Elliptic curve search results

Results (10 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
6690.a4	6690a4	6690.a	6690a	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{12} \cdot 223^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.12.0.7	2B	$26760$	$48$	$0$	$58.32651116$	$1$		$0$	$1384128$	$3.442421$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$7.25877$		$[1, 1, 0, 37559887, -78942362283]$	\(y^2+xy=x^3+x^2+37559887x-78942362283\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$	$[(1990879636632840678535436191/428020072561, 99154503430569145733567518732165120623987/428020072561)]$	$1$
20070.be4	20070bg4	20070.be	20070bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 223 \)	\( - 2^{9} \cdot 3^{15} \cdot 5^{12} \cdot 223^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$26760$	$48$	$0$	$1$	$1$		$0$	$11073024$	$3.991726$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$7.11918$		$[1, -1, 1, 338038978, 2131781820621]$	\(y^2+xy+y=x^3-x^2+338038978x+2131781820621\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 8920.24.0.?, 26760.48.0.?	$[ ]$	$1$
33450.bc4	33450y3	33450.bc	33450y	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 223 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{18} \cdot 223^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26760$	$48$	$0$	$1$	$1$		$0$	$33219072$	$4.247139$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$7.06431$		$[1, 0, 0, 938997162, -9869673279708]$	\(y^2+xy=x^3+938997162x-9869673279708\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.1, 60.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
53520.q4	53520u3	53520.q	53520u	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{21} \cdot 3^{9} \cdot 5^{12} \cdot 223^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$26760$	$48$	$0$	$1$	$1$		$1$	$33219072$	$4.135567$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$6.63639$		$[0, 1, 0, 600958184, 5053513102484]$	\(y^2=x^3+x^2+600958184x+5053513102484\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.2, 24.24.0-24.v.1.3, $\ldots$	$[ ]$	$1$
100350.o4	100350ba3	100350.o	100350ba	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 223 \)	\( - 2^{9} \cdot 3^{15} \cdot 5^{18} \cdot 223^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26760$	$48$	$0$	$21.56983794$	$1$		$0$	$265752576$	$4.796448$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$6.96278$		$[1, -1, 0, 8450974458, 266481178552116]$	\(y^2+xy=x^3-x^2+8450974458x+266481178552116\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.v.1, 120.24.0.?, $\ldots$	$[(-4324153968711/14981, 33060921820553193633/14981)]$	$1$
160560.bt4	160560h4	160560.bt	160560h	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 223 \)	\( - 2^{21} \cdot 3^{15} \cdot 5^{12} \cdot 223^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$26760$	$48$	$0$	$15.98110776$	$1$		$5$	$265752576$	$4.684875$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$6.57806$		$[0, 0, 0, 5408623653, -136439445143414]$	\(y^2=x^3+5408623653x-136439445143414\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 8920.24.0.?, 26760.48.0.?	$[(419937126557, 272129991648451200)]$	$1$
214080.be4	214080v3	214080.be	214080v	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{27} \cdot 3^{9} \cdot 5^{12} \cdot 223^{4} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$26760$	$48$	$0$	$1$	$9$	$3$	$3$	$265752576$	$4.482140$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$6.22568$		$[0, -1, 0, 2403832735, 40425700987137]$	\(y^2=x^3-x^2+2403832735x+40425700987137\)	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 8920.24.0.?, 26760.48.0.?	$[ ]$	$1$
214080.cj4	214080bl4	214080.cj	214080bl	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 223 \)	\( - 2^{27} \cdot 3^{9} \cdot 5^{12} \cdot 223^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$26760$	$48$	$0$	$3.596514833$	$1$		$3$	$265752576$	$4.482140$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$6.22568$		$[0, 1, 0, 2403832735, -40425700987137]$	\(y^2=x^3+x^2+2403832735x-40425700987137\)	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 8920.24.0.?, 26760.48.0.?	$[(33811, 8916480)]$	$1$
267600.o4	267600o3	267600.o	267600o	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 223 \)	\( - 2^{21} \cdot 3^{9} \cdot 5^{18} \cdot 223^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26760$	$48$	$0$	$1$	$25$	$5$	$1$	$797257728$	$4.940285$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$6.55443$		$[0, -1, 0, 15023954592, 631659089901312]$	\(y^2=x^3-x^2+15023954592x+631659089901312\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.2, 60.12.0-4.c.1.2, $\ldots$	$[ ]$	$1$
327810.bj4	327810bj3	327810.bj	327810bj	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 223 \)	\( - 2^{9} \cdot 3^{9} \cdot 5^{12} \cdot 7^{6} \cdot 223^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$187320$	$48$	$0$	$1.181546106$	$1$		$6$	$531505152$	$4.415375$	$5859985279907178462243106151/6084442029900375000000000$	$1.04111$	$5.95372$		$[1, 0, 1, 1840434437, 27082751566406]$	\(y^2+xy+y=x^3+1840434437x+27082751566406\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$	$[(-3650, 4509212)]$	$1$

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