Elliptic curve search results

Results (14 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
14300.f1	14300k1	14300.f	14300k	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 5^{4} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$1$	$1$		$0$	$1368$	$-0.120965$	$-172800/143$	$0.65675$	$2.31585$	$[0, 0, 0, -25, -75]$	\(y^2=x^3-25x-75\)	286.2.0.?	$[ ]$
14300.h1	14300h1	14300.h	14300h	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 5^{10} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$1$	$1$		$0$	$6840$	$0.683754$	$-172800/143$	$0.65675$	$3.32511$	$[0, 0, 0, -625, -9375]$	\(y^2=x^3-625x-9375\)	286.2.0.?	$[ ]$
57200.z1	57200bh1	57200.z	57200bh	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 5^{10} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$4.960097051$	$1$		$2$	$27360$	$0.683754$	$-172800/143$	$0.65675$	$2.90431$	$[0, 0, 0, -625, 9375]$	\(y^2=x^3-625x+9375\)	286.2.0.?	$[(134, 1527)]$
57200.bh1	57200cb1	57200.bh	57200cb	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 5^{4} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$2.226813654$	$1$		$2$	$5472$	$-0.120965$	$-172800/143$	$0.65675$	$2.02278$	$[0, 0, 0, -25, 75]$	\(y^2=x^3-25x+75\)	286.2.0.?	$[(-6, 3)]$
128700.t1	128700bh1	128700.t	128700bh	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{4} \cdot 11 \cdot 13 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$0.231919376$	$1$		$20$	$43776$	$0.428341$	$-172800/143$	$0.65675$	$2.44362$	$[0, 0, 0, -225, 2025]$	\(y^2=x^3-225x+2025\)	286.2.0.?	$[(15, 45), (-15, 45)]$
128700.bi1	128700l1	128700.bi	128700l	$1$	$1$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 11 \cdot 13 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$1$	$1$		$0$	$218880$	$1.233059$	$-172800/143$	$0.65675$	$3.26440$	$[0, 0, 0, -5625, 253125]$	\(y^2=x^3-5625x+253125\)	286.2.0.?	$[ ]$
157300.p1	157300s1	157300.p	157300s	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{4} \cdot 5^{10} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$4.225323668$	$1$		$2$	$820800$	$1.882702$	$-172800/143$	$0.65675$	$3.86115$	$[0, 0, 0, -75625, 12478125]$	\(y^2=x^3-75625x+12478125\)	286.2.0.?	$[(1276, 44649)]$
157300.r1	157300m1	157300.r	157300m	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \)	\( - 2^{4} \cdot 5^{4} \cdot 11^{7} \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$0.867968483$	$1$		$2$	$164160$	$1.077982$	$-172800/143$	$0.65675$	$3.05413$	$[0, 0, 0, -3025, 99825]$	\(y^2=x^3-3025x+99825\)	286.2.0.?	$[(-11, 363)]$
185900.q1	185900t1	185900.q	185900t	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{4} \cdot 5^{10} \cdot 11 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$1$	$1$		$0$	$1149120$	$1.966228$	$-172800/143$	$0.65675$	$3.89059$	$[0, 0, 0, -105625, -20596875]$	\(y^2=x^3-105625x-20596875\)	286.2.0.?	$[ ]$
185900.s1	185900n1	185900.s	185900n	$1$	$1$	\( 2^{2} \cdot 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 2^{4} \cdot 5^{4} \cdot 11 \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$0.723699814$	$1$		$2$	$229824$	$1.161509$	$-172800/143$	$0.65675$	$3.09469$	$[0, 0, 0, -4225, -164775]$	\(y^2=x^3-4225x-164775\)	286.2.0.?	$[(195, 2535)]$
228800.ct1	228800er1	228800.ct	228800er	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{10} \cdot 5^{4} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$3.309633367$	$1$		$2$	$43776$	$0.225608$	$-172800/143$	$0.65675$	$2.13255$	$[0, 0, 0, -100, -600]$	\(y^2=x^3-100x-600\)	286.2.0.?	$[(21, 81)]$
228800.cu1	228800cb1	228800.cu	228800cb	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{10} \cdot 5^{10} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$8.399028476$	$1$		$0$	$218880$	$1.030327$	$-172800/143$	$0.65675$	$2.91506$	$[0, 0, 0, -2500, 75000]$	\(y^2=x^3-2500x+75000\)	286.2.0.?	$[(3621/7, 185919/7)]$
228800.dq1	228800fd1	228800.dq	228800fd	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{10} \cdot 5^{10} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$19.62349316$	$1$		$0$	$218880$	$1.030327$	$-172800/143$	$0.65675$	$2.91506$	$[0, 0, 0, -2500, -75000]$	\(y^2=x^3-2500x-75000\)	286.2.0.?	$[(241303421/1693, 2707102925781/1693)]$
228800.dt1	228800bt1	228800.dt	228800bt	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 13 \)	\( - 2^{10} \cdot 5^{4} \cdot 11 \cdot 13 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$286$	$2$	$0$	$1.340058737$	$1$		$2$	$43776$	$0.225608$	$-172800/143$	$0.65675$	$2.13255$	$[0, 0, 0, -100, 600]$	\(y^2=x^3-100x+600\)	286.2.0.?	$[(5, 15)]$

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