Elliptic curve search results

Results (17 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
4830.f2	4830g1	4830.f	4830g	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.828563027$	$1$		$7$	$2304$	$0.340291$	$14457238157881/49990500$	$0.89834$	$3.57228$	$[1, 1, 0, -507, -4599]$	\(y^2+xy=x^3+x^2-507x-4599\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-13, 9)]$
14490.bn2	14490br1	14490.bn	14490br	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1.521567969$	$1$		$5$	$18432$	$0.889597$	$14457238157881/49990500$	$0.89834$	$3.85065$	$[1, -1, 1, -4568, 119607]$	\(y^2+xy+y=x^3-x^2-4568x+119607\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(17, 207)]$
24150.cg2	24150ch1	24150.cg	24150ch	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$55296$	$1.145010$	$14457238157881/49990500$	$0.89834$	$3.95944$	$[1, 0, 0, -12688, -549508]$	\(y^2+xy=x^3-12688x-549508\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
33810.bb2	33810bf1	33810.bb	33810bf	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.516122504$	$1$		$11$	$110592$	$1.313246$	$14457238157881/49990500$	$0.89834$	$4.02528$	$[1, 0, 1, -24869, 1502876]$	\(y^2+xy+y=x^3-24869x+1502876\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(81, 106)]$
38640.cu2	38640cx1	38640.cu	38640cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$0.390343828$	$1$		$11$	$55296$	$1.033438$	$14457238157881/49990500$	$0.89834$	$3.65649$	$[0, 1, 0, -8120, 278100]$	\(y^2=x^3+x^2-8120x+278100\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(70, 240)]$
72450.v2	72450x1	72450.v	72450x	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.694315$	$14457238157881/49990500$	$0.89834$	$4.15977$	$[1, -1, 0, -114192, 14836716]$	\(y^2+xy=x^3-x^2-114192x+14836716\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
101430.fg2	101430fg1	101430.fg	101430fg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$884736$	$1.862551$	$14457238157881/49990500$	$0.89834$	$4.21348$	$[1, -1, 1, -223817, -40577659]$	\(y^2+xy+y=x^3-x^2-223817x-40577659\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
111090.b2	111090a1	111090.b	111090a	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$1216512$	$1.908037$	$14457238157881/49990500$	$0.89834$	$4.22747$	$[1, 1, 0, -268478, 53272128]$	\(y^2+xy=x^3+x^2-268478x+53272128\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
115920.i2	115920cw1	115920.i	115920cw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$3.291038872$	$1$		$5$	$442368$	$1.582745$	$14457238157881/49990500$	$0.89834$	$3.87728$	$[0, 0, 0, -73083, -7581782]$	\(y^2=x^3-73083x-7581782\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-154, 144)]$
154560.h2	154560dm1	154560.h	154560dm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$3.970390393$	$1$		$3$	$442368$	$1.380011$	$14457238157881/49990500$	$0.89834$	$3.58032$	$[0, -1, 0, -32481, 2257281]$	\(y^2=x^3-x^2-32481x+2257281\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(523, 11316)]$
154560.fy2	154560fi1	154560.fy	154560fi	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$4.637670214$	$1$		$1$	$442368$	$1.380011$	$14457238157881/49990500$	$0.89834$	$3.58032$	$[0, 1, 0, -32481, -2257281]$	\(y^2=x^3+x^2-32481x-2257281\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-411/2, 615/2)]$
169050.ff2	169050dk1	169050.ff	169050dk	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{9} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$2654208$	$2.117966$	$14457238157881/49990500$	$0.89834$	$4.28929$	$[1, 1, 1, -621713, 187859531]$	\(y^2+xy+y=x^3+x^2-621713x+187859531\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
193200.cx2	193200ea1	193200.cx	193200ea	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{9} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$2.044670540$	$1$		$3$	$1327104$	$1.838156$	$14457238157881/49990500$	$0.89834$	$3.96637$	$[0, -1, 0, -203008, 35168512]$	\(y^2=x^3-x^2-203008x+35168512\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(-448, 6000)]$
270480.bv2	270480bv1	270480.bv	270480bv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{3} \cdot 7^{7} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$4$	$2$	$1$	$2654208$	$2.006393$	$14457238157881/49990500$	$0.89834$	$4.02108$	$[0, -1, 0, -397896, -96184080]$	\(y^2=x^3-x^2-397896x-96184080\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
333270.ef2	333270ef1	333270.ef	333270ef	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$3.418688645$	$1$		$3$	$9732096$	$2.457344$	$14457238157881/49990500$	$0.89834$	$4.38060$	$[1, -1, 1, -2416307, -1440763761]$	\(y^2+xy+y=x^3-x^2-2416307x-1440763761\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(2007, 41316)]$
463680.kb2	463680kb1	463680.kb	463680kb	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$1$	$1$		$1$	$3538944$	$1.929317$	$14457238157881/49990500$	$0.89834$	$3.78407$	$[0, 0, 0, -292332, -60654256]$	\(y^2=x^3-292332x-60654256\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[]$
463680.md2	463680md1	463680.md	463680md	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{20} \cdot 3^{9} \cdot 5^{3} \cdot 7 \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$19320$	$12$	$0$	$2.135604676$	$1$		$5$	$3538944$	$1.929317$	$14457238157881/49990500$	$0.89834$	$3.78407$	$[0, 0, 0, -292332, 60654256]$	\(y^2=x^3-292332x+60654256\)	2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?	$[(372, 1840)]$