Elliptic curve search results

Results (32 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
4840.a1	4840e2	4840.a	4840e	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$12672$	$1.420359$	$821516/25$	$0.82838$	$4.96560$	$[0, 1, 0, -26176, -1595376]$	\(y^2=x^3+x^2-26176x-1595376\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
4840.b1	4840b2	4840.b	4840b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.576526909$	$1$		$9$	$1152$	$0.221412$	$821516/25$	$0.82838$	$3.26990$	$[0, 1, 0, -216, 1120]$	\(y^2=x^3+x^2-216x+1120\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(-4, 44)]$
9680.y1	9680d2	9680.y	9680d	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.701148838$	$1$		$3$	$25344$	$1.420359$	$821516/25$	$0.82838$	$4.59057$	$[0, -1, 0, -26176, 1595376]$	\(y^2=x^3-x^2-26176x+1595376\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(486, 10170)]$
9680.z1	9680c2	9680.z	9680c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.333242690$	$1$		$3$	$2304$	$0.221412$	$821516/25$	$0.82838$	$3.02295$	$[0, -1, 0, -216, -1120]$	\(y^2=x^3-x^2-216x-1120\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(38, 210)]$
24200.bb1	24200u2	24200.bb	24200u	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$27648$	$1.026131$	$821516/25$	$0.82838$	$3.70520$	$[0, -1, 0, -5408, 150812]$	\(y^2=x^3-x^2-5408x+150812\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
24200.bc1	24200c2	24200.bc	24200c	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$11.22897625$	$1$		$1$	$304128$	$2.225079$	$821516/25$	$0.82838$	$5.13052$	$[0, -1, 0, -654408, -198113188]$	\(y^2=x^3-x^2-654408x-198113188\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(1600682/41, 442597500/41)]$
38720.l1	38720cy2	38720.l	38720cy	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.984013693$	$1$		$7$	$18432$	$0.567986$	$821516/25$	$0.82838$	$3.01994$	$[0, 1, 0, -865, -9825]$	\(y^2=x^3+x^2-865x-9825\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(-17, 16)]$
38720.m1	38720cx2	38720.m	38720cx	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.624226077$	$1$		$5$	$202752$	$1.766933$	$821516/25$	$0.82838$	$4.38185$	$[0, 1, 0, -104705, 12658303]$	\(y^2=x^3+x^2-104705x+12658303\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(151, 560)]$
38720.df1	38720ba2	38720.df	38720ba	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.567986$	$821516/25$	$0.82838$	$3.01994$	$[0, -1, 0, -865, 9825]$	\(y^2=x^3-x^2-865x+9825\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
38720.dg1	38720z2	38720.dg	38720z	$2$	$2$	\( 2^{6} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$9$	$3$	$1$	$202752$	$1.766933$	$821516/25$	$0.82838$	$4.38185$	$[0, -1, 0, -104705, -12658303]$	\(y^2=x^3-x^2-104705x-12658303\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
43560.bw1	43560u2	43560.bw	43560u	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.290634907$	$1$		$3$	$304128$	$1.969666$	$821516/25$	$0.82838$	$4.56128$	$[0, 0, 0, -235587, 42839566]$	\(y^2=x^3-235587x+42839566\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(1367, 47700)]$
43560.bz1	43560cd2	43560.bz	43560cd	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$27648$	$0.770718$	$821516/25$	$0.82838$	$3.21439$	$[0, 0, 0, -1947, -32186]$	\(y^2=x^3-1947x-32186\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
48400.p1	48400f2	48400.p	48400f	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.764387571$	$1$		$7$	$55296$	$1.026131$	$821516/25$	$0.82838$	$3.46712$	$[0, 1, 0, -5408, -150812]$	\(y^2=x^3+x^2-5408x-150812\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(-48, 22)]$
48400.q1	48400e2	48400.q	48400e	$2$	$2$	\( 2^{4} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$2.949472829$	$1$		$7$	$608256$	$2.225079$	$821516/25$	$0.82838$	$4.80086$	$[0, 1, 0, -654408, 198113188]$	\(y^2=x^3+x^2-654408x+198113188\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(528, 250)]$
87120.er1	87120br2	87120.er	87120br	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$7.649249249$	$1$		$3$	$608256$	$1.969666$	$821516/25$	$0.82838$	$4.28333$	$[0, 0, 0, -235587, -42839566]$	\(y^2=x^3-235587x-42839566\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(27883, 4655250)]$
87120.ew1	87120bp2	87120.ew	87120bp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.606477660$	$1$		$5$	$55296$	$0.770718$	$821516/25$	$0.82838$	$3.01852$	$[0, 0, 0, -1947, 32186]$	\(y^2=x^3-1947x+32186\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(11, 110)]$
193600.bm1	193600gi2	193600.bm	193600gi	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$7.717337476$	$1$		$1$	$4866048$	$2.571651$	$821516/25$	$0.82838$	$4.59578$	$[0, 1, 0, -2617633, -1587523137]$	\(y^2=x^3+x^2-2617633x-1587523137\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(16762/3, 27125/3)]$
193600.bs1	193600gj2	193600.bs	193600gj	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 5^{8} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.977820121$	$1$		$5$	$442368$	$1.372704$	$821516/25$	$0.82838$	$3.41392$	$[0, 1, 0, -21633, 1184863]$	\(y^2=x^3+x^2-21633x+1184863\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(98, 125)]$
193600.ia1	193600es2	193600.ia	193600es	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$4866048$	$2.571651$	$821516/25$	$0.82838$	$4.59578$	$[0, -1, 0, -2617633, 1587523137]$	\(y^2=x^3-x^2-2617633x+1587523137\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
193600.ie1	193600et2	193600.ie	193600et	$2$	$2$	\( 2^{6} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{16} \cdot 5^{8} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.372704$	$821516/25$	$0.82838$	$3.41392$	$[0, -1, 0, -21633, -1184863]$	\(y^2=x^3-x^2-21633x-1184863\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
217800.di1	217800fu2	217800.di	217800fu	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$5.373005071$	$1$		$11$	$663552$	$1.575438$	$821516/25$	$0.82838$	$3.57914$	$[0, 0, 0, -48675, -4023250]$	\(y^2=x^3-48675x-4023250\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(295, 2700), (-121, 308)]$
217800.dz1	217800bz2	217800.dz	217800bz	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$7.102322074$	$1$		$1$	$7299072$	$2.774384$	$821516/25$	$0.82838$	$4.74967$	$[0, 0, 0, -5889675, 5354945750]$	\(y^2=x^3-5889675x+5354945750\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(15790/3, 554750/3)]$
237160.co1	237160co2	237160.co	237160co	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$3.434292699$	$1$		$1$	$442368$	$1.194366$	$821516/25$	$0.82838$	$3.18503$	$[0, -1, 0, -10600, -405348]$	\(y^2=x^3-x^2-10600x-405348\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(-267/2, 147/2)]$
237160.cr1	237160cr2	237160.cr	237160cr	$2$	$2$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$4866048$	$2.393314$	$821516/25$	$0.82838$	$4.34751$	$[0, -1, 0, -1282640, 544648700]$	\(y^2=x^3-x^2-1282640x+544648700\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
348480.ek1	348480ek2	348480.ek	348480ek	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.123390301$	$1$		$7$	$442368$	$1.117292$	$821516/25$	$0.82838$	$3.01650$	$[0, 0, 0, -7788, 257488]$	\(y^2=x^3-7788x+257488\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(66, 176)]$
348480.el1	348480el2	348480.el	348480el	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 11^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$442368$	$1.117292$	$821516/25$	$0.82838$	$3.01650$	$[0, 0, 0, -7788, -257488]$	\(y^2=x^3-7788x-257488\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
348480.eo1	348480eo2	348480.eo	348480eo	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.461070506$	$1$		$5$	$4866048$	$2.316238$	$821516/25$	$0.82838$	$4.14392$	$[0, 0, 0, -942348, -342716528]$	\(y^2=x^3-942348x-342716528\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(-486, 688)]$
348480.ep1	348480ep2	348480.ep	348480ep	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \)	\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$4866048$	$2.316238$	$821516/25$	$0.82838$	$4.14392$	$[0, 0, 0, -942348, 342716528]$	\(y^2=x^3-942348x+342716528\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
435600.jp1	435600jp2	435600.jp	435600jp	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 11^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$3.735053034$	$1$		$13$	$1327104$	$1.575438$	$821516/25$	$0.82838$	$3.38807$	$[0, 0, 0, -48675, 4023250]$	\(y^2=x^3-48675x+4023250\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(155, 450), (210, 1750)]$
435600.ky1	435600ky2	435600.ky	435600ky	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$4$	$2$	$1$	$14598144$	$2.774384$	$821516/25$	$0.82838$	$4.49612$	$[0, 0, 0, -5889675, -5354945750]$	\(y^2=x^3-5889675x-5354945750\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
474320.bs1	474320bs2	474320.bs	474320bs	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.999426375$	$1$		$7$	$884736$	$1.194366$	$821516/25$	$0.82838$	$3.01611$	$[0, 1, 0, -10600, 405348]$	\(y^2=x^3+x^2-10600x+405348\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(16, 490)]$
474320.bw1	474320bw2	474320.bw	474320bw	$2$	$2$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 11^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$4.430555172$	$1$		$3$	$9732096$	$2.393314$	$821516/25$	$0.82838$	$4.11694$	$[0, 1, 0, -1282640, -544648700]$	\(y^2=x^3+x^2-1282640x-544648700\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(-677, 3724)]$