Elliptic curve search results

Results (20 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
3036.a1	3036e2	3036.a	3036e	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 11^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1.554773864$	$1$		$3$	$5760$	$1.113937$	$461188987116496/2811467307$	$0.98272$	$4.90254$	$[0, -1, 0, -10220, -392184]$	\(y^2=x^3-x^2-10220x-392184\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-59, 44)]$
9108.s1	9108m2	9108.s	9108m	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$46080$	$1.663244$	$461188987116496/2811467307$	$0.98272$	$5.03479$	$[0, 0, 0, -91983, 10680950]$	\(y^2=x^3-91983x+10680950\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
12144.v1	12144bj2	12144.v	12144bj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 11^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$23040$	$1.113937$	$461188987116496/2811467307$	$0.98272$	$4.17987$	$[0, 1, 0, -10220, 392184]$	\(y^2=x^3+x^2-10220x+392184\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
33396.b1	33396g2	33396.b	33396g	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 11^{12} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1.810360066$	$1$		$3$	$691200$	$2.312885$	$461188987116496/2811467307$	$0.98272$	$5.15518$	$[0, -1, 0, -1236660, 526943496]$	\(y^2=x^3-x^2-1236660x+526943496\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(994, 16698)]$
36432.cu1	36432cj2	36432.cu	36432cj	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.663244$	$461188987116496/2811467307$	$0.98272$	$4.37026$	$[0, 0, 0, -91983, -10680950]$	\(y^2=x^3-91983x-10680950\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
48576.bz1	48576cy2	48576.bz	48576cy	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \)	\( 2^{14} \cdot 3 \cdot 11^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$184320$	$1.460510$	$461188987116496/2811467307$	$0.98272$	$4.02830$	$[0, -1, 0, -40881, 3178353]$	\(y^2=x^3-x^2-40881x+3178353\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
48576.dx1	48576bc2	48576.dx	48576bc	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \)	\( 2^{14} \cdot 3 \cdot 11^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$4$	$2$	$1$	$184320$	$1.460510$	$461188987116496/2811467307$	$0.98272$	$4.02830$	$[0, 1, 0, -40881, -3178353]$	\(y^2=x^3+x^2-40881x-3178353\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
69828.t1	69828i2	69828.t	69828i	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11 \cdot 23^{2} \)	\( 2^{8} \cdot 3 \cdot 11^{6} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$18.15378201$	$1$		$1$	$3041280$	$2.681683$	$461188987116496/2811467307$	$0.98272$	$5.21105$	$[0, -1, 0, -5406556, 4814954728]$	\(y^2=x^3-x^2-5406556x+4814954728\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(8549371869/1010, 762775038141553/1010)]$
75900.bb1	75900ba2	75900.bb	75900ba	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 11^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$2.246245593$	$1$		$3$	$460800$	$1.918655$	$461188987116496/2811467307$	$0.98272$	$4.35756$	$[0, 1, 0, -255508, -49534012]$	\(y^2=x^3+x^2-255508x-49534012\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-308, 198)]$
100188.bl1	100188bl2	100188.bl	100188bl	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{12} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$30.51031786$	$1$		$1$	$5529600$	$2.862190$	$461188987116496/2811467307$	$0.98272$	$5.23579$	$[0, 0, 0, -11129943, -14216344450]$	\(y^2=x^3-11129943x-14216344450\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-937561901021174/718415, 1009554395117762020824/718415)]$
133584.bx1	133584b2	133584.bx	133584b	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 11^{12} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$22.66418092$	$1$		$1$	$2764800$	$2.312885$	$461188987116496/2811467307$	$0.98272$	$4.54967$	$[0, 1, 0, -1236660, -526943496]$	\(y^2=x^3+x^2-1236660x-526943496\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-130096970821/14125, 4556116481420592/14125)]$
145728.f1	145728c2	145728.f	145728c	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \)	\( 2^{14} \cdot 3^{7} \cdot 11^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$5.447174625$	$1$		$1$	$1474560$	$2.009815$	$461188987116496/2811467307$	$0.98272$	$4.21049$	$[0, 0, 0, -367932, -85447600]$	\(y^2=x^3-367932x-85447600\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-5567/4, 42849/4)]$
145728.h1	145728ea2	145728.h	145728ea	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \)	\( 2^{14} \cdot 3^{7} \cdot 11^{6} \cdot 23^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$0.566162157$	$1$		$29$	$1474560$	$2.009815$	$461188987116496/2811467307$	$0.98272$	$4.21049$	$[0, 0, 0, -367932, 85447600]$	\(y^2=x^3-367932x+85447600\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(26, 8712), (404, 1656)]$
148764.bh1	148764o2	148764.bh	148764o	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 7^{6} \cdot 11^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$6.335315941$	$1$		$1$	$2211840$	$2.086891$	$461188987116496/2811467307$	$0.98272$	$4.28085$	$[0, 1, 0, -500796, 135520692]$	\(y^2=x^3+x^2-500796x+135520692\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(35023/9, 65780/9)]$
209484.b1	209484b2	209484.b	209484b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 23^{2} \)	\( 2^{8} \cdot 3^{7} \cdot 11^{6} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$2.160636557$	$1$		$7$	$24330240$	$3.230991$	$461188987116496/2811467307$	$0.98272$	$5.28179$	$[0, 0, 0, -48659007, -129955118650]$	\(y^2=x^3-48659007x-129955118650\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-4117, 24334)]$
227700.bj1	227700bk2	227700.bj	227700bk	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$4.584723970$	$1$		$3$	$3686400$	$2.467964$	$461188987116496/2811467307$	$0.98272$	$4.50383$	$[0, 0, 0, -2299575, 1335118750]$	\(y^2=x^3-2299575x+1335118750\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-646, 50508)]$
279312.dx1	279312dx2	279312.dx	279312dx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \)	\( 2^{8} \cdot 3 \cdot 11^{6} \cdot 23^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$24.65086551$	$1$		$1$	$12165120$	$2.681683$	$461188987116496/2811467307$	$0.98272$	$4.63497$	$[0, 1, 0, -5406556, -4814954728]$	\(y^2=x^3+x^2-5406556x-4814954728\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-642980202881/21575, 44364516931754778/21575)]$
303600.cc1	303600cc2	303600.cc	303600cc	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3 \cdot 5^{6} \cdot 11^{6} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$1$		$1$	$1843200$	$1.918655$	$461188987116496/2811467307$	$0.98272$	$3.87902$	$[0, -1, 0, -255508, 49534012]$	\(y^2=x^3-x^2-255508x+49534012\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
400752.gk1	400752gk2	400752.gk	400752gk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \)	\( 2^{8} \cdot 3^{7} \cdot 11^{12} \cdot 23^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$1$	$4$	$2$	$1$	$22118400$	$2.862190$	$461188987116496/2811467307$	$0.98272$	$4.67317$	$[0, 0, 0, -11129943, 14216344450]$	\(y^2=x^3-11129943x+14216344450\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[]$
446292.b1	446292b2	446292.b	446292b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( 2^{8} \cdot 3^{7} \cdot 7^{6} \cdot 11^{6} \cdot 23^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$3036$	$12$	$0$	$2.351319433$	$1$		$5$	$17694720$	$2.636200$	$461188987116496/2811467307$	$0.98272$	$4.42604$	$[0, 0, 0, -4507167, -3663565850]$	\(y^2=x^3-4507167x-3663565850\)	2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.?	$[(-1225, 4410)]$