390, 1965)]$	$1$
63870.n1	63870n1	63870.n	63870n	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{8} \cdot 3^{5} \cdot 5^{5} \cdot 2129 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$127740$	$2$	$0$	$0.090427864$	$1$		$34$	$160000$	$0.928677$	$1099136719029601/413877600000$	$0.87902$	$3.13010$	$1$	$[1, 0, 0, -2150, 22500]$	\(y^2+xy=x^3-2150x+22500\)	127740.2.0.?	$[(100, 850), (-20, 250)]$	$1$
63870.o1	63870p2	63870.o	63870p	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{4} \cdot 3 \cdot 5 \cdot 2129^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$894180$	$96$	$2$	$19.38322062$	$1$		$0$	$30425472$	$3.931877$	$269482504024993568727413630831041/47581800502396103180402160$	$1.01885$	$6.74891$	$1$	$[1, 0, 0, -1345660860, -18997123438560]$	\(y^2+xy=x^3-1345660860x-18997123438560\)	7.48.0-7.a.2.2, 127740.2.0.?, 894180.96.2.?	$[(314783078/77, 3500934679768/77)]$	$1$
63870.o2	63870p1	63870.o	63870p	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( 2^{28} \cdot 3^{7} \cdot 5^{7} \cdot 2129 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$894180$	$96$	$2$	$2.769031518$	$1$		$16$	$4346496$	$2.958923$	$5105817686570071165887579841/97645976616960000000$	$0.99329$	$5.76615$	$1$	$[1, 0, 0, -35874060, 82698195600]$	\(y^2+xy=x^3-35874060x+82698195600\)	7.48.0-7.a.1.2, 127740.2.0.?, 894180.96.2.?	$[(3470, -1360)]$	$1$
63870.p1	63870o1	63870.p	63870o	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 2129 \)	\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 2129 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$12774$	$2$	$0$	$1.009116472$	$1$		$2$	$18432$	$0.180207$	$-7088952961/63870000$	$0.81254$	$2.30368$	$1$	$[1, 0, 0, -40, -400]$	\(y^2+xy=x^3-40x-400\)	12774.2.0.?	$[(10, 10)]$	$1$

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