Elliptic curves over $\Q$ of conductor 214

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

Results (5 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
214.a1	214b1	214.a	214b	$1$	$1$	\( 2 \cdot 107 \)	\( - 2 \cdot 107 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$856$	$2$	$0$	$0.260449028$	$1$		$6$	$12$	$-0.863537$	$357911/214$	$0.83151$	$2.38317$		$[1, 0, 1, 1, 0]$	\(y^2+xy+y=x^3+x\)	856.2.0.?	$[(0, 0)]$	$1$
214.b1	214c1	214.b	214c	$1$	$1$	\( 2 \cdot 107 \)	\( - 2^{10} \cdot 107 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$214$	$2$	$0$	$0.167374987$	$1$		$6$	$60$	$-0.015768$	$-789145184521/109568$	$0.93518$	$5.10521$		$[1, 0, 1, -193, 1012]$	\(y^2+xy+y=x^3-193x+1012\)	214.2.0.?	$[(11, 10)]$	$1$
214.c1	214a1	214.c	214a	$1$	$1$	\( 2 \cdot 107 \)	\( - 2^{7} \cdot 107 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$856$	$2$	$0$	$0.050012042$	$1$		$12$	$28$	$-0.456234$	$-192100033/13696$	$0.85602$	$3.57618$		$[1, 0, 0, -12, 16]$	\(y^2+xy=x^3-12x+16\)	856.2.0.?	$[(0, 4)]$	$1$
214.d1	214d2	214.d	214d	$2$	$3$	\( 2 \cdot 107 \)	\( - 2^{2} \cdot 107^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.2	3B.1.2	$642$	$16$	$0$	$1$	$1$		$0$	$36$	$-0.033279$	$-647214625/4900172$	$0.92870$	$4.27381$		$[1, 0, 0, -18, -112]$	\(y^2+xy=x^3-18x-112\)	3.8.0-3.a.1.1, 214.2.0.?, 642.16.0.?	$[ ]$	$1$
214.d2	214d1	214.d	214d	$2$	$3$	\( 2 \cdot 107 \)	\( - 2^{6} \cdot 107 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$3$	3.8.0.1	3B.1.1	$642$	$16$	$0$	$1$	$1$		$2$	$12$	$-0.582585$	$857375/6848$	$0.85162$	$3.02111$		$[1, 0, 0, 2, 4]$	\(y^2+xy=x^3+2x+4\)	3.8.0-3.a.1.2, 214.2.0.?, 642.16.0.?	$[ ]$	$1$

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