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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
18354.c2	18354e2	18354.c	18354e	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.12.0.1	2Cs	$36708$	$48$	$0$	$0.868624806$	$1$		$12$	$9216$	$0.441355$	$2338337977417/1347477264$	$0.92412$	$2.90096$	$[1, 1, 0, -276, 0]$	\(y^2+xy=x^3+x^2-276x\)	2.6.0.a.1, 4.12.0-2.a.1.1, 276.24.0.?, 532.24.0.?, 36708.48.0.?	$[(23, 69)]$
55062.bs2	55062bs2	55062.bs	55062bs	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 19^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$36708$	$48$	$0$	$1$	$1$		$2$	$73728$	$0.990661$	$2338337977417/1347477264$	$0.92412$	$3.21285$	$[1, -1, 1, -2489, -2487]$	\(y^2+xy+y=x^3-x^2-2489x-2487\)	2.6.0.a.1, 12.12.0-2.a.1.1, 92.12.0.?, 276.24.0.?, 532.12.0.?, $\ldots$	$[ ]$
128478.bi2	128478bj2	128478.bi	128478bj	$4$	$4$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 19^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$36708$	$48$	$0$	$3.674308964$	$1$		$4$	$442368$	$1.414310$	$2338337977417/1347477264$	$0.92412$	$3.41360$	$[1, 0, 1, -13550, -40624]$	\(y^2+xy+y=x^3-13550x-40624\)	2.6.0.a.1, 28.12.0-2.a.1.1, 76.12.0.?, 276.12.0.?, 532.24.0.?, $\ldots$	$[(-51, 745)]$
146832.w2	146832f2	146832.w	146832f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{16} \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \cdot 23^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$36708$	$48$	$0$	$1$	$1$		$3$	$221184$	$1.134502$	$2338337977417/1347477264$	$0.92412$	$3.09306$	$[0, 1, 0, -4424, -8844]$	\(y^2=x^3+x^2-4424x-8844\)	2.6.0.a.1, 4.12.0-2.a.1.1, 276.24.0.?, 532.24.0.?, 36708.48.0.?	$[ ]$
348726.cp2	348726cp2	348726.cp	348726cp	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{8} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$36708$	$48$	$0$	$5.854282071$	$1$		$2$	$3317760$	$1.913574$	$2338337977417/1347477264$	$0.92412$	$3.61596$	$[1, 0, 0, -99824, -798096]$	\(y^2+xy=x^3-99824x-798096\)	2.6.0.a.1, 28.12.0-2.a.1.1, 76.12.0.?, 276.12.0.?, 532.24.0.?, $\ldots$	$[(3855/2, 222189/2)]$
385434.dq2	385434dq2	385434.dq	385434dq	$4$	$4$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 19^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$36708$	$48$	$0$	$2.772096247$	$1$		$8$	$3538944$	$1.963615$	$2338337977417/1347477264$	$0.92412$	$3.63452$	$[1, -1, 1, -121946, 1096841]$	\(y^2+xy+y=x^3-x^2-121946x+1096841\)	2.6.0.a.1, 84.12.0.?, 228.12.0.?, 276.12.0.?, 532.12.0.?, $\ldots$	$[(3, 853)]$
422142.o2	422142o2	422142.o	422142o	$4$	$4$	\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \)	\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{2} \cdot 23^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$36708$	$48$	$0$	$1$	$1$		$2$	$4866048$	$2.009102$	$2338337977417/1347477264$	$0.92412$	$3.65113$	$[1, 1, 0, -146279, -1461915]$	\(y^2+xy=x^3+x^2-146279x-1461915\)	2.6.0.a.1, 12.12.0-2.a.1.1, 92.12.0.?, 276.24.0.?, 532.12.0.?, $\ldots$	$[ ]$
440496.cm2	440496cm2	440496.cm	440496cm	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{16} \cdot 3^{8} \cdot 7^{2} \cdot 19^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$36708$	$48$	$0$	$2.314256978$	$1$		$9$	$1769472$	$1.683807$	$2338337977417/1347477264$	$0.92412$	$3.33880$	$[0, 0, 0, -39819, 198970]$	\(y^2=x^3-39819x+198970\)	2.6.0.a.1, 12.12.0-2.a.1.1, 92.12.0.?, 276.24.0.?, 532.12.0.?, $\ldots$	$[(-27, 1120)]$
458850.eu2	458850eu2	458850.eu	458850eu	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \)	\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 19^{2} \cdot 23^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$183540$	$48$	$0$	$1.578377242$	$1$		$8$	$1179648$	$1.246073$	$2338337977417/1347477264$	$0.92412$	$2.92541$	$[1, 0, 0, -6913, 13817]$	\(y^2+xy=x^3-6913x+13817\)	2.6.0.a.1, 20.12.0-2.a.1.1, 276.12.0.?, 532.12.0.?, 1380.24.0.?, $\ldots$	$[(-44, 505)]$

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