Elliptic curve search results

Results (12 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
5010.h2	5010h1	5010.h	5010h	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 167 \)	$0$	$\Z/7\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$7$	7.48.0.1	7B.1.1	$140280$	$96$	$2$	$1$	$1$		$6$	$9408$	$1.092737$	$-358531401121921/3652290000000$	$0.96117$	$4.27697$	$[1, 0, 0, -1480, 94400]$	\(y^2+xy=x^3-1480x+94400\)	7.48.0-7.a.1.2, 20040.2.0.?, 140280.96.2.?	$[]$
15030.b2	15030d1	15030.b	15030d	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{7} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$4.408599880$	$1$		$0$	$75264$	$1.642044$	$-358531401121921/3652290000000$	$0.96117$	$4.47379$	$[1, -1, 0, -13320, -2548800]$	\(y^2+xy=x^3-x^2-13320x-2548800\)	7.24.0.a.1, 21.48.0-7.a.1.2, 20040.2.0.?, 46760.48.0.?, 140280.96.2.?	$[(1299/2, 40497/2)]$
25050.b2	25050b1	25050.b	25050b	$2$	$7$	\( 2 \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{13} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$1$	$1$		$0$	$225792$	$1.897457$	$-358531401121921/3652290000000$	$0.96117$	$4.55076$	$[1, 1, 0, -37000, 11800000]$	\(y^2+xy=x^3+x^2-37000x+11800000\)	7.24.0.a.1, 35.48.0-7.a.1.1, 20040.2.0.?, 28056.48.0.?, 140280.96.2.?	$[]$
40080.o2	40080w1	40080.o	40080w	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{7} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$1$	$1$		$0$	$225792$	$1.785885$	$-358531401121921/3652290000000$	$0.96117$	$4.22263$	$[0, -1, 0, -23680, -6041600]$	\(y^2=x^3-x^2-23680x-6041600\)	7.24.0.a.1, 28.48.0-7.a.1.1, 20040.2.0.?, 140280.96.2.?	$[]$
75150.bh2	75150bi1	75150.bh	75150bi	$2$	$7$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \)	\( - 2^{7} \cdot 3^{13} \cdot 5^{13} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$2.185679577$	$1$		$4$	$1806336$	$2.446762$	$-358531401121921/3652290000000$	$0.96117$	$4.69257$	$[1, -1, 1, -333005, -318933003]$	\(y^2+xy+y=x^3-x^2-333005x-318933003\)	7.24.0.a.1, 105.48.0.?, 9352.48.0.?, 20040.2.0.?, 140280.96.2.?	$[(849, 2700)]$
120240.n2	120240by1	120240.n	120240by	$2$	$7$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{19} \cdot 3^{13} \cdot 5^{7} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$3.336875369$	$1$		$2$	$1806336$	$2.335190$	$-358531401121921/3652290000000$	$0.96117$	$4.38956$	$[0, 0, 0, -213123, 163336322]$	\(y^2=x^3-213123x+163336322\)	7.24.0.a.1, 84.48.0.?, 20040.2.0.?, 46760.48.0.?, 140280.96.2.?	$[(769, 21312)]$
160320.m2	160320cy1	160320.m	160320cy	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{7} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$6.930338981$	$1$		$0$	$1806336$	$2.132458$	$-358531401121921/3652290000000$	$0.96117$	$4.08121$	$[0, -1, 0, -94721, 48427521]$	\(y^2=x^3-x^2-94721x+48427521\)	7.24.0.a.1, 56.48.0-7.a.1.1, 20040.2.0.?, 70140.48.0.?, 140280.96.2.?	$[(7345/7, 2102528/7)]$
160320.bs2	160320q1	160320.bs	160320q	$2$	$7$	\( 2^{6} \cdot 3 \cdot 5 \cdot 167 \)	\( - 2^{25} \cdot 3^{7} \cdot 5^{7} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$1$	$1$		$0$	$1806336$	$2.132458$	$-358531401121921/3652290000000$	$0.96117$	$4.08121$	$[0, 1, 0, -94721, -48427521]$	\(y^2=x^3+x^2-94721x-48427521\)	7.24.0.a.1, 56.48.0-7.a.1.2, 20040.2.0.?, 35070.48.0.?, 140280.96.2.?	$[]$
200400.cr2	200400t1	200400.cr	200400t	$2$	$7$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 167 \)	\( - 2^{19} \cdot 3^{7} \cdot 5^{13} \cdot 167 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$2.419527728$	$1$		$2$	$5419008$	$2.590603$	$-358531401121921/3652290000000$	$0.96117$	$4.45695$	$[0, 1, 0, -592008, -756384012]$	\(y^2=x^3+x^2-592008x-756384012\)	7.24.0.a.1, 140.48.0.?, 20040.2.0.?, 28056.48.0.?, 140280.96.2.?	$[(1278, 24000)]$
245490.bh2	245490bh1	245490.bh	245490bh	$2$	$7$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 167 \)	\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 7^{6} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.48.0.4	7B.1.6	$140280$	$96$	$2$	$1$	$1$		$0$	$3556224$	$2.065693$	$-358531401121921/3652290000000$	$0.96117$	$3.87654$	$[1, 1, 1, -72521, -32451721]$	\(y^2+xy+y=x^3+x^2-72521x-32451721\)	7.48.0-7.a.1.1, 20040.2.0.?, 140280.96.2.?	$[]$
480960.eq2	480960eq1	480960.eq	480960eq	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{25} \cdot 3^{13} \cdot 5^{7} \cdot 167 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$1.182173554$	$1$		$14$	$14450688$	$2.681767$	$-358531401121921/3652290000000$	$0.96117$	$4.24233$	$[0, 0, 0, -852492, 1306690576]$	\(y^2=x^3-852492x+1306690576\)	7.24.0.a.1, 168.48.0.?, 11690.48.0.?, 20040.2.0.?, 140280.96.2.?	$[(13442, 1555200), (642, 32000)]$
480960.fb2	480960fb1	480960.fb	480960fb	$2$	$7$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 167 \)	\( - 2^{25} \cdot 3^{13} \cdot 5^{7} \cdot 167 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.24.0.1	7B.6.1	$140280$	$96$	$2$	$1$	$1$		$0$	$14450688$	$2.681767$	$-358531401121921/3652290000000$	$0.96117$	$4.24233$	$[0, 0, 0, -852492, -1306690576]$	\(y^2=x^3-852492x-1306690576\)	7.24.0.a.1, 168.48.0.?, 20040.2.0.?, 23380.48.0.?, 140280.96.2.?	$[]$