Elliptic curve search results

Results (13 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
4584.c2	4584c1	4584.c	4584c	$2$	$2$	\( 2^{3} \cdot 3 \cdot 191 \)	\( - 2^{10} \cdot 3^{8} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$1.895339587$	$1$		$7$	$2048$	$0.434039$	$-381775972/1253151$	$0.94912$	$3.39130$	$1$	$[0, 1, 0, -152, -1920]$	\(y^2=x^3+x^2-152x-1920\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(40, 240)]$	$1$
9168.g2	9168a1	9168.g	9168a	$2$	$2$	\( 2^{4} \cdot 3 \cdot 191 \)	\( - 2^{10} \cdot 3^{8} \cdot 191 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$1$	$1$		$1$	$4096$	$0.434039$	$-381775972/1253151$	$0.94912$	$3.13365$	$1$	$[0, -1, 0, -152, 1920]$	\(y^2=x^3-x^2-152x+1920\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[ ]$	$1$
13752.c2	13752c1	13752.c	13752c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 191 \)	\( - 2^{10} \cdot 3^{14} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$2.927903200$	$1$		$3$	$16384$	$0.983345$	$-381775972/1253151$	$0.94912$	$3.69206$	$1$	$[0, 0, 0, -1371, 50470]$	\(y^2=x^3-1371x+50470\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(26, 180)]$	$1$
27504.d2	27504c1	27504.d	27504c	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 191 \)	\( - 2^{10} \cdot 3^{14} \cdot 191 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$1$	$1$		$1$	$32768$	$0.983345$	$-381775972/1253151$	$0.94912$	$3.44171$	$1$	$[0, 0, 0, -1371, -50470]$	\(y^2=x^3-1371x-50470\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[ ]$	$1$
36672.b2	36672c1	36672.b	36672c	$2$	$2$	\( 2^{6} \cdot 3 \cdot 191 \)	\( - 2^{16} \cdot 3^{8} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$4.984010530$	$1$		$3$	$32768$	$0.780612$	$-381775972/1253151$	$0.94912$	$3.11602$	$1$	$[0, -1, 0, -609, -14751]$	\(y^2=x^3-x^2-609x-14751\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(275, 4532)]$	$1$
36672.t2	36672x1	36672.t	36672x	$2$	$2$	\( 2^{6} \cdot 3 \cdot 191 \)	\( - 2^{16} \cdot 3^{8} \cdot 191 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$1.187233001$	$1$		$23$	$32768$	$0.780612$	$-381775972/1253151$	$0.94912$	$3.11602$	$1$	$[0, 1, 0, -609, 14751]$	\(y^2=x^3+x^2-609x+14751\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(15, 96), (-15, 144)]$	$1$
110016.bg2	110016n1	110016.bg	110016n	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 191 \)	\( - 2^{16} \cdot 3^{14} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$3.221368002$	$1$		$5$	$262144$	$1.329918$	$-381775972/1253151$	$0.94912$	$3.38896$	$1$	$[0, 0, 0, -5484, 403760]$	\(y^2=x^3-5484x+403760\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(-92, 360)]$	$1$
110016.bj2	110016bg1	110016.bj	110016bg	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 191 \)	\( - 2^{16} \cdot 3^{14} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$8.590250786$	$1$		$3$	$262144$	$1.329918$	$-381775972/1253151$	$0.94912$	$3.38896$	$1$	$[0, 0, 0, -5484, -403760]$	\(y^2=x^3-5484x-403760\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(16085, 2039985)]$	$1$
114600.i2	114600a1	114600.i	114600a	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 191 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$3.006619598$	$1$		$3$	$262144$	$1.238758$	$-381775972/1253151$	$0.94912$	$3.28317$	$1$	$[0, -1, 0, -3808, -232388]$	\(y^2=x^3-x^2-3808x-232388\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(242, 3600)]$	$1$
224616.e2	224616h1	224616.e	224616h	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 191 \)	\( - 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$3.836849927$	$1$		$3$	$786432$	$1.406994$	$-381775972/1253151$	$0.94912$	$3.26771$	$1$	$[0, -1, 0, -7464, 643644]$	\(y^2=x^3-x^2-7464x+643644\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(14, 736)]$	$1$
229200.da2	229200db1	229200.da	229200db	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 191 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 191 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$0.593387761$	$1$		$11$	$524288$	$1.238758$	$-381775972/1253151$	$0.94912$	$3.09879$	$1$	$[0, 1, 0, -3808, 232388]$	\(y^2=x^3+x^2-3808x+232388\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[(8, 450)]$	$1$
343800.w2	343800w1	343800.w	343800w	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 191 \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 191 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$1$	$1$		$1$	$2097152$	$1.788063$	$-381775972/1253151$	$0.94912$	$3.51731$	$1$	$[0, 0, 0, -34275, 6308750]$	\(y^2=x^3-34275x+6308750\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[ ]$	$1$
449232.bu2	449232bu1	449232.bu	449232bu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 191 \)	\( - 2^{10} \cdot 3^{8} \cdot 7^{6} \cdot 191 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1528$	$12$	$0$	$1$	$1$		$1$	$1572864$	$1.406994$	$-381775972/1253151$	$0.94912$	$3.09368$	$1$	$[0, 1, 0, -7464, -643644]$	\(y^2=x^3+x^2-7464x-643644\)	2.3.0.a.1, 8.6.0.c.1, 382.6.0.?, 1528.12.0.?	$[ ]$	$1$

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