Elliptic curves over $\Q$ of conductor 348

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

Results (4 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
348.a1	348c1	348.a	348c	$1$	$1$	\( 2^{2} \cdot 3 \cdot 29 \)	\( - 2^{4} \cdot 3^{15} \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$174$	$2$	$0$	$1$	$1$		$0$	$180$	$0.564643$	$-5802287872/416118303$	$1.03444$	$5.14026$	$1$	$[0, -1, 0, -94, 3973]$	\(y^2=x^3-x^2-94x+3973\)	174.2.0.?	$[ ]$	$1$
348.b1	348a1	348.b	348a	$1$	$1$	\( 2^{2} \cdot 3 \cdot 29 \)	\( - 2^{4} \cdot 3 \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$174$	$2$	$0$	$0.145605973$	$1$		$8$	$12$	$-0.713191$	$32000/87$	$0.73713$	$2.46982$	$1$	$[0, -1, 0, 2, 1]$	\(y^2=x^3-x^2+2x+1\)	174.2.0.?	$[(0, 1)]$	$1$
348.c1	348d1	348.c	348d	$1$	$1$	\( 2^{2} \cdot 3 \cdot 29 \)	\( - 2^{4} \cdot 3^{7} \cdot 29 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$174$	$2$	$0$	$0.028636601$	$1$		$16$	$84$	$-0.097734$	$-881395456/63423$	$0.89711$	$4.01333$	$1$	$[0, 1, 0, -50, 129]$	\(y^2=x^3+x^2-50x+129\)	174.2.0.?	$[(10, 27)]$	$1$
348.d1	348b1	348.d	348b	$1$	$1$	\( 2^{2} \cdot 3 \cdot 29 \)	\( - 2^{4} \cdot 3 \cdot 29 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$174$	$2$	$0$	$1$	$1$		$0$	$12$	$-0.700972$	$-87808/87$	$0.73305$	$2.58932$	$1$	$[0, 1, 0, -2, -3]$	\(y^2=x^3+x^2-2x-3\)	174.2.0.?	$[ ]$	$1$

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