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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
4902.f3	4902h2	4902.f	4902h	$4$	$6$	\( 2 \cdot 3 \cdot 19 \cdot 43 \)	\( - 2^{4} \cdot 3^{3} \cdot 19^{6} \cdot 43^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$9804$	$96$	$1$	$1$	$1$		$4$	$13824$	$1.288519$	$-6264610702863625/37578744274608$	$0.96952$	$4.56661$	$1$	$[1, 0, 1, -3841, 308516]$	\(y^2+xy+y=x^3-3841x+308516\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.b.1.2, 3268.6.0.?, 9804.96.1.?	$[ ]$	$1$
14706.q3	14706u2	14706.q	14706u	$4$	$6$	\( 2 \cdot 3^{2} \cdot 19 \cdot 43 \)	\( - 2^{4} \cdot 3^{9} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$9804$	$96$	$1$	$1.760343120$	$1$		$4$	$110592$	$1.837824$	$-6264610702863625/37578744274608$	$0.96952$	$4.73071$	$1$	$[1, -1, 1, -34565, -8329939]$	\(y^2+xy+y=x^3-x^2-34565x-8329939\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.b.1.1, 3268.6.0.?, 9804.96.1.?	$[(349, 4518)]$	$1$
39216.i3	39216i2	39216.i	39216i	$4$	$6$	\( 2^{4} \cdot 3 \cdot 19 \cdot 43 \)	\( - 2^{16} \cdot 3^{3} \cdot 19^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$1$	$4$	$2$	$1$	$331776$	$1.981667$	$-6264610702863625/37578744274608$	$0.96952$	$4.45521$	$1$	$[0, -1, 0, -61448, -19745040]$	\(y^2=x^3-x^2-61448x-19745040\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.1, 3268.6.0.?, $\ldots$	$[ ]$	$1$
93138.y3	93138bc2	93138.y	93138bc	$4$	$6$	\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \)	\( - 2^{4} \cdot 3^{3} \cdot 19^{12} \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$25.43874829$	$1$		$4$	$4976640$	$2.760738$	$-6264610702863625/37578744274608$	$0.96952$	$4.93548$	$1$	$[1, 1, 1, -1386428, -2118885811]$	\(y^2+xy+y=x^3+x^2-1386428x-2118885811\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 57.8.0-3.a.1.1, 114.48.0.?, $\ldots$	$[(6743, 539933), (166679/2, 67855103/2)]$	$1$
117648.bg3	117648x2	117648.bg	117648x	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( - 2^{16} \cdot 3^{9} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$3.550670728$	$1$		$3$	$2654208$	$2.530972$	$-6264610702863625/37578744274608$	$0.96952$	$4.60057$	$1$	$[0, 0, 0, -553035, 533669114]$	\(y^2=x^3-553035x+533669114\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 12.48.0-6.b.1.4, 3268.6.0.?, $\ldots$	$[(1030, 32508)]$	$1$
122550.by3	122550bs2	122550.by	122550bs	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 43 \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$49020$	$96$	$1$	$1.973341350$	$1$		$2$	$1990656$	$2.093239$	$-6264610702863625/37578744274608$	$0.96952$	$4.13620$	$1$	$[1, 1, 1, -96013, 38564531]$	\(y^2+xy+y=x^3+x^2-96013x+38564531\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 15.8.0-3.a.1.2, 30.48.0-6.b.1.2, $\ldots$	$[(381, 7390)]$	$1$
156864.q3	156864dd2	156864.q	156864dd	$4$	$6$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( - 2^{22} \cdot 3^{3} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$6.090659063$	$1$		$3$	$2654208$	$2.328239$	$-6264610702863625/37578744274608$	$0.96952$	$4.28658$	$1$	$[0, -1, 0, -245793, 158206113]$	\(y^2=x^3-x^2-245793x+158206113\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 24.48.0-6.b.1.5, 3268.6.0.?, $\ldots$	$[(-113, 13584)]$	$1$
156864.cy3	156864n2	156864.cy	156864n	$4$	$6$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( - 2^{22} \cdot 3^{3} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$5.928203111$	$1$		$3$	$2654208$	$2.328239$	$-6264610702863625/37578744274608$	$0.96952$	$4.28658$	$1$	$[0, 1, 0, -245793, -158206113]$	\(y^2=x^3+x^2-245793x-158206113\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 24.48.0-6.b.1.2, 3268.6.0.?, $\ldots$	$[(1173, 34188)]$	$1$
210786.w3	210786o2	210786.w	210786o	$4$	$6$	\( 2 \cdot 3 \cdot 19 \cdot 43^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 19^{6} \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$35.16545461$	$1$		$0$	$25546752$	$3.169117$	$-6264610702863625/37578744274608$	$0.96952$	$5.00640$	$1$	$[1, 1, 1, -7101123, -24557605935]$	\(y^2+xy+y=x^3+x^2-7101123x-24557605935\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 129.8.0.?, 228.48.0.?, $\ldots$	$[(2089289191971041/706015, 48202505344853160786666/706015)]$	$1$
240198.h3	240198h2	240198.h	240198h	$4$	$6$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 43 \)	\( - 2^{4} \cdot 3^{3} \cdot 7^{6} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$68628$	$96$	$1$	$5.875648234$	$1$		$0$	$3981312$	$2.261475$	$-6264610702863625/37578744274608$	$0.96952$	$4.07449$	$1$	$[1, 1, 0, -188185, -106009259]$	\(y^2+xy=x^3+x^2-188185x-106009259\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 21.8.0-3.a.1.1, 42.48.0-6.b.1.1, $\ldots$	$[(24174/5, 3045283/5)]$	$1$
279414.o3	279414o2	279414.o	279414o	$4$	$6$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 43 \)	\( - 2^{4} \cdot 3^{9} \cdot 19^{12} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$9804$	$96$	$1$	$1$	$1$		$0$	$39813120$	$3.310043$	$-6264610702863625/37578744274608$	$0.96952$	$5.02873$	$1$	$[1, -1, 0, -12477852, 57197439040]$	\(y^2+xy=x^3-x^2-12477852x+57197439040\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 57.8.0-3.a.1.2, 114.48.0.?, $\ldots$	$[ ]$	$1$
367650.bv3	367650bv2	367650.bv	367650bv	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 43 \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$49020$	$96$	$1$	$1.791446511$	$1$		$4$	$15925248$	$2.642544$	$-6264610702863625/37578744274608$	$0.96952$	$4.29599$	$1$	$[1, -1, 0, -864117, -1042106459]$	\(y^2+xy=x^3-x^2-864117x-1042106459\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 15.8.0-3.a.1.1, 30.48.0-6.b.1.1, $\ldots$	$[(1649, 44063)]$	$1$
470592.cj3	470592cj2	470592.cj	470592cj	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( - 2^{22} \cdot 3^{9} \cdot 19^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$1$	$4$	$2$	$1$	$21233664$	$2.877544$	$-6264610702863625/37578744274608$	$0.96952$	$4.43069$	$1$	$[0, 0, 0, -2212140, -4269352912]$	\(y^2=x^3-2212140x-4269352912\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 24.48.0-6.b.1.1, 3268.6.0.?, $\ldots$	$[ ]$	$1$
470592.dq3	470592dq2	470592.dq	470592dq	$4$	$6$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( - 2^{22} \cdot 3^{9} \cdot 19^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$19608$	$96$	$1$	$8.665062525$	$1$		$1$	$21233664$	$2.877544$	$-6264610702863625/37578744274608$	$0.96952$	$4.43069$	$1$	$[0, 0, 0, -2212140, 4269352912]$	\(y^2=x^3-2212140x+4269352912\)	2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 24.48.0-6.b.1.6, 3268.6.0.?, $\ldots$	$[(-47984/15, 232150436/15)]$	$1$

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