Elliptic curves over $\Q$ of conductor 6378

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

Results (8 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
6378.a1	6378a1	6378.a	6378a	$1$	$1$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2^{11} \cdot 3^{2} \cdot 1063 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8504$	$2$	$0$	$0.111897103$	$1$		$26$	$3168$	$0.156779$	$-351447414193/19593216$	$0.98401$	$3.04514$	$1$	$[1, 1, 1, -147, 657]$	\(y^2+xy+y=x^3+x^2-147x+657\)	8504.2.0.?	$[(7, 2), (3, 14)]$	$1$
6378.b1	6378b1	6378.b	6378b	$1$	$1$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2 \cdot 3^{4} \cdot 1063 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8504$	$2$	$0$	$2.898134631$	$1$		$0$	$800$	$-0.223731$	$-4750104241/172206$	$0.94489$	$2.55030$	$1$	$[1, 1, 1, -35, -97]$	\(y^2+xy+y=x^3+x^2-35x-97\)	8504.2.0.?	$[(39/2, 155/2)]$	$1$
6378.c1	6378d1	6378.c	6378d	$1$	$1$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2^{5} \cdot 3^{10} \cdot 1063 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$8504$	$2$	$0$	$0.191394324$	$1$		$8$	$4000$	$0.464209$	$6549699311/2008610784$	$0.93960$	$3.29584$	$1$	$[1, 0, 0, 39, -2151]$	\(y^2+xy=x^3+39x-2151\)	8504.2.0.?	$[(30, 147)]$	$1$
6378.d1	6378c1	6378.d	6378c	$2$	$7$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2^{21} \cdot 3^{14} \cdot 1063 \)	$1$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$59528$	$96$	$2$	$2.883891156$	$1$		$14$	$98784$	$2.132988$	$-165745346665991446425889/10662541623558144$	$1.00282$	$6.10287$	$1$	$[1, 0, 0, -1144386, 471132612]$	\(y^2+xy=x^3-1144386x+471132612\)	7.48.0-7.a.1.2, 8504.2.0.?, 59528.96.2.?	$[(596, 638)]$	$1$
6378.d2	6378c2	6378.d	6378c	$2$	$7$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2^{3} \cdot 3^{2} \cdot 1063^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.5	7B.1.3	$59528$	$96$	$2$	$20.18723809$	$1$		$0$	$691488$	$3.105942$	$53900230693869615719525471/110424476261224735356024$	$1.03263$	$6.86954$	$1$	$[1, 0, 0, 7869654, -13542161508]$	\(y^2+xy=x^3+7869654x-13542161508\)	7.48.0-7.a.2.2, 8504.2.0.?, 59528.96.2.?	$[(645241094/385, 18209210581052/385)]$	$1$
6378.e1	6378e1	6378.e	6378e	$1$	$1$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2^{3} \cdot 3^{5} \cdot 1063 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$25512$	$2$	$0$	$0.425362956$	$1$		$4$	$1440$	$-0.106140$	$-192100033/2066472$	$0.84339$	$2.51677$	$1$	$[1, 0, 0, -12, -72]$	\(y^2+xy=x^3-12x-72\)	25512.2.0.?	$[(6, 6)]$	$1$
6378.f1	6378f2	6378.f	6378f	$2$	$3$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2^{5} \cdot 3^{4} \cdot 1063^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$25512$	$16$	$0$	$1$	$1$		$0$	$50400$	$1.792173$	$-17134627404681225465697/3113399065824$	$0.99557$	$5.84382$	$1$	$[1, 0, 0, -537094, -151548604]$	\(y^2+xy=x^3-537094x-151548604\)	3.8.0-3.a.1.1, 8504.2.0.?, 25512.16.0.?	$[ ]$	$1$
6378.f2	6378f1	6378.f	6378f	$2$	$3$	\( 2 \cdot 3 \cdot 1063 \)	\( - 2^{15} \cdot 3^{12} \cdot 1063 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$25512$	$16$	$0$	$1$	$1$		$2$	$16800$	$1.242868$	$-20849781676074337/18511356985344$	$0.99774$	$4.39536$	$1$	$[1, 0, 0, -5734, -266524]$	\(y^2+xy=x^3-5734x-266524\)	3.8.0-3.a.1.2, 8504.2.0.?, 25512.16.0.?	$[ ]$	$1$

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