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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
14490.n2	14490b2	14490.n	14490b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$0$	$20480$	$0.995896$	$4716275733/44023437500$	$1.02223$	$3.67996$	$[1, -1, 0, 105, -52479]$	\(y^2+xy=x^3-x^2+105x-52479\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[ ]$	$1$
14490.bx2	14490bj2	14490.bx	14490bj	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.010840934$	$1$		$4$	$61440$	$1.545202$	$4716275733/44023437500$	$1.02223$	$4.36794$	$[1, -1, 1, 943, 1415989]$	\(y^2+xy+y=x^3-x^2+943x+1415989\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(47, 1226)]$	$1$
72450.j2	72450b2	72450.j	72450b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{16} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$2.590733276$	$1$		$4$	$1474560$	$2.349922$	$4716275733/44023437500$	$1.02223$	$4.60266$	$[1, -1, 0, 23583, 177022241]$	\(y^2+xy=x^3-x^2+23583x+177022241\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-311, 11968)]$	$1$
72450.dh2	72450cl2	72450.dh	72450cl	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{16} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$6.720807085$	$1$		$2$	$491520$	$1.800615$	$4716275733/44023437500$	$1.02223$	$4.01363$	$[1, -1, 1, 2620, -6557253]$	\(y^2+xy+y=x^3-x^2+2620x-6557253\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(1053, 33575)]$	$1$
101430.cf2	101430l2	101430.cf	101430l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{10} \cdot 7^{8} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$0.545337472$	$1$		$8$	$983040$	$1.968851$	$4716275733/44023437500$	$1.02223$	$4.07161$	$[1, -1, 0, 5136, 17990020]$	\(y^2+xy=x^3-x^2+5136x+17990020\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(51, 4262)]$	$1$
101430.db2	101430da2	101430.db	101430da	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{10} \cdot 7^{8} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$4$	$2$	$0$	$2949120$	$2.518158$	$4716275733/44023437500$	$1.02223$	$4.64345$	$[1, -1, 1, 46222, -485776763]$	\(y^2+xy+y=x^3-x^2+46222x-485776763\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[ ]$	$1$
115920.n2	115920cc2	115920.n	115920cc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$4.783624291$	$1$		$3$	$491520$	$1.689043$	$4716275733/44023437500$	$1.02223$	$3.73703$	$[0, 0, 0, 1677, 3356978]$	\(y^2=x^3+1677x+3356978\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(23, 1846)]$	$1$
115920.dm2	115920ck2	115920.dm	115920ck	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{14} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$3.405990364$	$1$		$5$	$1474560$	$2.238350$	$4716275733/44023437500$	$1.02223$	$4.30232$	$[0, 0, 0, 15093, -90638406]$	\(y^2=x^3+15093x-90638406\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(463, 3950)]$	$1$
333270.bp2	333270bp2	333270.bp	333270bp	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{2} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$0.580428531$	$1$		$8$	$10813440$	$2.563644$	$4716275733/44023437500$	$1.02223$	$4.25200$	$[1, -1, 0, 55446, 638179128]$	\(y^2+xy=x^3-x^2+55446x+638179128\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-638, 18834)]$	$1$
333270.dh2	333270dh2	333270.dh	333270dh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{2} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 23^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$33.84290408$	$1$		$0$	$32440320$	$3.112949$	$4716275733/44023437500$	$1.02223$	$4.77035$	$[1, -1, 1, 499012, -17231335469]$	\(y^2+xy+y=x^3-x^2+499012x-17231335469\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(9298072389735029/1909597, 163671942500708423646923/1909597)]$	$1$
463680.ba2	463680ba2	463680.ba	463680ba	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1$	$1$		$1$	$11796480$	$2.584923$	$4716275733/44023437500$	$1.02223$	$4.16395$	$[0, 0, 0, 60372, -725107248]$	\(y^2=x^3+60372x-725107248\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[ ]$	$1$
463680.gf2	463680gf2	463680.gf	463680gf	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{9} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$16.28344533$	$1$		$1$	$11796480$	$2.584923$	$4716275733/44023437500$	$1.02223$	$4.16395$	$[0, 0, 0, 60372, 725107248]$	\(y^2=x^3+60372x+725107248\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(20152564/75, 91389419488/75)]$	$1$
463680.jr2	463680jr2	463680.jr	463680jr	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$1.861475446$	$1$		$17$	$3932160$	$2.035618$	$4716275733/44023437500$	$1.02223$	$3.65872$	$[0, 0, 0, 6708, 26855824]$	\(y^2=x^3+6708x+26855824\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(-142, 4800), (-192, 4300)]$	$1$
463680.lt2	463680lt2	463680.lt	463680lt	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{20} \cdot 3^{3} \cdot 5^{10} \cdot 7^{2} \cdot 23 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9660$	$12$	$0$	$3.444175758$	$1$		$5$	$3932160$	$2.035618$	$4716275733/44023437500$	$1.02223$	$3.65872$	$[0, 0, 0, 6708, -26855824]$	\(y^2=x^3+6708x-26855824\)	2.3.0.a.1, 276.6.0.?, 420.6.0.?, 3220.6.0.?, 9660.12.0.?	$[(397, 6195)]$	$1$

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