Elliptic curves over $\Q$ of conductor 980

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

Results (15 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	Manin constant
980.a1	980b1	980.a	980b	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$1008$	$0.584369$	$-3024/5$	$0.61638$	$4.42490$	$[0, 0, 0, -343, -4802]$	\(y^2=x^3-343x-4802\)	20.2.0.a.1	$[ ]$	$1$
980.b1	980i1	980.b	980i	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{11} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$2880$	$1.061888$	$14155776/84035$	$1.21697$	$5.21401$	$[0, 0, 0, 1568, -72716]$	\(y^2=x^3+1568x-72716\)	70.2.0.a.1	$[ ]$	$1$
980.c1	980d2	980.c	980d	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$210$	$16$	$0$	$0.507984770$	$1$		$2$	$1728$	$1.230503$	$-225637236736/1715$	$1.02937$	$6.29583$	$[0, -1, 0, -39461, 3030385]$	\(y^2=x^3-x^2-39461x+3030385\)	3.4.0.a.1, 21.8.0-3.a.1.2, 30.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.?	$[(96, 343)]$	$1$
980.c2	980d1	980.c	980d	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$210$	$16$	$0$	$0.169328256$	$1$		$8$	$576$	$0.681196$	$-65536/875$	$0.97204$	$4.57231$	$[0, -1, 0, -261, 8065]$	\(y^2=x^3-x^2-261x+8065\)	3.4.0.a.1, 21.8.0-3.a.1.1, 30.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.?	$[(-9, 98)]$	$1$
980.d1	980e1	980.d	980e	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$672$	$0.744844$	$8192/5$	$0.91737$	$4.65612$	$[0, -1, 0, 915, 2185]$	\(y^2=x^3-x^2+915x+2185\)	70.2.0.a.1	$[ ]$	$1$
980.e1	980f1	980.e	980f	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.2	3B	$1260$	$144$	$2$	$1$	$1$		$0$	$3024$	$1.422342$	$-177953104/125$	$0.92344$	$6.38870$	$[0, -1, 0, -48820, -4138168]$	\(y^2=x^3-x^2-48820x-4138168\)	3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 21.8.0-3.a.1.1, 60.8.0.a.1, $\ldots$	$[ ]$	$1$
980.e2	980f2	980.e	980f	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.12.0.2	3B	$1260$	$144$	$2$	$1$	$1$		$0$	$9072$	$1.971649$	$161017136/1953125$	$1.00966$	$6.80867$	$[0, -1, 0, 47220, -17660600]$	\(y^2=x^3-x^2+47220x-17660600\)	3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 21.8.0-3.a.1.2, 60.8.0.a.1, $\ldots$	$[ ]$	$1$
980.f1	980c1	980.f	980c	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.753634946$	$1$		$2$	$96$	$-0.228111$	$8192/5$	$0.91737$	$2.96097$	$[0, 1, 0, 19, -1]$	\(y^2=x^3+x^2+19x-1\)	70.2.0.a.1	$[(2, 7)]$	$1$
980.g1	980a1	980.g	980a	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{4} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.2	3B.1.1	$1260$	$144$	$2$	$1$	$1$		$2$	$432$	$0.449388$	$-177953104/125$	$0.92344$	$4.69355$	$[0, 1, 0, -996, 11780]$	\(y^2=x^3+x^2-996x+11780\)	3.8.0-3.a.1.2, 9.24.0-9.b.1.2, 20.2.0.a.1, 60.16.0-60.a.1.8, 63.72.0-63.h.2.4, $\ldots$	$[ ]$	$1$
980.g2	980a2	980.g	980a	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	9.24.0.4	3B.1.2	$1260$	$144$	$2$	$1$	$1$		$0$	$1296$	$0.998693$	$161017136/1953125$	$1.00966$	$5.11351$	$[0, 1, 0, 964, 51764]$	\(y^2=x^3+x^2+964x+51764\)	3.8.0-3.a.1.1, 9.24.0-9.b.1.1, 20.2.0.a.1, 60.16.0-60.a.1.5, 63.72.0-63.h.1.2, $\ldots$	$[ ]$	$1$
980.h1	980g3	980.h	980g	$4$	$6$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( 2^{4} \cdot 5^{3} \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$840$	$384$	$9$	$1$	$1$		$1$	$540$	$0.592311$	$488095744/125$	$1.07376$	$5.00237$	$[0, -1, 0, -2025, 35750]$	\(y^2=x^3-x^2-2025x+35750\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[ ]$	$1$
980.h2	980g4	980.h	980g	$4$	$6$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{6} \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$840$	$384$	$9$	$1$	$1$		$1$	$1080$	$0.938885$	$-20720464/15625$	$0.95894$	$5.06733$	$[0, -1, 0, -1780, 44472]$	\(y^2=x^3-x^2-1780x+44472\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[ ]$	$1$
980.h3	980g1	980.h	980g	$4$	$6$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( 2^{4} \cdot 5 \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$840$	$384$	$9$	$1$	$1$		$1$	$180$	$0.043005$	$16384/5$	$0.95621$	$3.50663$	$[0, -1, 0, -65, -118]$	\(y^2=x^3-x^2-65x-118\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[ ]$	$1$
980.h4	980g2	980.h	980g	$4$	$6$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5^{2} \cdot 7^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$840$	$384$	$9$	$1$	$1$		$1$	$360$	$0.389578$	$21296/25$	$0.83964$	$3.95134$	$[0, -1, 0, 180, -1000]$	\(y^2=x^3-x^2+180x-1000\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[ ]$	$1$
980.i1	980h1	980.i	980h	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$20$	$2$	$0$	$1$	$1$		$0$	$144$	$-0.388587$	$-3024/5$	$0.61638$	$2.72974$	$[0, 0, 0, -7, 14]$	\(y^2=x^3-7x+14\)	20.2.0.a.1	$[ ]$	$1$

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