Elliptic curve search results

Results (18 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
3870.i1	3870c2	3870.i	3870c	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.140887731$	$1$		$4$	$3072$	$0.684000$	$137627865747/36980$	$0.94746$	$4.30157$	$[1, -1, 0, -2904, -59500]$	\(y^2+xy=x^3-x^2-2904x-59500\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-31, 19)]$
3870.q1	3870l2	3870.q	3870l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.899922105$	$1$		$4$	$1024$	$0.134694$	$137627865747/36980$	$0.94746$	$3.50365$	$[1, -1, 1, -323, 2311]$	\(y^2+xy+y=x^3-x^2-323x+2311\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(11, -4)]$
19350.u1	19350a2	19350.u	19350a	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.418374803$	$1$		$8$	$24576$	$0.939413$	$137627865747/36980$	$0.94746$	$3.91069$	$[1, -1, 0, -8067, 280841]$	\(y^2+xy=x^3-x^2-8067x+280841\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(49, 13)]$
19350.cc1	19350bo2	19350.cc	19350bo	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$4$	$2$	$0$	$73728$	$1.488718$	$137627865747/36980$	$0.94746$	$4.57851$	$[1, -1, 1, -72605, -7510103]$	\(y^2+xy+y=x^3-x^2-72605x-7510103\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
30960.j1	30960r2	30960.j	30960r	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 43^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$7.088702683$	$1$		$9$	$24576$	$0.827841$	$137627865747/36980$	$0.94746$	$3.60346$	$[0, 0, 0, -5163, -142758]$	\(y^2=x^3-5163x-142758\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-41, 2), (127, 1118)]$
30960.bl1	30960x2	30960.bl	30960x	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.677370105$	$1$		$3$	$73728$	$1.377148$	$137627865747/36980$	$0.94746$	$4.24093$	$[0, 0, 0, -46467, 3854466]$	\(y^2=x^3-46467x+3854466\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(151, 530)]$
123840.bv1	123840a2	123840.bv	123840a	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{20} \cdot 3^{9} \cdot 5 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$7.560314647$	$1$		$3$	$589824$	$1.723721$	$137627865747/36980$	$0.94746$	$4.09423$	$[0, 0, 0, -185868, -30835728]$	\(y^2=x^3-185868x-30835728\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(3592, 213652)]$
123840.bw1	123840dt2	123840.bw	123840dt	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{20} \cdot 3^{9} \cdot 5 \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$7.054324491$	$1$		$1$	$589824$	$1.723721$	$137627865747/36980$	$0.94746$	$4.09423$	$[0, 0, 0, -185868, 30835728]$	\(y^2=x^3-185868x+30835728\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(6556/5, 44704/5)]$
123840.fd1	123840p2	123840.fd	123840p	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{20} \cdot 3^{3} \cdot 5 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$1$	$196608$	$1.174416$	$137627865747/36980$	$0.94746$	$3.53212$	$[0, 0, 0, -20652, 1142064]$	\(y^2=x^3-20652x+1142064\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
123840.fe1	123840ee2	123840.fe	123840ee	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 \)	\( 2^{20} \cdot 3^{3} \cdot 5 \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$4$	$2$	$1$	$196608$	$1.174416$	$137627865747/36980$	$0.94746$	$3.53212$	$[0, 0, 0, -20652, -1142064]$	\(y^2=x^3-20652x-1142064\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
154800.dm1	154800ei2	154800.dm	154800ei	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{14} \cdot 3^{9} \cdot 5^{7} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$5.430391300$	$1$		$3$	$1769472$	$2.181866$	$137627865747/36980$	$0.94746$	$4.47784$	$[0, 0, 0, -1161675, 481808250]$	\(y^2=x^3-1161675x+481808250\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(799, 7982)]$
154800.dn1	154800ej2	154800.dn	154800ej	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 \)	\( 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$4.131020346$	$1$		$3$	$589824$	$1.632561$	$137627865747/36980$	$0.94746$	$3.92623$	$[0, 0, 0, -129075, -17844750]$	\(y^2=x^3-129075x-17844750\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(415, 250)]$
166410.y1	166410cn2	166410.y	166410cn	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$7.573453697$	$1$		$0$	$1892352$	$2.015293$	$137627865747/36980$	$0.94746$	$4.28464$	$[1, -1, 0, -596649, -177198655]$	\(y^2+xy=x^3-x^2-596649x-177198655\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-7051/4, 8551/4)]$
166410.bx1	166410bc2	166410.bx	166410bc	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \)	\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 43^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$9.425877294$	$1$		$2$	$5677056$	$2.564602$	$137627865747/36980$	$0.94746$	$4.83293$	$[1, -1, 1, -5369843, 4789733527]$	\(y^2+xy+y=x^3-x^2-5369843x+4789733527\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(17867, 2360092)]$
189630.v1	189630ev2	189630.v	189630ev	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.025071729$	$1$		$8$	$1179648$	$1.656956$	$137627865747/36980$	$0.94746$	$3.88476$	$[1, -1, 0, -142305, 20693105]$	\(y^2+xy=x^3-x^2-142305x+20693105\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(268, 1189)]$
189630.ep1	189630bt2	189630.ep	189630bt	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 7^{6} \cdot 43^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$4.373523740$	$1$		$0$	$393216$	$1.107649$	$137627865747/36980$	$0.94746$	$3.34236$	$[1, -1, 1, -15812, -761141]$	\(y^2+xy+y=x^3-x^2-15812x-761141\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-289/2, 391/2)]$
468270.q1	468270q2	468270.q	468270q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 11^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$0$	$1474560$	$1.333641$	$137627865747/36980$	$0.94746$	$3.31866$	$[1, -1, 0, -39045, -2959159]$	\(y^2+xy=x^3-x^2-39045x-2959159\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
468270.ds1	468270ds2	468270.ds	468270ds	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 \)	\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 11^{6} \cdot 43^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$		$0$	$4423680$	$1.882948$	$137627865747/36980$	$0.94746$	$3.82350$	$[1, -1, 1, -351407, 80248699]$	\(y^2+xy+y=x^3-x^2-351407x+80248699\)	2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$