Elliptic curves over $\Q$ of conductor 46475

Results (19 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
46475.a1	46475g1	46475.a	46475g	$1$	$1$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{13} \cdot 11 \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1430$	$2$	$0$	$1$	$1$		$0$	$1354752$	$2.546314$	$8792838144/1888046875$	$1.00962$	$5.01152$	$[0, 0, 1, 181675, -573348344]$	\(y^2+y=x^3+181675x-573348344\)	1430.2.0.?	$[]$
46475.b1	46475a3	46475.b	46475a	$3$	$25$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{6} \cdot 11 \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.2	5B.4.2	$7150$	$1200$	$37$	$43.97937822$	$1$		$0$	$1512000$	$2.583904$	$-52893159101157376/11$	$1.09296$	$5.91377$	$[0, 1, 1, -33040908, -73112478656]$	\(y^2+y=x^3+x^2-33040908x-73112478656\)	5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 65.24.0-5.a.2.2, 110.24.1.?, $\ldots$	$[(163317201245990540317/10174486, 2087109063651882019144196588079/10174486)]$
46475.b2	46475a2	46475.b	46475a	$3$	$25$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{6} \cdot 11^{5} \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	5.60.0.1	5Cs.4.1	$7150$	$1200$	$37$	$8.795875644$	$1$		$0$	$302400$	$1.779184$	$-122023936/161051$	$1.01300$	$4.17377$	$[0, 1, 1, -43658, -6374156]$	\(y^2+y=x^3+x^2-43658x-6374156\)	5.60.0.a.1, 22.2.0.a.1, 65.120.0-5.a.1.2, 110.120.5.?, 275.300.12.?, $\ldots$	$[(58517/14, 7408771/14)]$
46475.b3	46475a1	46475.b	46475a	$3$	$25$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{6} \cdot 11 \cdot 13^{6} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$5$	25.60.0.1	5B.4.1	$7150$	$1200$	$37$	$1.759175128$	$1$		$4$	$60480$	$0.974464$	$-4096/11$	$0.82546$	$3.26558$	$[0, 1, 1, -1408, 47844]$	\(y^2+y=x^3+x^2-1408x+47844\)	5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 65.24.0-5.a.1.2, 110.24.1.?, $\ldots$	$[(-48, 84)]$
46475.c1	46475b1	46475.c	46475b	$1$	$1$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{11} \cdot 11^{3} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1430$	$2$	$0$	$1$	$1$		$0$	$4492800$	$2.760963$	$-87056109568/4159375$	$0.90755$	$5.39798$	$[0, -1, 1, -5071408, 4575384218]$	\(y^2+y=x^3-x^2-5071408x+4575384218\)	1430.2.0.?	$[]$
46475.d1	46475h1	46475.d	46475h	$1$	$1$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{10} \cdot 11^{2} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$1$	$1$		$0$	$1411200$	$1.926920$	$2764800/1573$	$0.88208$	$4.30985$	$[0, 0, 1, -105625, 1716406]$	\(y^2+y=x^3-105625x+1716406\)	26.2.0.a.1	$[]$
46475.e1	46475d2	46475.e	46475d	$2$	$3$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{10} \cdot 11^{6} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$390$	$16$	$0$	$1$	$1$		$0$	$2540160$	$3.161613$	$9582250393600/3892119517$	$0.98780$	$5.71107$	$[0, -1, 1, -15984583, 13435952818]$	\(y^2+y=x^3-x^2-15984583x+13435952818\)	3.4.0.a.1, 26.2.0.a.1, 30.8.0-3.a.1.2, 78.8.0.?, 195.8.0.?, $\ldots$	$[]$
46475.e2	46475d1	46475.e	46475d	$2$	$3$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{10} \cdot 11^{2} \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$390$	$16$	$0$	$1$	$1$		$0$	$846720$	$2.612309$	$6263089561600/1573$	$0.96221$	$5.67150$	$[0, -1, 1, -13872083, 19891224693]$	\(y^2+y=x^3-x^2-13872083x+19891224693\)	3.4.0.a.1, 26.2.0.a.1, 30.8.0-3.a.1.1, 78.8.0.?, 195.8.0.?, $\ldots$	$[]$
46475.f1	46475j2	46475.f	46475j	$2$	$3$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{4} \cdot 11^{6} \cdot 13^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$78$	$16$	$0$	$0.289169643$	$1$		$6$	$508032$	$2.356895$	$9582250393600/3892119517$	$0.98780$	$4.81250$	$[0, 1, 1, -639383, 107231869]$	\(y^2+y=x^3+x^2-639383x+107231869\)	3.4.0.a.1, 6.8.0-3.a.1.2, 26.2.0.a.1, 39.8.0-3.a.1.2, 78.16.0.?	$[(-61, 12083)]$
46475.f2	46475j1	46475.f	46475j	$2$	$3$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{4} \cdot 11^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$78$	$16$	$0$	$0.867508929$	$1$		$0$	$169344$	$1.807589$	$6263089561600/1573$	$0.96221$	$4.77293$	$[0, 1, 1, -554883, 158907844]$	\(y^2+y=x^3+x^2-554883x+158907844\)	3.4.0.a.1, 6.8.0-3.a.1.1, 26.2.0.a.1, 39.8.0-3.a.1.1, 78.16.0.?	$[(1693/2, 1855/2)]$
46475.g1	46475c1	46475.g	46475c	$1$	$1$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{6} \cdot 11 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$22$	$2$	$0$	$1$	$1$		$0$	$94080$	$1.397696$	$-262144/1859$	$0.89320$	$3.73207$	$[0, 1, 1, -5633, -594356]$	\(y^2+y=x^3+x^2-5633x-594356\)	22.2.0.a.1	$[]$
46475.h1	46475e1	46475.h	46475e	$2$	$3$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{9} \cdot 11 \cdot 13^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4290$	$16$	$0$	$1$	$1$		$0$	$193536$	$1.598148$	$-16777216/17875$	$0.89397$	$3.97575$	$[0, -1, 1, -22533, 2201968]$	\(y^2+y=x^3-x^2-22533x+2201968\)	3.4.0.a.1, 66.8.0-3.a.1.1, 195.8.0.?, 1430.2.0.?, 4290.16.0.?	$[]$
46475.h2	46475e2	46475.h	46475e	$2$	$3$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{7} \cdot 11^{3} \cdot 13^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$4290$	$16$	$0$	$1$	$1$		$0$	$580608$	$2.147453$	$9855401984/14621035$	$0.89087$	$4.51345$	$[0, -1, 1, 188717, -39519907]$	\(y^2+y=x^3-x^2+188717x-39519907\)	3.4.0.a.1, 66.8.0-3.a.1.2, 195.8.0.?, 1430.2.0.?, 4290.16.0.?	$[]$
46475.i1	46475f4	46475.i	46475f	$4$	$4$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{10} \cdot 11 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$1$	$1$		$0$	$221184$	$1.801529$	$22930509321/6875$	$1.07717$	$4.55044$	$[1, -1, 0, -250067, 48181966]$	\(y^2+xy=x^3-x^2-250067x+48181966\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 44.12.0.h.1, 104.12.0.?, $\ldots$	$[]$
46475.i2	46475f3	46475.i	46475f	$4$	$4$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{7} \cdot 11^{4} \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$1$	$1$		$0$	$221184$	$1.801529$	$2749884201/73205$	$0.94591$	$4.35308$	$[1, -1, 0, -123317, -16249284]$	\(y^2+xy=x^3-x^2-123317x-16249284\)	2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$	$[]$
46475.i3	46475f2	46475.i	46475f	$4$	$4$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{8} \cdot 11^{2} \cdot 13^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2860$	$48$	$0$	$1$	$1$		$2$	$110592$	$1.454954$	$8120601/3025$	$1.05560$	$3.81106$	$[1, -1, 0, -17692, 545091]$	\(y^2+xy=x^3-x^2-17692x+545091\)	2.6.0.a.1, 20.12.0.b.1, 44.12.0.a.1, 52.12.0-2.a.1.1, 220.24.0.?, $\ldots$	$[]$
46475.i4	46475f1	46475.i	46475f	$4$	$4$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{7} \cdot 11 \cdot 13^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$5720$	$48$	$0$	$1$	$1$		$1$	$55296$	$1.108381$	$59319/55$	$0.79207$	$3.35332$	$[1, -1, 0, 3433, 59216]$	\(y^2+xy=x^3-x^2+3433x+59216\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0.z.1, 52.12.0-4.c.1.2, 88.12.0.?, $\ldots$	$[]$
46475.j1	46475k1	46475.j	46475k	$1$	$1$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( 5^{4} \cdot 11^{2} \cdot 13^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$26$	$2$	$0$	$3.082981831$	$1$		$0$	$282240$	$1.122202$	$2764800/1573$	$0.88208$	$3.41128$	$[0, 0, 1, -4225, 13731]$	\(y^2+y=x^3-4225x+13731\)	26.2.0.a.1	$[(-39/2, 1855/2)]$
46475.k1	46475i1	46475.k	46475i	$1$	$1$	\( 5^{2} \cdot 11 \cdot 13^{2} \)	\( - 5^{11} \cdot 11^{3} \cdot 13^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1430$	$2$	$0$	$2.787732173$	$1$		$0$	$345600$	$1.478489$	$-87056109568/4159375$	$0.90755$	$3.96594$	$[0, -1, 1, -30008, 2091793]$	\(y^2+y=x^3-x^2-30008x+2091793\)	1430.2.0.?	$[(373/2, 2471/2)]$