Elliptic curve search results

Results (11 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
26520.bc5	26520bf3	26520.bc	26520bf	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$0$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.45	2B	$53040$	$192$	$1$	$1$	$1$		$3$	$90112$	$1.519800$	$-194204905090564/566398828125$	$1.08481$	$4.08710$	$[0, 1, 0, -12160, 1264400]$	\(y^2=x^3+x^2-12160x+1264400\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 104.48.0.?, 136.48.0.?, $\ldots$	$[]$
53040.bb5	53040m3	53040.bb	53040m	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.55	2B	$53040$	$192$	$1$	$1$	$1$		$1$	$180224$	$1.519800$	$-194204905090564/566398828125$	$1.08481$	$3.82669$	$[0, -1, 0, -12160, -1264400]$	\(y^2=x^3-x^2-12160x-1264400\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 104.48.0.?, 136.48.0.?, $\ldots$	$[]$
79560.l5	79560f3	79560.l	79560f	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{8} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$10.34096603$	$1$		$1$	$720896$	$2.069107$	$-194204905090564/566398828125$	$1.08481$	$4.27333$	$[0, 0, 0, -109443, -34248242]$	\(y^2=x^3-109443x-34248242\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$	$[(821657/8, 744540093/8)]$
132600.p5	132600ck3	132600.p	132600ck	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{14} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$6.791742638$	$1$		$1$	$2162688$	$2.324520$	$-194204905090564/566398828125$	$1.08481$	$4.34811$	$[0, -1, 0, -304008, 158658012]$	\(y^2=x^3-x^2-304008x+158658012\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 40.24.0-8.n.1.1, $\ldots$	$[(6909/2, 553311/2)]$
159120.bh5	159120dz3	159120.bh	159120dz	$6$	$8$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{8} \cdot 13 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$7.590041237$	$1$		$1$	$1441792$	$2.069107$	$-194204905090564/566398828125$	$1.08481$	$4.02603$	$[0, 0, 0, -109443, 34248242]$	\(y^2=x^3-109443x+34248242\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$	$[(41234/7, 7956250/7)]$
212160.x5	212160hl3	212160.x	212160hl	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.97	2B	$53040$	$192$	$1$	$16.94996403$	$1$		$7$	$1441792$	$1.866375$	$-194204905090564/566398828125$	$1.08481$	$3.73325$	$[0, -1, 0, -48641, 10163841]$	\(y^2=x^3-x^2-48641x+10163841\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 104.48.0.?, 136.48.0.?, $\ldots$	$[(35, 2916), (3680, 222831)]$
212160.ex5	212160bn4	212160.ex	212160bn	$6$	$8$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.95	2B	$53040$	$192$	$1$	$1$	$1$		$1$	$1441792$	$1.866375$	$-194204905090564/566398828125$	$1.08481$	$3.73325$	$[0, 1, 0, -48641, -10163841]$	\(y^2=x^3+x^2-48641x-10163841\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 104.48.0.?, 136.48.0.?, $\ldots$	$[]$
265200.fh5	265200fh4	265200.fh	265200fh	$6$	$8$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{14} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.5	2B	$53040$	$192$	$1$	$1$	$1$		$1$	$4325376$	$2.324520$	$-194204905090564/566398828125$	$1.08481$	$4.10678$	$[0, 1, 0, -304008, -158658012]$	\(y^2=x^3+x^2-304008x-158658012\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 40.24.0-8.n.1.5, $\ldots$	$[]$
344760.br5	344760br3	344760.br	344760br	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.89	2B	$53040$	$192$	$1$	$2.071134462$	$1$		$5$	$15138816$	$2.802277$	$-194204905090564/566398828125$	$1.08481$	$4.47190$	$[0, 1, 0, -2055096, 2786107104]$	\(y^2=x^3+x^2-2055096x+2786107104\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 52.12.0-4.c.1.2, 68.12.0-4.c.1.1, $\ldots$	$[(-1764, 30420)]$
397800.cc5	397800cc4	397800.cc	397800cc	$6$	$8$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{10} \cdot 3^{14} \cdot 5^{14} \cdot 13 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.11	2B	$53040$	$192$	$1$	$1$	$4$	$2$	$1$	$17301504$	$2.873825$	$-194204905090564/566398828125$	$1.08481$	$4.48886$	$[0, 0, 0, -2736075, -4281030250]$	\(y^2=x^3-2736075x-4281030250\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 60.12.0-4.c.1.2, $\ldots$	$[]$
450840.g5	450840g3	450840.g	450840g	$6$	$8$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.94	2B	$53040$	$192$	$1$	$1.315703706$	$4$	$2$	$7$	$25952256$	$2.936409$	$-194204905090564/566398828125$	$1.08481$	$4.50339$	$[0, -1, 0, -3514336, 6233083036]$	\(y^2=x^3-x^2-3514336x+6233083036\)	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 52.12.0-4.c.1.1, 68.12.0-4.c.1.2, $\ldots$	$[(-1082, 93636)]$