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
14025.i2	14025z1	14025.i	14025z	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 3^{2} \cdot 5^{9} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$5.321610399$	$1$		$1$	$8640$	$0.515166$	$2685619/1683$	$0.78669$	$3.06730$	$[1, 0, 0, 362, -733]$	\(y^2+xy=x^3+362x-733\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[(67/3, 1219/3)]$
14025.s2	14025k1	14025.s	14025k	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 3^{2} \cdot 5^{3} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1.927595090$	$1$		$5$	$1728$	$-0.289552$	$2685619/1683$	$0.78669$	$2.05598$	$[1, 1, 0, 15, 0]$	\(y^2+xy=x^3+x^2+15x\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[(4, 10)]$
42075.g2	42075bz1	42075.g	42075bz	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 3^{8} \cdot 5^{3} \cdot 11 \cdot 17 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$2.272546249$	$1$		$13$	$13824$	$0.259754$	$2685619/1683$	$0.78669$	$2.46294$	$[1, -1, 1, 130, 132]$	\(y^2+xy+y=x^3-x^2+130x+132\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[(8, 36), (35, 198)]$
42075.cg2	42075bv1	42075.cg	42075bv	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 3^{8} \cdot 5^{9} \cdot 11 \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$7.954397418$	$1$		$1$	$69120$	$1.064472$	$2685619/1683$	$0.78669$	$3.36990$	$[1, -1, 0, 3258, 19791]$	\(y^2+xy=x^3-x^2+3258x+19791\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[(-290/7, 6707/7)]$
154275.n2	154275n1	154275.n	154275n	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 3^{2} \cdot 5^{3} \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$1$	$207360$	$0.909395$	$2685619/1683$	$0.78669$	$2.84762$	$[1, 1, 1, 1752, 8856]$	\(y^2+xy+y=x^3+x^2+1752x+8856\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[]$
154275.bu2	154275bl1	154275.bu	154275bl	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 3^{2} \cdot 5^{9} \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$1$	$1036800$	$1.714115$	$2685619/1683$	$0.78669$	$3.65595$	$[1, 0, 1, 43799, 1019423]$	\(y^2+xy+y=x^3+43799x+1019423\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[]$
224400.k2	224400de1	224400.k	224400de	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{9} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$1$	$552960$	$1.208313$	$2685619/1683$	$0.78669$	$3.05215$	$[0, -1, 0, 5792, 46912]$	\(y^2=x^3-x^2+5792x+46912\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[]$
224400.if2	224400z1	224400.if	224400z	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{3} \cdot 11 \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$1$	$110592$	$0.403595$	$2685619/1683$	$0.78669$	$2.26841$	$[0, 1, 0, 232, 468]$	\(y^2=x^3+x^2+232x+468\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[]$
238425.g2	238425g1	238425.g	238425g	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 3^{2} \cdot 5^{9} \cdot 11 \cdot 17^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$1$		$1$	$2488320$	$1.931774$	$2685619/1683$	$0.78669$	$3.73836$	$[1, 1, 1, 104612, -3705844]$	\(y^2+xy+y=x^3+x^2+104612x-3705844\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[]$
238425.cg2	238425cg1	238425.cg	238425cg	$2$	$2$	\( 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \)	\( - 3^{2} \cdot 5^{3} \cdot 11 \cdot 17^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$12.92790596$	$1$		$1$	$497664$	$1.127054$	$2685619/1683$	$0.78669$	$2.95845$	$[1, 0, 1, 4184, -29647]$	\(y^2+xy+y=x^3+4184x-29647\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[(1234843/98, 1467727267/98)]$
462825.p2	462825p1	462825.p	462825p	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 3^{8} \cdot 5^{9} \cdot 11^{7} \cdot 17 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$7.419620842$	$1$		$1$	$8294400$	$2.263420$	$2685619/1683$	$0.78669$	$3.85335$	$[1, -1, 1, 394195, -27524428]$	\(y^2+xy+y=x^3-x^2+394195x-27524428\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[(15262/3, 1982245/3)]$
462825.en2	462825en1	462825.en	462825en	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 17 \)	\( - 3^{8} \cdot 5^{3} \cdot 11^{7} \cdot 17 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$11220$	$12$	$0$	$1$	$4$	$2$	$1$	$1658880$	$1.458702$	$2685619/1683$	$0.78669$	$3.11311$	$[1, -1, 0, 15768, -223349]$	\(y^2+xy=x^3-x^2+15768x-223349\)	2.3.0.a.1, 60.6.0.b.1, 1870.6.0.?, 2244.6.0.?, 11220.12.0.?	$[]$