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.g4	5304j4	5304.g	5304j	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{16} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1768$	$48$	$0$	$1$	$4$	$2$	$1$	$10240$	$1.174356$	$1744147297148/9513325341$	$0.94948$	$4.34341$	$[0, -1, 0, 2528, -142820]$	\(y^2=x^3-x^2+2528x-142820\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 68.12.0-4.c.1.2, $\ldots$	$[]$
10608.ba4	10608k4	10608.ba	10608k	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{16} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.6	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$20480$	$1.174356$	$1744147297148/9513325341$	$0.94948$	$4.01861$	$[0, 1, 0, 2528, 142820]$	\(y^2=x^3+x^2+2528x+142820\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 68.12.0-4.c.1.1, $\ldots$	$[]$
15912.b4	15912j4	15912.b	15912j	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{22} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$5.499992927$	$1$		$3$	$81920$	$1.723663$	$1744147297148/9513325341$	$0.94948$	$4.53152$	$[0, 0, 0, 22749, 3833390]$	\(y^2=x^3+22749x+3833390\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 136.12.0.?, $\ldots$	$[(-46, 1640)]$
31824.k4	31824q3	31824.k	31824q	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{22} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$12.97246776$	$1$		$1$	$163840$	$1.723663$	$1744147297148/9513325341$	$0.94948$	$4.22857$	$[0, 0, 0, 22749, -3833390]$	\(y^2=x^3+22749x-3833390\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 136.12.0.?, $\ldots$	$[(238066/39, 111950090/39)]$
42432.e4	42432bp3	42432.e	42432bp	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{16} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1768$	$48$	$0$	$6.644553309$	$1$		$1$	$163840$	$1.520931$	$1744147297148/9513325341$	$0.94948$	$3.88609$	$[0, -1, 0, 10111, 1132449]$	\(y^2=x^3-x^2+10111x+1132449\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, $\ldots$	$[(127/3, 30520/3)]$
42432.bl4	42432v3	42432.bl	42432v	$4$	$4$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{16} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$1768$	$48$	$0$	$2.158642989$	$1$		$5$	$163840$	$1.520931$	$1744147297148/9513325341$	$0.94948$	$3.88609$	$[0, 1, 0, 10111, -1132449]$	\(y^2=x^3+x^2+10111x-1132449\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, $\ldots$	$[(154, 2025)]$
68952.d4	68952i3	68952.d	68952i	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{16} \cdot 13^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$1$	$4$	$2$	$1$	$1720320$	$2.456833$	$1744147297148/9513325341$	$0.94948$	$4.72479$	$[0, -1, 0, 427176, -312066756]$	\(y^2=x^3-x^2+427176x-312066756\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$	$[]$
90168.t4	90168bf3	90168.t	90168bf	$4$	$4$	\( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{16} \cdot 13 \cdot 17^{7} \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$1$	$4$	$2$	$3$	$2949120$	$2.590965$	$1744147297148/9513325341$	$0.94948$	$4.75478$	$[0, 1, 0, 730496, -697291504]$	\(y^2=x^3+x^2+730496x-697291504\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$	$[]$
127296.cs4	127296f3	127296.cs	127296f	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{22} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$1$	$4$	$2$	$1$	$1310720$	$2.070236$	$1744147297148/9513325341$	$0.94948$	$4.08367$	$[0, 0, 0, 90996, 30667120]$	\(y^2=x^3+90996x+30667120\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 104.12.0.?, 136.12.0.?, $\ldots$	$[]$
127296.dn4	127296cc3	127296.dn	127296cc	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{22} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$17.87795568$	$1$		$1$	$1310720$	$2.070236$	$1744147297148/9513325341$	$0.94948$	$4.08367$	$[0, 0, 0, 90996, -30667120]$	\(y^2=x^3+90996x-30667120\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 104.12.0.?, 136.12.0.?, $\ldots$	$[(72204704/425, 640375165892/425)]$
132600.cl4	132600bx3	132600.cl	132600bx	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{6} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$1310720$	$1.979076$	$1744147297148/9513325341$	$0.94948$	$3.97679$	$[0, 1, 0, 63192, -17726112]$	\(y^2=x^3+x^2+63192x-17726112\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[]$
137904.bw4	137904cd4	137904.bw	137904cd	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{16} \cdot 13^{7} \cdot 17 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$1768$	$48$	$0$	$5.257257028$	$1$		$5$	$3440640$	$2.456833$	$1744147297148/9513325341$	$0.94948$	$4.44806$	$[0, 1, 0, 427176, 312066756]$	\(y^2=x^3+x^2+427176x+312066756\)	2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$	$[(2061/2, 206955/2)]$
180336.g4	180336cr4	180336.g	180336cr	$4$	$4$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{16} \cdot 13 \cdot 17^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$1768$	$48$	$0$	$16.32875004$	$1$		$5$	$5898240$	$2.590965$	$1744147297148/9513325341$	$0.94948$	$4.48246$	$[0, -1, 0, 730496, 697291504]$	\(y^2=x^3-x^2+730496x+697291504\)	2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$	$[(-555, 10982), (381/2, 221663/2)]$
206856.bx4	206856t4	206856.bx	206856t	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{22} \cdot 13^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$16.02179097$	$1$		$1$	$13762560$	$3.006138$	$1744147297148/9513325341$	$0.94948$	$4.83925$	$[0, 0, 0, 3844581, 8421957830]$	\(y^2=x^3+3844581x+8421957830\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$	$[(5743105/42, 17445928375/42)]$
259896.bv4	259896bv4	259896.bv	259896bv	$4$	$4$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{16} \cdot 7^{6} \cdot 13 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$12376$	$48$	$0$	$4.899312019$	$1$		$9$	$2949120$	$2.147312$	$1744147297148/9513325341$	$0.94948$	$3.92407$	$[0, 1, 0, 123856, 48739536]$	\(y^2=x^3+x^2+123856x+48739536\)	2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[(184, 8820), (1768, 76140)]$
265200.f4	265200f4	265200.f	265200f	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{16} \cdot 5^{6} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$8840$	$48$	$0$	$4.400038683$	$1$		$3$	$2621440$	$1.979076$	$1744147297148/9513325341$	$0.94948$	$3.75606$	$[0, -1, 0, 63192, 17726112]$	\(y^2=x^3-x^2+63192x+17726112\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 104.12.0.?, 136.12.0.?, $\ldots$	$[(-83, 3450)]$
270504.by4	270504by4	270504.by	270504by	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{22} \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$43.30477267$	$1$		$1$	$23592960$	$3.140270$	$1744147297148/9513325341$	$0.94948$	$4.86415$	$[0, 0, 0, 6574461, 18833445070]$	\(y^2=x^3+6574461x+18833445070\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$	$[(-227306314740766830/38876617, 7848349539083737175473600360/38876617)]$
397800.dy4	397800dy4	397800.dy	397800dy	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{22} \cdot 5^{6} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$1$	$10485760$	$2.528381$	$1744147297148/9513325341$	$0.94948$	$4.14918$	$[0, 0, 0, 568725, 479173750]$	\(y^2=x^3+568725x+479173750\)	2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 136.12.0.?, $\ldots$	$[]$
413712.dw4	413712dw3	413712.dw	413712dw	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{22} \cdot 13^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5304$	$48$	$0$	$1$	$4$	$2$	$1$	$27525120$	$3.006138$	$1744147297148/9513325341$	$0.94948$	$4.57989$	$[0, 0, 0, 3844581, -8421957830]$	\(y^2=x^3+3844581x-8421957830\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$	$[]$