Elliptic curve search results

Results (6 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
61050.a1	61050m1	61050.a	61050m	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{11} \cdot 3 \cdot 5^{3} \cdot 11^{3} \cdot 37 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$48840$	$2$	$0$	$2.315896716$	$1$		$2$	$109824$	$0.844178$	$27404301397949/302573568$	$0.89998$	$3.24608$	$[1, 1, 0, -3140, -68400]$	\(y^2+xy=x^3+x^2-3140x-68400\)	48840.2.0.?	$[(-35, 5)]$
61050.db1	61050cu1	61050.db	61050cu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{11} \cdot 3 \cdot 5^{9} \cdot 11^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$48840$	$2$	$0$	$1$	$1$		$0$	$549120$	$1.648897$	$27404301397949/302573568$	$0.89998$	$4.12241$	$[1, 0, 0, -78513, -8392983]$	\(y^2+xy=x^3-78513x-8392983\)	48840.2.0.?	$[ ]$
183150.db1	183150dk1	183150.db	183150dk	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{9} \cdot 11^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$48840$	$2$	$0$	$1$	$1$		$0$	$4392960$	$2.198204$	$27404301397949/302573568$	$0.89998$	$4.29263$	$[1, -1, 0, -706617, 226610541]$	\(y^2+xy=x^3-x^2-706617x+226610541\)	48840.2.0.?	$[ ]$
183150.dd1	183150a1	183150.dd	183150a	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{11} \cdot 3^{7} \cdot 5^{3} \cdot 11^{3} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$48840$	$2$	$0$	$0.097847864$	$1$		$38$	$878592$	$1.393484$	$27404301397949/302573568$	$0.89998$	$3.49575$	$[1, -1, 1, -28265, 1818537]$	\(y^2+xy+y=x^3-x^2-28265x+1818537\)	48840.2.0.?	$[(83, 156), (39, 860)]$
488400.b1	488400b1	488400.b	488400b	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{23} \cdot 3 \cdot 5^{9} \cdot 11^{3} \cdot 37 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$48840$	$2$	$0$	$1.820165374$	$1$		$10$	$13178880$	$2.342045$	$27404301397949/302573568$	$0.89998$	$4.10298$	$[0, -1, 0, -1256208, 537150912]$	\(y^2=x^3-x^2-1256208x+537150912\)	48840.2.0.?	$[(728, 2816), (-808, 32000)]$
488400.ht1	488400ht1	488400.ht	488400ht	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{23} \cdot 3 \cdot 5^{3} \cdot 11^{3} \cdot 37 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$48840$	$2$	$0$	$1$	$1$		$0$	$2635776$	$1.537325$	$27404301397949/302573568$	$0.89998$	$3.36577$	$[0, 1, 0, -50248, 4277108]$	\(y^2=x^3+x^2-50248x+4277108\)	48840.2.0.?	$[ ]$

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