Elliptic curve search results

Results (15 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
6630.ba2	6630x2	6630.ba	6630x	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$97280$	$2.143196$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.88754$	$[1, 0, 0, -656730, 205600500]$	\(y^2+xy=x^3-656730x+205600500\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[]$
19890.k2	19890d2	19890.k	19890d	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$8840$	$48$	$0$	$9.935186547$	$1$		$0$	$778240$	$2.692501$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.90002$	$[1, -1, 0, -5910570, -5551213500]$	\(y^2+xy=x^3-x^2-5910570x-5551213500\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 4420.12.0.?, 8840.48.0.?	$[(368020/3, 222299950/3)]$
33150.c2	33150h2	33150.c	33150h	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$0.270465639$	$1$		$14$	$2334720$	$2.947914$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.90493$	$[1, 1, 0, -16418250, 25700062500]$	\(y^2+xy=x^3+x^2-16418250x+25700062500\)	2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 4420.12.0.?, 5304.12.0.?, $\ldots$	$[(600, 126450)]$
53040.v2	53040bs2	53040.v	53040bs	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$13.55861465$	$1$		$1$	$2334720$	$2.836342$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.52674$	$[0, -1, 0, -10507680, -13158432000]$	\(y^2=x^3-x^2-10507680x-13158432000\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(7584258/43, 8972955606/43)]$
86190.v2	86190x2	86190.v	86190x	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$16343040$	$3.425671$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.91292$	$[1, 0, 1, -110987374, 451815285872]$	\(y^2+xy+y=x^3-110987374x+451815285872\)	2.3.0.a.1, 4.6.0.a.1, 312.12.0.?, 2040.12.0.?, 4420.12.0.?, $\ldots$	$[]$
99450.cj2	99450cz2	99450.cj	99450cz	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1$	$1$		$0$	$18677760$	$3.497219$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.91400$	$[1, -1, 1, -147764255, -694049451753]$	\(y^2+xy+y=x^3-x^2-147764255x-694049451753\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 1768.12.0.?, 4420.12.0.?, $\ldots$	$[]$
112710.bs2	112710bs2	112710.bs	112710bs	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13^{10} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$28016640$	$3.559803$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.91493$	$[1, 1, 1, -189794976, 1010305051473]$	\(y^2+xy+y=x^3+x^2-189794976x+1010305051473\)	2.3.0.a.1, 4.6.0.a.1, 408.12.0.?, 1560.12.0.?, 4420.12.0.?, $\ldots$	$[]$
159120.p2	159120bk2	159120.p	159120bk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$18677760$	$3.385651$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.57015$	$[0, 0, 0, -94569123, 355372233122]$	\(y^2=x^3-94569123x+355372233122\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 4420.12.0.?, 8840.48.0.?	$[]$
212160.bk2	212160hq2	212160.bk	212160hq	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 13^{10} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.292484505$	$1$		$19$	$18677760$	$3.182915$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.24115$	$[0, -1, 0, -42030721, 105309486721]$	\(y^2=x^3-x^2-42030721x+105309486721\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(4003, 34476), (-5279, 424320)]$
212160.el2	212160bg2	212160.el	212160bg	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 13^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$18677760$	$3.182915$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.24115$	$[0, 1, 0, -42030721, -105309486721]$	\(y^2=x^3+x^2-42030721x-105309486721\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[]$
258570.ek2	258570ek2	258570.ek	258570ek	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13^{16} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$26.39734011$	$1$		$0$	$130744320$	$3.974976$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.92060$	$[1, -1, 1, -998886362, -12199012718551]$	\(y^2+xy+y=x^3-x^2-998886362x-12199012718551\)	2.3.0.a.1, 4.6.0.a.1, 104.12.0.?, 680.12.0.?, 4420.12.0.?, $\ldots$	$[(175361449651047/6371, 2321587264570933923851/6371)]$
265200.gg2	265200gg2	265200.gg	265200gg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{8} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$7.324728678$	$1$		$3$	$56033280$	$3.641064$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.58773$	$[0, 1, 0, -262692008, -1645329384012]$	\(y^2=x^3+x^2-262692008x-1645329384012\)	2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 4420.12.0.?, 5304.12.0.?, $\ldots$	$[(1080628, 1123221450)]$
324870.dt2	324870dt2	324870.dt	324870dt	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 13^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$185640$	$48$	$0$	$2.006081264$	$1$		$4$	$35020800$	$3.116150$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.00206$	$[1, 1, 1, -32179771, -70553151271]$	\(y^2+xy+y=x^3+x^2-32179771x-70553151271\)	2.3.0.a.1, 4.6.0.a.1, 168.12.0.?, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(9299, 654450)]$
338130.bg2	338130bg2	338130.bg	338130bg	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13^{10} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$29.81148884$	$1$		$0$	$224133120$	$4.109108$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.92227$	$[1, -1, 0, -1708154784, -27279944544560]$	\(y^2+xy=x^3-x^2-1708154784x-27279944544560\)	2.3.0.a.1, 4.6.0.a.1, 136.12.0.?, 520.12.0.?, 4420.12.0.?, $\ldots$	$[(2261240171760844/146577, 97346432985700843860896/146577)]$
430950.ge2	430950ge2	430950.ge	430950ge	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 13^{16} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$4.739330284$	$1$		$2$	$392232960$	$4.230392$	$-31324512477868037557921/143427974919699600$	$1.04510$	$5.92372$	$[1, 1, 1, -2774684338, 56476910734031]$	\(y^2+xy+y=x^3+x^2-2774684338x+56476910734031\)	2.3.0.a.1, 4.6.0.a.1, 408.12.0.?, 1560.12.0.?, 4420.12.0.?, $\ldots$	$[(28505, 725247)]$