Elliptic curve search results

Results (9 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
10470.c1	10470c1	10470.c	10470c	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 349 \)	\( - 2 \cdot 3^{5} \cdot 5^{3} \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$41880$	$2$	$0$	$1$	$1$		$0$	$4680$	$0.086005$	$881974079/21201750$	$0.86036$	$2.62524$	$1$	$[1, 1, 1, 20, 227]$	\(y^2+xy+y=x^3+x^2+20x+227\)	41880.2.0.?	$[ ]$	$1$
31410.c1	31410d1	31410.c	31410d	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 349 \)	\( - 2 \cdot 3^{11} \cdot 5^{3} \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$1.867482035$	$1$		$2$	$37440$	$0.635311$	$881974079/21201750$	$0.86036$	$2.98329$	$1$	$[1, -1, 0, 180, -5954]$	\(y^2+xy=x^3-x^2+180x-5954\)	41880.2.0.?	$[(65, 494)]$	$1$
52350.g1	52350h1	52350.g	52350h	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 349 \)	\( - 2 \cdot 3^{5} \cdot 5^{9} \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$0.233909590$	$1$		$6$	$112320$	$0.890724$	$881974079/21201750$	$0.86036$	$3.12511$	$1$	$[1, 0, 1, 499, 27398]$	\(y^2+xy+y=x^3+499x+27398\)	41880.2.0.?	$[(12, 181)]$	$1$
83760.u1	83760w1	83760.u	83760w	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{13} \cdot 3^{5} \cdot 5^{3} \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$0.255341751$	$1$		$8$	$112320$	$0.779152$	$881974079/21201750$	$0.86036$	$2.87743$	$1$	$[0, 1, 0, 320, -13900]$	\(y^2=x^3+x^2+320x-13900\)	41880.2.0.?	$[(50, 360)]$	$1$
157050.o1	157050f1	157050.o	157050f	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 349 \)	\( - 2 \cdot 3^{11} \cdot 5^{9} \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$1$	$1$		$0$	$898560$	$1.440031$	$881974079/21201750$	$0.86036$	$3.38910$	$1$	$[1, -1, 1, 4495, -739753]$	\(y^2+xy+y=x^3-x^2+4495x-739753\)	41880.2.0.?	$[ ]$	$1$
251280.a1	251280a1	251280.a	251280a	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \)	\( - 2^{13} \cdot 3^{11} \cdot 5^{3} \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$1$	$1$		$0$	$898560$	$1.328459$	$881974079/21201750$	$0.86036$	$3.15332$	$1$	$[0, 0, 0, 2877, 378178]$	\(y^2=x^3+2877x+378178\)	41880.2.0.?	$[ ]$	$1$
335040.a1	335040a1	335040.a	335040a	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{19} \cdot 3^{5} \cdot 5^{3} \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$1$	$1$		$0$	$898560$	$1.125727$	$881974079/21201750$	$0.86036$	$2.89079$	$1$	$[0, -1, 0, 1279, -112479]$	\(y^2=x^3-x^2+1279x-112479\)	41880.2.0.?	$[ ]$	$1$
335040.bx1	335040bx1	335040.bx	335040bx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \)	\( - 2^{19} \cdot 3^{5} \cdot 5^{3} \cdot 349 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$1$	$1$		$0$	$898560$	$1.125727$	$881974079/21201750$	$0.86036$	$2.89079$	$1$	$[0, 1, 0, 1279, 112479]$	\(y^2=x^3+x^2+1279x+112479\)	41880.2.0.?	$[ ]$	$1$
418800.bc1	418800bc1	418800.bc	418800bc	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 349 \)	\( - 2^{13} \cdot 3^{5} \cdot 5^{9} \cdot 349 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$41880$	$2$	$0$	$3.641984954$	$1$		$2$	$2695680$	$1.583872$	$881974079/21201750$	$0.86036$	$3.26565$	$1$	$[0, -1, 0, 7992, -1753488]$	\(y^2=x^3-x^2+7992x-1753488\)	41880.2.0.?	$[(1202, 41750)]$	$1$

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