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
44520.j3	44520d1	44520.j	44520d	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{20} \cdot 7 \cdot 53^{2} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$840$	$48$	$0$	$1$	$1$		$3$	$5555200$	$3.111881$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.76082$	$1$	$[0, -1, 0, -17589535, 25585908100]$	\(y^2=x^3-x^2-17589535x+25585908100\)	2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 42.6.0.a.1, 84.24.0.?, $\ldots$	$[ ]$	$1$
89040.cs3	89040u1	89040.cs	89040u	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{20} \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$840$	$48$	$0$	$1$	$1$		$1$	$11110400$	$3.111881$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.41045$	$2$	$[0, 1, 0, -17589535, -25585908100]$	\(y^2=x^3+x^2-17589535x-25585908100\)	2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 42.6.0.a.1, 84.24.0.?, $\ldots$	$[ ]$	$1$
133560.f3	133560l1	133560.f	133560l	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{4} \cdot 3^{13} \cdot 5^{20} \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$16$	$2$	$1$	$44441600$	$3.661190$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.78308$	$2$	$[0, 0, 0, -158305818, -690661212883]$	\(y^2=x^3-158305818x-690661212883\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0.ba.1, $\ldots$	$[ ]$	$1$
222600.cg3	222600i1	222600.cg	222600i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{26} \cdot 7 \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$840$	$48$	$0$	$7.812212642$	$1$		$3$	$133324800$	$3.916603$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.79208$	$2$	$[0, 1, 0, -439738383, 3197359035738]$	\(y^2=x^3+x^2-439738383x+3197359035738\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$	$[(23747, 2479287)]$	$1$
267120.bu3	267120bu1	267120.bu	267120bu	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{4} \cdot 3^{13} \cdot 5^{20} \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$1$	$9$	$3$	$1$	$88883200$	$3.661190$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.46228$	$2$	$[0, 0, 0, -158305818, 690661212883]$	\(y^2=x^3-158305818x+690661212883\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$	$[ ]$	$1$
311640.bg3	311640bg1	311640.bg	311640bg	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 53 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{20} \cdot 7^{7} \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$840$	$48$	$0$	$6.803857988$	$1$		$3$	$266649600$	$4.084839$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.79761$	$2$	$[0, 1, 0, -861887231, -8774242703850]$	\(y^2=x^3+x^2-861887231x-8774242703850\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0.ba.1, $\ldots$	$[(53125, 9765945)]$	$1$
356160.bh3	356160bh1	356160.bh	356160bh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{20} \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$840$	$48$	$0$	$1$	$4$	$2$	$1$	$88883200$	$3.458458$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.14904$	$2$	$[0, -1, 0, -70358141, -204616906659]$	\(y^2=x^3-x^2-70358141x-204616906659\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.3, 42.6.0.a.1, $\ldots$	$[ ]$	$1$
356160.eg3	356160eg1	356160.eg	356160eg	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 53 \)	\( 2^{10} \cdot 3^{7} \cdot 5^{20} \cdot 7 \cdot 53^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$840$	$48$	$0$	$6.172177077$	$1$		$3$	$88883200$	$3.458458$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.14904$	$2$	$[0, 1, 0, -70358141, 204616906659]$	\(y^2=x^3+x^2-70358141x+204616906659\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 42.6.0.a.1, $\ldots$	$[(16855, 1951248)]$	$1$
445200.bb3	445200bb1	445200.bb	445200bb	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 53 \)	\( 2^{4} \cdot 3^{7} \cdot 5^{26} \cdot 7 \cdot 53^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$840$	$48$	$0$	$1$	$36$	$2, 3$	$1$	$266649600$	$3.916603$	$37615499197072174665988096/4101083850860595703125$	$1.01983$	$5.48340$	$2$	$[0, -1, 0, -439738383, -3197359035738]$	\(y^2=x^3-x^2-439738383x-3197359035738\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$	$[ ]$	$1$

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