Elliptic curves over $\Q$ of conductor 2912

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

Results (12 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
2912.a1	2912c1	2912.a	2912c	$1$	$1$	\( 2^{5} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 7^{5} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$0.124291708$	$1$		$6$	$1440$	$0.660563$	$54439939000/36924979$	$0.93864$	$3.88119$	$1$	$[0, -1, 0, 632, 2324]$	\(y^2=x^3-x^2+632x+2324\)	728.2.0.?	$[(116, 1274)]$	$1$
2912.b1	2912d1	2912.b	2912d	$1$	$1$	\( 2^{5} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 7 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$2.159513679$	$1$		$2$	$544$	$-0.148577$	$-193100552/91$	$0.96395$	$3.17402$	$1$	$[0, -1, 0, -96, -332]$	\(y^2=x^3-x^2-96x-332\)	728.2.0.?	$[(12, 10)]$	$1$
2912.c1	2912a2	2912.c	2912a	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$728$	$48$	$0$	$1$	$4$	$2$	$1$	$576$	$0.234431$	$197747699976/91$	$1.04995$	$4.04290$	$2$	$[0, 0, 0, -971, -11646]$	\(y^2=x^3-971x-11646\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 56.24.0-56.y.1.13, $\ldots$	$[ ]$	$1$
2912.c2	2912a3	2912.c	2912a	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$728$	$48$	$0$	$1$	$1$		$3$	$576$	$0.234431$	$485587656/199927$	$0.90163$	$3.28952$	$1$	$[0, 0, 0, -131, 310]$	\(y^2=x^3-131x+310\)	2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.s.1.4, 104.24.0.?, 728.48.0.?	$[ ]$	$1$
2912.c3	2912a1	2912.c	2912a	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$728$	$48$	$0$	$1$	$1$		$3$	$288$	$-0.112143$	$392223168/8281$	$1.02576$	$3.00206$	$1$	$[0, 0, 0, -61, -180]$	\(y^2=x^3-61x-180\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.a.1.2, 56.24.0-56.b.1.1, 728.48.0.?	$[ ]$	$1$
2912.c4	2912a4	2912.c	2912a	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 7^{4} \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$728$	$48$	$0$	$1$	$1$		$1$	$576$	$0.234431$	$1728/31213$	$1.13275$	$3.27471$	$2$	$[0, 0, 0, 4, -544]$	\(y^2=x^3+4x-544\)	2.3.0.a.1, 4.12.0-4.c.1.2, 52.24.0-52.h.1.1, 56.24.0-56.y.1.10, 728.48.0.?	$[ ]$	$1$
2912.d1	2912e3	2912.d	2912e	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 7 \cdot 13 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$728$	$48$	$0$	$1$	$1$		$1$	$576$	$0.234431$	$197747699976/91$	$1.04995$	$4.04290$	$2$	$[0, 0, 0, -971, 11646]$	\(y^2=x^3-971x+11646\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 56.24.0-56.y.1.5, $\ldots$	$[ ]$	$1$
2912.d2	2912e2	2912.d	2912e	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( 2^{9} \cdot 7 \cdot 13^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$728$	$48$	$0$	$1$	$1$		$1$	$576$	$0.234431$	$485587656/199927$	$0.90163$	$3.28952$	$2$	$[0, 0, 0, -131, -310]$	\(y^2=x^3-131x-310\)	2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.s.1.1, 104.24.0.?, 728.48.0.?	$[ ]$	$1$
2912.d3	2912e1	2912.d	2912e	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( 2^{6} \cdot 7^{2} \cdot 13^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$728$	$48$	$0$	$1$	$1$		$3$	$288$	$-0.112143$	$392223168/8281$	$1.02576$	$3.00206$	$1$	$[0, 0, 0, -61, 180]$	\(y^2=x^3-61x+180\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.a.1.1, 56.24.0-56.b.1.2, 728.48.0.?	$[ ]$	$1$
2912.d4	2912e4	2912.d	2912e	$4$	$4$	\( 2^{5} \cdot 7 \cdot 13 \)	\( - 2^{12} \cdot 7^{4} \cdot 13 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$728$	$48$	$0$	$1$	$1$		$3$	$576$	$0.234431$	$1728/31213$	$1.13275$	$3.27471$	$1$	$[0, 0, 0, 4, 544]$	\(y^2=x^3+4x+544\)	2.3.0.a.1, 4.12.0-4.c.1.1, 52.24.0-52.h.1.2, 56.24.0-56.y.1.2, 728.48.0.?	$[ ]$	$1$
2912.e1	2912b1	2912.e	2912b	$1$	$1$	\( 2^{5} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 7^{5} \cdot 13^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$1$		$0$	$1440$	$0.660563$	$54439939000/36924979$	$0.93864$	$3.88119$	$1$	$[0, 1, 0, 632, -2324]$	\(y^2=x^3+x^2+632x-2324\)	728.2.0.?	$[ ]$	$1$
2912.f1	2912f1	2912.f	2912f	$1$	$1$	\( 2^{5} \cdot 7 \cdot 13 \)	\( - 2^{9} \cdot 7 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$728$	$2$	$0$	$1$	$1$		$0$	$544$	$-0.148577$	$-193100552/91$	$0.96395$	$3.17402$	$1$	$[0, 1, 0, -96, 332]$	\(y^2=x^3+x^2-96x+332\)	728.2.0.?	$[ ]$	$1$

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