Elliptic curve search results

Results (18 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
10830.o1	10830n2	10830.o	10830n	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$0.197400019$	$1$		$14$	$7680$	$0.637351$	$4904335099/1822500$	$0.97209$	$3.35269$	$[1, 0, 1, -673, -4072]$	\(y^2+xy+y=x^3-673x-4072\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-11, 50)]$
10830.x1	10830w2	10830.x	10830w	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$2.903813278$	$1$		$2$	$145920$	$2.109570$	$4904335099/1822500$	$0.97209$	$5.25435$	$[1, 1, 1, -242780, 27442577]$	\(y^2+xy+y=x^3+x^2-242780x+27442577\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(117, 751)]$
32490.g1	32490h2	32490.g	32490h	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$0$	$1167360$	$2.658878$	$4904335099/1822500$	$0.97209$	$5.33321$	$[1, -1, 0, -2185020, -743134604]$	\(y^2+xy=x^3-x^2-2185020x-743134604\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
32490.bi1	32490bi2	32490.bi	32490bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.575773850$	$1$		$4$	$61440$	$1.186657$	$4904335099/1822500$	$0.97209$	$3.63264$	$[1, -1, 1, -6053, 109937]$	\(y^2+xy+y=x^3-x^2-6053x+109937\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(87, 442)]$
54150.bb1	54150o2	54150.bb	54150o	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$0$	$3502080$	$2.914291$	$4904335099/1822500$	$0.97209$	$5.36446$	$[1, 0, 1, -6069501, 3442461148]$	\(y^2+xy+y=x^3-6069501x+3442461148\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
54150.bx1	54150bl2	54150.bx	54150bl	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{2} \cdot 3^{6} \cdot 5^{10} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$0$	$184320$	$1.442070$	$4904335099/1822500$	$0.97209$	$3.74359$	$[1, 1, 1, -16813, -508969]$	\(y^2+xy+y=x^3+x^2-16813x-508969\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
86640.bk1	86640cg2	86640.bk	86640cg	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.354476116$	$1$		$5$	$184320$	$1.330498$	$4904335099/1822500$	$0.97209$	$3.47108$	$[0, -1, 0, -10760, 260592]$	\(y^2=x^3-x^2-10760x+260592\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-6, 570)]$
86640.dr1	86640du2	86640.dr	86640du	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$3502080$	$2.802719$	$4904335099/1822500$	$0.97209$	$5.02494$	$[0, 1, 0, -3884480, -1764093900]$	\(y^2=x^3+x^2-3884480x-1764093900\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
162450.y1	162450dr2	162450.y	162450dr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{10} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.935703185$	$1$		$20$	$1474560$	$1.991377$	$4904335099/1822500$	$0.97209$	$3.95020$	$[1, -1, 0, -151317, 13590841]$	\(y^2+xy=x^3-x^2-151317x+13590841\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-52, 4643), (29, 3023)]$
162450.dq1	162450be2	162450.dq	162450be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( 2^{2} \cdot 3^{12} \cdot 5^{10} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$12.43107923$	$1$		$0$	$28016640$	$3.463596$	$4904335099/1822500$	$0.97209$	$5.42265$	$[1, -1, 1, -54625505, -92946451003]$	\(y^2+xy+y=x^3-x^2-54625505x-92946451003\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(4859175/13, 10297988026/13)]$
259920.bw1	259920bw2	259920.bw	259920bw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$9.914974161$	$1$		$1$	$28016640$	$3.352024$	$4904335099/1822500$	$0.97209$	$5.11085$	$[0, 0, 0, -34960323, 47595574978]$	\(y^2=x^3-34960323x+47595574978\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(549047/7, 353587842/7)]$
259920.by1	259920by2	259920.by	259920by	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$3.503747709$	$1$		$5$	$1474560$	$1.879805$	$4904335099/1822500$	$0.97209$	$3.69391$	$[0, 0, 0, -96843, -6939142]$	\(y^2=x^3-96843x-6939142\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-241, 1550)]$
346560.bh1	346560bh2	346560.bh	346560bh	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$2.976941697$	$1$		$5$	$1474560$	$1.677073$	$4904335099/1822500$	$0.97209$	$3.41988$	$[0, -1, 0, -43041, -2041695]$	\(y^2=x^3-x^2-43041x-2041695\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(-77, 900)]$
346560.bn1	346560bn2	346560.bn	346560bn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$28016640$	$3.149292$	$4904335099/1822500$	$0.97209$	$4.80487$	$[0, -1, 0, -15537921, -14097213279]$	\(y^2=x^3-x^2-15537921x-14097213279\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
346560.ha1	346560ha2	346560.ha	346560ha	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$28016640$	$3.149292$	$4904335099/1822500$	$0.97209$	$4.80487$	$[0, 1, 0, -15537921, 14097213279]$	\(y^2=x^3+x^2-15537921x+14097213279\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
346560.he1	346560he2	346560.he	346560he	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( 2^{20} \cdot 3^{6} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.000007595$	$1$		$9$	$1474560$	$1.677073$	$4904335099/1822500$	$0.97209$	$3.41988$	$[0, 1, 0, -43041, 2041695]$	\(y^2=x^3+x^2-43041x+2041695\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(327, 4800)]$
433200.cv1	433200cv2	433200.cv	433200cv	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 5^{10} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1$	$1$		$1$	$84049920$	$3.607437$	$4904335099/1822500$	$0.97209$	$5.14585$	$[0, -1, 0, -97112008, -220317513488]$	\(y^2=x^3-x^2-97112008x-220317513488\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[]$
433200.ie1	433200ie2	433200.ie	433200ie	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( 2^{14} \cdot 3^{6} \cdot 5^{10} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$228$	$12$	$0$	$1.399207522$	$1$		$7$	$4423680$	$2.135216$	$4904335099/1822500$	$0.97209$	$3.78467$	$[0, 1, 0, -269008, 32035988]$	\(y^2=x^3+x^2-269008x+32035988\)	2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.?	$[(68, 3750)]$