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
5313.d1	5313d1	5313.d	5313d	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 3^{6} \cdot 7^{5} \cdot 11 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$3542$	$2$	$0$	$1$	$1$		$0$	$4800$	$0.510649$	$5319051554816/3099832659$	$0.95412$	$3.41602$	$[0, 1, 1, 364, -103]$	\(y^2+y=x^3+x^2+364x-103\)	3542.2.0.?	$[]$
15939.a1	15939d1	15939.a	15939d	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 3^{12} \cdot 7^{5} \cdot 11 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1$	$1$		$0$	$38400$	$1.059956$	$5319051554816/3099832659$	$0.95412$	$3.70939$	$[0, 0, 1, 3273, 6048]$	\(y^2+y=x^3+3273x+6048\)	3542.2.0.?	$[]$
37191.i1	37191d1	37191.i	37191d	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 3^{6} \cdot 7^{11} \cdot 11 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1$	$1$		$0$	$230400$	$1.483604$	$5319051554816/3099832659$	$0.95412$	$3.89381$	$[0, -1, 1, 17820, 70895]$	\(y^2+y=x^3-x^2+17820x+70895\)	3542.2.0.?	$[]$
58443.b1	58443r1	58443.b	58443r	$1$	$1$	\( 3 \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 3^{6} \cdot 7^{5} \cdot 11^{7} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$0.096869515$	$1$		$10$	$576000$	$1.709597$	$5319051554816/3099832659$	$0.95412$	$3.98054$	$[0, 1, 1, 44004, 312824]$	\(y^2+y=x^3+x^2+44004x+312824\)	3542.2.0.?	$[(876, 26680)]$
85008.n1	85008bs1	85008.n	85008bs	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{12} \cdot 3^{6} \cdot 7^{5} \cdot 11 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1.166736453$	$1$		$2$	$192000$	$1.203796$	$5319051554816/3099832659$	$0.95412$	$3.31440$	$[0, -1, 0, 5819, 12397]$	\(y^2=x^3-x^2+5819x+12397\)	3542.2.0.?	$[(4, 189)]$
111573.d1	111573z1	111573.d	111573z	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \)	\( - 3^{12} \cdot 7^{11} \cdot 11 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1.012399395$	$1$		$4$	$1843200$	$2.032909$	$5319051554816/3099832659$	$0.95412$	$4.09290$	$[0, 0, 1, 160377, -2074550]$	\(y^2+y=x^3+160377x-2074550\)	3542.2.0.?	$[(385, 10804)]$
122199.k1	122199k1	122199.k	122199k	$1$	$1$	\( 3 \cdot 7 \cdot 11 \cdot 23^{2} \)	\( - 3^{6} \cdot 7^{5} \cdot 11 \cdot 23^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1$	$1$		$0$	$2534400$	$2.078396$	$5319051554816/3099832659$	$0.95412$	$4.10771$	$[0, 1, 1, 192380, 2789647]$	\(y^2+y=x^3+x^2+192380x+2789647\)	3542.2.0.?	$[]$
132825.g1	132825g1	132825.g	132825g	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 3^{6} \cdot 5^{6} \cdot 7^{5} \cdot 11 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$0.795313072$	$1$		$6$	$672000$	$1.315367$	$5319051554816/3099832659$	$0.95412$	$3.30250$	$[0, -1, 1, 9092, -31032]$	\(y^2+y=x^3-x^2+9092x-31032\)	3542.2.0.?	$[(43, 661)]$
175329.bc1	175329ba1	175329.bc	175329ba	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \)	\( - 3^{12} \cdot 7^{5} \cdot 11^{7} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1$	$1$		$0$	$4608000$	$2.258904$	$5319051554816/3099832659$	$0.95412$	$4.16429$	$[0, 0, 1, 396033, -8050221]$	\(y^2+y=x^3+396033x-8050221\)	3542.2.0.?	$[]$
255024.dw1	255024dw1	255024.dw	255024dw	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{12} \cdot 3^{12} \cdot 7^{5} \cdot 11 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1$	$1$		$0$	$1536000$	$1.753101$	$5319051554816/3099832659$	$0.95412$	$3.55140$	$[0, 0, 0, 52368, -387088]$	\(y^2=x^3+52368x-387088\)	3542.2.0.?	$[]$
340032.bx1	340032bx1	340032.bx	340032bx	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 11 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1$	$1$		$0$	$384000$	$0.857223$	$5319051554816/3099832659$	$0.95412$	$2.62713$	$[0, -1, 0, 1455, -2277]$	\(y^2=x^3-x^2+1455x-2277\)	3542.2.0.?	$[]$
340032.fm1	340032fm1	340032.fm	340032fm	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 11 \cdot 23 \)	\( - 2^{6} \cdot 3^{6} \cdot 7^{5} \cdot 11 \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$0.562504999$	$1$		$4$	$384000$	$0.857223$	$5319051554816/3099832659$	$0.95412$	$2.62713$	$[0, 1, 0, 1455, 2277]$	\(y^2=x^3+x^2+1455x+2277\)	3542.2.0.?	$[(12, 147)]$
366597.b1	366597b1	366597.b	366597b	$1$	$1$	\( 3^{2} \cdot 7 \cdot 11 \cdot 23^{2} \)	\( - 3^{12} \cdot 7^{5} \cdot 11 \cdot 23^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$0.965306674$	$1$		$4$	$20275200$	$2.627701$	$5319051554816/3099832659$	$0.95412$	$4.26997$	$[0, 0, 1, 1731417, -73589058]$	\(y^2+y=x^3+1731417x-73589058\)	3542.2.0.?	$[(138, 12960)]$
398475.dl1	398475dl1	398475.dl	398475dl	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 23 \)	\( - 3^{12} \cdot 5^{6} \cdot 7^{5} \cdot 11 \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$1$	$1$		$0$	$5376000$	$1.864674$	$5319051554816/3099832659$	$0.95412$	$3.53232$	$[0, 0, 1, 81825, 756031]$	\(y^2+y=x^3+81825x+756031\)	3542.2.0.?	$[]$
409101.c1	409101c1	409101.c	409101c	$1$	$1$	\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 23 \)	\( - 3^{6} \cdot 7^{11} \cdot 11^{7} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$3542$	$2$	$0$	$5.303568403$	$1$		$8$	$27648000$	$2.682552$	$5319051554816/3099832659$	$0.95412$	$4.28466$	$[0, -1, 1, 2156180, -102986346]$	\(y^2+y=x^3-x^2+2156180x-102986346\)	3542.2.0.?	$[(1489, 80041), (279, 22808)]$