Elliptic curve search results

Results (20 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
13860.g2	13860b1	13860.g	13860b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.552157707$	$1$		$9$	$16128$	$0.904189$	$158328373248/21175$	$0.91321$	$4.03156$	$[0, 0, 0, -7668, 258417]$	\(y^2=x^3-7668x+258417\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(46, 55)]$
13860.v2	13860h1	13860.v	13860h	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.927049130$	$1$		$3$	$5376$	$0.354883$	$158328373248/21175$	$0.91321$	$3.34038$	$[0, 0, 0, -852, -9571]$	\(y^2=x^3-852x-9571\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(223, 3300)]$
55440.bf2	55440by1	55440.bf	55440by	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$5.412521436$	$1$		$3$	$64512$	$0.904189$	$158328373248/21175$	$0.91321$	$3.51990$	$[0, 0, 0, -7668, -258417]$	\(y^2=x^3-7668x-258417\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(8589, 795960)]$
55440.cr2	55440cf1	55440.cr	55440cf	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.259882564$	$1$		$3$	$21504$	$0.354883$	$158328373248/21175$	$0.91321$	$2.91643$	$[0, 0, 0, -852, 9571]$	\(y^2=x^3-852x+9571\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(-3, 110)]$
69300.m2	69300b1	69300.m	69300b	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$387072$	$1.708908$	$158328373248/21175$	$0.91321$	$4.31579$	$[0, 0, 0, -191700, 32302125]$	\(y^2=x^3-191700x+32302125\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
69300.bk2	69300f1	69300.bk	69300f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1.300440662$	$1$		$7$	$129024$	$1.159603$	$158328373248/21175$	$0.91321$	$3.72441$	$[0, 0, 0, -21300, -1196375]$	\(y^2=x^3-21300x-1196375\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(-84, 11)]$
97020.bm2	97020k1	97020.bm	97020k	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$258048$	$1.327839$	$158328373248/21175$	$0.91321$	$3.79109$	$[0, 0, 0, -41748, 3282853]$	\(y^2=x^3-41748x+3282853\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
97020.bz2	97020s1	97020.bz	97020s	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$774144$	$1.877144$	$158328373248/21175$	$0.91321$	$4.36514$	$[0, 0, 0, -375732, -88637031]$	\(y^2=x^3-375732x-88637031\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
152460.k2	152460by1	152460.k	152460by	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$21.36238541$	$1$		$1$	$1935360$	$2.103138$	$158328373248/21175$	$0.91321$	$4.42706$	$[0, 0, 0, -927828, -343953027]$	\(y^2=x^3-927828x-343953027\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(15050691159/3539, 736934950123740/3539)]$
152460.bl2	152460bo1	152460.bl	152460bo	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \)	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$645120$	$1.553831$	$158328373248/21175$	$0.91321$	$3.87474$	$[0, 0, 0, -103092, 12739001]$	\(y^2=x^3-103092x+12739001\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
221760.da2	221760he1	221760.da	221760he	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.882193682$	$1$		$7$	$172032$	$0.701457$	$158328373248/21175$	$0.91321$	$2.92584$	$[0, 0, 0, -3408, 76568]$	\(y^2=x^3-3408x+76568\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(38, 44)]$
221760.ep2	221760np1	221760.ep	221760np	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$172032$	$0.701457$	$158328373248/21175$	$0.91321$	$2.92584$	$[0, 0, 0, -3408, -76568]$	\(y^2=x^3-3408x-76568\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
221760.hr2	221760gp1	221760.hr	221760gp	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$5.671250006$	$1$		$3$	$516096$	$1.250763$	$158328373248/21175$	$0.91321$	$3.46135$	$[0, 0, 0, -30672, -2067336]$	\(y^2=x^3-30672x-2067336\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(3273, 186975)]$
221760.np2	221760mm1	221760.np	221760mm	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \)	\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$1$		$1$	$516096$	$1.250763$	$158328373248/21175$	$0.91321$	$3.46135$	$[0, 0, 0, -30672, 2067336]$	\(y^2=x^3-30672x+2067336\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
277200.kl2	277200kl1	277200.kl	277200kl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.458359024$	$1$		$1$	$516096$	$1.159603$	$158328373248/21175$	$0.91321$	$3.31243$	$[0, 0, 0, -21300, 1196375]$	\(y^2=x^3-21300x+1196375\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(745/3, 550/3)]$
277200.nh2	277200nh1	277200.nh	277200nh	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 11^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$1$	$4$	$2$	$1$	$1548288$	$1.708908$	$158328373248/21175$	$0.91321$	$3.83839$	$[0, 0, 0, -191700, -32302125]$	\(y^2=x^3-191700x-32302125\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[]$
388080.do2	388080do1	388080.do	388080do	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.471140998$	$1$		$3$	$1032192$	$1.327839$	$158328373248/21175$	$0.91321$	$3.38270$	$[0, 0, 0, -41748, -3282853]$	\(y^2=x^3-41748x-3282853\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(329, 4312)]$
388080.og2	388080og1	388080.og	388080og	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$2.635558266$	$1$		$3$	$3096576$	$1.877144$	$158328373248/21175$	$0.91321$	$3.89491$	$[0, 0, 0, -375732, 88637031]$	\(y^2=x^3-375732x+88637031\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(-399, 13230)]$
485100.s2	485100s1	485100.s	485100s	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 7^{7} \cdot 11^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$5.848448971$	$1$		$1$	$18579456$	$2.681862$	$158328373248/21175$	$0.91321$	$4.56612$	$[0, 0, 0, -9393300, -11079628875]$	\(y^2=x^3-9393300x-11079628875\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(226905/8, 6912675/8)]$
485100.en2	485100en1	485100.en	485100en	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \)	\( 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 11^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$420$	$12$	$0$	$0.932866830$	$1$		$23$	$6193152$	$2.132557$	$158328373248/21175$	$0.91321$	$4.06263$	$[0, 0, 0, -1043700, 410356625]$	\(y^2=x^3-1043700x+410356625\)	2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.?	$[(70, 18375), (610, 825)]$