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
41650.l1	41650bd1	41650.l	41650bd	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{10} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1428$	$16$	$0$	$1$	$9$	$3$	$0$	$483840$	$2.225636$	$-4768951705/272$	$0.89436$	$5.13489$	$[1, 1, 0, -1681950, -840333500]$	\(y^2+xy=x^3+x^2-1681950x-840333500\)	3.4.0.a.1, 21.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1428.16.0.?	$[]$
41650.y1	41650u1	41650.y	41650u	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 17 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$204$	$16$	$0$	$1$	$1$		$2$	$69120$	$1.252682$	$-4768951705/272$	$0.89436$	$4.03727$	$[1, 0, 1, -34326, 2445048]$	\(y^2+xy+y=x^3-34326x+2445048\)	3.8.0-3.a.1.2, 68.2.0.a.1, 204.16.0.?	$[]$
41650.bv1	41650bj1	41650.bv	41650bj	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1020$	$16$	$0$	$0.860510324$	$1$		$4$	$13824$	$0.447963$	$-4768951705/272$	$0.89436$	$3.12944$	$[1, 1, 1, -1373, 19011]$	\(y^2+xy+y=x^3+x^2-1373x+19011\)	3.4.0.a.1, 15.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1020.16.0.?	$[(21, -10)]$
41650.cg1	41650br1	41650.cg	41650br	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7140$	$16$	$0$	$19.05637305$	$1$		$0$	$96768$	$1.420918$	$-4768951705/272$	$0.89436$	$4.22706$	$[1, 0, 0, -67278, -6722668]$	\(y^2+xy=x^3-67278x-6722668\)	3.4.0.a.1, 68.2.0.a.1, 105.8.0.?, 204.8.0.?, 7140.16.0.?	$[(240117406/719, 2847219017170/719)]$
333200.br1	333200br1	333200.br	333200br	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{2} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7140$	$16$	$0$	$6.153375044$	$1$		$2$	$2322432$	$2.114067$	$-4768951705/272$	$0.89436$	$4.18993$	$[0, -1, 0, -1076448, 430250752]$	\(y^2=x^3-x^2-1076448x+430250752\)	3.4.0.a.1, 68.2.0.a.1, 204.8.0.?, 420.8.0.?, 3570.8.0.?, $\ldots$	$[(-134, 23918)]$
333200.bs1	333200bs1	333200.bs	333200bs	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{8} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$204$	$16$	$0$	$10.08849092$	$1$		$0$	$1658880$	$1.945829$	$-4768951705/272$	$0.89436$	$4.03117$	$[0, -1, 0, -549208, -156483088]$	\(y^2=x^3-x^2-549208x-156483088\)	3.4.0.a.1, 12.8.0-3.a.1.1, 68.2.0.a.1, 102.8.0.?, 204.16.0.?	$[(287938/17, 82846450/17)]$
333200.ex1	333200ex1	333200.ex	333200ex	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{8} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1428$	$16$	$0$	$19.50250390$	$1$		$0$	$11612160$	$2.918785$	$-4768951705/272$	$0.89436$	$4.94931$	$[0, 1, 0, -26911208, 53727521588]$	\(y^2=x^3+x^2-26911208x+53727521588\)	3.4.0.a.1, 68.2.0.a.1, 84.8.0.?, 204.8.0.?, 714.8.0.?, $\ldots$	$[(278258948/457, 13578357593254/457)]$
333200.ey1	333200ey1	333200.ey	333200ey	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{16} \cdot 5^{2} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1020$	$16$	$0$	$6.535174004$	$1$		$2$	$331776$	$1.141109$	$-4768951705/272$	$0.89436$	$3.27179$	$[0, 1, 0, -21968, -1260652]$	\(y^2=x^3+x^2-21968x-1260652\)	3.4.0.a.1, 60.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 510.8.0.?, $\ldots$	$[(1292, 46138)]$
374850.bq1	374850bq1	374850.bq	374850bq	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1020$	$16$	$0$	$1$	$1$		$0$	$414720$	$0.997270$	$-4768951705/272$	$0.89436$	$3.10728$	$[1, -1, 0, -12357, -525659]$	\(y^2+xy=x^3-x^2-12357x-525659\)	3.4.0.a.1, 15.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1020.16.0.?	$[]$
374850.ca1	374850ca1	374850.ca	374850ca	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \cdot 17 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$7140$	$16$	$0$	$1$	$1$		$0$	$2903040$	$1.970224$	$-4768951705/272$	$0.89436$	$4.01699$	$[1, -1, 0, -605502, 181512036]$	\(y^2+xy=x^3-x^2-605502x+181512036\)	3.4.0.a.1, 68.2.0.a.1, 105.8.0.?, 204.8.0.?, 7140.16.0.?	$[]$
374850.jk1	374850jk1	374850.jk	374850jk	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{10} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1428$	$16$	$0$	$4.801274307$	$1$		$2$	$14515200$	$2.774944$	$-4768951705/272$	$0.89436$	$4.76940$	$[1, -1, 1, -15137555, 22673866947]$	\(y^2+xy+y=x^3-x^2-15137555x+22673866947\)	3.4.0.a.1, 21.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1428.16.0.?	$[(3069, 69990)]$
374850.js1	374850js1	374850.js	374850js	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 17 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$204$	$16$	$0$	$10.74444862$	$1$		$0$	$2073600$	$1.801989$	$-4768951705/272$	$0.89436$	$3.85969$	$[1, -1, 1, -308930, -66016303]$	\(y^2+xy+y=x^3-x^2-308930x-66016303\)	3.8.0-3.a.1.1, 68.2.0.a.1, 204.16.0.?	$[(52015/9, -4033/9)]$