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
19320.ba3	19320bb3	19320.ba	19320bb	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.6	2Cs	$6440$	$192$	$1$	$2.944203387$	$1$		$7$	$114688$	$1.672081$	$76343005935514084/694180580625$	$0.94393$	$4.64140$	$[0, 1, 0, -89080, -10182400]$	\(y^2=x^3+x^2-89080x-10182400\)	2.6.0.a.1, 4.24.0-4.b.1.1, 40.48.0-40.h.1.1, 56.48.0-56.e.1.9, 184.48.0.?, $\ldots$	$[(-181, 210)]$
38640.bf3	38640k3	38640.bf	38640k	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.5	2Cs	$6440$	$192$	$1$	$2.685516151$	$1$		$15$	$229376$	$1.672081$	$76343005935514084/694180580625$	$0.94393$	$4.33680$	$[0, -1, 0, -89080, 10182400]$	\(y^2=x^3-x^2-89080x+10182400\)	2.6.0.a.1, 4.24.0-4.b.1.3, 40.48.0-40.h.1.13, 56.48.0-56.e.1.1, 184.48.0.?, $\ldots$	$[(140, 660)]$
57960.v3	57960r3	57960.v	57960r	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$917504$	$2.221390$	$76343005935514084/694180580625$	$0.94393$	$4.77749$	$[0, 0, 0, -801723, 274123078]$	\(y^2=x^3-801723x+274123078\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0.h.1, 56.24.0.e.1, $\ldots$	$[]$
96600.d3	96600i3	96600.d	96600i	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$6440$	$192$	$1$	$1$	$1$		$3$	$2752512$	$2.476799$	$76343005935514084/694180580625$	$0.94393$	$4.83190$	$[0, -1, 0, -2227008, -1268345988]$	\(y^2=x^3-x^2-2227008x-1268345988\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 20.24.0-4.b.1.1, 40.48.0-40.h.1.14, $\ldots$	$[]$
115920.d3	115920q3	115920.d	115920q	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$1835008$	$2.221390$	$76343005935514084/694180580625$	$0.94393$	$4.49350$	$[0, 0, 0, -801723, -274123078]$	\(y^2=x^3-801723x-274123078\)	2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0.h.1, 56.24.0.e.1, $\ldots$	$[]$
135240.e3	135240bs3	135240.e	135240bs	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.19	2Cs	$6440$	$192$	$1$	$5.695599321$	$1$		$5$	$5505024$	$2.645039$	$76343005935514084/694180580625$	$0.94393$	$4.86516$	$[0, -1, 0, -4364936, 3483833340]$	\(y^2=x^3-x^2-4364936x+3483833340\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 28.24.0-4.b.1.1, 40.48.0-40.h.1.20, $\ldots$	$[(4318, 255200)]$
154560.by3	154560hp4	154560.by	154560hp	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.20	2Cs	$6440$	$192$	$1$	$1$	$4$	$2$	$3$	$1835008$	$2.018654$	$76343005935514084/694180580625$	$0.94393$	$4.18170$	$[0, -1, 0, -356321, -81102879]$	\(y^2=x^3-x^2-356321x-81102879\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 28.24.0-4.b.1.2, 40.48.0-40.h.1.9, $\ldots$	$[]$
154560.ek3	154560bx3	154560.ek	154560bx	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$2$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.21	2Cs	$6440$	$192$	$1$	$2.450640680$	$1$		$25$	$1835008$	$2.018654$	$76343005935514084/694180580625$	$0.94393$	$4.18170$	$[0, 1, 0, -356321, 81102879]$	\(y^2=x^3+x^2-356321x+81102879\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 28.24.0-4.b.1.2, 40.48.0-40.h.1.5, $\ldots$	$[(277, 1932), (394, 1425)]$
193200.hl3	193200ft3	193200.hl	193200ft	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.17	2Cs	$6440$	$192$	$1$	$3.102431771$	$1$		$7$	$5505024$	$2.476799$	$76343005935514084/694180580625$	$0.94393$	$4.55673$	$[0, 1, 0, -2227008, 1268345988]$	\(y^2=x^3+x^2-2227008x+1268345988\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 20.24.0-4.b.1.3, 40.48.0-40.h.1.2, $\ldots$	$[(678, 8400)]$
270480.gv3	270480gv4	270480.gv	270480gv	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.19	2Cs	$6440$	$192$	$1$	$1$	$1$		$3$	$11010048$	$2.645039$	$76343005935514084/694180580625$	$0.94393$	$4.59555$	$[0, 1, 0, -4364936, -3483833340]$	\(y^2=x^3+x^2-4364936x-3483833340\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 28.24.0-4.b.1.3, 40.48.0-40.h.1.32, $\ldots$	$[]$
289800.cf3	289800cf3	289800.cf	289800cf	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$8.911581581$	$1$		$3$	$22020096$	$3.026108$	$76343005935514084/694180580625$	$0.94393$	$4.93393$	$[0, 0, 0, -20043075, 34265384750]$	\(y^2=x^3-20043075x+34265384750\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.7, 40.24.0.h.1, 56.24.0.e.1, $\ldots$	$[(82939/5, 8182512/5)]$
405720.gr3	405720gr4	405720.gr	405720gr	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 7^{8} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$5.904628852$	$1$		$3$	$44040192$	$3.194344$	$76343005935514084/694180580625$	$0.94393$	$4.96171$	$[0, 0, 0, -39284427, -94024215754]$	\(y^2=x^3-39284427x-94024215754\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.6, 40.24.0.h.1, 56.24.0.e.1, $\ldots$	$[(642103/3, 512469440/3)]$
444360.bm3	444360bm3	444360.bm	444360bm	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.11	2Cs	$6440$	$192$	$1$	$1$	$4$	$2$	$3$	$60555264$	$3.239830$	$76343005935514084/694180580625$	$0.94393$	$4.96897$	$[0, 1, 0, -47123496, 123512273280]$	\(y^2=x^3+x^2-47123496x+123512273280\)	2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 40.48.0-40.h.1.4, 56.48.0-56.e.1.6, $\ldots$	$[]$
463680.ko3	463680ko4	463680.ko	463680ko	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1$	$1$		$3$	$14680064$	$2.567963$	$76343005935514084/694180580625$	$0.94393$	$4.33481$	$[0, 0, 0, -3206892, -2192984624]$	\(y^2=x^3-3206892x-2192984624\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.1, 40.24.0.h.1, 56.24.0.e.1, $\ldots$	$[]$
463680.ln3	463680ln3	463680.ln	463680ln	$6$	$8$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( 2^{16} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 23^{4} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.3	2Cs	$19320$	$192$	$1$	$1.371064810$	$1$		$11$	$14680064$	$2.567963$	$76343005935514084/694180580625$	$0.94393$	$4.33481$	$[0, 0, 0, -3206892, 2192984624]$	\(y^2=x^3-3206892x+2192984624\)	2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.11, 40.24.0.h.1, 56.24.0.e.1, $\ldots$	$[(878, 7360)]$