Elliptic curves over $\Q$ of conductor 1160

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

Results (10 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
1160.a1	1160b2	1160.a	1160b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$0.944000814$	$1$		$5$	$128$	$-0.126852$	$20720464/4205$	$0.76987$	$3.17336$	$1$	$[0, 1, 0, -36, -80]$	\(y^2=x^3+x^2-36x-80\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-4, 4)]$	$1$
1160.a2	1160b1	1160.a	1160b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$0.472000407$	$1$		$7$	$64$	$-0.473425$	$10061824/725$	$0.77107$	$2.67806$	$1$	$[0, 1, 0, -11, 10]$	\(y^2=x^3+x^2-11x+10\)	2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.?	$[(1, 1)]$	$1$
1160.b1	1160c3	1160.b	1160c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{10} \cdot 5^{8} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.57	2B	$2320$	$192$	$3$	$0.721981444$	$1$		$5$	$512$	$0.649403$	$61085802564/11328125$	$1.13030$	$4.50202$	$2$	$[0, 0, 0, -827, -7546]$	\(y^2=x^3-827x-7546\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 58.6.0.a.1, 80.48.0.?, $\ldots$	$[(-17, 40)]$	$1$
1160.b2	1160c2	1160.b	1160c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5^{4} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.7	2Cs	$1160$	$192$	$3$	$1.443962889$	$1$		$7$	$256$	$0.302829$	$6509904336/525625$	$0.99437$	$3.98825$	$2$	$[0, 0, 0, -247, 1386]$	\(y^2=x^3-247x+1386\)	2.6.0.a.1, 4.24.0-4.a.1.1, 40.48.0-40.k.1.2, 116.48.0.?, 232.96.0.?, $\ldots$	$[(2, 30)]$	$1$
1160.b3	1160c1	1160.b	1160c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{2} \cdot 29 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.47	2B	$2320$	$192$	$3$	$2.887925779$	$1$		$5$	$128$	$-0.043745$	$97960237056/725$	$1.25304$	$3.97955$	$2$	$[0, 0, 0, -242, 1449]$	\(y^2=x^3-242x+1449\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 58.6.0.a.1, 80.48.0.?, $\ldots$	$[(-16, 35)]$	$1$
1160.b4	1160c4	1160.b	1160c	$4$	$4$	\( 2^{3} \cdot 5 \cdot 29 \)	\( - 2^{10} \cdot 5^{2} \cdot 29^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.11	2B	$2320$	$192$	$3$	$2.887925779$	$1$		$7$	$512$	$0.649403$	$1748981916/17682025$	$0.95607$	$4.39548$	$1$	$[0, 0, 0, 253, 6286]$	\(y^2=x^3+253x+6286\)	2.3.0.a.1, 4.24.0-4.d.1.1, 20.48.0-20.d.1.2, 232.48.0.?, 464.96.0.?, $\ldots$	$[(22, 150)]$	$1$
1160.c1	1160a2	1160.c	1160a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5^{3} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$3.186497258$	$1$		$3$	$384$	$0.356497$	$133649126224/105125$	$0.99931$	$4.41651$	$1$	$[0, -1, 0, -676, -6540]$	\(y^2=x^3-x^2-676x-6540\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(246, 3828)]$	$1$
1160.c2	1160a1	1160.c	1160a	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{6} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.593248629$	$1$		$3$	$192$	$0.009924$	$934979584/453125$	$0.89403$	$3.32030$	$1$	$[0, -1, 0, -51, -40]$	\(y^2=x^3-x^2-51x-40\)	2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.?	$[(-1, 3)]$	$1$
1160.d1	1160d2	1160.d	1160d	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5^{2} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$256$	$-0.029974$	$1650587344/725$	$0.83324$	$3.79378$	$1$	$[0, -1, 0, -156, -700]$	\(y^2=x^3-x^2-156x-700\)	2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.?	$[ ]$	$1$
1160.d2	1160d1	1160.d	1160d	$2$	$2$	\( 2^{3} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1$	$1$		$1$	$128$	$-0.376548$	$10061824/4205$	$0.80068$	$2.67806$	$1$	$[0, -1, 0, -11, -4]$	\(y^2=x^3-x^2-11x-4\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[ ]$	$1$

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