Elliptic curve search results

Results (19 matches)

 

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
5304.g2	5304j2	5304.g	5304j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$1$	$1$		$3$	$5120$	$0.827784$	$2927363579728/320445801$	$0.90371$	$3.99364$	$[0, -1, 0, -1892, -27900]$	\(y^2=x^3-x^2-1892x-27900\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.1, 68.24.0-68.b.1.2, 884.48.0.?	$[]$
10608.ba2	10608k2	10608.ba	10608k	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$1$	$1$		$3$	$10240$	$0.827784$	$2927363579728/320445801$	$0.90371$	$3.69500$	$[0, 1, 0, -1892, 27900]$	\(y^2=x^3+x^2-1892x+27900\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 68.24.0-68.b.1.1, 884.48.0.?	$[]$
15912.b2	15912j2	15912.b	15912j	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{14} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2652$	$48$	$0$	$2.749996463$	$1$		$9$	$40960$	$1.377089$	$2927363579728/320445801$	$0.90371$	$4.22147$	$[0, 0, 0, -17031, 770330]$	\(y^2=x^3-17031x+770330\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 156.24.0.?, $\ldots$	$[(107, 416)]$
31824.k2	31824q2	31824.k	31824q	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{14} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2652$	$48$	$0$	$6.486233882$	$1$		$3$	$81920$	$1.377089$	$2927363579728/320445801$	$0.90371$	$3.93924$	$[0, 0, 0, -17031, -770330]$	\(y^2=x^3-17031x-770330\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 156.24.0.?, $\ldots$	$[(1702/3, 44954/3)]$
42432.e2	42432bp2	42432.e	42432bp	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1768$	$48$	$0$	$3.322276654$	$1$		$5$	$81920$	$1.174356$	$2927363579728/320445801$	$0.90371$	$3.60458$	$[0, -1, 0, -7569, 230769]$	\(y^2=x^3-x^2-7569x+230769\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 104.24.0.?, $\ldots$	$[(-35, 672)]$
42432.bl2	42432v2	42432.bl	42432v	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1768$	$48$	$0$	$1.079321494$	$1$		$13$	$81920$	$1.174356$	$2927363579728/320445801$	$0.90371$	$3.60458$	$[0, 1, 0, -7569, -230769]$	\(y^2=x^3+x^2-7569x-230769\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 104.24.0.?, $\ldots$	$[(-54, 153)]$
68952.d2	68952i2	68952.d	68952i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$1$	$4$	$2$	$3$	$860160$	$2.110256$	$2927363579728/320445801$	$0.90371$	$4.45555$	$[0, -1, 0, -319804, -62575436]$	\(y^2=x^3-x^2-319804x-62575436\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.1, 68.24.0-68.b.1.3, 884.48.0.?	$[]$
90168.t2	90168bf2	90168.t	90168bf	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{8} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$1$	$1$		$3$	$1474560$	$2.244389$	$2927363579728/320445801$	$0.90371$	$4.49186$	$[0, 1, 0, -546884, -140353824]$	\(y^2=x^3+x^2-546884x-140353824\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 68.24.0-68.b.1.2, 884.48.0.?	$[]$
127296.cs2	127296f2	127296.cs	127296f	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{14} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5304$	$48$	$0$	$1$	$1$		$3$	$655360$	$1.723663$	$2927363579728/320445801$	$0.90371$	$3.82847$	$[0, 0, 0, -68124, 6162640]$	\(y^2=x^3-68124x+6162640\)	2.6.0.a.1, 24.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 312.24.0.?, $\ldots$	$[]$
127296.dn2	127296cc2	127296.dn	127296cc	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{14} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$5304$	$48$	$0$	$8.938977840$	$1$		$3$	$655360$	$1.723663$	$2927363579728/320445801$	$0.90371$	$3.82847$	$[0, 0, 0, -68124, -6162640]$	\(y^2=x^3-68124x-6162640\)	2.6.0.a.1, 24.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 312.24.0.?, $\ldots$	$[(-48040/17, 3703700/17)]$
132600.cl2	132600bx2	132600.cl	132600bx	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4420$	$48$	$0$	$1$	$1$		$3$	$655360$	$1.632502$	$2927363579728/320445801$	$0.90371$	$3.72247$	$[0, 1, 0, -47308, -3582112]$	\(y^2=x^3+x^2-47308x-3582112\)	2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 260.24.0.?, $\ldots$	$[]$
137904.bw2	137904cd2	137904.bw	137904cd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$2.628628514$	$1$		$7$	$1720320$	$2.110256$	$2927363579728/320445801$	$0.90371$	$4.19458$	$[0, 1, 0, -319804, 62575436]$	\(y^2=x^3+x^2-319804x+62575436\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 68.24.0-68.b.1.3, 884.48.0.?	$[(-34, 8568)]$
180336.g2	180336cr2	180336.g	180336cr	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{8} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$16.32875004$	$1$		$11$	$2949120$	$2.244389$	$2927363579728/320445801$	$0.90371$	$4.23460$	$[0, -1, 0, -546884, 140353824]$	\(y^2=x^3-x^2-546884x+140353824\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 68.24.0-68.b.1.1, 884.48.0.?	$[(244, 4624), (1365, 43992)]$
206856.bx2	206856t2	206856.bx	206856t	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{14} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2652$	$48$	$0$	$8.010895486$	$1$		$3$	$6881280$	$2.659565$	$2927363579728/320445801$	$0.90371$	$4.59417$	$[0, 0, 0, -2878239, 1692415010]$	\(y^2=x^3-2878239x+1692415010\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 156.24.0.?, $\ldots$	$[(13003/7, 10557000/7)]$
259896.bv2	259896bv2	259896.bv	259896bv	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$6188$	$48$	$0$	$1.224828004$	$1$		$37$	$1474560$	$1.800739$	$2927363579728/320445801$	$0.90371$	$3.68348$	$[0, 1, 0, -92724, 9755136]$	\(y^2=x^3+x^2-92724x+9755136\)	2.6.0.a.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 364.24.0.?, $\ldots$	$[(30, 2646), (102, 1170)]$
265200.f2	265200f2	265200.f	265200f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4420$	$48$	$0$	$2.200019341$	$1$		$9$	$1310720$	$1.632502$	$2927363579728/320445801$	$0.90371$	$3.51586$	$[0, -1, 0, -47308, 3582112]$	\(y^2=x^3-x^2-47308x+3582112\)	2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 260.24.0.?, $\ldots$	$[(76, 648)]$
270504.by2	270504by2	270504.by	270504by	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{14} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2652$	$48$	$0$	$21.65238633$	$1$		$3$	$11796480$	$2.793697$	$2927363579728/320445801$	$0.90371$	$4.62433$	$[0, 0, 0, -4921959, 3784631290]$	\(y^2=x^3-4921959x+3784631290\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 156.24.0.?, $\ldots$	$[(17182374843/2929, 1112692607047840/2929)]$
397800.dy2	397800dy2	397800.dy	397800dy	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{14} \cdot 5^{6} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$13260$	$48$	$0$	$1$	$1$		$3$	$5242880$	$2.181808$	$2927363579728/320445801$	$0.90371$	$3.91653$	$[0, 0, 0, -425775, 96291250]$	\(y^2=x^3-425775x+96291250\)	2.6.0.a.1, 52.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.b.1, 780.24.0.?, $\ldots$	$[]$
413712.dw2	413712dw2	413712.dw	413712dw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{14} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2652$	$48$	$0$	$1$	$4$	$2$	$3$	$13762560$	$2.659565$	$2927363579728/320445801$	$0.90371$	$4.34795$	$[0, 0, 0, -2878239, -1692415010]$	\(y^2=x^3-2878239x-1692415010\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.b.1, 156.24.0.?, $\ldots$	$[]$